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There are 366 different Starters of The Day, many to
choose from. You will find in the left column below some starters on the topic of Simultaneous EquationsNotes:
This topic covers simultaneous equations with two different variables. The starters pose real world problems which can be solved using the techniques taught at school or by other intuitive methods.
Though there are many formal strategies for solving simultaneous equations the skill of forming the equations from real life situations is a very important stage in working towards a solution.
Algebraic methods are the most efficient for solving basic simultaneous equations but graphical methods, probably using a graphic display calculator or computer software package, may be more suitable for less standard sets of simultaneous equations.
Simultaneous Equations Activities:
Algebra In Action: Real life problems adapted from an old Mathematics textbook which can be solved using algebra.
Pentadd Quiz: Find the five numbers which when added or multiplied together in pairs to produce the given sums or products.
Simultaneous Equations Worksheets/Printables:
Simultaneous Equations External Links:
Links to other websites containing resources for Simultaneous Equations | 677.169 | 1 |
Each of these workbooks provides on-grade-level mathematics practice. These titles are 100% aligned with Texas' standards for mathematics to serve as even better test preparation tools. Hundreds of practice questions ensure that students are familiar with the TEKS mathematics exam format before walking into the test. Questions match the format that students can expect to see on TEKS exams. Many questions involve graphic representations, an important part of the TEKS exam. Teacher editions show correct and suggested answers for each of the questions asked, as well as the targeted skill for the questions. Our mathematics workbooks are the most effective test preparation tools available! Also great for home schooling | 677.169 | 1 |
220 - ConnectedMath 2 Emery 220 - ConnectedMath 2 - unless otherwise noted students need to demonstrate proficiency without the use of a calculatorOutcome Proficient High Performance Instructional Activities EvidenceStudent can correctly divide fractions using Student can use the area model as well as an Bits and Pieces II Inv 4 1 4 4Able to divide fractions an algorithm discovered in the classr...
Location-Based Social Networking Data: An Exploration into the Use of a Doubly-Constrained Gravity Model for Origin-Destination Estimation Jin Cebelak Yang Ran and Walton 1Location-Based Social Networking Data An Exploration into the Use of a Doubly-Constrained Gravity Model for Origin-Destination EstimationPeter J Jin Ph D Research AssociateDepartment of Civil Architectural and Environmental Engi...
Download How Likely Is It (Connected Mathematics Data Analysis and Probability) [Paperback].pdf Free How Likely Is It Connected Mathematics Data Analysis andProbability PaperbackByJane H Fraser Pittsburgh Classical Academyclass has undergone a big change since the district adopted the Connected Mathematics program paperback frommy classroom library and pretending to read Geometry and Measurement D...
helping you understand why it s great to be with get Connected your usageTo help you understand what your usage allowanceOrange mobile broadbandit s fastwhereveryou re sittingactually means to you take a look at the table belowup to 3 5 Meg now and 7 2 Meg by the end of the yearit s easy to set up3GB usage gives youjust connect the dongle to your laptop and click on the Orange3 hours of surfing th...
Microsoft Word - Case6-Math.docx Tamara SharpeCase 6 Reflection The Nature of MathematicsUntil recently I always saw mathematics simply as numbers Numbers wasalways the common factor throughout my experience in Math and I didn t reallythink that Math went much beyond numbers This is not to say that I did not enjoymath because I did I liked the fact that Math always involved solid and concreteanswe...
166 MATHEMATICS Math MATHEMATICSMATHMATHEMATICSWhat is Mathematics Studying Math is an Exploration Outcome 1 - Problem Solvingof the science of numbers and their operations Use quantitative reasoning to solve everydayinterrelations combinations generalizations and mathematical problems in the workplace and in theabstractions and of space configurations and their homestructure measurement transform...
Data Protection and Recovery in the Small and Mid-sized Business SMBAn Outlook Report from Storage Strategies NOWBy Deni Connor Patrick H Corrigan and James E BagleyIntern Emily HernandezOctober 11 2010Storage Strategies NOW8815 Mountain Path CircleAustin Texas 78759Note The information and recommendations made by Storage Strategies NOW Inc are based upon public information and sources and may als Math and science can be adapted to teachersobjectives and federal and state requirements and provides Data to drive instruction Across central Massa...
Microsoft Word - 6-22 Exploration Scope & Sequence.doc Scope and SequenceCCNA Exploration v4 0The course objectives and outline of the final two CCNA Exploration courses LAN Switching andWireless and Accessing the WAN are subject to change since the courses are still under developmentThe English versions of those two courses are scheduled to be available in the November December 2007timeframeTarge...
Correlation analysis for compositional Data Peter Filzmoser1 and Karel Hron2AbstractCompositional Data need a special treatment prior to correlation analysis In thispaper we argue why standard transformations for compositional Data are not suit-able for computing correlations and why the use of raw or log-transformed Data isneither meaningful As a solution a procedure based on balances is outlined... | 677.169 | 1 |
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Unformatted text preview: rned the calculator off, the calculator, including
the display and any error condition, returns exactly as you left it. Turning the Calculator Off
When you press $ to turn the calculator off:
The displayed value is cleared.
Any unfinished standard-calculator operation is canceled.
Any worksheet calculation in progress is canceled.
Any error condition is cleared.
The Constant Memory feature retains all worksheet values and
settings, including the contents of the 10 memories and all format
settings. The Automatic Power Down Feature (APD )
To prolong the life of the battery, the Automatic Power Down (APD )
feature turns the calculator off automatically if you do not press any key
for approximately 10 minutes. Using the Keys
Primary Functions
The primary function of a key is indicated by the symbol on the face of the
key. Throughout the manual, primary functions are shown in boxes: Secondary Functions
Second functions are marked above the keys. To access the second
function of a key, press
before pressing the key. Throughout the
manual, second functions are shown in brackets and are preceded by the
key symbol: 2 Chapter 1: Overview of Calculator Operations Understanding the Display
The display shows entries and results with up to 10 digits. The display
indicators provide information about the status of the calculator and tell
you what keys are available at different times. ABC represents the spaces where the three-letter abbreviations for the
variable labels are displayed. Display Indicators
Indicator Meaning 2nd The calculator will access the second function of the
next key pressed. INV The calculator will access the inverse function of the
next key or key sequence pressed. HYP The calculator will access the hyperbolic function of the
next key or key sequence pressed. COMPUTE You can compute a value for the displayed variable by
pressing
. ENTER You can enter a value for the displayed variable by
keying in a value and pressing
. SET The displayed variable is a setting t...
View
Full Document | 677.169 | 1 |
Algebra 2 Honors
Project Info
Project Description
Algebra 2 Honors provides a rigorous in-depth study of the topics of Algebra II with emphasis on proof, theory, development of formulas, and application. Topics include, but are not limited to, the following: algebraic structure, equations in more than one variable, systems and inequalities, functions and relations, polynomials and expressions, complex numbers, logarithms, conic sections, sequence and series, probability and matrices. This course will include all concepts necessary to meet college-prep Algebra II objectives. Students are required to complete all course and homework assignments, quizzes, tests, and semester exams as well as solidify skills through instructional video assignments. Students may participate in math challenges and competitions. A TI-83 or TI-84 (preferred) calculator is required (TI-86/89 and Casio graphing calculators are not recommended). Geometry is strongly recommended before taking Algebra 2. Weekly use of Circle's eLearning Campus will be required. This is a two day per week course. Foundational skills required for success in this course will be assessed prior to or during the first week of class and may affect placement | 677.169 | 1 |
ISBN 13: 9780716716433
Calculus
A text for the mainstream calculus course, Harley Flanders' "Calculus" focuses on teaching students how to use calculus - how to set up and solve problems. With its organization, the book introduces major topics with informal explanations and graphics before discussing mathematical details. Worked out examples illustrate techniques and applications, and numerous, varied exercises, graded in level of difficulty, provide students with the practice they need. | 677.169 | 1 |
Course Information
Course Description
Students will use math to help
solve problems and make sound decisions in "real life" consumer and
employment-related situations.Topics
covered include: calculating pay and fringe benefits, managing your money using
budgets, checking, and savings accounts, housing and transportation costs,
taxes and insurance, and investments.
Graduation StandardPersonal
and Family Resource Management
PrerequisiteNone
Required MaterialsCalculator
Notebook
R-book
Textbook
(Instructor Provided)
3-ring
Binder
Workbook
(Instructor Provided)
Writing
Utensil
TechnologyMicrosoft
Excel
Microsoft
PowerPoint
Microsoft
Word
Multimedia
Equipment
World
Wide Web
Textbook(s)Business
Math
Classroom Policies
Attendance:Regular attendance in all classes is vital
to ensuring a quality learning experience and productive future for all
students.
Absences:
All
coursework missed must be completed within two (2) school days for each
day absent.If coursework is not
completed within the timeframe, students will receive a "0".
Tardy(ies):
1.Students are to be in their
seat when the bell rings.
2.Every third tardy accumulated
by a particular student in one grading period will be equivalent to an
unexcused absence which will result in Tuesday/Thursday school and grade
reduction (see Unexcused Absences).
3.A student will be considered
tardy if he/she must return to their locker to retrieve required materials
needed for class.
Unexcused Absences:
Work
missed during unexcused absences must be completed; however, credit will
not be granted.
An
unexcused absence will be considered in the computing of student
grades.Each unexcused absence
will result in a 5% reduction of the total quarter grade, not to exceed a
maximum of 20% of the grade.
Bathroom:Students will be allowed to use the
bathroom, via a pass, between the first and last fifteen minutes of the class
period.One student will be allowed to
leave the room at any given time.
Bell Ringer:Most days will start
with an activity that will be started as soon as the bell rings.Students will earn class participation
points for completing the activity.
Calculator:All students will need a
calculator for each class period.For
quizzes and tests, students must use their own calculator.
Coursework:All coursework will only be accepted at the
beginning of the period on the day the coursework is due.
Drink:Prohibited.
Extra credit:Students can earn
extra credit points by obtaining extra help via a math teacher or through an
appointment with Mr. Jasperson (see Office Information).
Food:Prohibited.
See Student Expectations
Grading Policies
Semester and quarter grades will
be based on weighted-total points.Grades
are posted weekly for student review.The following grade scale will be used for all grades: | 677.169 | 1 |
Trigonometry Identities PowerPoint Task Cards Graphic Organizer.
This engaging lesson mini bundle is designed for Trigonometry. Students apply their reasoning skills along with their trigonometric skills to solving identities. The PowerPoint hasTrig Identities and Formulas Flip Books. Foldable, easy, and your students will love this.
Two great new resources for your Calculus and Trig students. This product includes two different foldable Flip Books.
The first is a small, handy FlipCalculus Derivatives Flip Book.
Perfect for ALL Calculus students, Calculus AB, Calculus BC, Calculus Honors, College and dual enrollment Calculus!
This must-have Flip Book includes all 24 derivative formulas that students must learn to Flip Book includes Combinations, Permutations, and Counting Principles taught in most Algebra classes and in Statistics.
There are 19 problems for students to complete including a challenge problem on the back which is great for | 677.169 | 1 |
Can somebody help me? I am in deep difficulty. It's about beginner algebra . I tried to find anyone in my vicinity who can help me out with scientific notation, radicals and complex fractions. But I failed. I also know that it will be difficult for me to bear the expense. My exams are near. What should I do? Anyone out there who can help me?
I find these routine problems on almost every forum I visit. Please don't misunderstand me. It's just as we enter college, things change in a flash. Studies become complex all of a sudden. As a result, students encounter trouble in doing their homework. beginner algebra in itself is a quite complex subject. There is a program named as Algebra Helper which can help you in this situation.
That's true, a good program can do miracles . I tried a few but Algebra Helper is the best. It doesn't matter what class you are in, I myself used it in Intermediate algebra and Intermediate algebra as well, so you don't have to worry that it's not on your level. If you never used a software until now I can assure you it's very easy, you don't need to know anything about the computer to use it. You just have to type in the keywords of the exercise, and then the software solves it step by step, so you get more than just the answer | 677.169 | 1 |
Ch 20: Additional Topics: Sets
About This Chapter
The information in this Additional Topics - Sets chapter is designed to teach you how to write sets and create a subset of a universal set. Discover how to use set notation and interval notation by watching this chapter's online video lessons.
Additional Topics - Sets - Chapter Summary
Discover what you need to know about math sets in this Additional Topics - Sets chapter. Learn to differentiate between 1- and 2-variable inequalities and study the rules for transforming single inequalities into compound inequalities. When you watch this chapter's online video lessons, you'll learn how to define and identify a complement of a set and use a Venn diagram. The lessons will teach you how to use alternate notation for a universal set. Through the videos in this chapter, you can also learn how to:
Describe the use of commutativity, associativity or a double negative
Explain the use of universal sets, complements and subsets
Recognize a universal set in math
Illustrate the complement of a set
Define sample spaces
Express compound inequalities with set notation and interval notation
The Additional Topics - Sets chapter consists of short video lessons that were created to present educational information in a fun and entertaining manner. The lessons are taught by experienced instructors. You can either submit your questions to instructors, or you can use the handy video tags located in the timeline to go back and re-watch any part of the video.
Another option is to review the corresponding transcripts to clarify any of the material. Once you have finished the lessons, take the self-assessment quizzes to measure your progress. You can also take the chapter examination for this purpose | 677.169 | 1 |
For decades, this hassle-free treatise on complex Euclidean geometry has been the traditional textbook during this quarter of classical arithmetic; no different publication has lined the topic rather to boot. It explores the geometry of the triangle and the circle, focusing on extensions of Euclidean thought, and analyzing intimately many rather contemporary theorems. a number of hundred theorems and corollaries are formulated and proved thoroughly; numerous others stay unproved, for use via scholars as exercises. The writer makes liberal use of round inversion, the speculation of pole and polar, and lots of different sleek and robust geometrical instruments in the course of the e-book. specifically, the tactic of "directed angles" deals not just a strong approach to facts but in addition furnishes the shortest and so much based type of assertion for a number of universal theorems. This obtainable textual content calls for not more huge education than highschool geometry and trigonometry.
The 1st biography of Oscar Zariski - arguably one of many maximum mathematicians of the twentieth century. dependent principally on interviews with Zariski, his family members, and his colleagues, it contains pcs, has revolutionized algebraic geometry and ended in intriguing new functions within the box. This booklet info many makes use of of algebraic geometry and highlights contemporary | 677.169 | 1 |
MATHEMATICS
Time Allowed: Three Hours
(An extra ten minutes is allowed for reading this paper.)
INSTRUCTIONS
1.
Write all your answers in the Answer Book provided.
2.
Write your Index Number on the front page and inside the back flap of the Answer Book.
3.
If you need more paper, ask the supervisor for extra sheets. Tie these sheets inside the Answer Book at the appropriate places.
4.
You may use a calculator, provided it is silent, battery-operated and non-programmable.
5.
Unless otherwise stated, all rounding off should be corrected to two decimal places. Rounding off decimal answers should be done only at the final step.
6.
There are two sections in the paper. Both sections are compulsory.
7.
You are required to start each question in Section B of the Answer Book on a new page. Note: The required tables and formulae you will need during the examination are given on pages 20 to 25.
SUMMARY OF QUESTIONS
Section
Guidelines
Part I
There are twenty multiple-choice questions.
All questions are compulsory.
Total
Mark
20
A
72 mins
Part II
There are ten short-answer questions.
All questions are compulsory.
B
Suggested
Time
There are six long-answer questions.
All questions are compulsory.
20
60
COPYRIGHT: MINISTRY OF EDUCATION, FIJI, 2013.
108 minutes
2.
SECTION A
[40 marks]
There are two parts to this section. Answer both parts.
PART I
MULTIPLE – CHOICE QUESTIONS
(20 marks)
The multiple-choice questions in this part are all compulsory. Each question is worth 1 mark.
INSTRUCTIONS FOR MULTIPLE – CHOICE QUESTIONS
1. In your Answer Book, circle the letter which represents the best answer. If you change your mind, put a line through your first choice and circle the letter of your next choice. 8
For example:
A
B
C
D
2. If you change your mind again and like your first answer better, put a line through your second circle and tick (✓
✓) your first answer.
8
For example:
A
B
✓
C
D
3. No mark will be given if you circle more than one letter for a question.
...Level 1/Level 2 Certificate
Mathematics
Specification
Edexcel Level 1/Level 2 Certificate in Mathematics
(KMAO)
First examination June 2012
Edexcel, a Pearson company, is the UK's largest awarding body, offering academic
and vocational qualifications and testing to more than 25,000 schools, colleges,
employers and other places of learning in the UK and in over 100 countries
worldwide. Qualifications include GCSE, AS and A Level, NVQ and our BTEC suite of
vocational qualifications from entry level to BTEC Higher National Diplomas,
recognised by employers and higher education institutions worldwide.
We deliver 9.4 million exam scripts each year, with more than 90% of exam papers
marked onscreen annually. As part of Pearson, Edexcel continues to invest in
cutting-edge technology that has revolutionised the examinations and assessment
system. This includes the ability to provide detailed performance data to teachers
and students which help to raise attainment.
Acknowledgements
This specification has been produced by Edexcel on the basis of consultation with
teachers, examiners, consultants and other interested parties. Edexcel would like to
thank all those who contributed their time and expertise to its development.
References to third-party material made in this specification are made in good faith.
Edexcel does not endorse, approve or accept responsibility for the content of
materials, which may be subject to...mother of Europe's languages. India was the mother of our philosophy, of much of our mathematics, of the ideals embodied in Christianity... of self-government and democracy. In many ways, Mother India is the mother of us all."
- Will Durant, American Historian 1885-1981
Mathematics is an important field of study. Mathematics is essential as it helps in developing lots of realistic skills, in fact study of mathematics itself include the concepts related to the routine lives of human. It not only develops mathematical skills and concepts, it also helps in developing the attitudes, interest, and appreciation and provides opportunities to develop one's own thinking. So, mathematics is undoubtedly a discipline which is imperative to know and study. Figure 1 clearly specifies all the skills that are developed by the mathematics. Mathematics starts from simple things and linear thinking that lead towards the more complex things and higher order thinking skills. Mathematics has taken centuries to develop in its present form and that's why it will be really fruitful to know about its development.
Fig. 1, Importance of MathematicsC:\Users\naveen\Desktop\Untitled.png
Mathematics has played a very significant role in the progress and expansion of Indian culture for centuries. Mathematical ideas that originated in the Indian subcontinent have had a was247btc.com/bitcoins/134/how-i-would-manipulate-the-bitcoi...
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Maple 8 is dynamic software which offers a comprehensive environment for visualizing and exploring mathematical concepts and developing mathematical applications. Its problem-solving capabilities support a wide variety of mathematical operations such as numerical analysis, symbolic algebra, and graphics, including 3D smart plots. Commands are used to achieve a wide range of results - from performing basic arithmetic and algebra, to computations involving advanced topics such as tensor analysis, group theory, and more. Included are interactive mathematical visualization, a user interface with typeset mathematics, word processing facilities, and a modern programming language, making it a powerful and flexible tool for users in education, research and industry. One can also combine hundreds of free add-on packages and applications from their website, to enhance this flexible analytical tool. Execution groups and spreadsheets help the user interact with the Maple computational engine to carry out specific tasks and display the results. In execution groups, by placing the cursor on any command line and pressing Enter, all commands in that group are executed in sequence and the results (or output) are displayed at the end of the execution group. Spreadsheets can contain both numeric and symbolic information, and are used to generate tables of formulae. They combine Maple's math capabilities with the familiar row-and-column format of traditional spreadsheets. Key enhancements in the Maple 8 version include "Maplets," Scientific Constants, andDifferential Equations. The program has been a useful tool for teachers, researchers, scientists, engineers and students. | 677.169 | 1 |
Mathematics
Key Stage 3
Key Stage 3
The KS3 Mathematics course builds on the numeracy skills learned at primary and ensures all students understand the processes and can apply it to various problem solving questions. Students are introduced to algebra and taught to be systematic with their written responses. In addition, there will also be more in-depth lessons on statistics and understanding its uses.
The Mathematics department is passionate about their subject and look forward to sharing their expertise with the students through various engaging and enriching activities.
Our programme of study has been created to suit the students' mathematical abilities and has taken into account the changes to the GCSE course. Whilst the general headings do not change whether they are in Year 7 or Year 8, the students will learn new content that builds on the previous year. The most able students in Year 8, including those in the Excellence Academy, start a number of new topics that are met at GCSE. Please see below for further details.
Key Information:
Lessons per week
Year 7: 3 sessions
Year 8: 4 sessions
Year 7 and 8
Autumn 1
Number and Algebra
There is a big focus on ensuring basic numeracy skills are good and students have a sound knowledge of shapes and their properties. They are then introduced to statistics with particular focus on averages. More able students are then introduced to algebra and they learn to expand and simplify expressions.
to manipulate and solve problems involving algebra.
Autumn 2
Number and Shape
Students apply their numeracy skills to decimals, fractions and negatives. We consolidate angle knowledge and focus on transformations.
Spring 1
Number and Algebra
Students further their understanding of fractions and the link to percentages. Percentages are looked at in more detail and students practise applying it to real life problems. There is then a focus on graphs with the more able students extending to curved graphs.
Spring 2
Algebra and Shape
This half term, we focus on sequences: numerical and algebraic and students develop their understanding by working out the formula of certain sequences. Students then look at finding the surface areas and volumes of 3D shapes.
Summer 1
Algebra and Statistics
We ensure students are competent with all algebra met this year and extend prior knowledge. Everything on solving linear equations is also met.
Summer 2
Revision and Statistics
To ensure students are progressing and learning as they should, we recap many of this year's topics with particular focus on number and algebra work. There is a big focus on statistics and students will spend more time doing small projects where their statistics skills can be applied and results can be analysed.
Year 8 Most Able (Those entering Heath Park with Level 5/6)
Autumn 1
Number and Algebra
Students learn everything to do with powers and roots as well as how to use further algebraic notations. Students' knowledge on brackets is extended and applied in problem solving contexts. Everything on solving linear equations is also met. We look at angles in more depth at those in polygons.
Autumn 2
Shape and Statistics
This half term students learn about Pythagoras' theorem and apply it to real life problems. There is also an emphasis on box plots in statistics where students learn how to read them, draw them and analyse results by comparing them.
Spring 1
Shape and Algebra
We recap previously met shapes and work out the area and perimeter of them before extending to further shapes. Students discover what (pi) is and learn of its importance in working out the perimeter and area of shapes. Graph work is then also recapped and developed further in the algebra lessons.
Spring 2
Algebra and Shape
Students learn to solve simultaneous equations and apply the methods to solving real life problems. Various numeracy skills are applied in this topic. We also extend the work done on area and apply it to 3D shapes.
Summer 1
Statistics and Shape
Students learn to read and draw travel graphs and learn to apply physics formula to graphs. We take a look at other conversion graphs such as those converting £ to euros. We then look at a completely different way of describing movements with vectors.
Summer 2
Statistics and Algebra
Students look at how to collect data and the pros and cons of the different methods. We look at key terminology and different methods for sampling. Further algebraic work is met that will develop students' use of algebra to prove and justify statements.
Statistics
Statistics
Statistics (as a stand-alone subject) is offered as a GCSE option. Students follow the Edexcel GCSE Statistics syllabus.
An understanding of statistics is a valuable tool in life, in further studies, and in many jobs. Higher Education Institutions and employers recognise GCSE Statistics as a worthy qualification in its own right. In the current job market, medical researchers with a statistical background are particularly valued. The subject supports the study of many other related disciplines, such as Maths, Sciences and Humanities, at both GCSE and A Level.
All students in Key Stage 3 will study the Statistics foundation specification as part of their existing maths lessons. Not only will this build strong foundations for their Key Stage 4 study for an additional qualification, it will also support the students study of the Statistics content for the GCSE Maths syllabus. At the end of Year 9 students will complete their Controlled Assessment through the completion of a statistical investigation.
During Year 11 until 2016, students will study the Higher specification and complete their Controlled Assessment through the completion of a statistical investigation.
There is one piece of controlled assessment which counts for 25% of the final mark. This takes the form of a statistical project for which the use of ICT is encouraged
Year 10
In year 10 pupils will sit their exam
The exam lasts 2 hours and counts for 75% of the final mark
Year 7-8 Statistics
Autumn 1
This half term is focused on ensuring students cover the basics required for the Maths specification
Autumn 2
Students are introduced to statistics with particular focus on averages.
Spring 1
Students develop their understanding of types of data and the use of Index numbers.
Spring 2
Time Series are introduced here with Scatter Diagrams for the most able students.
Summer 1
Probability is a large focus during this half term.
Summer 2
Students will have the opportunity to complete a small scale statistical project that will prepare them for the controlled assessment that they will be expected to complete in year 9.
Key Stage 4 Year 11 Statistics
Key Information
Lessons per week: 3 sessions
Exam Board: Edexcel
Examination Details
In Year 11 all students will study the higher tier specification in which targets grades A* – D.
During this year they will be entered for an exam and complete their controlled assessment. There is one piece of controlled assessment which counts for 25% of the final mark. This takes the form of a statistical project for which the use of ICT is encouraged.
The exam lasts 2 hours and counts for 75% of the final mark.
Year 11 Statistics
Autumn 1
Students are introduced to the Higher specification focusing predominantly on topics required for the controlled assessment. For example, box plots, stem and leaf diagrams and standard deviation.
Autumn 2
Students will complete their controlled assessment this half term.
Spring 1
Lesson spent focussing on the normal distribution and proability.
Spring 2
A variety of topics will be covered in preparation for the final exam. For example, estimating the mean from frequency tables and drawing and interpreting histograms.
Summer 1
A variety of topics will be covered in preparation for the final exam. For example, using cumulative frequency graphs and drawing and comparing pie charts.
Key Stage 4
Key Stage 4
The Mathematics department is passionate about their subject and look forward to sharing their expertise with the students through various engaging and enriching activities.
The KS4 Mathematics course builds on the mathematical skills learned at KS3 and ensures all students understand the processes and can apply it to various problem solving questions. Students' knowledge is built upon stretching and challenging their understanding of topics such as algebra, shape, number and data handling.
Our programme of study has been created to suit the students' mathematical abilities and has taken into account the changes to the GCSE course. For example, certain elements of the Higher specification have been moved onto the foundation scheme and some A level content has been included in the higher scheme to encourage challenge for the most able students.
Key Information
Exam Board: Edexcel
Lessons per week: 3 sessions
Examination Details
Year 9
Edexcel GCSE Statistics controlled assessment
Year 11
Edexcel 1MA0 (2 examinations – 1 non calculator and 1 calculator)
Year 10
3 Exam papers to be completed at the end of year 11– Edexcel Code 1MA1 – All 1 hour and 30 mins. | 677.169 | 1 |
Most sections have archives withhundreds of problems solved by the tutors. To download the free app FX Algebra Solver by Euclidus Inc, get iTunes now Sequences and SeriesGeneral sequencesArithmetic Algebra Solver to Check Your HomeworkAlgebra Calculator is a free step-by-step calculator and algebra solver.
Visa and MasterCard security codes are located on the back of card and are typically a separate group of 3 digits to the right of the signature strip.American Express security codes are 4 digits located on the front of the card and usually towards the right. CVV. Algebra 2 helps us find the unknown values with the help of known values. In algebra 2, unknown numbers are frequently represented using letters. Algebra 2 includes real numbers, complex numbers, vectors, matrices and many other terms.
Algebra 2 is the study of the rules of relations and operations, and the constructions arising from them. Lessons and solvers Algebra 2 is the next level in unraveling the mysteries of balancing equations and calculating trigonometry ratios. While a sound base in Algebra 1 goes a long way in making things easier, like all things mathematical, the key to getting it right is practice.
The good news is that algebra 2 help is at the tip of your fingers. Free Algebra 2 Problem Solver Free algebra 2 solvers available online are a handy way to improve on your algebra skills. Online resources have the advantage of being quick, easily accessible and available 24x7. Algebra 2 problem solvers, are free to use and quick to calculate, giving you all the answers you need in a minute. | 677.169 | 1 |
Math Teachers Debate Powerful Calculators
November 04, 2003|By LISA BLACK Special to the Daily Press
CHICAGO — A hand-held calculator that can solve brain-numbing algebra equations within seconds has high school math teachers divided over whether it will make algebra more accessible or rob students of basic skills.
A calculator with Computer Algebra Systems, or CAS, which sells for about $150 and performs more than 250 algebraic functions, can spit out the answers to even the most difficult equations with the punch of a few keys.
The very idea troubles many higher-math teachers, who argue that students will not learn how to solve problems on their own, leaving them unprepared for college.
"This is just another excuse for letting people go forward without a conceptual understanding," said Wayne Bishop, a mathematics education professor at California State University who will not let his students use calculators.
Others say it's more important to learn the theory behind the problems than to perform the actual calculations.
"It gives lots of people new life in mathematics," said James Schultz, a math professor at Ohio University who helped organize an international conference on CAS last summer at Glenbrook South High School that drew 150 educators. "It lets them focus more on the problem-solving aspects rather than the tedious computations."
In Hampton Roads, York County School Division does not stipulate what calculators its students are permitted to use, said Kate Richmond, director of curriculum and academic services. Most high school students, Richmond said, use either the Texas Instruments TI-83 or the TI-89.
"Individual teachers and educators look at cases closely," Richmond said. "We see the calculator as a tool to assist students since they are able to use calculators for the SOL test. You'd like them to know how to use them with ease."
In the Newport News School District, students are allowed to use four-function and graphing calculators.
"We try to make sure students use calculators after they understand the math concepts being taught," said Michelle Morgan, a Newport News schools spokeswoman.
Teachers have used CAS calculators for more than a decade in Austria and other European countries with little criticism. But it's a different story in the United States.
Most high schools discourage CAS calculators, fearing students will not learn how to work algebra problems on their own.
Historically, math teachers have drilled students on the skills needed to solve problems, but the CAS calculator shifts the focus toward teaching them how to apply those skills to real-life problems, said Natalie Jakucyn, a Glenbrook South High School teacher who organized the CAS conference.
Students set up the problem by punching numbers, variables and algebra symbols into the calculator, and it performs the mathematical grunt work that can fill worksheets and blackboards. The device even shows them how it reaches its conclusion.
Math teachers at Glenbard West High School teach students the fundamentals with paper and pencil, as well as with the calculator. On tests, students are allowed to use the calculator on half the problems but must go without it on the other half.
Teachers also use the calculators in different ways. Some pose a problem through text -- asking students, for example, to calculate how much a car would depreciate in 10 years. Students also might be asked to view a series of problems on the calculator and identify a pattern or general rule.
Richard Askey, a retired math professor from the University of Wisconsin at Madison, said the growing acceptance of CAS in high schools reflects broader disagreement about how math should be taught.
Critics complain, for instance, about a new style of math instruction in elementary grades. Instead of rote memorization of math facts, pupils are encouraged to estimate answers or use calculators.
"This is madness," said Askey, who opposes letting students use the calculators. "They won't learn algebra. It will cut off careers in many fields."
The debate over CAS carries into the testing arena as well.
The college-entrance Scholastic Assessment Tests and calculus advanced placement tests allow students to use CAS calculators. The American College Test, a different type of exam that measures knowledge of content rather than reasoning skills, does not.
"College teachers are telling us it's important for students to come in able to do those algebraic equations," said Ed Colby, a spokesman for ACT, based in Iowa City, Iowa. "It's not as important for them to come in knowing how to use a calculator that can do that for them."
Daily Press reporter Michael Wamble contributed to this report.
Lisa Black is a reporter for the Chicago Tribune, a Tribune Publishing newspaper. | 677.169 | 1 |
Beginning Physics Undergrad MajorThis depends my friend. How willing are you to go the extra mile?Khan Academy for all things basic math. They have videos on trig/calc that I am using to supplement my school education.
This site (physicsforums) offers a free 1 year membership to educator.org which has plenty of lectures.
There is TONS of free information online, especially for math. It really depends on what kind of information you are looking for.
I'm also worried that since I'll have to take pre-requisites before gen-eds, I'll end up falling so far behind that I'll give up altogether.
I'm in this situation too. I'm 24 and going to a community college taking Trigonometry now (first I took algebra), and Trig + algebra won't even count towards my final credits, but you know what? I needed these classes. I am acing them at over 100% scores, but without these classes I would fall flat on my face in calculus.
I would suggest just taking the courses, yes they will be easy, but needed. And just understand - hey, it may take you a touch longer than other students to get the degree. Consider going in summer school and such.
For most of my life, I thought I was great at mathematics. It came very easily to me, until I took Abstract Algebra. It's interesting because I learned more about myself than Groups, Rings, and Fields that semester, but it has been extremely valuable to my studies and approach to life in general. It was a nice wake-up call, if you will, that humbled me into being okay with asking for help.
Hard work, Patience, and Humility!
Hard work: There is no shortcut, not that I think you're asking for one, to becoming proficient in mathematics (or many other fields, for that matter). Learning the "tricks" and/or methods will simply take time. Be patient with yourself and as long as you're diligent and careful, things will come together at some point and start to make more sense. For now, unfortunately, you're just going to have to take a lot of what you learn on faith; follow the rules and a lot of the "whys" will sort themselves out. When you feel the need to ask "why", try going over what you already know and coming up with an answer yourself, then go talk to a professor/grad student about it.
Patience: There will be many times you feel ill-prepared for the material, and sometimes even unable to make any progress at all. Relax, don't get down on yourself, and methodically go back and look for some "clue" in your textbook or lecture notes.
Humility: It will be a humbling experience. If you get stuck, you need to have someone you can go to for help; someone who won't spoon-feed you the answer or confuse you even more. Finding this person should be one of your first priorities! You will get stuck, and you'll need to ask for help even if you don't want it.
A balance between hard work and humility must be established. You don't want to spend hours upon hours on a problem that should only take 30 minutes before asking for help. However, you also want to allow yourself to struggle a bit with the concepts as it's a part of the learning process. If you're intentional with your study time, and take ownership of your education, you'll find what works for you. I wish you the best of luck! isThanks.
erbium-indium, believe it or not, I am in the exact same boat as you and I share your anxieties. Ive struggled with math and especially in the past two days, I have been really, really discouraged. I didn't pick up math for 5+ years so when I took my first semester of community college last fall (Im 23) I struggled with developmental math (radicals, quadratics, polynomials, etc not arithmetic). But that struggle paid off and two weeks ago I got permission to take the final exam of developmental mathematics and got a 97 on it so the struggle was worth it (and it will be for you too).
Im learning college algebra on my own right now to prepare to take it during summer and I know the what it feels like to feel inadequate and unprepared. Everything in college algebra has been a breeze but now Im learning zeros of polynomials and I am struggling really hard and that negative voice in my head tells me that Ill never be an engineer if I cant even get algebra but I try not to listen to it anymore. It pains me to read " I just fear that my best won't be good enough." because that is an insecurity that I profoundly feel every day. I hope you dont give up even if it seems daunting. I've learned that people on this forum are truly helpful and understanding, they can and do help guys like us.
As far as mechanics I feel the same way, Im not really worried about calculus but word problems in mechanics make me want to be an art major....I haven't taken that class yet either. As far as online resources go, I supplement learning out of the book with pauls online math notes and patrickJMT. As for Khan Academy, I really am not a big fan, he uses really, really easy examples which frustrates me although he is great at explaining ideas.
Anyway I just hope you know that you are not alone in your struggle, my predicament mirrors yours almost perfectly. I think hanging in there and struggling through it will be more worth it than not bothering to try at all. It will get better. Good luck!You're doing well though. Just keep taking math classes like trig, geometry, precalculus and the various calculus classes. You'll get there eventually.
I do warn against tutor sites like KhanAcademy. They are awesome secondary materials, but don't use them as a primary resource. You absolutely still need to go through a textbook and work most of the exercises (especially the tedious algebra exercises at this stage). You can always ask for help at a site like this. And please do ask as many questions as possible (granted you did think about it for more than 5 seconds).
Otherwise, Dembadon's post is spot-on. So read his post carefully and try to follow his advice.
and that negative voice in my head tells me that Ill never be an engineer if I cant even get algebra but I try not to listen to it anymore
Good! Don't listen to itYou see, many people think that being a good scientist or engineer is to be able to see math equations and understand it immediately. They think that they can't be a scientist if they don't grasp algebra immediately. This is a very flawed image. Everybody (except perhaps Von Neumann, but I don't count him as human) in their carreer hits walls sooner or later. For you, you have hit a wall now in algebra. For others it might take until grad school. But you'll hit a wall sooner or later. What makes a real scientist is that they have the passion and determination to run head first into the wall. They'll get injured, but still they run into the wall again and again. After a while, the wall crumbles down. Other people hit the wall and for some reason they give up. That's alright, nothing wrong with it. Maybe they're just not passionate about science, it doesn't make them dumb or anything. But those people will also never get to be scientists or engineers.
In a sense, I think it's a good thing to hit a wall early on. This will teach you good study habits and determination. I've seen quite a lot of people who hit a wall late in undergrad and grad school. These people were not used to this and they dropped out. They weren't dumb or anything, they just weren't used to math being challenging.
One thing you should learn is how to properly learn mathematics. Many people don't do this correctly. It's very easy in mathematics and science to make you think like you understand all the stuff, while you really don't. Of course, once you do exams, it will be a surprise to you that you didn't understand it all that well.
Basically, you should see math as a fight. You can't just read math texts like an ordinary text, you need to fight it tooth and nail:
- Why are they doing this step? Have they done this kind of thing before? Hmm... Maybe this trick is useful and I should remember it.
- Draw pictures, make graphs, make schemes, make mind maps!
- Do a lot of the problems (skip the easier ones if you know how to do those, there's no use in doing easy problems over and over again. Go straight for the harder ones if you're ready)
- Make up problems yourself and see if you can do themWell, before classical mechanics it's required that you take at least analytical geometry & calc 1 anyay. This, I'm really thankful for because a friend of mine is in engineering at a neighboring university and he's taking calc 1 and classical mechanics simultaneously. Utterly stupid, but he's pretty fluent in math I suppose, so it's not much of a problem for him.Thanks, its encouraging to hear, I wont give up! I do need to learn how to learn math more efficiently going forward, Ill work on this.
Omg. You sound like me!!! I think I just posted the same question! I've never been good at math (dyscalculia). Now I understand it better, and I enjoy it. I switched from bio to physics when brainwaves became my passion. I've always been an A student, 4.0 through trig. Now doing Calc 1 I'm terrified I might get a B. It sounds crazy, I know. But I feel like I should understand everything and get it perfect and if I don't I'll be a shitty physicist.
I'm taking Calc before any physics, and now I'm scared that I made a bad choice. Part of me I wants to go back to bio because it's linguistic and easy for me. I know I won't be satisfied so I will trudge onion physics. I can't provide insight or strength, only camaraderie. I'm right there with you! | 677.169 | 1 |
Differential Equations for Engineers
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This book presents a systematic and comprehensive introduction to ordinary differential equations for engineering students and practitioners. Mathematical concepts and various techniques are presented in a clear, logical, and concise manner. Various visual features are used to highlight focus areas. Complete illustrative diagrams are used to facilitate mathematical modeling of application problems. Readers are motivated by a focus on the relevance of differential equations through their applications in various engineering disciplines. Studies of various types of differential equations are determined by engineering applications. Theory and techniques for solving differential equations are then applied to solve practical engineering problems. Detailed step-by-step analysis is presented to model the engineering problems using differential equations from physical principles and to solve the differential equations using the easiest possible method. Such a detailed, step-by-step approach, especially when applied to practical engineering problems, helps the readers to develop problem-solving skills. This book is suitable for use not only as a textbook on ordinary differential equations for undergraduate students in an engineering program but also as a guide to self-study. It can also be used as a reference after students have completed learning the subject.
"It is warmly recommended as a core reading for a standard one-semester course on dierential equations for engineering students. The material in the book is very carefully organized, the presentation is transparent and rigorous, numerous illustrations, use of shades and mini-diagrams" in formulas help to follow the details better and to grab the ideas faster." - Yuri V. Rogovchenko, ZentralBlatt MATH | 677.169 | 1 |
This text on advanced calculus discusses such topics as number systems, the extreme value problem, continuous functions, differentiation, integration and infinite series. The reader will find the focus of attention shifted from the learning and applying of computational techniques to careful reasoning from hypothesis to conclusion. The book is intended both for a terminal course and as preparation for more advanced studies in mathematics, science, engineering and computation.
Originally published in 1962, this book covers all of the cornerstones of complex mathematical analyses. Chapters include, 'Bounds and limits of sequences', 'Integral calculus' and 'Functions of more than one variable'. Multiple examples are included at the end of every chapter to support and illustrate the fundamental concepts Part Finally, the authors supply a number of Appendices, among them Appendices on basic mathematical logic, more on set theory, the Peano axioms and mathematical induction, and on further discussions of the completeness of the real numbers. Remarkably, Volume I contains ca. 360 problems with complete, detailed solutions.
The first course in analysis which follows elementary calculus is a critical one for students who are seriously interested in mathematics. Traditional advanced calculus was precisely what its name indicates-a course with topics in calculus emphasizing problem solving rather than theory. As a result students were often given a misleading impression of what mathematics is all about; on the other hand the current approach, with its emphasis on theory, gives the student insight in the fundamentals of analysis. In A First Course in Real Analysis we present a theoretical basis of analysis which is suitable for students who have just completed a course in elementary calculus. Since the sixteen chapters contain more than enough analysis for a one year course, the instructor teaching a one or two quarter or a one semester junior level course should easily find those topics which he or she thinks students should have. The first Chapter, on the real number system, serves two purposes. Because most students entering this course have had no experience in devising proofs of theorems, it provides an opportunity to develop facility in theorem proving. Although the elementary processes of numbers are familiar to most students, greater understanding of these processes is acquired by those who work the problems in Chapter 1. As a second purpose, we provide, for those instructors who wish to give a comprehen sive course in analysis, a fairly complete treatment of the real number system including a section on mathematical induction.
This rigorous textbook is intended for a year-long analysis or advanced calculus course for advanced undergraduate or beginning graduate students. Starting with detailed, slow-paced proofs that allow students to acquire facility in reading and writing proofs, it clearly and concisely explains the basics of differentiation and integration of functions of one and several variables, and covers the theorems of Green, Gauss, and Stokes. Minimal prerequisites are assumed, and relevant linear algebra topics are reviewed right before they are needed, making the material accessible to students from diverse backgrounds. Abstract topics are preceded by concrete examples to facilitate understanding, for example, before introducing differential forms, the text examines low-dimensional examples. The meaning and importance of results are thoroughly discussed, and numerous exercises of varying difficulty give students ample opportunity to test and improve their knowledge of this difficult yet vital subject.
A course in the analysis of Chinese characters has been writing in one form or another for most of life. You can find so many inspiration from A course in the analysis of Chinese characters also informative, and entertaining. Click DOWNLOAD or Read Online button to get full A course in the analysis of Chinese characters book for free.
This classic text has entered and held the field as the standard book on the applications of analysis to the transcendental functions. The authors explain the methods of modern analysis in the first part of the book and then proceed to a detailed discussion of the transcendental function, unhampered by the necessity of continually proving new theorems for special applications. In this way the authors have succeeded in being rigorous without imposing on the reader the mass of detail that so often tends to make a rigorous demonstration tedious. Researchers and students will find this book as valuable as everThis book not only provides a lot of solid information about real analysis, it also answers those questions which students want to ask but cannot figure how to formulate. To read this book is to spend time with one of the modern masters in the subject. --Steven G. Krantz, Washington University, St. Louis One of the major assets of the book is Korner's very personal writing style. By keeping his own engagement with the material continually in view, he invites the reader to a similarly high level of involvement. And the witty and erudite asides that are sprinkled throughout the book are a real pleasure. --Gerald Folland, University of Washingtion, Seattle Many students acquire knowledge of a large number of theorems and methods of calculus without being able to say how they hang together. This book provides such students with the coherent account that they need. A Companion to Analysis explains the problems which must be resolved in order to obtain a rigorous development of the calculus and shows the student how those problems are dealt with. Starting with the real line, it moves on to finite dimensional spaces and then to metric spaces. Readers who work through this text will be ready for such courses as measure theory, functional analysis, complex analysis and differential geometry. Moreover, they will be well on the road which leads from mathematics student to mathematician. Able and hard working students can use this book for independent study, or it can be used as the basis for an advanced undergraduate or elementary graduate course. An appendix contains a large number of accessible but non-routine problems to improve knowledge and technique.
Among the traditional purposes of such an introductory course is the training of a student in the conventions of pure mathematics: acquiring a feeling for what is considered a proof, and supplying literate written arguments to support mathematical propositions. To this extent, more than one proof is included for a theorem - where this is considered beneficial - so as to stimulate the students' reasoning for alternate approaches and ideas. The second half of this book, and consequently the second semester, covers differentiation and integration, as well as the connection between these concepts, as displayed in the general theorem of Stokes. Also included are some beautiful applications of this theory, such as Brouwer's fixed point theorem, and the Dirichlet principle for harmonic functions. Throughout, reference is made to earlier sections, so as to reinforce the main ideas by repetition. Unique in its applications to some topics not usually covered at this level.
This book is an introductory text on real analysis for undergraduate students. The prerequisite for this book is a solid background in freshman calculus in one variable. The intended audience of this book includes undergraduate mathematics majors and students from other disciplines who use real analysis. Since this book is aimed at students who do not have much prior experience with proofs, the pace is slower in earlier chapters than in later chapters. There are hundreds of exercises, and hints for some of them are included.
" instructors. Volume I focuses on the analysis of real-valued functions of a real variable. Besides developing the basic theoryit describes many applications, including a chapter on Fourier series. It also includes a Prologue in which the author introduces the axioms of set theory and uses them to construct the real number system. Volume II goes on to consider metric and topological spaces, and functions of several variables. Volume III covers complex analysis and the theory of measure and integration"--
This book provides a self-contained and rigorous introduction to calculus of functions of one variable, in a presentation which emphasizes the structural development of calculus. Throughout, the authors highlight the fact that calculus provides a firm foundation to concepts and results that are generally encountered in high school and accepted on faith; for example, the classical result that the ratio of circumference to diameter is the same for all circles. A number of topics are treated here in considerable detail that may be inadequately covered in calculus courses and glossed over in real analysis coursesPartFinally, the authors supply a number of Appendices, among them Appendices on basic mathematical logic, more on set theory, the Peano axioms and mathematical induction, and on further discussions of the completeness of the real numbers.Remarkably, Volume I contains ca. 360 problems with complete, detailed solutions.
teachers. Volume 1 focuses on the analysis of real-valued functions of a real variable. This second volume goes on to consider metric and topological spaces. Topics such as completeness, compactness and connectedness are developed, with emphasis on their applications to analysis. This leads to the theory of functions of several variables. Differential manifolds in Euclidean space are introduced in a final chapter, which includes an account of Lagrange multipliers and a detailed proof of the divergence theorem. Volume 3 covers complex analysis and the theory of measure and integration.
A Course of Mathematical Analysis has been writing in one form or another for most of life. You can find so many inspiration from A Course of Mathematical Analysis also informative, and entertaining. Click DOWNLOAD or Read Online button to get full A Course of Mathematical Analysis book for free. | 677.169 | 1 |
Precalculus 12 Function Transformations
Specific Curriculum Outcomes
RF02Demonstrate an understanding of the effects ofhorizontal and vertical translations on the graphs of functions and their related equations. RF03Demonstrate an understanding of the effects of horizontal and vertical stretches on the graphs of functions and their related equations. RF04Apply translations and stretches to the graphs and equations of functions. RF05Demonstrate an understanding of the effects of reflections on the graphs of functions and their related equations, including reflections in the: x-axis, y-axis, and the line y = x. RF06Demonstrate an understanding of inverses of relations.
activities
Function Transformation Card Matching Activity - A set of cards with equations, graphs and descriptions. Students worked alone or with a partner (their choice) to match the appropriate description, equation, and graph cards together into 16 sets of three. | 677.169 | 1 |
ISBN 13: 9781602773905
Saxon Teacher for Math 8/7, 3rd Edition
Covers the content from the Math 8/7 Homeschool Kit, including instruction for every part of every lesson, as well as complete solutions for every example problem, practice problem, problem set, and test problem. Videos for each investigation are included as well. The user-friendly CD format offers students helpful navigation tools within a customized player and is compatible with both Windows and Mac. | 677.169 | 1 |
Maths and science FE gives cause for concern;FE Focus
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Many science, computing and mathematics students in further education have worryingly low levels of numeracy, rely on calculators to carry out simple sums and find basic mental arithmetic beyond them, according to a report from the Further Education Funding Council.
"At GCSE level, for example, they cannot manipulate algebraic expressions or solve equations with confidence," the report says. "They are too dependent on calculators to carry out the simplest of calculations. Many cannot simplify straightforward fractions for themselves and end up working with recurring decimals instead."
The report into the sciences, which includes computing and maths and is the third largest curriculum area in FE, was based on college inspectors' observations of more than 12,000 teaching sessions between 1993 and 1997.
Overall, the quality of teaching and learning was comparable with other subject areas with many examples of well-planned courses and lively, innovative teaching. But it found "a substantial though smaller volume of less imaginative teaching which barely addresses students' needs.
In spite of much good teaching, the report identifies "significant weaknesses" where teachers talked for too long, failed to involve students in discussion and wasted lesson time by making them copy out notes. The best teachers held question-and-answer sessions to ensure students' understanding of theories, gave handouts of overhead transparencies, and made good use of teaching aids such as video.
In general, practical assignments and real life examples engaged students' attention and won higher inspection grades than theoretical classes, which also tended to discriminate against less able students.
Science staff should spend more time on developing effective teaching methods and sharing good practice. "There are few opportunities in most colleges for science, mathematics and computing staff teaching in vocational areas to come together to share ideas and teaching materials," the report notes.
The report also criticises the use of IT in mathematics lessons - fewer than 20 per cent of colleges inspected in 1996-7 used computers to promote learning in mathematics. "There are not enough computer workstations in most of the classrooms where mathematics is taught."
Poor guidance from the college is partly to blame for the high drop-out rate from GCSE mathematics courses, particularly among adults, who should be directed onto more suitable programmes. "They become disheartened by the pace and difficulty of the course and often leave before the end | 677.169 | 1 |
Math 11-14. Calculus Practice Problems. Here are more Calculus problems to play with. You should not construe the inclusion of any of these problems (or Here are sample exams problems from first year calculus, in tex format, sorted by problem area. Feel free to modify these and use them for your own exams. Many of you are planning on taking the Calculus AB advanced placement exam. These are example problems taken directly from previous years' exams. Even if
Features topic summaries with practice exercises for derivative and integral calculus. Includes solutions. Authored by D. A. Kouba.?Limits of a function -?Chain Rule -?Limits to Infinity -?Product RulePractice Problems - Pauls Online Notes : Calculus Itutorial.math.lamar.edu/problems/calci/calci.aspxCachedSimilarCalculus I - Practice Problems, Review Here is a list of sections for which problems have been written. Review · Review : Functions · Review : Inverse?Review : Functions -?The Definition of the Derivative -?Indefinite Integrals -?The LimitCalculus - Example Problems book is a hundred years old and is considered the classic calculus book. For the following problems, find the derivative using the definition of the CLEP for Institutions. CLEP Exams > Calculus > Sample Questions The following sample questions do not appear on an actual CLEP examination. They are Each free Calculus I Practice Test contains a dozen Calculus I problems and multiple-choice answers. You receive detailed results after completing each one,Calculus Handouts, Supplementary Materials. Videos. Problems Solutions. Sample Tests. Section 1.1. Functions and their Representations · Videos · Problems. | 677.169 | 1 |
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Mathematics has been a subject which has not been liked by many students because of different formulae. One can say that 60% of the students run away from studying Math, while there is the other 40% who really love Mathematics as a subject. We have seen that 'Vector' isone of the topics that are studied in Mathematics. Sometimes it can be really hard to finish theassignment which you receive and that's why we are here to help you out. Our mathematical introduction and vectors homework help will lead you to acquire good grades in exams
Vectors: Defined
The Vector is said to be the object that has both:
Magnitude
Direction
It is said that two vectors are same. This happens when the magnitude and the direction are the same. Check the examples below to understand it in a better way:
Force (Magnitude would determine the strength)
Velocity (Magnitude would determine the speed)
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Vectors in Detail
Vectors are used to define the numbers – especially in geometry. This is where the calculation comes in. Vectors can be multiplied through:
The Dot Product
The Cross Product
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Fair. TEACHER'S EDITION. An ACCEPTABLE teacher's text with clean pages and moderate cover wear with some scuffing on the lower edges of the cover and on the front hingeCustomer Reviews
Better than most books on the subject
This text is excellent. Easy to read, Geometry, by Ray C. Jurgensen far surpasses the content found in many of today's Geometry textbooks. Each chapter begins with a visual, tied into the subject of the text itself. Exercises are simple, yet effective in teaching the material in print form to readers .Each chapter contains an algebra review, which is a skill that is lacking in most high school geometry students. Each chapter also contains a challenge questions, along with application questions.
I firmly believe that schools and teachers should buy up these texts and use them as supplementary material for Geometry classes in high school. For the money, you cannot find a better book. I would wager, as well, that the books authored by the co-writers, Richard G. Brown, and John W. Jurgensen, would be worth investigating. Good writers flock together, and a well written math textbook is worth its weight in gold | 677.169 | 1 |
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Summary
This edition has evolved to address the needs of today's student. While maintaining its unique table of contents and functions-based approach, the text now includes additional components to build skill, address critical thinking, solve applications, and apply technology to support traditional algebraic solutions. It continues to incorporate an open design, helpful features, careful explanations of topics, and a comprehensive package of supplements and study aids to provide new and relevant opportunities for learning and teaching.
Table of Contents
Preface
p. xii
Linear Functions, Equations, and Inequalities
p. 1
Real Numbers and the Rectangular Coordinate System
p. 2
Sets of Real Numbers
The Rectangular Coordinate System
Viewing Windows
Roots
Distance and Midpoint Formulas
Introduction to Relations and Functions
p. 12
Set-Builder Notation and Interval Notation
Relations, Domain, and Range
Functions
Tables
Function Notation
Reviewing Basic Concepts (Sections 1.1 and 1.2)
p. 22
Linear Functions
p. 23
Basic Concepts about Linear Functions
Slope of a Line
Slope-Intercept Form of the Equation of a Line
Equations of Lines and Linear Models
p. 36
Point-Slope Form of the Equation of a Line
Standard Form of the Equation of a Line
Parallel and Perpendicular Lines
Linear Models and Regression
Reviewing Basic Concepts (Sections 1.3 and 1.4)
p. 50
Linear Equations and Inequalities
p. 51
Solving Linear Equations
Graphical Approaches to Solving Linear Equations
Identities and Contradictions
Solving Linear Inequalities
Graphical Approaches to Solving Linear Inequalities
Three-Part Inequalities
Applications of Linear Functions
p. 66
Problem-Solving Strategies
Applications of Linear Equations
Break-Even Analysis
Direct Variation
Formulas
Reviewing Basic Concepts (Sections 1.5 and 1.6)
p. 78
Chapter 1 Summary
p. 79
Chapter 1 Review Exercises
p. 82
Chapter 1 Test
p. 87
Chapter 1 Project Predicting Heights and Weights of Athletes
p. 88
Analysis of Graphs of Functions
p. 89
Graphs of Basic Functions and Relations; Symmetry
p. 90
Continuity
Increasing and Decreasing Functions
The Identity Function
The Squaring Function and Symmetry with Respect to the y-Axis
The Cubing Function and Symmetry with Respect to the Origin
The Square Root and Cube Root Functions
The Absolute Value Function
The Relation x = y[superscript 2] and Symmetry with Respect to the x-Axis | 677.169 | 1 |
Today we are going to use the quadratic formula to factor second degree polynomials. Sometimes, when you are using ruffini, you factor until you get a second degree polynomial. If this polynomial doesn't have integer roots, you are not going to find them, but using the famous formula for second degree equations, you can get to them.
1. Use Symbolab to correct the exercises from yesterday. Call me if something doesn't match.
2. Now try to factor these polynomials. In some of them you are going to need this method. Do it in your notebook, and use Symbolab to check your answers.
1. Send me an email telling me the origin of "logarithms" and some uses of them in real life.
2. Now we are going to use geogebra to create some models about the typical situations related to exponential grown and decay. Pay attention and send me the geogebra files you are going to make: one for compound interest and another for depreciation.
1. Try to find out in the internet the name of the man who proved the existence of irrational numbers. Send me an email with this story. Use the email that you are going to use for all the year. You will have to send me lots of work in the following months.
1. Open this worksheet, read it (is about converting decimals into fractions) and solve the exercises in your notebook. Check the answers with the calculator.
We are going to practice a little about our statistics project. I'm giving you two examples of situations with two variables, and the goal is to use them the same way you are going to treat your data. For each example you should send me a Word document, or Powerpoint, but with the same structure as the final project. At the very least it should have:
1. Frontpage with your names and the title of the project
2. Introduction (in another page). Explaining the goal of the project, what you want to know, how you got the data, etc. | 677.169 | 1 |
Elementary Linear Algebra with Applications: Pearson New International Edition
This book presents the basic ideas of linear algebra in a manner that users will find understandable. It offers a fine balance between abstraction/theory and computational skills, and gives readers an excellent opportunity to learn how to handle abstract concepts. Included in this comprehensive and easy-to-follow manual are these topics: linear equations and matrices; solving linear systems; real vector spaces; inner product spaces; linear transformations and matrices; determinants; eigenvalues and eigenvectors; differential equations; and MATLAB for linear algebra. Because this book gives real applications for linear algebraic basic ideas and computational techniques, it is useful as a reference work for mathematicians and those in field of computer science. | 677.169 | 1 |
Hardcover - Rent for
Temporarily Out of Stock Online
Overview
An Introduction To Homological Algebra / Edition 1Product Details
Read an ExcerptFirst ChapterTable of ContentsReading Group GuideInterviewsRecipeThis book introduces the basic notions of abstract algebra to sophomores and perhaps even junior
mathematics majors who have a relatively weak background with conceptual courses. It introduces the material with many concrete examples and establishes a firm foundation for ...
This new edition, now in two parts, has been significantly reorganized and many sections have
been rewritten. This first part, designed for a first year of graduate algebra, consists of two courses: Galois theory and Module theory. Topics covered in ...
The landscape of homological algebra has evolved over the past half-century into a fundamental tool
for the working mathematician. This book provides a unified account of homological algebra as it exists today. The historical connection with topology, regular local rings,This text introduces readers to the algebraic concepts of group and rings, providing a comprehensive
discussion of theory as well as a significant number of applications for each. Number Theory: Induction; Binomial Coefficients; Greatest Common Divisors; The Fundamental Theorem ofThis traditional treatment of abstract algebra is designed for the particular needs of the mathematics
teacher. Readers must have access to a Computer Algebra System (C. A. S.) such as Maple, or at minimum a calculator such as the TI ...
Developed to meet the needs of modern students, this Second Edition of the classic algebra
text by Peter Cameron covers all the abstract algebra an undergraduate student is likely to need. Starting with an introductory overview of numbers, sets and ... | 677.169 | 1 |
I am going to college now. As math has always been my problem area , I purchased the course books in advance. I am plan studying a couple of chapters before the classes start. Any kind of help would be highly appreciated that could aid me to start studying why use the substitution method of solving myself.
Can you please be more detailed as to what sort of guidance you are expecting to get. Do you want to get the fundamentals and solve your math questions on your own or do you want a instrument that would offer you a line by line solution for your math problems?
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factoring polynomials, angle complements and graphing inequalities were a nightmare for me until I found Algebrator, which is truly the best algebra program that I have come across. I have used it frequently through several math classes – Algebra 2, Basic Math and Intermediate algebra. Just typing in the algebra problem and clicking on Solve, Algebrator generates step-by-step solution to the problem, and my algebra homework would be ready. I highly recommend the program. | 677.169 | 1 |
My Riverside Rapid Digital Portfolio
Day: December 4, 2017
Function Notation This week in math 10 I learned about function notation. Function Notation: Using inputs and outputs with its name function notation is another way of giving an equation. When the name (which is usually represented by a letter is upfront) is directly followed by… | 677.169 | 1 |
Cambridge Preliminary General Mathematics
Synopsis
Cambridge Preliminary General Mathematics by Greg Powers
Cambridge Preliminary General Mathematics is an all-new textbook and student CD-ROM for the NSW Stage 6 Preliminary syllabus. The Preliminary course topics are introduced in a logical sequence, divided into manageable sections that make sense to both students and teachers. Designed to cater for students with a wide range of ability, this full-colour student-friendly text provides a solid foundation for the HSC for every student. A student CD-ROM is included with the text with an electronic version of the book and interactive spreadsheet activities. Teacher support material is also available on the Cambridge Preliminary General Mathematics Teacher CD-ROM and through our Technology in Maths Website which hosts interactive examples, activities for a variety of calculators, and maths programs: | 677.169 | 1 |
MalMath: Step by stepMalMath is a math problem solver with step by step description and graph view. It's free and works offline. Solve: • Integrals • Derivatives • Limits • Trigonometry • Logarithms • Equations • Algebra It helps students to understand the solving process and others who have problems on their homework. It is helpful for high school and college students, teachers and parents. Key MalMath features: • Step by step description with detailed explanation for each step. • Easier to understand steps using highlights. • Graph analysis. • Generates math problems with several categories and difficulty levels. • Save or share solutions and graphs.
Currently available languages: English, German, Spanish, Italian, French, Turkish, Albanian, Croatian, Arabic, Portuguese, Azerbaijani, Russian, Japanese. You can find more about it at
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Bridges 2010 Short Paper
Abstract
The aim of this paper is to present how elementary real functions
can be used to produce some artistic works and how this can be an
efficient method for teaching functions, namely for making students
discover and understand, in a recreational way, many facts concerning
functions and their graphs. | 677.169 | 1 |
Announcements
Foundations - We will finish solving absolute value and literal equations. Afterwards, we will start a new unit on ratios, rates and proportions. You will have two quizzes on this information before the break.
Algebra 1 - We will be factoring polynomials completely using all methods. You will have a quiz on factoring on 12/13. We will also solve quadratic equations using the zero product property.
Geometry - We will begin using congruence statements to determine if triangles are congruent. You will have a quiz on this information before the break. | 677.169 | 1 |
1. Prerequisites *
At the start of this course the student should have acquired the following competences: an active knowledge of
Dutch
a passive knowledge of
English
specific prerequisites for this course
Students should possess a good knowledge of calculus. This includes fluency in functions, differentiation, integration, taking limits, operating with sequences, vectors and matrices, complex numbers, polar coordinates, equations of lines and surfaces.
2. Learning outcomes *
The student must have theoretical and practical knowledge about the different methods.
The student must be able to stipulate the differences between these methods.
The student is able to recognize a numerical problem and select the proper method that should be used.
The student can justify the chosen method based on the studied properties of each method.
The student must be able to correctly interpret the numerical results.
3. Course contents *
Different numerical techniques are treated for a selection of the following topics:
Splines
B-splines and Bézier curves
System of linear equations
Stability and conditioning
Least-squares problems
Orthogonal polynomials
Overdetermined linear systems
Gaussian quadrature
Eigenvalues and singular values
Numerical polynomial factorisation
Polynomial evaluation
While studying these techniques, we will look at the influence of the underlying computer arithmetic and the essential aspects of conditioning and stabilityAssignments Individually
Project
Individually
6. Assessment method and criteria
Examination
Written examination without oral presentation
Closed book
Written assignment
Without oral presentation
7. Study material *
7.1 Required reading
Personal notes.
Scripts and illustrations accompanying the theoretical sessions.
The required course material is available on the course webpage: | 677.169 | 1 |
book is designed to serve a variety of needs and interests for teachers students parents and tutors. The contents of this book are based upon both state and national standards. - Teachers can use this book for review and remediation. - Students will find the content to be concise and focused on the major concepts of the discipline. - Parents can use this book to help their children with topics that may be posing a problem in the classroom. - Tutors can use the material as a basis for their lessons and for assigning problems and questions | 677.169 | 1 |
Math homework help geometric sequences
These solutions are intended to be used as reference purpose only.The patter is that we are always multiplying the previous term by 5.Not every sequence has pattern in multiplication is geometric, it is considered as geometric sequence only if it is been multiplied by the same number each and every time.Home Services Assignment Help Custom Essay Help Research Paper Help Dissertation Help Case study Course Work Help Homework Help Online Tutoring Book Report Term Paper Proofreading Power Point Presentation Resume Writing Cover Letter CV Writing Movie Review Online Quiz Writing Help Samples Solution Library.
Algebra II - Sequences and Series: Homework Help 1. Algebra II - Sequences and Series: Homework Help. Status:.When dealing with sequences in math, both algebraic and geometric,.Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question.I can understand things pretty well, but please be patient with me.
Geometric Series and Sequences Tutorials, Quizzes, and
Problem: Write the next term of the sequence, and write the rule for the nth term. 5,25,125,625,. 4,10,16,22,.
Geometric Series Calculator - MathScoop - Welcome to Math
Support your workforce and their families with a unique employee benefit.Engage your community with learning and career services for patrons of all ages.The official provider of online tutoring and homework help to the Department of Defense.This video includes sample exercises and step-by-step explanations of binomial expansions and the sum of a geometric series for the California Standards Test.
Algebra Homework Help, Algebra Solvers, Free Math Tutors
Sequences and Series math help videos for. on homework by watching a math video from your. ranging from algebra and geometry to calculus and college math.
In Exercises, you will develop geometric sequences that
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Geometry Homework Help - Math.com
Algebra II Lesson 11.3 "Geometric Sequences" Tutorial
Definition of geometric sequences and series and related terms and concepts. In a geometric sequence,.And from the observation we can see that the common ration is going to be 3.
Mathematical Sequences | Free Homework Help
To identify geometric sequences To write recursive and explicit rules for geometric sequences.
Geometric Progression Question | 24HourAnswers
This bundle includes two worksheets and two homework worksheets for arithmetic and geometric sequences. Math Classroom, Homework, and. will help you not.
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MATHS HOMEWORK HELP. we promise to give you the best result.The math homework help destination for the students studying mathematics.Hawaii Math Common Core. Adult. Sequences and Series Homework -- Homework: Arithmetic and Geometric Sequences.
Math 115 Spring 2011 Written Homework 6 Solutions
In a geometric progression, the first term is a and the common ratio is r.
HomeworkMarket.com does not claim copyright on questions and answers posted on the site.
Please help with maths homework- arithmetic and geometric
Transtutors is the best place to get answers to all your doubts regarding the relationship between arithmetic mean, geometric mean and harmonic mean, weighted means.
[College Math] Geometric sequences : learnmath - reddit
Email me at this address if my answer is selected or commented on: Email me if my answer is selected or commented on. | 677.169 | 1 |
Most effective math challenge solver That will Cause you to a much better University student
In a few programs, all it will take to move an examination is take note taking, memorization, and remember. Nevertheless, exceeding within a math course can take a different variety of work. You cannot simply just show up for any lecture and enjoy your instructor "talk" about math and . You master it by doing: being attentive in school, actively researching, and solving math complications – even when your teacher has not assigned you any. Should you end up having difficulties to accomplish very well as part of your math class, then check out best internet site for solving math complications to find out how you can become an even better math pupil.
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If you would like to lessen your in-class workload or maybe the time you devote on homework, use your free time just after university or around the weekends to go through forward to the chapters and concepts that can be included the following time that you are in class.
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This entry was posted on Saturday, September 10th, 2016 at 12:08 am and is filed under Uncategorized. You can follow any responses to this entry through the RSS 2.0 feed.
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Eureka Math is based on the theory that mathematical knowledge is conveyed most clearly and effectively when it is taught in a sequence that follows the "story" of mathematics itself. In A Story of Functions, our high school curriculum, this sequencing has been joined with methods of instruction that have been proven to work, in this nation and abroad. These methods drive student understanding beyond process to deep mastery of mathematical concepts. The goal of Eureka Math is to produce students who are not merely literate, but fluent, in mathematics.
This teacher edition is a companion to Eureka Math online and EngageNY.
Common Core ( is a non-profit organization formed in 2007 to advocate for a content-rich liberal arts education in America's K-12 schools. To improve education in America, Common Core creates curriculum materials and also promotes programs, policies, and initiatives at the local, state, and federal levels that provide students with challenging, rigorous instruction in the full range of liberal arts and sciences. Common Core is not affiliated with the Common Core State Standards Initiative. | 677.169 | 1 |
06, 2011
We hear that students are abandoning science and engineering studies in droves, not least of all because it turns out that those subjects are hard and graded rather strictly. Perhaps I can help alleviate the pain with the current version of my twenty minute calculus.
{Best presented with the help of a blackboard}
If you have opened your calculus book, you may have noticed that it consists of about 1700 pages of closely spaced text, diagrams, formulas, and equations. Perhaps that experience has already convinced some of you to change your major to psychology or art history.
For those of you who plan to leave, then, as well as those of you who plan to stay, I would like to start this lecture by mentioning that there are only a few key ideas in calculus, and those are handy to know even if you do plan to major in psychology or art history. Depending on your point of view, those ideas are one, two, or three in number. I should add that none of those ideas will be exactly new to you.
Let's start with the one idea, since it's intimately involved with the other two. That idea is the idea of the limit. A function, we recall, is a kind of a rule which presented with one number gives us another. An example might be the square of x, that is, given one number, its square of that number is the number times itself. Two squared is four. Three squared is nine. And so on.
Consider a function that's slightly harder to describe: the sum for all the non-negative integers from 0 to n of the fractions 1/(2^n). Remembering that any non-zero number to the zero power is one, we see that f(0) = 1, f(1) = 1+1/(2^1) = 1 + ½ = 3/2, f(2) = 1 + ½ + ¼ = 7/4, f(3) = 1 + ½ + ¼ + 1/8 = 15/8. If you know or suspect that these numbers get closer and closer to 2 as n gets larger and larger you are perfectly correct. In fact we can write this as Limit[f(n),n--> Infinity] = 2. This idea of limit turns out to be particularly useful, especially since it's an enabling technology for the next two ideas.
The second important idea of the calculus is the idea of rate of change. We use this one all the time in everyday life – the speed of our car is the rate of change of its position, for example. If we aren't accelerating or decelerating, speed is sort of easy to calculate – we can just measure the distance we travel in a certain amount of time and divide distance by time. If our speed is changing, though, how do we do it? Well, we look at the same relation: distance travelled/elapsed time and apply our idea of limit.
Limit[distance f/time t, time -> 0] = df/dt. That funny looking ratio we wrote for the limit df/dt is called the derivative of distance with respect to time, and that's defined to be the instantaneous speed. Some of you may realize that distance has to be a smooth function of time for that to work – there can't be any instantaneous jumps in position, but those don't seem to happen in the real world.
Rate of change, or derivative, can be applied to many things outside of travel, of course, which is why derivative is such an important concept. If you can take the derivative of a function at every point you get a new function, the derivative of the first function. There is an interesting way to reverse this process by starting with a function that is the derivative of the original function. Remember that the derivative function at each point is the rate of change of the original function at that point.
Let's apply that to the speed. Suppose you had been driving along a long strait road, and knew what your speed was at every point in time (because you have one of those recording speedometers, say) but had no idea of how far you had gone.
How can you turn the previous process around and figure out how far you had gone at each time? How about trying this: break up your speedometer record into, say, five minute increments. Pick, say, the average of the fastest and slowest speed values in each increment, and multiply by five minutes. If your speed isn't changing too rapidly, that product should approximate the distance travelled in the five minute intervals. If you add up the values for each interval up to a given point, that approximates the total distance travelled to that point. Suppose we now make those intervals shorter and shorter. In the limit where the length of the intervals goes to zero, the value of the sum at each point is the integral (we write Integral[speed=df/dt {t=0 to t}] = f(t)) of the speed function at that time, aka the net distance travelled to that time.
The fact that this process of integration is in some sense opposite to differentiation is summarized in the Fundamental Theorem of Calculus: Integral [df/dx,{x=x0 to x1}] = f[x1]-f[x0].
We can do the adding up even for functions that we don't recognize as being the derivative of some other function. Suppose, for example, we have just about any somewhat smooth function f(x). We can break it up into pieces and multiply values for each piece by the length of that piece, and add up all the products from 0 to some value x. Then if F(x) is the integral from 0 to x of f(x) (AKA, the antiderivative of f), its derivative dF/dx = f(x).
Well, that's all three of the key ideas (limit, derivative, integral) of calculus. The rest of the stuff in the book is details, technology, and applications, all of which are pretty important, but these three were just the key ideas. We got the derivative, remember, by taking the ordinary idea of rate of change and looking at the limit as the amount of time got very short. Similarly, we got the integral by looking at adding up values on pieces of a function in the limit where the pieces got very short.
I hope you have questions, because otherwise this is a really short lecture.
Corrections not involving epsilons, deltas, or inverse maps of open sets are welcome. | 677.169 | 1 |
Midterm for Math 151A
The midterm will essentially cover all the material covered in class until Feb. 7. This is chapter 1 (Sec. 1.2),
chapter 2 (Secs. 2.1 - 2.4), and chapter 3 (most of sec 3.1), of the textbook.
In general, you should be able to do problems that are similar to the theory problems in the homeworks. In general,
you will not have to remember theorems (or the proofs), but certain results/implications of theorems (see below).
You might be asked to derive or proof a certain expression, but in that case I will give sufficient hints.
The midterm as well as the final will be with closed books and notes! You can (and might want to) use a calculator.
This page was last updated Feb. 2
Here is a list of things you should know for the midterm (and also for the final)
Bisectional Method: What is it ? How do we use it (algorithm) ? Error estimate (absolute vs. relative tolerance)!
Fixed Point Method: What is it ? How do we use it (algorithm) ?
Newton's Method: What is it ? How do we use it (algorithm) ? Graphic interpretation ? Relation to (derivation
from) Taylor expansion.
Secant Method: What is it ? How do we use it (algorithm) ? Relation to Newton's Method ?
Rate or Order of Convergence.
How are numbers represented in binary format (i.e., what is the sign, exponent, mantissa) ? | 677.169 | 1 |
This edition features the exact same content as the traditional book in a convenient, three-hole- punched, loose-leaf version. Books a la Carte also offer a great value—this format costs significantly less than a new textbook.
In a Liberal Arts Math course, a common question students ask is, "Why do I have to know this?" A Survey of Mathematics with Applications continues to be a best-seller because it shows students how we use mathematics in our daily lives and whythis is important. The Ninth Edition further emphasizes this with the addition of new "Why This Is Important" sections throughout the book. Real-life and up-to-date examples motivate the topics throughout, and a wide range of exercises help students to develop their problem-solving and critical thinking skills.
Angel, Abbott, and Runde present the material in a way that is clear and accessible to non-math majors. The book includes a wide variety of math topics, with contents that are flexible for use in any one- or two-semester Liberal Arts Math course.
Note: this ISBN is just the Books a la Carte edition, if you want the Books a la Carte editon and access card order the ISBN below;
Christine Abbott is a partner in the Centre for Action Learning Facilitation (C-ALF) with extensive international experience of facilitating action learning in both public and private sectors. Christine writes about, and researches, action learning practice and holds a number of academic posts including the Open University. Through C-ALF she leads the Skills for Care Action Learning Facilitation programme. Christine is a Board Member and Trustee of the ILM and was instrumental in writing the qualification standards for action learning facilitation. | 677.169 | 1 |
General Information
General Information
Graduation Requirement: 3 credits taken in high school
Placement for freshmen: Freshmen are placed in Algebra 1 or Accelerated Alegbra 1 based on their score on the STS test or another standardized test which gives a national percentile. If a student has taken Algebra 1 in grade school they may take a placement test at the end of the school year to determine if they have learned the essential Algebra concepts so they may be placed into Accelerated Geometry or Geometry for their freshman year. Similarly for students who have taken Algebra 1 and Geometry in grade school.
Mathematics education requires students to think critically as they relate mathematics to real life situations.The focus of mathematics involves the development of logical reasoning skills in problem solving situations and the ability to communicate one's understanding.The use of technology and cooperative learning leads students to discover, analyze, and make connections among mathematical concepts.Students need numerous and varied experiences related to the cultural, historical, and scientific evolution of mathematics so that they can appreciate the role of mathematics in the development of our contemporary society and realize its impact on their future career choices.Students also need to explore relationships between mathematics and the disciplines it serves:the physical and life sciences, the social sciences, and the humanities.Courses offered make it possible for all students to understand mathematics at a depth and pace that is appropriate for the individual student. | 677.169 | 1 |
How to Figure Things Out
This page describes some proven ways in which you can be more
efficient and effective when actually doing mathematics with paper and
pencil. It focuses on
how to do what you do. (Almost all the of other pages in this
course focus on what to do.)
Students often think that the
only purpose of figuring things out is to get the answer with the
minimum amount of fuss and effort, and to get it over with. Actually
there are several objectives:
First and foremost, you want to get the right answer. Mistakes
are easy to make, and they occur with dismaying frequency. In many
cases they are not immediately obvious and they invalidate everything
that follows. As a result people waste huge amounts of time.
You want to be able to go back while you are figuring and see
what you did, and what went wrong, if you did make a mistake.
You want to recognize any mistakes as soon as possible so that
you don't waste your time on meaningless calculations.
If your work is going to be read (and perhaps evaluated) by
someone else you want that person to understand what you did.
In a math class (like most certainly in this one) everything you
do builds on what you did before and so you want to be able to go back
to what you did some time ago--even if you already turned in the
answers and got credit for them--and understand what you did back
then. In the same vain, you want to understand and
remember what you did
because you are bound to need it in a future problem.
You want to learn what there is to learn from the particular
piece of figuring that you are doing.
Subject to accomplishing the above objectives you want to spend
as little time as possible on any particular problem.
Luckily, the last objective is perfectly consistent with the others if
you think in terms of the whole set of problems and exercises that you
do in the course of the semester. If you guard carefully against
errors and ensure that you can correct them easily soon after they
occur you save time. If you learn what there is to learn in each
problem then you have to do fewer problems and exercises overall, and
you are able to do future exercises more quickly and with less
frustration.
Of course, how to figure things out is a highly personal process, and
what works for you may not work for somebody else, and vice versa.
However, I wrote this page because over and over I see students approach problems in a way that does not work at all, for them, or anybody else.
So here are some suggestions:
Before you start a problem think about your expectations. If a
contradiction to those expectations arises as you work the problem
pause and figure out what happened.
Students usually seem to be in a rush when trying to solve a
problem. That's understandable, there is much to do and little time.
But actually it is much more efficient, and
faster, to go about solving a problem carefully and
deliberately, taking small steps, writing down each step, and
making sure each step is correct before going on. Doing so reduces
the number of errors, makes you more alert to errors when they do
occur, and reduces the time you spend on identifying and correcting
errors.
When algebraic expressions are equal write an equality sign
between them. Write the expressions in the sequence in which they
occur. Don't just scribble them unconnected all over the page
wherever there is some as yet unused space.
Use engineering type graph paper instead of blank or lined paper.
This is particularly useful when drawing graphs. Don't use "scrap"
paper with unrelated information on one side. It will only confuse you
and your reader.
Use a soft pencil and an eraser. Don't use a pen, since scribbeling
out errors and perhaps writing over them makes your writing
incomprehensible. Don't use a hard pencil that writes only faintly,
it's hard to read.
When writing a sequence of equations or steps line them up so the
logical connection is clearly apparent.
When you change an expression or equation don't modify what you
wrote. Don't erase or cross out things (unless they were
wrong). Instead write the entire new expression or equation.
(Sometimes it makes sense to cross out terms that cancel. In that
case do so, but make sure it remains clear what actually did cancel.)
Take a note of what you did in each step, don't just do it, and
then later wonder why you could take that step.
Continue to ask yourself whether what you have currently makes sense.
Think about the physical meaning of what you are doing. This is
one of the major reasons to use variables rather than numbers. You
can't add a distance to a weight, for example, and so if your figuring calls for that
then you know that
something has gone wrong. You can recognize this in the expression
but not in the expression .
Keep your writing neat and organized.
Label your axes and note what your variables mean.
Remember that upper and lower case letters are different in
mathematics.
Use meaningful names for your variables (e.g., for
height, for distance, for weight, for mass, etc.).
Always check your answers. If you solved an equation
substitute your answers in the original equation. Compute the same
answer in two different ways. If your answer is a formula see that it
gives the right particular value in a case where you know the
answer. Check identities (equations that are true for all values of
the variables) by substituting particular values. Draw a picture and
see that your algebra is consistent with the picture. Ask if your
answers meet your expectations. Do they make sense?
When you are done take a moment to reflect on what you learned.
Chances are you will need to use this new knowledge in a
subsequent problem, and thinking about it now will make it easier to
recognize when you need it in the future.
Keep your notes, including all your worked exercises, organized
for future reference.
A major mathematical problem solving technique is to simplify a
difficult problem, solve the simple problem, and apply what you
learned in the process to the difficult problem. In the context of a
class like this, if you are stuck on a problem, chances are that you
already solved a simpler problem that's relevant to your current
problem. So if you are stuck, look back over problems you solved
recently to see if something you did there applies to what you are
doing now.
Don't spin your wheels. If you still can't solve a problem go back
over your notes, read in your documentation (these web pages or your
textbook), talk with friends, tutors, or your instructor, or set aside
the problem and solve some others before returning to the
obstacle.
You'll find examples for many of these techniques throughout these web pages
and the solutions of the homework problems. | 677.169 | 1 |
Essay on use of maths in other subjects
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Essays on Relation And Use Of Maths In Other Subjects Relation And Use Of Maths In Other Subjects Search Liberal Arts Essay. Essay Writing Guide Start In the vast majority ofschools GCSE Maths, English Language and Science are compulsory and the other subjects you will be entered. Essay On Relation And Use Of Maths In Other Subjects In 500 Words Essay on relation and use of maths in other subjects in 500 words Dresden Dietzenbach.
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Mathematics in other Subjects This is an excellent set of posters by Mrs Howard @ MrsHsNumeracy with examples of maths across the curriculum. Mathematics through other subjects Objectives • To discuss situations where the teaching of mathematics can be enhanced by using examples from other subjects. 2/9/2011 Maths and English are More Important than Art and Music Maths and English are more important subjects than any other How to Write an Opinion Essay.
3/8/2012 Maths and other subjects relation Maths and Agriculture Within the broad concept of farming, there are two very important elements: time and.
Relation and Use of Maths Relation and Use of Maths in Other Subjects Use of Maths in Other Subjects Essay Math and Science The math teacher can.
Use of Maths in Other Subjects Essay Sample Bla Bla Writing; science (161) For other connections between math and social studies| Math and Sports. Liberal Arts Essay essay on relation and use of maths in other subjects essay on relation and use of maths in other subjects Subject: Math. How Is Mathematics Used in Other Subjects? by Van Thompson But math is also relevant to a wide variety of academic subjects. | 677.169 | 1 |
Preview
Features
Students will learn key elements of linear algebra in an enjoyable fashion
Large number of exercises illustrate the applications of the course material
Allows instructors to create a course around individual lessons
Detailed solutions and hints are provided to selected exercises
Summary
Unlike most books of this type, the book has been organized into "lessons" rather than chapters. This has been done to limit the size of the mathematical morsels that students must digest during each class, and to make it easier for instructors to budget class time. The book contains considerably more material than normally appears in a first course. For example, several advanced topics such as the Jordan canonical form and matrix power series have been included. This was done to make the book more flexible than most books presently available, and to allow instructors to choose enrichment material which may reflect their interests, and those of their students.
Table of Contents
Matrices and Linear Systems
Introduction to Matrices
Matrix Multiplication
Additional Topics in Matrix Algebra
Introduction to Linear Systems
The Inverse of a Matrix
Determinants
Introduction to Determinants
Properties of Determinants
Applications of Determinants
A First Look at Vector Spaces
Introduction to Vector Spaces
Subspaces of Vector Spaces
Linear Dependence and Independence
Basis and Dimension
The Rank of a Matrix
Linear Systems Revisited
More About Vector Spaces
Sums and Direct Sums of Subspaces
Quotient Spaces
Change of Basis
Euclidean Spaces
Orthonormal Bases
Linear Transformations
Introduction to Linear Transformations
Isomorphisms of Vector Spaces
The Kernel and Range of a Linear Transformation
Matrices of Linear Transformations
Similar Matrices
Matrix Diagonalization
Eigenvalues and Eigenvectors
Diagonalization of Square Matrices
Diagonalization of Symmetric Matrices
Complex Vector Spaces
Complex Vector Spaces
Unitary and Hermitian Matrices
Advanced Topics
Powers of Matrices
Functions of a Square Matrix
Matrix Power Series
Minimal Polynomials
Direct Sum Decompositions
Jordan Canonical Form
Applications
Systems of First Order Differential Equations
Stability Analysis of First Order Systems
Coupled Oscillations
Appendix
Solutions and Hints to Selected Exercises
Author(s) Bio
David C. Mello received an M.A. degree in Mathematics from Rhode Island College, and both M.S. and Ph.D. degrees in Applied Mathematics from Brown University. He is currently Professor of Mathematics, Department of Mathematics, Johnson & Wales University, Providence, Rhode Island. He has taught college-level mathematics for more than 30 years | 677.169 | 1 |
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
Download Presentation
PowerPoint Slideshow about 'Welcome Back' - l goal of this course is to provide students with a thorough and extensive study of linear and quadratic functions and graphing on the xy-coordinate system. By the end of this course, students will have all the knowledge necessary to solve and graph equations and inequalities. They will also be able to apply this knowledge to other areas of math, such as word problems, ratios and proportions.
EOC- will be taken in May. You must pass the EOC to get credit.
Dual Math- Pre- Algebra and Algebra
What is Algebra?
Paper thorough and extensive study of linear and quadratic functions and graphing on the
Pencil
3 Ring binder
Eraser
Expo marker
Four function calculator NO SCIENTIFIC CALCULATOR
Materials for Algebra I
Pearson thorough and extensive study of linear and quadratic functions and graphing on the
USAtestprep
IXL
Remind 101
Period 1- text @62dc7 to (754) 400- 6227
Period 2, 4, & 6 - text @5a0fb to (754) 400- 6227
Period 5 & 7- text @bd44f to (754) 400- 6227
Websites
Website thorough and extensive study of linear and quadratic functions and graphing on the homeworkswill always be checked at 2:30 the day it is due. No exception
Can always be found on my web page
Improving your grade
If you get a D or F, you can do Form K for a better grade Due the following class | 677.169 | 1 |
ISBN 13: 9780133197501
MIDDLE GRADES MATH 2010 HOMESCHOOL BUNDLE GRADE 6
Prentice Hall Mathematics is a Math curriculum for homechooling that's geared toward middle school-aged children. The content in Course 1 helps you create lesson plans that improve your child's understanding of Math. This program was developed using educational research and contains interactive problems and activities. Furthermore, it naturally follows the enVisionMATH program, ensuring your child's transition from elementary to middle school Mathematics is smooth.
In middle school, your child will begin working with algebra and geometry, both of which require a solid understanding of foundational math concepts. Prentice Hall Mathematics: Course 1 develops the groundwork for both subjects, helping your child grow in his or her Math abilities. The curriculum provides engaging and interactive activities to keep your child thinking critically about Math. The best part is that the program is dynamic, meaning you control the pace of your homeschooling lessons. Linger on concepts your child is struggling with or move ahead if he or she feels confident.
As your child works through this curriculum, he or she will begin to understand rational and irrational numbers, patterns, integers, inequalities and equations, among many other important math topics. Using the materials in this program, you'll help your child achieve his or her educational goals.
In fact, by the time your child finishes Course 1, he or she should be able to:
Complete algebraic expressions.
Use algebraic skills to solve real-world problems (i.e., how long will it take to reach a destination that's 20 miles away if you're moving 60 miles per hour?).
Solve inequalities and equations that have a single variable.
Understand the difference and relationship between dependent and independent variables.
Recall and use geometric equations for things such as area, surface area and volume.
The materials included in Prentice Hall Mathematics: Course 1 will help your child achieve these and other educational goals. For more information about the items included in this curriculum for homeschooling, visit the Features and Benefits page. | 677.169 | 1 |
This course introduces students to the basic ideas of abstract algebra and number theory. Topics covered in number theory include mathematical induction, divisibility algorithms, factorization methods, primes, congruences, and Diophantine equations. Topics covered in abstract algebra include binary and equivalence relations, groups and subgroups, isomorphisms and homorphisms, rings, and ideals. | 677.169 | 1 |
Description
Overview
This unit will aim to help pupils revise algebra in a practical way involving lots of examples and hands on work. If the unit is used in the classroom teachers can revise the unit in algebra in a shorter amount of time with the topic divided into clear subsections.
What You Need
For a teacher to use this unit with a class a data projector with a whiteboard/smartboard would be the most benifical way. Pupils can also use the site individually using a pc. A printer will be required to printout any handouts provided in pdf.
Curriculum Addressed
Algebraic operations on polynomials and rational functions. Addition, subtraction, multiplication and division and the use of brackets and surds. Laws of indices and logarithms The Factor Theorem for polynomials of degree two or three. Factorisation of such polynomials (the linear and quadratic factors having integer coefficients). Solution of cubic equations with at least one integer root. Sums and products of roots of quadratic equations. Unique solution of simultaneous equations with two or three unknowns. Solution of one linear and one quadratic equation with two unknowns. Inequalities Modulus Equations | 677.169 | 1 |
For TI-Nspire Family handheld units that contain rechargeable batteries you can alternatively hold the above keys while pressing the [reset] button on the back of the handheld rather than removing the battery for 2-5 seconds.
• The device will boot up as in the previous reset, but will display a menu with the following options. Please try options 2, 3, and 4 in that order. • 1: Cancel - The most non-intrusive reset option; no changes are made, the unit restarts. • 2: Delete Operating System - The operating system will be deleted without deleting any documents on the system. • 3: Delete Document Folder Contents - This will delete the user's documents, but will not delete the OS. Selecting this option is the same as using the RESET hole on the back of the unit. • 4: Complete Format - This will delete the OS and all documents for a total wipe of the handheld.
The TI 86 calculator does not manipulate algebraic expressions. If does not have a Computer Algebra System or CAS. Try the TI 89 Titanium, TI92/92PLUS, Voyage 200 PLT, TI Nspire CAS, TI Nspire CX CAS. In Casios you have the ClassPad series (300, 300Plus, 330 Plus and the latest 400. The ClassPad 400 has a color screen. It is also orientable portrait or landscape. Other Casios are the Algebra FX 2 and 2, and the FX 9860 G Plus/ SD. In HP you have HP 50G, HP49C, HP49G+.
What does it mean to say that it has ALGEBRA? It means that you can use it to solve problems given in your ALGEBRA course, the same as it can be used to solve physics and chemistry problems.
It does have several memory locations you can use to store values to suit your formulas. I have a hunch you will not believe another word I say, so I am enclosing a screen capture taken from the user's guide. I underlined some parts to draw you attention to them.
This calculator cannot do algebra ( manipulating expressions with letter symbols) . It does not have a CAS (computer Algebra System). All it can do is evaluate (find the numerical value of) expressions typed in. If it has the appropriate keys to enter variables such as A,B,C, or X and Y., and you entered an expression with variables it will use the numerical values stored in the variables. If you have not stored anything in a variable, it is given the value 0 by default. | 677.169 | 1 |
Martin Gardner starts Riddles with questions about splitting up polygons into prescribed shapes and he ends this ebook with a proposal of a prize of $100 for the 1st individual to ship him a three x# magic sq. inclusive of consecutive primes. basically Gardner might healthy such a lot of diversified and tantalizing difficulties into one ebook.
Get the grade you will want in algebra with Gustafson and Frisk's starting AND INTERMEDIATE ALGEBRA! Written with you in brain, the authors offer transparent, no-nonsense motives that can assist you examine tricky thoughts conveniently. arrange for checks with a number of assets situated on-line and during the textual content corresponding to on-line tutoring, bankruptcy Summaries, Self-Checks, preparing workouts, and Vocabulary and idea difficulties.
Effortless ALGEBRA bargains a pragmatic method of the examine of starting algebra ideas, in keeping with the wishes of cutting-edge scholar. The authors position distinctive emphasis at the labored examples in each one part, treating them because the basic technique of guide, on the grounds that scholars count so seriously on examples to accomplish assignments.
May not be copied, scanned, or duplicated, in whole or in part. Learn to be self-sufficient. com TIP #3 Students most likely to succeed in math are students who have learned to be selfsufficient by checking their work for accuracy and reasonability. They often show steps of a solution, line by line, and look for any errors in arithmetic or algebra. These students also may have learned to determine whether the final answers they provide make sense— for example, they might verify that values reported as final answers are not too big or small in the context of the problems they are solving. | 677.169 | 1 |
Appropriate expressions
Share this
Gerry Wearden suggests some teaching tactics for making algebra understandable without misrepresenting its complexity
Pupils are intrigued by algebra. At first they find it hard to believe they must learn something that seems ridiculous. That it rapidly becomes almost incomprehensible is much less of a surprise and many spend the ensuing years fluctuating between bemusement and frustration.
My research in Kent and in Austria suggests that Austrian and English pupils aged 14 experience similar problems with algebra and that their teachers are uneasy about these lessons. In both countries the algebra content of the national curricula is seen as problematic.
The following list does not reflect a particular model of learning or a teaching approach. The points arose through discussion with teachers in both countries about the errors which secondary pupils make. If there is a common theme it is the need to maintain the complexity of algebra - for in this lies its power - while making it understandable and coherent. These are, then, tentative suggestions.
* Be explicit about when the understanding of variable is important (for example, to answer the question: Which is bigger, 2n or n+2?). The assumption that a letter has to stand for a particular unknown is widespread; as is the view that two different letters must stand for two different numbers.
* Dolots of simple formula work based on diagrams (for example, perimeters).
* Encourage checking by substituting fractions, decimals or negative numbers as well as positive integers.
* Be aware that textbook questions may encourage pupils to avoid or to ignore the algebra (for example, if a+b =23, a+b+2= ?).
* Use nth term expressions from sequences to discuss the values n can take.
* Actively teach and revise the vocabulary of algebra.
* Discuss the nature of the equals sign, particularly its dual role as a (procedural) prompt for a calculation or an answer and its (structural) use when stating equivalence | 677.169 | 1 |
In no more than 5 pages, you will have to explain the case and the answers to the given problems and questions. Remember to use citations and references (in APA style) if you use specific information from external sources explanations.
Photomath is an mobile app which solves math problems using camera on | 677.169 | 1 |
Calculus lll
Calculus lll Syllabus
Yes. Your transcript will come from the records office at United States University. They are regionally accredited and award semester credits.
Credits. AnalyzeChapter quizzes 15% Exams (3)12.1 Three-Dimensional Coordinate System
12.1
12.2 Vectors
12.2
12.3 The Dot Product
12.3
12.4 The Cross Product
12.4
12.5 Lines and Planes in Space
12.5
12.6 Cylinders and Quadric Surfaces
12.6
Chapter 12 Quiz
Chapter 13
Vector-Valued Functions and Motion in Space
Lessons
Homework
13.1 Curves in Space and Their Tangents
13.1
13.2 Integrals of Vector Functions; Projectile Motion
13.2
13.3 Arc Length in Space
13.3
13.4 Curvature and Normal Vectors of a Curve
13.4
13.5 Tangential and Normal Components of Acceleration
13.5
13.6 Velocity and Acceleration in Polar Coordinates
13.6
Chapter 13 Quiz
Exam 1: Chapters 12 - 13
Chapter 14
Partial Derivatives
Lessons
Homework
14.1 Functions of Several Variables
14.1
14.2 Limits and Continuity in Higher Dimensions
14.2
14.3 Partial Derivatives
14.3
14.4 The Chain Rule
14.4
14.5 Directional Derivatives and Gradient Vectors
14.5
14.6 Tangent Planes and Differentials
14.6
14.7 Extreme Values and Saddle Points
14.7
14.8 Lagrange Multipliers
14.8
14.9 Taylor's Formula for Two Variables
14.9
14.10 Partial Derivatives with Constrained Variables
14.10
Chapter 14 Quiz
Chapter 15
Multiple Integrals
Lessons
Homework
15.1 Double and Iterated Integrals over Rectangular Regions
15.1
15.2 Double Integrals over General Regions
15.2
15.3 Area by Double Integration
15.3
15.4 Double Integrals in Polar Form
15.4
15.5 Triple Integrals in Rectangular Coordinates
15.5
15.6 Moments and Center of Mass
15.6
15.7 Triple Integrals in Cylindrical and Spherical Coordinates
15.7
15.8 Substitutions in Multiple Integrals
15.8
Chapter 15 Quiz
Exam 2: Chapters 14 - 15
Chapter 16
Integration in Vector Fields
Lessons
Homework
16.1 Line Integrals
16.1
16.2 Vector Fields and Linea Integrals: Work, Circulation, and Flux
16.2
16.3 Path Independence, Conservative Fields, and Potential Functions
16.3
16.4 Green's Theorem in the Plane
16.4
16.5 Surfaces and Area
16.5
16.6 Surface Integrals
16.6
16.7 Stoke's Theorem
16.7
16.8 The Divergence Theorem and a Unified Theory
16.8
Chapter 16 Quiz
Chapter 17
Second-Order Differential Equations
Lessons
Homework
17.1 Second-Order Linear Equations
17.1
17.2 Nonhomogeneous Linear Equations
17.2
17.3 Applications
17.3
Chapter 17 Quiz
Exam 3: Chapters 16 - 17 MATU 8005
Transcript:
Yes. Your transcript will come from the records office at Brandman University. They are regionally accredited
and award Proffessional Development Units (PDU).
Credits: 4 Professional Development Units (PDU)
Transfer:
Since Professional
Development units (PDU) are not academic credits, they typically cannot be used
towards graduation of an undergraduate degree. However, the course may be able
to be used as a prerequisite at some schools and/or graduate programs. Since
graduate programs usually just need to verify the course has been taken, PDUs
are usually acceptable. Ask your counselor for pre-approval by sending him/her the Course Description on Brandman's Site. The course can also be used to learn the material and then receive credit at your can the sets | 677.169 | 1 |
Intermediate Intermediate tables, and writing sentences to communicate solutions to application problems. The authors have developed several key ideas to make concepts real and vivid for students. First, the authors integrate applications, drawing on real-world data to show students why they need to know and how to apply math. The applications help students develop the skills needed to explain the meaning of answers in the context of the application. Second, they emphasize strong algebra skills. These skills support the applications and enhance student comprehension. Third, the authors USE an eyeball best-fit approach to modeling. Doing models by hand helps students focus on the characteristics of each function type. Fourth, the text underscores the importance of graphs and graphing. Students learn graphing by hand, while the graphing calculator is used to display real-life data problems. In short, "Intermediate Algebra: Connecting Concepts Through Applications, International Edition", takes an application-driven approach to algebra, using appropriate calculator technology as students master algebraic concepts and skills. Books, Science and Geography~~Mathematics~~Algebra, Intermediate Algebra~~Book~~9781111568696~~Mark Clark, , , , , , , , , ,
Thomson Wardsworth, 2011. S.696TM Intermediate Algebra], Thomson Wardsworth, 2011
Softcover, Brand New INTERNATIONAL EDITION, 4-6 days shipping! Same contents as the US edition with 3-5 days shipping. CD/DVD or access codes may not be included., New in new dust jacket., [PU: Brooks/Cole]
Shows students how to apply traditional mathematical skills in real-world contexts. This title modifies the rule of four, integrating algebraic techniques, graphing, the use of data in tables, and writing sentences to communicate solutions to application problems.
Details of the book - Intermediate Algebra: Connecting Concepts Through Applications | 677.169 | 1 |
Mathematics
Mathematics plays an essential role both within the school and in society. It promotes a powerful universal language, analytical reasoning and problem-solving skills that contribute to the development of logical, abstract and critical thinking. Moreover, understanding and being able to use mathematics with confidence is not only an advantage in school but also a skill for problem-solving and decision-making in everyday life. Therefore, mathematics should be accessible to and studied by all students.
Mathematics is well known as a foundation for the study of sciences, engineering and technology. However, it is also increasingly important in other areas of knowledge such as economics and other social sciences.MYP mathematics aims to equip all students with the knowledge, understanding and intellectual capabilities to address further courses in mathematics, as well as to prepare those students who will use mathematics in their workplace and life in general.
In MYP mathematics, the four main objectives support the IB learner profile, promoting the development of students who are knowledgeable, inquirers, communicators and reflective learners.
Knowledge and Understanding promotes learning mathematics with understanding, allowing students to interpret results, make conjectures and use mathematical reasoning when solving problems in school and in real-life situations.
Investigating patterns supports inquiry-based learning. Through the use of investigations, teachers challenge students to experience mathematical discovery, recognize patterns and structures, describe these as relationships or general rules, and explain their reasoning using mathematical justifications and proofs.
Communication in mathematics encourages students to use the language of mathematics and its different forms of representation, to communicate their findings and reasoning effectively, both orally and in writing.
Reflection in mathematics provides an opportunity for students to reflect upon their processes and evaluate the significance of their findings in connection to real-life contexts. Reflection allows students to become aware of their strengths and the challenges they face as learners.
Overall, MYP mathematics expects all students to appreciate the beauty and usefulness of mathematics as a remarkable cultural and intellectual legacy of humankind, and as a valuable instrument for social and economic change in society. | 677.169 | 1 |
Career Preparation
The Mathematics Department at Virginia Tech, as part of the University's
role as a Land Grant University, places a large emphasis on professional
preparation. But first we have to make sure that students understand that
there are tremendous careers available in applied mathematics.
Unfortunately, many people are only aware of the need for good middle and
high school teachers. They do not realize that mathematics often plays an
extraordinary role in the whole gamut of human scientific endeavors through
a process called "mathematical modeling." To create a mathematical model to
describe a phenomenon, one must derive a mathematical structure that mimics
the phenomenon, and is a reliable predictor of its outcomes. Once the
mathematical model is constructed, it must be tested, and then it must be
made amenable to a computational solution process. All of these activities
are mathematical in nature and are often performed by scientists and
mathematicians in concert. Moreover, this modeling activity is common to
all forms of science, whether natural science, social science, engineering,
or computational science.
The non-awareness of career possibilities in mathematics is a problem that
three national organizations have jointly tackled. They are the American
Mathematical Society ( AMS), the Mathematics Association of America (MAA),
and the Society for Industrial and Applied Mathematics (SIAM). These groups
have established a web site that gives professional biographies of many
successful mathematicians in government and industry. This site, plus one
that illustrates the wide variety of interesting and challenging jobs taken
by Virginia Tech Mathematics graduates in the past four years, comprises the
first link in this section.
The second link in this section discusses the activity of the Virginia Tech
Mathematics Department towards informing students of career possibilities,
identifying the students' tastes and talents in different mathematical
areas, and in helping them obtain summer jobs and permanent employment.
The third link in this section deals with the University Career Services
Office which provides many services to our students towards reaching the
professional opportunities available in government and industry. | 677.169 | 1 |
True or False, three parts. Properties of Matrix multiplication. English sentences given here:
Example: "Matrix multiplication is associative".
Given two 2x2 matrices A and B. Find: A+B, Det A, AB, A inverse, 3A-2B, B squared.
Given a function f, evaluate f(A).
Solve two matrix equations for X.
Solve two 3x3 systems of linear equations using Gauss-Jordan elimination. Gauss-Jordan
elimination must be used. Pivoting is optional but encouraged. One of the systems is very
easy (lot's of zero's).
Find the inverse of a 3x3 matrix.
Evaluate a 4x4 determinant (lots of zeros)
True or False, 10 parts. Properties on matrices written in mathematical form. Most of these
involve order of operations (when is something commutative and when isn't it), but also look
for those properties given on Monday at the end of class and when A dot A inverse is I and
when it isn't. | 677.169 | 1 |
Microsoft Mathematics 4.0
Microsoft Mathematics 4.0
Microsoft Mathematics provides a graphing calculator that plots in 2D and 3D, step-by-step equation solving, and useful tools to help students with math and science studies.
Microsoft Mathematics provides a set of mathematical tools that help students get school work done quickly and easily. With?s designed to work just like a handheld calculator. Additional math tools help you evaluate triangles, convert from one system of units to another, and solve systems of equationsFlashFXP is a powerful and popular FTP & FXP Client for Windows. It | 677.169 | 1 |
published:25 Sep 2017
views:966
Dan Garcia of UC Berkeley presents the Beauty and Joy of Computing, lecture 1: Abstraction. Slides available atpublished:20 Nov 2017
views:2Universal algebra is a related subject that studies the nature and theories of various types of algebraic structures as a whole. For example, universal algebra studies the overall theory of groups, as distinguished from studying particular groups.
History
As in other parts of mathematics, concrete problems and examples have played important roles in the development of abstract algebra. Through the end of the nineteenth century, many -- perhaps most -- of these problems were in some way related to the theory of algebraic equations. Major themes include:Jeremy Moon
25:11
BJC Lecture 1: Abstraction [1080p HD]
BJC Lecture 1: Abstraction [1080p HD]
BJC Lecture 1: Abstraction [1080p HD]
Dan Garcia of UC Berkeley presents the Beauty and Joy of Computing, lecture 1: Abstraction. Slides available at
Jeremy Moon 傑里米·曼 (1934-1973) Post-Painterly Abstraction British Associated10:10
Willem de Kooning _ Abstract expressionism
Willem de Kooning _ Abstract expressionismCT at Google: Facilitating Software and Game Development though AbstractionYo...
published: 25 Sep 2017
BJC Lecture 1: Abstraction [1080p HD]
Dan Garcia of UC Berkeley presents the Beauty and Joy of Computing, lecture 1: Abstraction. Slides available at abst...
published: 20 Nov 2017 women app...published: 21 Jun 2016
Emma Watson Caricature - Abstraction Critique
Court critiques a student abstraction of Emma Watson and talks about using the Reilly Method while drawing a caricature. Full caricature lessons at
In this student critique, Court breaks down his general method and thought process for refining a portrait sketch using the abstraction. It's important that you use the abstraction to refine and improve your sketch instead of just tracing it. This step should improve the caricature and help you move on to the final sketch.
Want more? There's an additional 8 critiques in the premium course at
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Group Theory -Subgroups definition Examples in hindi... setting bpublished: 05 Jul 2017 exhi... delineGraphLab: A Distributed Abstraction for Machine Learning
Today, machine learning (ML) methods play a central role in industry and science. The growth of the web and improvements in sensor data collection technology ha... tendencyGraphLab: A Distributed Abstraction for Machine Learning in the Cloud. by Carlos Guestrin 20130128
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Wassily Kandinsky the creator of the first modern abstract paintings, Wassily Kandinsky was an influential Russian painter and art theorist t... asynchronous ex... withGroup Theory -Subgroups definition Examples in hindi
This Video is useful in B.Sc ,B.Tech,GATE etc Examination. In mathematics and abstract algebra, group theory studies the algebraic structures known as groups. T... talk drops virtually all abstraction and shows how to program the simple 8 bit processor and custom designed video hardware in the Atari 2600 "VCS". Users ... ye... Church in 1941. His writings include Du Cubisme et des Moyens de le comprendre 1920 and La Peinture et ses Lois 1924. Died at Avignon. Church in 1941. His writings include Du Cubisme et des Moyens de le comprendre 1920 and La Peinture et ses Lois 1924. Died at Avignon. | 677.169 | 1 |
Solves systems of linear equations, up to three-equations/three-unknowns. LESX also solves systems graphically, including 3D graphing. LESX is an integrated teaching aide designed to assist students in understanding key concepts in Algebra. LESX also solves systems with comprehendable step-by-step directions for solving systems algebraically. (Nostub program) | 677.169 | 1 |
The entire fact approximately entire Numbers is an advent to the sphere of quantity idea for college students in non-math and non-science majors who've studied a minimum of years of highschool algebra. instead of giving short introductions to a wide selection of subject matters, this ebook presents an in-depth creation to the sphere of quantity conception. the subjects lined are lots of these integrated in an introductory quantity concept direction for arithmetic majors, however the presentation is thoroughly adapted to satisfy the desires of basic schooling, liberal arts, and different non-mathematical majors. The textual content covers common sense and proofs, in addition to significant thoughts in quantity concept, and includes an abundance of labored examples and workouts to either essentially illustrate thoughts and assessment the scholars' mastery of the material.
This e-book response to compactness arguments can't be utilized in basic.
* offers workouts on the finish of every bankruptcy that diversity from easy initiatives to more difficult projects
* Covers on an introductory point the extremely important factor of computational facets of by-product pricing
* individuals with a history of stochastics, numerics, and by-product pricing will achieve a right away profit
Computational and numerical tools are utilized in a few methods around the box of finance. it's the target of this e-book to provide an explanation for how such equipment paintings in monetary engineering. by means of targeting the sector of alternative pricing, a center job of economic engineering and threat research, this ebook explores quite a lot of computational instruments in a coherent and targeted demeanour and should be of use to the complete box of computational finance. beginning with an introductory bankruptcy that provides the monetary and stochastic history, the rest of the e-book is going directly to element computational equipment publication similar to that at the calculation of sensitivities (Sect. three. 7) and the advent of penalty equipment and their program to a two-factor version (Sect. 6. 7)
* extra fabric within the box of analytical tools together with Kim's essential illustration and its computation
* guidance for evaluating algorithms and judging their efficiency
* a longer bankruptcy on finite parts that now encompasses a dialogue of two-asset options
* extra workouts, figures and references
Written from the point of view of an utilized mathematician, all equipment are brought for instant and simple program. A 'learning by means of calculating' process is followed all through this ebook allowing readers to discover a number of parts of the monetary world.
Interdisciplinary in nature, this ebook will attract complicated undergraduate and graduate scholars in arithmetic, engineering, and different medical disciplines in addition to pros in monetary engineering.
Even supposing notion entire textbook to supply unique assurance of numerical tools, their algorithms, and corresponding machine courses. It offers many options for the effective numerical resolution of difficulties in technology and engineering. besides a number of worked-out examples, end-of-chapter routines, and Mathematica® courses, the publication comprises the normal algorithms for numerical computation: Root discovering for nonlinear equations Interpolation and approximation of services via less complicated computational construction blocks, reminiscent of polynomials and splines the answer of platforms of linear equations and triangularization Approximation of features and least sq. approximation Numerical differentiation and divided alterations Numerical quadrature and integration Numerical strategies of normal differential equations (ODEs) and boundary price difficulties Numerical answer of partial differential equations (PDEs) The textual content develops scholars' realizing of the development of numerical algorithms and the applicability of the equipment.
Additional info for The Whole Truth About Whole Numbers: An Elementary Introduction to Number Theory
Example text
If the conditional statement is false, give an example that shows it is false. (b) Form the conditional q ) p and determine whether it is true or false. If the conditional statement is false, give an example that shows it is false. (c) Determine whether the biconditional statement p , q is true or false. 32. p: a is even. 33. p: The last digit of n is 0. 34. p: The last digit of n is 5. q: a is divisible by 6. q: n is even. q: n is divisible by 5. 4 Properties of the Integers 35. p: a is divisible by 3.
2. R, pictured below, is a rectangle. 5 Rules of Logic and Direct Proofs 39 A B C D Can you make a valid conclusion about sides AB and CD? If so, what? If not, why not? Solution In this case the premises do support a valid conclusion. If a conditional statement is true, then the consequence is true every time the condition is true. Since the shape R is a rectangle, the condition in the first premise is true for R. Therefore, the opposite sides AB and CD must be parallel. 5 Exercises 1–4. Factor the common factors out of the expression.
Deductive reasoning does not generalize specific examples. Instead, a deductive reasoning process begins with known facts and connects them using logic to reach a conclusion. The most important difference between inductive and deductive reasoning is that the conclusion of a deductive argument is guaranteed to be true, as long as the premises, or the initial pieces of information used in the argument, are true. If a deductive argument begins with a false premise, such as 2 + 2 ¼ 5, then correctly applying a rule of algebra by adding 1 to both sides of the equation produces the equation 5 ¼ 6. | 677.169 | 1 |
The emphasis of this book lies on the teaching of mathematical modeling rather than simply presenting models. To this end the book starts with the simple discrete exponential growth model as a building block, and successively refines it. This involves adding variable growth rates, multiple variables, fitting growth rates to data, including random elements, testing exactness of fit, using computer simulations and moving to a continuous setting. No advanced knowledge is assumed of the reader, making this book suitable for elementary modeling courses. The book can also be used to supplement courses in linear algebra, differential equations, probability theory and statistics.
"synopsis" may belong to another edition of this title.
Book Description:
The aim of this book is the teaching of mathematical modeling. No advanced knowledge is assumed of the reader, making this book suitable for elementary modeling courses, or to supplement courses in linear algebra, differential equations, probability theory and statistics.
From the Publisher:
Students taking a course based on this book should have some mathematical maturity, but will need little advanced knowledge. The book presents more advanced topics on an as-needed basis and serves to show how the different topics of undergraduate mathematics can be used together to solve problems. The course presents elements of discrete dynamical systems, basic probability theory, differential equations, matrix algebra, stochastic processes, curve fitting, statistical testing, and regression analysis. Computer analysis is extensively used in conjunction with these topics. You can also use this book if you are seeking applications to supplement a course in linear algebra, differential equations, difference equations, probability theory, or statistics. | 677.169 | 1 |
Posts Tagged "SupplementalLearning List has reviewed Region 13 Education Service Center's Algebra I Mini Interventions: Linear Equations and Inequalities. This is a supplemental product that helps teachers understand and teach the student expectations (SEs) added to the Texas Essential Knowledge and Skills (TEKS) for Algebra I in 2012. Instruction addresses only that content added to the "Linear Equations, Functions, and Inequalities" strand of the TEKS. Content is available in interactive PDF format and may be printed. [Read more…] | 677.169 | 1 |
Complete Algebra 2 unit on radicals, with powerpoints
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Here is a complete unit for Algebra 2 based on radical expression. This is a unit that is designed to take 7 days for those teaching on a block schedule. Will take longer if on a traditional schedule. Unit includes power points and guided notes for students on different topics. Suggested classwork and homework assignments are also included. All work can be changed and edited to meet personal needs. Great to teach from or for substitute to use when absent. Most answer keys are included for assignments. Included is a unit review and assessment. | 677.169 | 1 |
Mathematica 11 Essential Training
Learn how to analyze data using the Mathematica 11 environment and language. In this course, Curt Frye shows how to set up Mathematica notebooks, find help, assign values to variables, import data into Mathematica, and research your results using Wolfram|Alpha. He also explains how to create and manipulate lists, analyze data using descriptive statistics, perform matrix calculations, create and debug Mathematica scripts, and plot your data using the capabilities built into Mathematica 11. To wrap up, he demonstrates how to convert files into the Computable Document Format (CDF), add animation to make your results more interactive, and get started with the Wolfram Cloud. Learn how to analyze data using the Mathematica 11 environment and language. | 677.169 | 1 |
If you are a script coder you must have gone through some of the popular editors for writing new scripts or editing the...
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Skyline is a science fiction comic book which also tests your math problem solving skills.
You are the student of the future. You go to school in the clouds and have to solve math problems projected as holograms. The story of the series unfolds with you discovering you have hidden abilities.
You only need to know basic arithmetic to solve these problems | 677.169 | 1 |
As I understand it, Lang is quite a bit harder than Stewart. So if you find the material in Stewart to be inadequate you may be better served by Lang. But if you're just trying to keep up (as happens not infrequently in Calc I and very often in Calc II) you may prefer Stewart or another basic one like Larson. | 677.169 | 1 |
Definitions of Math Problem
The Secret to Math Problem
So you're positive you understand just what you are reading be sure you read a few times. Regardless of the fact that it is really challenging to overcome a mathematics problem, you'll find a number. Q problemsolving is solving. In that way, if there exists an issue, one knows how to resolve it. Perhaps not quotes or italics for movies a lot of problems are solved without even modification of this answer. Scarcely any elevated level issues respond properly to the efforts of one person one function one particular branch.
The alternative was supposed to prioritize those difficulties. It is possible to see they are growth's nutrients if you are prepared to check up on problems afresh. Word issues change from being really simple to incredibly intricate. Ensure you carefully assess the difficulty and also re write down all of the info which means you've got each one of the tools. It's among the absolute most regularly explained problems in computer basics.
Most Noticeable Math Problem
You will discover questions asking to discover the volume of the cone. Questions have a inclination to comprise most of the advice we have to correct the issue. It's the method of getting answers. Save for this, you may also get Math answers immediately utilising an internet calculator, which is an interactive mastering tool. Asking for help isn't failure it's an important stepping stone to get victory.
You have to totally reprogram the method your mind interrupts mathematics. R is problematic for students who's right brain dominant. You may mathematics, and the best means without spending time and keep far from your present lifetime and your own company to achieve this is via subliminal studying. In conclusion it is essential to receive an for math in my own opinion to its crucial facets that are upcoming. What's more crucial is these students of math whenever they eventually become citizens of our state wo utilize math.
Math is about practice. It takes a lot of practice and several students don't realize this fact. Know that all portions of the everyday lives demand mathematics . Digital education was proved to be as efficient as classroom instruction. The college level math instruction introduces a great deal of new mathematical instruments and concepts.
Want to Know More About Math Problem?
The student is shown a string of contours, numbers, or amounts. He had been allowed to re take the exam. Therefore each of their students magically pass every moment to every class. It is very crucial that you demonstrate to those pupils how mathematics may be employed to address practical problems in life that is actual span. By using their math tutors at three each early hours, students may get in contact and they truly are definitely going to function present. Students face issues right as it has to do with adding favorable exponents. Until they have to get seri ous thus to the majority of students faculty will be the previous four decades of comfort and playtime | 677.169 | 1 |
The advisor to vector research that is helping scholars examine quicker, research larger, and get most sensible grades
More than forty million scholars have relied on Schaum's to assist them learn speedier, research greater, and get best grades. Now Schaum's is best than ever-with a brand new glance, a brand new layout with 1000's of perform difficulties, and entirely up-to-date info to comply to the newest advancements in each box of study.
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This can be a sophisticated textual content for the only- or two-semester direction in research taught essentially to math, technological know-how, desktop technology, and electric engineering majors on the junior, senior or graduate point. the fundamental strategies and theorems of research are provided in this sort of means that the intimate connections among its quite a few branches are strongly emphasised.
This insightful publication combines the background, pedagogy, and popularization of algebra to give a unified dialogue of the subject.
Classical Algebra offers an entire and modern point of view on classical polynomial algebra throughout the exploration of ways it was once built and the way it exists this day. With a spotlight on famous parts corresponding to the numerical suggestions of equations, the systematic examine of equations, and Galois concept, this ebook allows an intensive knowing of algebra and illustrates how the ideas of recent algebra initially built from classical algebraic precursors.
This e-book effectively ties jointly the disconnect among classical and glossy algebraand presents readers with solutions to many desirable questions that sometimes pass unexamined, including:*
What is algebra approximately? *
How did it come up? *
What makes use of does it have? *
How did it advance? *
What difficulties and concerns have happened in its historical past? *
How have been those difficulties and matters resolved?
The writer solutions those questions and extra, laying off gentle on a wealthy heritage of the subject—from historical and medieval instances to the current. established as 11 "lessons" which are meant to provide the reader extra perception on classical algebra, each one bankruptcy includes thought-provoking difficulties and stimulating questions, for which whole solutions are supplied in an appendix.
Complemented with a mix of historic comments and analyses of polynomial equations all through, Classical Algebra: Its Nature, Origins, and makes use of is a superb booklet for arithmetic classes on the undergraduate point. It additionally serves as a necessary source to somebody with a basic curiosity in mathematics.
Choice conception presents a proper framework for making logical offerings within the face of uncertainty. Given a collection of possible choices, a collection of results, and a correspondence among these units, determination conception bargains conceptually basic strategies for selection. This ebook provides an summary of the elemental suggestions and results of rational determination making less than uncertainty, highlighting the consequences for statistical perform. | 677.169 | 1 |
Solutions to math problems are explained step-by-step.
One of the most difficult concepts for the K-12 student in the mathematics classroom is translating a mathematical solution into words. This may be the result of the level of abstraction needed to make the transition from a numerical solution to the written word. Another potential stumbling block for students when writing solutions to math problems is that students often have a tendency to solve the problem and then immediately jump into writing the solution without ever preparing for the writing process. Finally, writing across the math curriculum has never been incorporated effectively because a method of transcribing mathematical processes has never been clearly defined for either instructors or students.
Not every book has answers in the back but these days it's pretty easy to check your answers anyway. Most graphic calculators can handle very complex scenarios, and give you a check (provided you have solved step one; make sure you know the problem). The Internet also contains a myriad of solutions to math problems from the basic to the complex. That said, sometimes the solution is the best wrong solution! Advanced math problems often require you to take these same steps and come to the right wrong answer; a true test of your mathematics solving skills!
* on how to write solutions to math problems * CMU (peer tutoring and academic counseling resources) * and more illustrating calculus concepts * at CMU Joanne Lobato received a three year grant from the National Science Foundation, Re-imagining Video-Based Online Learning.
The familiar YouTube-style videos of solutions to math problems have been used world-wide to help students learn basic math. Dr. Lobato's $440 thousand grant will allow her team to create and test a model of online videos that embodies a more expansive vision of both the nature of the content and the pedagogical approach than is currently represented in YouTube-style lessons. Rather than the procedurally-oriented expository approach of videos that dominate the internet, the videos produced for this project will focus on developing mathematical meanings and conceptual understanding. They will feature pairs of middle school and high school students, highlighting their dialogue, explanations, and alternative conceptions. Despite the tremendous growth in the availability of mathematics videos online, little research has investigated student learning from them. Consequently, a major contribution of this proposed work will be a set of four vicarious learning studies. The grant provides funds a research assistantship for C. David Walters (on right in photo), a student in the Mathematics and Science Education Doctoral Program (MSED) For arguments sake, we shall say we need a heuristic anytime we solve a problem that is non-numeric. The reasoning is that such problems usually require human intervention, and all human actions/behaviors/thoughts are infinite by nature. Take the example of bending a finger. One is tempted to say this involves only the pulling of the finger toward the palm. In reality, to bend a finger the brain first generates the idea to bend the finger. Once the idea establishes itself in the brain, then signals are sent to all of the muscles involved to either contract or relax at a specific moment in time. But, the brain signal alone contains a series of steps where neural transmitters are secreted and the neurons are turned either on or off. The all-or-nothing quality of neurons themselves involves even more molecular process. Eventually, we find ourselves at the atomic level, then the quantum level, until, before we know it, we are playing with the very essence of infinity—space-time. But, we still haven't defined how the initial thought of bending the finger was generated—to do such would guarantee us the Nobel Prize. Anyway, somewhere along the line we have to make a decision of when we can say that we have provided enough information to solve the problem. Hence, we make a generalization and, by definition, we have created a heuristic. An algorithm is any step-by-step solution. Since math education is concerned with deriving rigorously exact and accurate solutions, then the solutions to mathematical problems are, by their very nature, finite. Thus, we can solve any math problem with a finite number of steps and in doing so we establish a need for the algorithm. Instant solutions to math problems: look over the various links on the home page until you find a topic that seems to describe the math problem you're working on. Select a link then another and you will be presented with a blank form into which you can type your math problem for Webmath to solve.
Animated Solution to Singapore Math Problem
On the other hand, if you are not just looking for simple solutions to your math problems but you also need someone to explain you all the answers you must find out that there are some very effective websites that provide this kind of help. On these special websites you can actually chat live with math experts that will know how to clear all your issues in an academic yet understandable manner. These specialists in the field can literally answer all your questions and the best part is that everything is free. | 677.169 | 1 |
Wikipedia in English
Calculate this: Trigonometry just got a lot easier to learn! Now anyone with an interest in basic, practical trigonometry can master it - without formal training, unlimited time, or a genius IQ. In "Trigonometry Demystified", best-selling author Stan Gibilisco provides a fun, effective, and totally painless way to learn the fundamentals and general concepts of trigonometry. With "Trigonometry Demystified" you master the subject one simple step at a time - at your own speed.Unlike most books on trigonometry, this book uses prose and illustrations to describe the concepts where others leave you pondering abstract symbology. This unique self-teaching guide offers questions at the end of each chapter and section to pinpoint weaknesses, and a 100-question final exam to reinforce the entire book. Simple enough for beginners but challenging enough for professional enrichment, "Trigonometry Demystified" is your direct route to learning or brushing up on trigonometry. You can learn all aspects of trigonometry: how angles are expressed; the relationships between angles and distances; calculating distances based on parallax; coordinate systems and navigation; and much more!
(retrieved from Amazon Thu, 12 Mar 2015 18:20:43 -0400)
▾Library descriptions
Presents an introduction to trigonometry, providing simplified explanations of such topics as mapping, functions, vectors, the unit-circle paradigm, and polar coordinates, with quizzes at the end of each chapter, along with answers and explanations. | 677.169 | 1 |
Math Mechanixs
Turn your computer into a math problem-solving machine
Math Mechanixs is a tool that students, teachers, and researchers specialized in mathematics can use to get the most out of their computer and solve all kinds of math problems.
The app is based on a mathematics editor (instead of the usual text editor), which is why you can write any kind of numeric expression similar to how you would write it out by hand. Additionally, it allows you to have several documents open at the same time, allowing you to work simultaneously on all of them.
What is very interesting is the ability to plot complicated graphs in two and three dimensions. While the process isn't very simple, you will have a tutorial available so you can learn how to do in a relatively short amount of time.
Math Mechanixs is an excellent option for beginners in mathematics who will find complete support with each of its multiple features. | 677.169 | 1 |
Description
This Student Solutions Manual is designed to: Make your life easier when it's time for homework, quizzes, and test preparation. Each chapter has: *Strategies for solving problems *Completely worked-out solutions to all odd-numbered exercises, review sections, True-False quizzes, and the problem-solving sections, and to all the exercises in the Concept Checks from your text.
Stewart continues to set the standard for the course while adding carefully revised content. The patient explanations, superb exercises, focus on problem solving, and carefully graded problem sets that have made Stewart's texts best-sellers continue to provide a strong foundation for the Seventh Edition. From the most unprepared student to the most mathematically gifted, Stewart's writing and presentation serve to enhance understanding and build confidence.
James Stewart received his M.S. from Stanford University and his Ph.D. from the University of Toronto. He did research at the University of London and was influenced by the famous mathematician George Polya at Stanford University | 677.169 | 1 |
2016 This course develops the techniques and theory needed to solve and classify systems of linear equations. Solution techniques include row operations, Gaussian elimination, and matrix algebra. Investigates the properties of vectors in two and three dimensions, leading to the notion of an abstract vector space. Vector space and matrix theory are presented including topics such as inner products, norms, orthogonality, eigenvalues, eigenspaces, and linear transformations. Selected applications of linear algebra are included. (CSU, UC) | 677.169 | 1 |
Mathematics
At a glance
Course title Mathematics
Entry Requirement Level 5 in GCSE maths
Exam board Edexcel
Why study Mathematics?
Mathematics is a successful and popular choice in the sixth form. It is a challenging subject which offers a great deal of enjoyment and satisfaction, whilst offering useful support for a range of other A Levels. All further courses and careers welcome Mathematics A Level in combination with other subjects. Employers actively look for A Level Mathematics as it is such a desirable qualification. It is essential to have Mathematics A Level when progressing on to study many of the sciences, engineering, computing and mathematics at university.
Course content
Students will study pure, statistics and mechanics mathematics. There are two papers that are taken after the end of Year 1. Paper One covers pure mathematics and Paper Two covers statistics and mechanics. At the end of year two, students will take three exams, testing all of the topics in more depth. | 677.169 | 1 |
Algebra: Abstract and Concrete
This text provides a thorough introduction to "modern" or "abstract" algebra at a level suitable forupper-level undergraduates and beginning graduate students. The book addresses the conventional topics: groups, rings, fields, and linear algebra, with symmetry as a unifying theme.
The most important goal of this book is to engage students in the active practice of mathematics. Students are given the opportunity to participate and investigate, starting on the first page. Exercises are plentiful, and working exercises should be the heart of the course. | 677.169 | 1 |
(back cover) Barron's Review Course Series Let's Review: Integrated Algebra An ideal companion to high school math textbooks, this new book covers all required Integrated Algebra topics prescribed by the New York State Board of Regents. For Students: Easy-to-follow topic summaries designed for rapid learning Step-by-step demonstration examples Thorough preparation for classroom and Algebra Regents examinations Many practice exercises with answers Graphing calculator approaches For Teachers: A valuable lesson planning aid A helpful sources of practice, homework, and test questions
Let s Review Algebra II has been writing in one form or another for most of life. You can find so many inspiration from Let s Review Algebra II also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Let s Review Algebra II book for freeBarron's Regents Exams and Answers: Algebra 2/Trigonometry can also be purchased as part of a two-book set with Barron's Let's Review: Algebra 2/Trigonometry at a savings of $2.99 if books are purchased separately.
This textbook provides an introduction to abstract algebra for advanced undergraduate students. Based on the authors' lecture notes at the Department of Mathematics, National Chung Cheng University of Taiwan, it begins with a description of the algebraic structures of the ring and field of rational numbers. Abstract groups are then introduced. Technical results such as Lagrange's Theorem and Sylow's Theorems follow as applications of group theory. Ring theory forms the second part of abstract algebra, with the ring of polynomials and the matrix ring as basic examples. The general theory of ideals as well as maximal ideals in the rings of polynomials over the rational numbers are also discussed. The final part of the book focuses on field theory, field extensions and then Galois theory to illustrate the correspondence between the Galois groups and field extensions. This textbook is more accessible and less ambitious than most existing books covering the same subject. Readers will also find the pedagogical material very useful in enhancing the teaching and learning of abstract algebra.
Over the last few decades, linear algebra has become more relevant than ever. Applications have increased not only in quantity but also in diversity, with linear systems being used to solve problems in chemistry, engineering, economics, nutrition, urban planning, and more. DeFranza and Gagliardi introduce students to the topic in a clear, engaging, and easy-to-follow manner. Topics are developed fully before moving on to the next through a series of natural connections. The result is a solid introduction to linear algebra for undergraduates' first course.
Elementary Linear Algebra reviews the elementary foundations of linear algebra in a student-oriented, highly readable way. The many examples and large number and variety of exercises in each section help the student learn and understand the material. The instructor is also given flexibility by allowing the presentation of a traditional introductory linear algebra course with varying emphasis on applications or numerical considerations. In addition, the instructor can tailor coverage of several topics. Comprised of six chapters, this book first discusses Gaussian elimination and the algebra of matrices. Applications are interspersed throughout, and the problem of solving AX = B, where A is square and invertible, is tackled. The reader is then introduced to vector spaces and subspaces, linear independences, and dimension, along with rank, determinants, and the concept of inner product spaces. The final chapter deals with various topics that highlight the interaction between linear algebra and all the other branches of mathematics, including function theory, analysis, and the singular value decomposition and generalized inverses. This monograph will be a useful resource for practitioners, instructors, and students taking elementary linear algebra.
This second volume of Featured Reviews makes available special detailed reviews of some of the most important mathematical articles and books published from 1997 through 1999. Also included are excellent reviews of several classic books and articles published prior to 1970. Among those reviews, for example, are the following: Homological Algebra by Henri Cartan and Samuel Eilenberg, reviewed by G. Hochschild; Faisceaux algebriques coherents by Jean-Pierre Serre, reviewed by C. Chevalley; and On the Theory of General Partial Differential Operators by Lars Hormander, reviewed by J. L. Lions. In particular, those seeking information on current developments outside their own area of expertise will find the volume very useful. By identifying some of the best publications, papers, and books that have had or are expected to have a significant impact in applied and pure mathematics, this volume will serve as a comprehensive guide to important new research across all fields covered by MR.
Abstract Algebra: An Introduction is set apart by its thematic development and organization. The chapters are organized around two themes: arithmetic and congruence. Each theme is developed first for the integers, then for polynomials, and finally for rings and groups. This enables students to see where many abstract concepts come from, why they are important, and how they relate to one another. New to this edition is a groups first option that enables those who prefer to cover groups before rings to do so easily. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
Presents an instruction and study guide for the New Jersey ASK8 mathematics test, providing review in geometry, probability, algebra, and statistics, and includes two practice tests with answers and explanations.
Algebra II Power Pack has been writing in one form or another for most of life. You can find so many inspiration from Algebra II Power Pack also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Algebra II Power Pack book for free.
A First Course in Linear Algebra is written by two experts from algebra who have more than 20 years of experience in algebra, linear algebra and number theory. It prepares students with no background in Linear Algebra. Students, after mastering the materials in this textbook, can already understand any Linear Algebra used in more advanced books and research papers in Mathematics or in other scientific disciplines. This book provides a solid foundation for the theory dealing with finite dimensional vector spaces. It explains in details the relation between linear transformations and matrices. One may thus use different viewpoints to manipulate a matrix instead of a one-sided approach. Although most of the examples are for real and complex matrices, a vector space over a general field is briefly discussed. Several optional sections are devoted to applications to demonstrate the power of Linear Algebra. | 677.169 | 1 |
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11.0: Prelude to Parametric Equations and Polar Coordinates
The chambered nautilus is a fascinating creature. This animal feeds on hermit crabs, fish, and other crustaceans. It has a hard outer shell with many chambers connected in a spiral fashion, and it can retract into its shell to avoid predators. When part of the shell is cut away, a perfect spiral is revealed, with chambers inside that are somewhat similar to growth rings in a tree.
Figure 1: The chambered nautilus is a marine animal that lives in the tropical Pacific Ocean. Scientists think they have existed mostly unchanged for about 500 million years.(credit: modification of work by Jitze Couperus, Flickr)
The mathematical function that describes a spiral can be expressed using rectangular (or Cartesian) coordinates. However, if we change our coordinate system to something that works a bit better with circular patterns, the function becomes much simpler to describe. The polar coordinate system is well suited for describing curves of this type. How can we use this coordinate system to describe spirals and other radial figures?
In this chapter we also study parametric equations, which give us a convenient way to describe curves, or to study the position of a particle or object in two dimensions as a function of time. We will use parametric equations and polar coordinates for describing many topics later in this text | 677.169 | 1 |
Course Notes
When I enrolled in college, my placement scores allowed me to skip college algebra. I decided to take it anyway because it had been several years, and I was sure I was rusty. I'm so glad that I took it. I'm currently studying calculus and analytical geometry, and I gotta tell you. If you're taking algebra, don't slack. If you do you will seriously regret it when you get to calculus. You can breeze through pre-calculus and trigonometry without being an algebra ninja, but not with calculus. It's just like my calculus professor said–the hardest part about calculus is algebra. You'll repeatedly use algebraic techniques that you thought you would never see again. The slope formula? That thing will beat you silly the first week in calculus if you don't learn it now. In calculus, you will literally use everything you even just glanced at in algebra. Furthermore, your calculus professor will be disappointed that you didn't see more things in algebra.
I don't have a lot of advice for students taking algebra, but following are some of my thoughts. I'm sure your professor will drill it into you, but I should probably say it too… good note taking and practice are the key.
Modelling
Modelling problems, otherwise called "application problems" or "word problems" are often the most difficult part of mathematics for most students. It takes me more time to solve a modelling problem than it takes to solve other problems, in fact, I would even say that modelling problems are more difficult than other problems. However, where I differ from a lot of math students is the attitude I have toward them. I like them. I find them challenging. To me, they're puzzles, and I love solving puzzles. There is a very real benefit to doing modelling problems and that is that it takes all that abstract mathematics and turns it into real, useful, tools.
Most of the modelling problems encountered in college algebra involve geometry, interest calculation, mixtures, uniform motion, rate of work done, or proportions. My suggestion is that you try to figure out a general procedure for each different type of problem. Some of these procedures involve the applications of formulas. For example, for simple interest calculations we use the formula I = prt (interest = principal * rate * time) and for uniform motion we use d = rt (distance = rate * time). For other types of modelling problems, you can learn specific tactics that make it easier to solve any problem of that type. For example, draw the problem if it involves geometry, and for mixtures; make a table. The takeaway here, is that general solutions/equations/procedures are extremely helpful when you're ready to solve specific instances.
Absolute Value Equations and Inequalities
I've always had trouble with absolute value equations and inequalities, and so I think do a lot of other people. I try to remember the specific procedures, for example; |x| = a means x = a or x = -a, but come test time, I end up confused and unable to remember the procedures. The only thing that saves me is to think logically about a given case. It often helps me to draw a number line and then mark it up with interval notation and arrows to show the values that x can take.
When working with absolute value, it helps me to think of it as distance. For example |x – 3| is just the distance between x and 3. Distance is always positive–just like absolute value. If given the problem |x – 3| < 9, I would start by drawing a line with an arrow at each end (my number line). I know that the distance between x and 3 is less than 9, so I mark a spot for 3, a spot 9 units to the left of 3, and 9 units to the right of 3. I know that x must be between those outer two points in order for it to be within 9 units of 3. Then my answer is simply 3 – 9 < x < 3 + 9 or -6 < x < 12. What is |x|, you may ask? Well, it's just the distance between x and zero.
Your Calculator
Your calculator is your best friend. Learn it well. Your calculator will save your life repeatedly when you're in the midst of battling an exam… assuming you've learned how to use it. You must learn how to graph functions and use the trace and intersection features. This will allow you to double check your algebraic work as you go along. You also need to know how to enter an equation and then use the table and VAR features to try different values for x. These skills are guaranteed to save your ass and to save you time in the long run.
I took ENC 1102 last semester, and finally, here are my thoughts on it.
ENC 1102 is the study of three forms of literature–short stories, poetry, and drama (plays). This course involves the critical analysis of various members of the aforementioned forms of literature. You have to really think about what you're reading, break it down, analyze it, why this symbolism, why that allusion, and so on. I had to write one research paper during the course, and I chose William Faulkner's "A Rose for Emily."
One aspect of literary analysis that I'm not too fond of is the emphasis on interpretation. For any given classic, there seem to be hundreds of interpretations about the grander meaning or purpose of the work. One person says it's about the idiocy of the North during the civil war, another says it's about the silliness of the South during the civil war, another says it's about the emergence of feminism, and so on and on and on. What if it was just meant to be an interesting story? Huh? Did you think about that possibility? What if the writer never harbored a hidden agenda that can only be teased out after months of speculation and tripping to conclusions?
As for reading drama, I don't have too much to say about it–it's just like watching the play in your head. After watching videos of the same plays, I realized that I enjoy the versions in my head better. During this course, I studied Hamlet for the first time, and after getting past the esoteric language, I actually enjoyed it and found moments that made me grin. The favorite play that I studied in this course would have to be Oscar Wilde's The Importance of Being Earnest. Talk about LMAOing all over the floor…
What I'm about to say now may anger you and cause you to think condescendingly of me from hereon. This is particularly true if your major is literary in nature. Irregardless… just kidding. Regardless of how your opinion of my digital persona may change, the following things need to be said.
I'll start in soft and easy…
To me, the purpose of writing is to convey information in an interesting manner. The best writers, then, are the ones that write unambiguously, and interestingly. It is quite the opposite with poetry. Petals on a wet, black bough? Bitch puhleeze! It takes a lot of effort for me to "understand" a poem, and even then, I can't be sure that my interpretation is what the poet intended. I know that poetry is supposed to evoke emotion, but in me, the only evoked emotion is that of extreme irritation at the writer's apparent inability to convey information in a clear and interesting manner. Poetry seems to be nothing more than a collection of vague verbal stimuli directed toward those that tend to find patterns in random nonsense. As such, it is more a verbal Rorschach Test than anything else. The fact is, ENC 1102 did nothing to mollify my unabashed hatred of poetry. I accept that I am missing out on a part of human experience that is important to many people, but that's okay. I've come to terms with my condition.</end rant>
The only tip I really have, if you're taking this course, is; if it's a classic, and it tells a story; watch the movie.
P.S. Depending on your professor, you better wield your MLA with some serious skill (FYI: that last part included something called "alliteration." You'll learn all about that in ENC 1102).
Periodically, after completing a college course, I will publish some of my thoughts on the course. Hopefully, somehow, somewhere, they will help another undergraduate. This is one of those posts.
……………………….
To tell you the truth, when I registered for this course at my college, I didn't expect to learn a lot from it. I considered myself a fairly good writer already, and no "beginner" writing course could possibly improve that. Could it? I registered for the course because it is a required undergraduate course for my school. Furthermore, it seemed like it would be an easy course–the perfect way to ease myself into college studies.
ENC 1101 focuses on grammar, MLA, and essay writing. The three required essays probably gives most college students the shivers, but with my enjoyment of writing, I approached them with little trepidation. It did turn out to be a pretty easy course for me; however, contrary to my initial thoughts, I learned quite a bit from it.
The most valuable thing I learned from this course is that commas are not to be sprinkled willy-nilly among the words. I had always approached comma usage at an intuitive level. To judge whether or not a comma was needed, I would simply insert it to see if it sounds right–clauses be damned. What I learned is that even something as seemingly nebulous as grammar, a subject with which I tended to rely solely on intuition, is governed by rules. To excel at grammar, those rules simply need to be learned.
By learning about the different types of clauses and the proper construction of compound and complex sentences, I now proof my essays in a much more systematic manner. Instead of simply reading it and trying to figure out if it sounds right, I now pick the clauses apart. Instead of making essay-writing more complicated, it's actually made it easier. No more vacillating on whether or not a sentence needs a comma–just identify the clauses and apply the rules.
ENC 1101 was also my first exposure to the vast array of written resources available to college students. Prior to this, if I wanted to read a research paper, I was usually hit with a pay-wall. Now, I simply log in to my college's library and access the paper through one of the hundreds of academic databases that my school is subscribed to. It's amazing!
Learning how to properly document and cite (MLA) research sources is another important aspect of this course. I've learned that many professors are quite strict (read anal) about proper documentation. Not that it's unimportant. It really is important. Plagiarism is despicable even if professors uses scare tactics to drill it into you.
TIPS
So, here are some tips that oozed out of the goo within my skull while I was taking ENC 1101:
Essay writing, particularly if you're being scored by a college professor in a low-level writing course, is not art. This is not the time to be too experimental with your writing. It is commonly accepted by such professors that an essay requires three parts; introduction, body paragraphs, and conclusion. Furthermore, the introduction must contain an obvious thesis sentence, and all body paragraphs must have obvious topic sentences. Deviation from this structure is punishable by B's and C's. It gets worse. Sentences must be complete, and they may not be run on to each other. All of these rules may seem arbitrary but if you follow them, your professor will smile lovingly upon you. The good news is that all these rules can actually make it easier to write essays. Instead of blindly following your intuition, you now have checklists and precise recipes to follow. Personally, I feel that a carefully constructed essay reads contrived. My professor probably didn't care what it made me feel like.
Improve your writing by writing a lot and striving to always use impeccable grammar.
How to analyze your own essay:
Take a mental step back when you're reading it. Pretend that someone else wrote it. How would you grade it? Why?
Read it quickly. Does it flow? Is it alive? (If it's alive, forward it to scientists. A living essay must surely be an unusual and wondrous species.)
Read it slowly and analyze it–first by paragraph, then by sentence, and then by clause.
Sometimes when I write, I feel what I want to say, but the words just don't flow from my head. In those cases, it often helps me to make it more personal. What words would I use if I was actually experiencing these things that I am trying to write about? Sometimes, it helps to change the setting. By picking the theme/subject out of the paragraph and throwing it into the midst of fighting spider-people on some alien planet, the right words might suddenly come to me. | 677.169 | 1 |
Graphs of Polynomials Vocabulary Word Wall Cards
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Product Description
Use this set of vocabulary word wall cards during any unit when polynomial graph associated vocabulary will be helpful for students to know.
This product also includes a vocabulary knowledge rating assessment and student vocabulary sheet with answer key.
Display word wall cards on a bulletin board or other designated wall space in the classroom. Point to the cards and refer to them during your discussions, lectures and one on one help sessions with students.
These cards can also be printed with multiple cards to a page and used as mini vocabulary booklets or glued into INBs for students to reference.
Word cards included:
polynomial
term
degree
leading term
leading coefficient
flex point
relative maximum
relative minimum
end behavior
zeros of a polynomial
multiplicity | 677.169 | 1 |
Resources
"The exertion of the mind...is the most strenuous and exacting work of all."
Hugh Nibley
How to survive a math or statistics class
Lightly revised on 2012-04-20
(Note: This is a work in progress. I haven't finished hacking—I mean—writing this document yet. If you have found something that helps you succeed in your coursework that's not listed here, or if you face a challenge for which the following does not help you, please email me at brownd@byui.edu so that we can discuss it.)
Much of the following is expressed in terms of math classes, but it all applies directly to statistics classes, as well as classes in other disciplines. I used to teach a study-skills-for-math course. Much of what follows is inspired by material from that course. The rest is inspired by my own considerable experience as a student of mathematics and statistics, and by things I've learned from working with students.
Not everyone will benefit from every tip listed here, but most people will benefit from most of them. They take time to implement. For a three-credit math class, most students find they have to spend an hour or two (or more!) outside of class each day on math, five to six days a week. (Yes, this is more than the usual "two-hours-out-of-class-for-every-hour-in-class.") If it turns out you need that kind of time but can't make that kind of commitment, look at adjusting your plans or letting go of something that you're doing.
Basics
The importance of basic things like good nutrition, adequate sleep and attention to spiritual matters cannot be overemphasized. Praying regularly, studying the scriptures, attending church meetings, magnifying your calling, keeping the commandments, and so on, clear your mind, make you a fit dwelling place for the Holy Ghost, and help you balance the use of your time. These things form much of the basis for success in all aspects of your life. They also increase your sense of well-being, your self-confidence, and your hope---something we all need when facing those tough math problems! I'll assume you're already doing all these things effectively. If not, then you need to make appropriate changes in your way of life, starting right now. Get appropriate help from knowledgable and authoritative sources, when necessary or desirable.
You will also find that it takes a great deal of discipline to inculcate good study habits in general, and good mathematical habits in particular. STAY WITH IT! I've known students to drop or fail the same course three and four semesters in a row. Usually, the main reason for not progressing is failure to persevere.
Emotional issues
Many students carry negative emotional baggage where mathematics is concerned. This baggage interferes with learning math. Sometimes, merely talking over bad memories with a trusted confidant is enough to relieve this burden. Some students benefit from writing about their bad experiences. Others actually need professional help, such as is available in the Counseling Center. Professional help may be especially needed if the student's emotional difficulties with mathematics are connected with deeper issues, such as chronic illness, poor self-image, depression, learning disabilities, abuse, or many other things we could name. In any case, fasting and prayer are always appropriate tools for working through emotional difficulties.
Schedule time for Math each day
[The whys and how-tos will appear here some day, but refer to the section of this document entitled "Basics."]
How to read a Math book
Read the text before going to class. Connect what you read in each paragraph with what you read in other paragraphs. Sometimes in math or stats books, a concept is named or otherwise introduced before it is explained. So, sometimes you need to keep reading to understand a given sentence. Make an outline of the material you read. (Outlining helps more than highlighting because it engages more of your brain.) As you read, work the examples in the text; don't just read them. Make a list of questions to ask your instructor or your tutor (but wait to ask until the material has been covered in class.) Make a glossary of vocabulary words and their definitions, with examples for each. Read the material again, as soon after going to class as possible, and compare what's in the text with what's in your notes from class (see "Attending Class," below), double-checking your glossary to make what you've put there is correct.
Try making vocabulary flash cards for memorizing vocabulary, and practice reading and writing sentences that use the vocabulary correctly. (If you find yourself using pronouns a lot while talking about mathematical or statistical concepts, try substituting the correct technical terms. If you can't, it probably means you don't understand the vocabulary yet.) Create your own examples of things defined in the material you're reading, (writing down the reasons why your example fits the definition) and ask a fellow-student, tutor, or your instructor to check your work. If you find the text just too hard to read, even after honestly trying, day after day, for a few weeks, look for another text that covers the same material. Try the library, your roommates, friends and family members. Also, there are some very good materials on the Internet. (There are also some very bad materials, and different authors may take different approaches. If you study math or stats on the Internet, try to find reputable websites. And check what you're learning there with fellow-students, your tutor, or your instructor, especially if it seems different than what you're learning in class.)
NOTE: Whether you get use certain suggestions in the next few sections may depend on your instructor's policies. Make sure you "follow the rules," so to speak.
Attending class
Attend class faithfully and punctually. If you're late for class, you're late---it's not the worst thing that could happen. Attend anyway, unless your instructor tells you otherwise. Take notes, however minimal, making sure you write the day's date and some words indicating what the notes are about. At the very least, you should write down any announcements your instructor makes. Do not hesitate to ask for clarification of unclear announcements. As course material is presented, you need to write at least enough so that you will be able to tell what was covered that day. You may not need to write everything your instructor writes on the board (or projects on a screen), but you may need to write things that your instructor does not write on the board! Always listen for the still, small voice during class. Often, this voice will tell you things that should be in your notes that no mortal in the room will ever think of telling you. These items can be the most important ones you write down that hour. And if notetaking isn't realistic, say, because you can't simultaneously concentrate on what you're writing AND what the instructor is saying, ask the instructor if you can copy their notes or have access to their PowerPoint slides, or whatever. You might also be able to work something out with a fellow-student.
At appropriate times during class, ask questions, including questions from the list you've made while reading the text. Try not to ask a question about material that has not been covered, unless it appears that the instructor has skipped the thing your question is about. Also recognize that questions about administrative matters (when is this due, what will the exam be like, when will we get our homework back, etc.) are usually most appropriate at the beginning or at the end of the class period. Depending on your instructor, it may be more appropriate to ask such questions by phone or by email. And some questions are best asked outside of class, especially if they concern you and no other student. And some questions---especially rude or sarcastic ones---are best left unasked!
Remember that the classroom constitutes a social context. Try making the best of that context for yourself, but also be sure to provide the best social context you can provide to the others in the room. All the ettiquette anyone's tried to teach you applies. St. Paul's description of charity in 1st Corinthians chapter 13 is very good advice for students in the classroom (and everywhere else!) Talking out of turn is ALWAYS a no-no, even if it's just to ask a fellow-student to repeat what the instructor said. Never make any disparaging comments about anything. In any case, everything that you say or ask in the classroom needs to be on topic and socially appropriate.
One of the biggest favors you can do for your fellow-students is to ask questions. I read somewhere that when one student has a question, typically about a thrid of the rest of the class has the same question. So go ahead and ask, unless the instructor has asked the class to hold their questions until further notice.
If you miss a class period, get notes from someone that takes notes (hopefully good ones!), but do not photocopy them. Copy them by hand, working through them just as you would your math text. This makes the material pass through your brain, whereas photocopying does not. As you copy the notes, try to understand what you're copying. If, after you've made an honest effort, you still don't understand, ask the person whose notes you have borrowed. There's a pretty good chance they'll be able to recall the context of the unclear item and to tell you what they were thinking when they wrote what they wrote. Often, that's all you'll need to be able to figure it out. But if that doesn't help, ask your instructor, a tutor, another fellow-student, or some other knowledgeable person.
After class
As soon after class as you can manage, read the notes you took in class and compare them with the relevant material in the text, noting similarities and differences between the material as presented in class and the material as presented in the text. Sometimes, your instructor will intentionally skip material in the text, present material not in the text, or tell you to do something differently than the way it's done in the text. Make sure you make note of these things, so as to save yourself trouble later.
At this point, you've been exposed to the course material three times already, have gotten answers to many of your questions, and have seen examples worked by others and tried some yourself—all before you even try the homework! Students who follow this plan find that their homework is easier for them (and they finish it more quickly), they get more out of class and homework, and studying for exams is easier. All these are signs that they're having more success mastering math!
Homework
Procrastination kills more grades than anything else, so get right to work as soon after you get an assignment as you can. (But make sure you've covered the material first, either by yourself or with the class, or preferably both.) You may need to work lots of exercises. If your instructor does not assign very many problems, you may need to work extra ones, just to solidify your understanding and help you gain confidence with the concepts and methods being used.
Spend more of your time and effort on problems that are hard for you than on the ones that are easy. After all, harder problems are usually harder because you have not yet figured out everything you need to. You'll have a better chance of figuring it all out by working on problems that address those things than by working on other problems.
Many students find that they don't understand exercises, problems, or questions they read. Often, this is because they need to (1) pay attention to the grammar, (2) make sure they have internalized every word and every symbol, and (3) make sure they actually understand the vocabulary. There is no shame in picking up a dictionary or referring to the text or the glossary you're keeping. There is no shame in asking questions about the meanings of the things you read. And there's no shame in asking about the grammar. (In fact, pretty much anybody would benefit from reviewing grammar from time to time.)
If you find yourself skipping over words, symbols, or technical terms while reading, there's a good chance you haven't yet figured out what those words or symbols or phrases mean. This suggests a course of action: Go figure them out, ask questions, get help, etc.
As you work problems, ask yourself not only how to solve them but why they are solved in the way you are solving them. How do the principles apply that you've been learning in class? How does the author of the problem use vocabulary terms? Are you using the terms correctly yourself? If you see more than one way to solve a problem, compare the two methods, looking for advantages and disadvantages to each, comparing their complexity and difficulty and how the different methods use the same or different concepts. Stop yourself from time to time and look back over the problems you've done already. Look for patterns in the problems themselves, in the tools you've used to solve them, in the presence or absence of vocabulary terms, in the principles and concepts used and in anything else that may seem even remotely relevant. If you can't find any similarities or differences, talk to a fellow student, your instructor, your tutor or any knowledgeable person. They may be able to shed some light on things for you. And even if they can't, sometimes just discussing math with someone else can enable your brain to make connections it couldn't make otherwise.
Also look back and make sure you've done the right problems for the assignment, and that you've completed them all. Make sure you've followed all instructions. If you can't finish the assignment on time, discuss it with your instructor. Even if they don't allow you to turn your assignment in late, they may have ideas about how you can find more success.
If at first you don't succeed. . .
Bear in mind that you can learn a great deal by trying to solve a problem and not succeeding. Sometimes, trying to solve a problem in a certain way, then finding that it doesn't work, can help you understand the bounds and limitations on a mathematical principle, tool, or method. It can also shed light on some concept that was less clear to you before. It can also suggest to you some other approach that may be more appropriate for the problem you're working on.
Beyond assigned homework
Keep studying your notes and the text, and keep working problems until you feel comfortable with the what, the how and the why of the topic at hand. If you get to the point that you can explain it more or less clearly and fluently to someone else, chances are pretty good that you understand it yourself. Then try again a week or two later and see whether you can still explain it. If not, well, you know what to study!
Studying for a math or statistics test
Contrary to popular belief, you can start studying for an exam long before you find out what's going to be on it. Most exams will mostly cover whatever your instructor has been covering in class since the last exam. This means that reading the text, going to class, taking notes and studying them, and doing the homework are all part of preparing for an exam. It also helps to write your own review of the material, rather than depending on the canned reviews you find at the end of the chapters in your math book, or even that your instructor may give you. Also, most people benefit from working extra problems. In fact, you'll benefit more from working additional problems than from going over problems you've already done.
One very important part of studying for a math or stats test that most students overlook is to truly learn the vocabulary. Like any other discipline, math and statsitics have their own jargon, which must be learned. If nothing else, knowing the vocabulary will help you understand the problems you've been asked to solve. It will also help you "get into the mindset" of mathematical or statistical thinking, which will help you solve problems. Often, translating directly from English (or whatever language) into math will, by itself, show you how to solve the problem you're working on. Then, when it's time to write out your solution, using the vocabulary correctly increases the chances of communicating clearly and correctly with your instructor. This is very helpful at any time, but especially so on exams! Confidence with the vocabulary supports confidence in pretty much all other aspects of your mathematical or statistical efforts. This translates directly to less stress before and during exams.
To learn the vocabulary, start by creating your personal glossary of math terms as you read the text. Be sure you write down the correct technical definition of each term, and at least one example. You can add an informal description of the term's meaning if it helps you, as long as the informal description agrees closely with the formal definition. (If you have trouble with this, feel free to ask a tutor, a classmate, or your instructor for help.) Practice reading (and understanding) sentences in which the vocabulary terms are used correctly. Get together with some fellow-students and quiz each other on vocabulary. Make flash cards with the term on one side of the card and the meaning of the term on the other. You can schedule time for studying your flash cards, but you can also use them for studying during odd moments when you have a little time, like when you're waiting for your ride or whatever.
[I'll add more to this when I have a chance, but if you only do what I've written above, you'll have gone a long way toward being ready for your exam.]
Preparing for the final exam
[Watch this space! Meanwhile, please note that all the stuff on preparing for exams is relevant here.]
Taking a Test
[Coming someday to a website near you!]
Study groups
I tell my students that they should feel free to study together, but everything they turn in must be in their own words. Other teachers may have other opinions on this point, so check with your instructor before working with your classmates. In any case, study the material yourself before getting together with others or your tutor to study. This will make group study time much more effective and efficient. Some students tell me that their individual study is so ineffective that they go straight to their study group. These students may do well enough in a group setting, but often cannot fend for themselves.One of the reasons for this is clear: They haven't had adequate practice studying effectively by themselves. If this is you, please implement those tips you find on this webpage that seem likely to be helpful.Most colleges and universities hire people for the express purpose of helping individual students improve their study skills. Please use the available resources appropriately.
Tutors
If you think you'll need a tutor, get one early on, before a crisis develops. Tutoring can get you out of a bind temporarily, but tutoring is incapable of overcoming crises. (I learned this by tutoring for years as a graduate student.) If your personal study habits are good, then you'll get more out of tutoring than you would otherwise. Also have a list of issues or questions ready when you go to meet with your tutor. It'll make the appointment more productive. If, after a few sessions together, you feel that working with your tutor isn't working for you, don't hesitate to get a different tutor. You may have to advertise vigorously to find one, but it can be worth the effort.
Your instructor
Your instructor is an expert in the subject they're teaching you. They (presumably) have a great deal of knowledge, certainly more than your fellow-students or your tutor. They are an important resource for students. One of your instructor's jobs is to answer questions you may have. In my experience, most instructors are willing (if not happy) to do so. However, it is possible to abuse your instructor's willingness and obligations. You need to strike a balance between relying on yourself, your fellow-students and your tutor on the one hand, and your instructor on the other. Questions about administrative matters should always be directed to a person in authority, which is almost always your instructor, and not to other students or tutors. Questions about content, software, and the like need different handling.
When a student comes to me with a question about a topic, principle, vocabulary term, statistical or mathematical method, software, or what have you, I always appreciate them having first made an honest effort to develop their own understanding. Sometimes, an honest effort includes setting the thing aside and trying again later. Sometimes, it includes going back to the text and the notes over and over again, making sure you understand the vocabulary terms. Sometimes it includes taking one's questions to one's fellow-students or one's tutor first. Sometimes, there isn't time for any of that. As a rule, unless you instructor tells you otherwise, it's better to ask than to not ask. So ask your questions.
Now, if you go to your instructor with questions day after day after day, and if there's no indication that your ability to study by yourself is improving, you are probably wearing out your welcome. Also, you probably need a different kind of help than the help your instructor can give you. Ease off your instructor somewhat—at least for a while—and seek that help. Most colleges and universities have resources for helping students study more effectively and more efficiently. If honestly trying to do the things they suggest (and the things on this web page!) does not make a significant improvement in your success, please consider being tested for health or other conditions that might be impairing your ability to learn. (Frankly, for most students that find themselves in this situation, the real problem is a lack of confidence. This is not a strictly academic problem, and therefore doesn't fall strictly within your instructor's purview. Any college or university of any size will have someone who can help you with confidence and a host of other issues. Their title is often something like "counselor." Don't let that bother you. There's no shame in getting this kind of help.)
I've had students come to me with questions two and three and four times a week. If they've honestly done what they could to get their questions answered first, if their questions are substantial, and if I see evidence that they're actually learning (e.g., they don't ask the same question many times) then I'm happy to help. Of course, everyone has time constraints. The problem with being the instructor is that if a student doesn't get seomthing done then the student has a problem, whereas if the instructor doesn't get something done, then many students have a problem. So respect your instructor's time. Be prepared. Have a list of questions or other concerns. If any physical materials such as papers of textbooks are involved, have them right ready, so you don't use your instructor's time hunting for things you're pretty sure you put in your backpack. (Actually, this is good advice for any meeting with anyone!)
Hmm... The foregoing might sound discouraging to some. It's true that some instructors are more willing to help than others. But if you have legitimate questions and you've tried to get them answered, your instructor is obligated and usually willing to answer them, or at least to try to answer them. It's what we're here for, after all, we instructors: to help students. So don't be shy about it. Go ask your instructor your questions.
Technology
Technology presents its own set of challenges in a math or stats class. Tools used in such classes can range from paper and pencil, or compass and protractor, through calculators and desktop software, to distributed computing. Make sure you understand your instructor's expectations for your use of technology. Don't just do the minimum required by your teacher, being grateful you haven't had to do more. Practice using the technological tools your class uses until you feel confident in using the tools, in troubleshooting your own minor technological problems, and in interpreting the results that the tools give you. Practice figuring out how to do things on your own. Read any instructions that come with your technology, including online manuals. Learn how to care properly for your mathematical tools. As with all things, do not hesitate to ask questions about how the tools work, and how to use them.
Getting behind
No one likes to think about it, but most of us get behind at some point. When a student finds they have too much to do, their math or stats class is usually the first thing to be sacrificed. The problem is that such classes are ususally the hardest ones in which to get caught up. If you find yourself falling behind, don't promise yourself for weeks that you'll get caught up. Go to your instructor at the first sign of falling behind. Make sure you understand how they handle things like late work or missed quizzes or exams, or whatever's relevant. Many instructors will sympathize to some degree but not allow anything to be turned in after it's due. If you wait to talk to them until you finally overcome your embarrassment and get around to it, you may find that you have missed too many deadlines to have any hope of passing the class. If you talk to them when you first start feeling things slipping, you'll be in a better position to prevent or avoid such undesirable consequences of falling behind. Of course, you'll need to prioritize and plan accordingly, but even if you have to make some sacrifices to get everything back in balance, you probably won't have a disaster on your hands.
If you're behind, you need to be honest with yourself about why you're behind, for two reasons: first, to have the best chance of fixing the problem so you can catch up; second, to help prevent or avoid getting behind in the future. Different reasons for getting behind often require dfferent treatment. Whatever your reason(s), catching up almost always requires that at some point, you will have a greater need for being organized than you usually do. Before saying anything about that, I'd like to take a look at some of the reasons for getting behind. The list won't be exhaustive, but it should serve to help you start thinking usefully about your own situation.
Problems with physical heath: [To be continued...]
Impairment of hearing or vision: [To be continued...]
Problems with mental, emotional, or social health: [To be continued...]
Lack of motivation: [To be continued...]
Problems with spiritual health: [To be continued...]
Having too much to do: [To be continued...]
Being disorganized: [To be continued...]
[I'll put more here when I get the chance.]
Getting caught up
The sooner you start working on getting caught up, the better off you'll be. Here's a list of steps to take. It's a rough draft and needs substantial editing, but at least it can get you started.
Examine the work you haven't done or finished and make a careful, thorough list of it all. At this point, you're just trying to identify all that needs doing; try not to worry about how you're going to get it all done.
Make sure you understand correctly your instructor's policies on missing or overdue work. A conversation about your individual situation needs to wait, however, until you've used the following steps to prepare for it.
Consider honestly the amount and kinds of help you need. Do you get slowed down by questions that go unanswered? Are you having organizational problems? Are you just discouraged? Think of every relevant thing you can. At this point, you're just identifying the help you need; don't worry about how to get it.
Try to identify sources of social and emotional support, if you feel you're going to need them. Symptoms that you will need such support include fear, hopelessness, feeling overwhelmed, etc. (Your instructor doesn't need to hear anything about this.)
Students that have been having more than the usual success are telling me it's all about simple things, like eating right, getting rest and physical activity, and giving a little more attention to their spirituality. So you might look into this, if you feel it's relevant. (Your instructor doesn't need to hear anything about this, either.)
Estimate how much time it will take you to do what needs doing, as realistically as possible. You'll refine this estimate later, when you have had some experience actually working your plan.
If it looks like catching up will take more time than you'll have, take a good, hard look at your priorities and consider cutting back somewhere (whether on quantity or quality). If you find you are unable to do so, it may mean that you need some of that social or emotional support. You be the judge. But if it really is impossible to get it all done, you have to let go of something.
Prayerfully set some initial goals for getting it all done, realizing that your goals may need adjusting at some point. Normally, I recommend keeping current on the current material and filling in what's overdue as you're able. However, there may be other factors, such as your instructor's policies, the timing of exams, and so on, that may make a different approach more realistic.
When you've done what you can about the above, go talk to your instructor, just as soon as you possibly can. Keep the conversation short. Tell your instructor exactly what needs to be made up, how you plan to get the help you need, and what your goals are for getting it all done. The fact that you've thought it all through will help your case. Of course, your instructor may see things differently than you, and can probably help you refine your estimates of the time required and other things. Be humble. Accept whatever counsel your instructor gives you (in righteousness, of course) and show a willingness to do what you can, when you can, and to "give and take," as the saying goes. Your instructor has had more experience in this sort of thing than you, after all. At the end of the conversation, make sure you and your instructor agree on what you'll be turning in, and when, and for how much credit, and on whether and how you will report your progress. This will help prevent future misunderstandings and their accompanying disappointments.
As you work on your goals, be sure to turn in materials when your instructor expects you to. If you find you can't finish things in time, you might try discussing with your instructor a more realistic set of goals. But do not abuse their good graces. It's better to turn in something incomplete than nothing at all (unless your instructor tells you otherwise). Report on your progress according to the plan you have made with your instructor. This sort of reporting is very important, and can make all the difference between success and failure. Don't worry about things like being embarrassed or looking like you're falling short in some way. Just report, regularly and often. Accountability is important, and reporting gives your instructor a chance to support you, as well.
Persevere. Keep up the good work, meet your goals as best you can and enjoy your new-found success.
Last words
If, after honestly trying you best to succeed in the course, you decide that you're in over your head, talk with your instructor, your adviser and your Heavenly Father about it. They are here to help you.
If none of my ideas work for you, ask someone else for advice. There are plenty of good ideas out there. Your college or university probably has some kind of study skills center or classes on how to study. These can be well worth the investment of time or other resources. And don't overlook the possibility that there may be something different about you, something the mainstream of education isn't designed to handle. The things I see most often are Attention Deficit Disorder and math anxiety. There is help for such things. You owe it to yourself to be humble enough to look into them, if there's reason to believe some such thing is relevant.
Above all, hang in there. Persistence prevails. And who knows—maybe you'll find out math isn't so bad, after all! | 677.169 | 1 |
Equation Review
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This page is a quick review over solving simple equations in a seventh or eighth grade math classroom. The five questions fit on a half sheet of paper to allow for an easy bellringer or homework assignment. Answer key provided. | 677.169 | 1 |
Re-learning math (books?)You might get more feedback if you ask this in the Academic Guidance or Career Guidance sections of this forum. I have looked in the Algebra for dummies before. My opinion is there is NO shortcut to becoming proficient in math. Unless you are a natural born mathematical genius with formulas and concepts inherent within your conscious brain circuitry, then you'll need to dedicate lots of time. You'll have to learn each and every math rule, as unimportant or insignificant as one may seem, you will need to know each one for later math levels because they all come into play, sometimes when you least expect it. You may want to start with school assigned official textbooks instead of Algebra for dummies, or express math. And from there, ask questions, seek tutoring, and search for alternate explanations. In regard to the book titles you mention, in my opinion, those types of titles usually imply a breif overview of the math, but not the nitty gritty. I could be wrong though in that there may be non official school approved textooks that are of great use, but you have to get feedback from those who have much more expertise than me. What I do feel confident in mentioning is that seeking to become a high school math teacher in a shortcut "express" fashion is setting yourself up for failure. Math actually becomes very enjoyable when you pace yourself and do not allow yourself to be rushed to such a degree that you have to skip comprehending concepts just to start the next section. Understanding how a formula was developed and learning to derive it myself continually increases my appreciation for math, pulls me in, and makes me want to spend more time learning it (as opposed to trying to memorize letters), which further increases my knowledge. And the same is true for many people. If anything, skip it and be sure to revisit it once you can. But keep in mind, you will soon realize you can't go too far beyond a topic without encountering it once again at a more advanced stage. So even if it takes 3 weeks to finally understand a sub-sub topic, then stick with it because you surely will not be able to understand further topics without understanding previous topics. Each formula builds upon previous concepts, rules, and formulas. Finally, in my opinion, you don't need to read books on how learners learn or "new" learners learn. That time would be better spend learning math by reading math and studying from math books. Good luck.
I am not a mathematical genious or going to school to be a math teacher. but here was my approach to relearning math. I got a college algebra and studied through it not really skimming but not really going in deep depth where I could do about 80 percent of the problems without looking back. then on to the next chapter. so that when I went to class I understood everything on a basic level and whenever something was explained I didn't know for sure before it was completely clear after lecture without much effort.
Google Paul's online math notes. I have used it for tutoring people wanting to learn those subjects (or relearn them). It goes from college algebra through differential equations. It is pretty solid, I think.Staff: Mentor
What's unique about his approach is he uses small frames where some fact is explained, a problem is presented and the answer appears immediately in the next frame, sometimes with the reasoning to go with it. His book is designed for self-study at whatever pace you need and is a good review of key concepts.
Well, so far i've been doing about the same, except i never really learned it more slept through the classes. BUT i have found some very helpful sources, like khanacademy and The complete idiots guide to algebra, now the latter is somewhat iffy as i havn't finished it. I can say though the author explains the reasoning behind the equations and the whys of what your doing. Its filled with corny jokes which dosn't really bother me and it gives a lighthearted mood to the book. The information in it is pretty good but i dont have anything to compare it to. I don't think its good on its own but combined with something else like khanacademy (which i have nothing bad to say about it is wonderful and anyone and everyone learning should go to it) it is efficient especially if you take notes.
This recommends the "Saxon math back-to-basics textbook" as the best resource, why not start there?
I mentioned the book because it uses a programmed learning approach that is excellent for people relearning math. The first half of the book covers high school and the second half first and second year college which as a high school teacher would be good know in case a student wants to know about making the next step into college level math.
** You'll have to learn each and every math rule, as unimportant or insignificant as one may seem,
** you will need to know each one for later math levels because they all come into play.
**
** "nitty gritty". I
** Math actually becomes very enjoyable when you pace yourself and do not allow yourself to be rushed to such a degree that you have to skip comprehending concepts just to start the next section.
**
** If anything, skip it and be sure to revisit it once you can. But keep in mind, you will soon realize you can't go too far beyond a topic without encountering it once again at a more advanced stage.
** So even if it takes 3 weeks to finally understand a sub-sub topic, then stick with it because you surely will not be able to understand further topics without understanding previous topics.
Good luck.
Really, you did help me alot, nice words
you make me stick more and more in my way to master, learning every detail and every derivation.
I picked up a book called "Manga guide to Linear Algebra" and found it really helpful. I know its dramatically different from the books already mentioned here, but I found it really helped me prepare for the class. Paul's notes is good too though.
Something that you may want to consider is signing up for a university math class but only take that one class for the semester. Go to lecture and anything that you are confused on, write down in your notes and look up later. Paul's Online Notes, Kahn Academy are all great. PatrickJMT on YouTube is incredible. It will be a lot of work (hence why I suggest only taking that one class), but if you keep at it, the concepts begin to stick like glue.
The process I described above really never stops though. Learning and improving is a constant process.
As far as good books for self study, apparently Euler's books on algebra are great (and from what I've read on Amazon's "book preview" feature, I agree). I want to buy them myself but they're a little too pricey. | 677.169 | 1 |
A complete and comprehensive course in calculus . Applications in the physical
and natural sciences are emphasized as well as the underlying theory and the
logical development of the material . Topics include limits, continuity, derivative
rules, maximum- mini- mum concavity, separable differential equations, area, and
the fundamental theorem. | 677.169 | 1 |
MATH 1142 -- Changes
New:
A
streamlined one-semester tour of differential and integral calculus in
one variable, and differential calculus in two variables. Does
not involve any trigonometry and does not have the same depth as Math
1271-1272. Emphasis on formulas and their interpretation and use
in applications.
Old:
Derivatives, integrals,
differential equations, partial derivatives, maxima/minima of functions
of several variables covered with less depth than full calculus. No
trigonometry.
Please explain briefly how this outcome will be addressed in the course. Give brief examples of class work related to the outcome.
Problem solving is at the heart of any mathematics course. In this
course some problems would involve purely mathematical issues, like
finding the derivative of a polynomial or determining the features of
the graph of a rational function. Other problems involve taking a real
world situation like predicting the trajectory of a projectile or
analyzing population growth and decline, requiring students to first
identify the mathematically relevant aspects, then define appropriate
mathematical variables and relations, and finally solve the resulting
mathematics problem.
How will you assess the students' learning related to this outcome? Give brief examples of how class work related to the outcome will be evaluated.
Practically every homework assignment, quiz, and exam requires students
to solve problems. Students receive ample feedback about this learning
outcome during the semester.
Old:
unselected
Requirement
this course fulfills:
New:
MATH
- MATH Mathematical Thinking
Old:Short
Calculus (Math 1142) introduces both differential and integral calculus
in a single semester, to meet the needs of students in business,
agriculture, and other similar fields where a basic understanding of
calculus is required. Calculus is one of the pillars of modern
mathematics, and it has important applications in science and everyday
life. The course requires students to have a real
understanding of the symbolic language of mathematics, giving them
ample opportunity to see how mathematics is done by mathematicians and
to engage in that same work by solving problems for themselves. In this
way, they see how abstract mathematical concepts can find applications
in the real world.
An important component of a liberal education is an appreciation of
mathematics as a body of thought which has been developed over the
millennia, both for aesthetic reasons and to solve concrete problems.
Calculus was first developed by Newton and Leibniz in the 17th
century to solve many types of problems. For example, using
calculus, Newton was able to derive the equations of planetary motion
from basic physical laws. Since that time, calculus has touched
virtually every part of modern life, through its use in areas like
engineering, the stock market, agriculture, psychology, and all the
physical and biological sciences. While it is beyond the scope of
a 1-semester course to cover even a small fraction of all these
applications, students will be exposed to a variety of simplified
versions of them, preparing them for later advanced study in their
fields of interest. In this way, students experience both the
fundamental nature of the questions and the usefulness of abstract
reasoning in finding elegant and efficient solutions.
Students meet twice a week in TA recitation sections, where they can
ask questions, work problems together, and discussion important points
in the material. The prerequisite for the course is equivalent to
3 1/2 years of high school mathematics. Math 1142 is offered
every semester. The course is taught by a combination of regular
faculty and adjunct faculty with on-going appointments, or by
experienced grad students or postdocs who act under close supervision
by regular faculty. Every semester, the final exam is a
departmental exam that is given in common to all sections, in order to
ensure consistency(The following is an actual syllabus which has been modified by including a Liberal Education statement)
Overview
This School of Mathematics course is a one-semester tour of
differential and integral calculus in one variable, and differential
calculus in two variables. Does not involve any trigonometry. Emphasis
on formulas and their interpretation and use in applications. 4
credits. 3 lectures, 2 recitations, and 2 peer-assisted learning (PAL)
sessions per week. This course does not serve as a prerequisite to any
higher math course, but does satisfy the CLE Mathematical Thinking
requirement. Credit for this course will
not be granted if credit has already been received for MATH 1271, MATH 1281, MATH 1371 or MATH 1571H. Textbook
Hoffman and Bradley, 2009, Applied Calculus for Business, Economics, and the Social and Life Sciences, 10th Ed.
Liberal Education: This course fulfills the Mathematical Thinking
component of the Liberal Education requirements at the University of
Minnesota. An important part of any liberal education is learning
to use abstract thinking and symbolic language to solve practical
problems. Calculus is one of the pillars of modern mathematical
thought, and has diverse applications essential to our complex world.
In this course, students will be exposed to theoretical concepts
at the heart of calculus and to numerous examples of real-world
applications.
Comprehensive Final Exam: Monday, May 10 2010,
1:30pm-4:30pm, in Room TBA
DIS 21 meets with teaching assistant (TA) James Kolles on Tuesdays and Thursdays from 2:30PM-3:20PM in Appleby Hall 103.
DIS 22 meets with teaching assistant (TA) Yongqiang Chen on Tuesdays and Thursdays from 2:30PM-3:20PM in Armory 202.
DIS 23 meets with teaching assistant (TA) James Kolles on Tuesdays and Thursdays from 3:35PM-4:25PM in Eddy Hall 102.
DIS 24 meets with teaching assistant (TA) Yongqiang Chen on Tuesdays and Thursdays from 3:35PM-4:25PM in Vincent 211.
All DIS sections meet with PAL facilitator (PF) Alicia Rue on Mondays and Wednesdays from 6:00PM-6:50PM in Walter Library.
Room locations sometimes change at the last minute. You can check the latest locations at
Course Prerequisites
To be successful in this course you should have completed at least
three and a half years of high school math, or obtained at least a
C- in Math 1031 or Math 1051 or the placement exam. It is crucial to
have strong algebra skills to be successful in this class. If you
have any questions about your placement in this course, talk to me.
Expectations
To be successful you must take an active role in your own instruction. You will be responsible for learning the material and for
getting help when you have questions. While in class you will be
expected to make a good faith effort to learn the course material,
follow directions, and exhibit behaviors that will improve your chances for success. These behaviors include:
� Showing up for every class on time and prepared.
� Completing all assigned homework on time and with complete worked-out solutions.
� Asking questions when you don't understand something.
� Getting help outside of class from the free tutors (see below).
� Studying and working on math outside of class every day, seven days a week.
Credits and Workload Expectations
At the UMN, each class hour is designed to correspond to an average learning effort of 3 hours/week necessary for an average
student to achieve a C in the course. So, an average student shooting
for a C (which is way too low a goal for a serious student)
taking Math 1142, which meets 5 hours/week, should expect to spend an additional 10 hours per week on coursework outside
the classroom. If math is a difficult subject for you or if you want to
get a grade higher than a C then you will have to spend more
hours on it. The time you spend on this course will have a great payoff later on.
Course Difficulty
Please note that the class title does not mean the class requires less
effort than other calculus classes. On the contrary, this class
moves at a faster pace than other calculus courses and covers a wider
range of topics, with the notable exception of trigonometry in
just one semester. We will cover almost all of the material in the textbook. Math 1142 has a high rate of non-completion
(withdrawals and failures) for several reasons:
1. The course material is difficult and gets more difficult as the semester progresses. While difficult, the material can be
learned by most people.
2. Some students enter the course without a solid knowledge of high school algebra, either because they never learned it well
or because they have forgotten large chunks of it. The appendix in the textbook is a good review of high school algebra
but that goes very fast and is intended as a quick reminder of what you should already know rather than an in-depth
treatment of the material.
3. Many students are not prepared for the large amount of work it will
take to learn all the material. It is important for you to
memorize many formulas and procedures, but even more importantly you must spend enough time so that you actually
understand the ideas and concepts which are the pieces that support the formulas and procedures.
4. The difficulty, level of abstraction, and expectations usually are much higher here at the U than in the high school.
Success in this course requires a commitment that goes far beyond memorizing and you'll need to practice working out
problems.
Lectures
The primary source of new material in this course will be the Monday-Wednesday-Friday classroom lectures. Lectures are
designed to impart knowledge to you and are quite theoretical in nature. Lectures are not purely example based but introduce you
to concepts and their role within the topic. Attending the lectures is
very important -- students who skip the lectures tend to fail the
course.
Discussion/Recitation Sessions
Each Tuesday and Thursday, you will attend a discussion session that is lead by a teaching assistant (TA). The TA will provide
many examples and applications of the topics discussed in the lectures.
The TA will answer your questions concerning the material
or the homework. Your TA will assign, grade, and return homeworks and quizzes. They will also keep a record of your progress in
the class and all queries about your grade should be addressed to them.
PAL Sessions
Each Monday and Wednesday, you will attend a Peer Assisted Learning (PAL) session where you will work with a PAL facilitator
(who is an undergraduate student) and your fellow students to actively solve problems using a structured approach. Most of the
problems you work on will be similar to exam problems in both content and level of difficulty. This is not a homework question
and answer session but a guided work session to help you internalize the process of solving mathematics problems.
Grading Policy lowest score on the four midterm exams will be replaced by the
final exam score (scale to be out of 100) if the lowest score is
less than the final score. In case a student has more than one exam with the same lowest score, the first exam score will be
replaced.
The midterms and the final will be common exams, graded in common. The exams will NOT be all multiple choice. The final
counts for 30% of the student's grade. Yes, the grading will be CURVED.
Generally, a student fails if his score is less than 1/2 the
best score in the class. Of course, just a little better than half does
not guarantee passing. The final grade for this course will be
computed as follows:
Quiz 10% Every Tuesday for 10 minutes during the recitation section covering the material covered until the
homework submitted that day.
Homework 10% To be handed in on Tuesdays at the beginning of the discussion section
Exam #1 12.5% In-class exam covering Chapters 1 and 2 on Friday February 19.
Exam #2 12.5% In-class exam covering Chapters 3 and 4 on Friday March 12.
Exam #3 12.5% In-class exam covering Chapters 5 and 6 on Friday April 16.
Exam #4 12.5% In-class exam covering Chapter 7 and all the previous material on Friday April 30.
Final exam 30% Exam covering the entire course on Monday May 10 from 1:30 to 4:30 in a room to be announced in
lecture and posted on the Web. The room will most likely NOT be our regular lecture room. If you
don�t know where to go on exam day call the School of Mathematics at 612-625-4848.
Letter grades will most likely be assigned as follows:
Grade Total Points
A = 4.00 96-100 Represents achievement that is outstanding relative to the level necessary to meet course
A- = 3.67 90 - 96 requirements.
B+ = 3.33 86-90 Represents achievement that is significantly above the level necessary to meet course
B = 3.00 83-86 requirements.
B- = 2.67 80 - 83
C+ = 2.33 76-80 Represents achievement that meets the course requirements in every respect.
C = 2.00 73-76
C- = 1.67 70 - 73
D+ = 1.33 68-70 Represents achievement that is worthy of credit even though it fails to meet fully the course
D = 1.00 65 - 68 requirements.
F = 0.00 0 - 65 Represents a failure to meet course requirements.
S = none 73 - 100 Represents satisfactory achievement, i.e., is equivalent to a 2.00.
N = 0.00 0 - 73 Represents a failure to meet course requirements.
You may get your grades or transcript by going to One Stop:
Homework Problems
Practicing the skills you learn in this course is of utmost importance. In order to be able to use mathematics you must become
automatic at doing symbolic manipulation, such as simplifying expressions, solving equations, and working with functions. Like
learning to dance, to play the piano, or to read, learning mathematics involves lots of memorization of what people before you
have discovered and then your practicing it until it becomes second
nature to you. As the problems become more difficult you will
have to perform basic operations and manipulations without even thinking. Doing mathematics is the only way you can learn it.
Homework is designed to get you to practice the skills and to help you
figure out what you need to spend more time on. Be sure to
do every assigned problem and compare your answer with the one in the back of your textbook or Student Solutions Manual. Do
many more than the assigned problems if you are having difficulty with a particular topic.
Writing and Turning in Homework Assignments: You must clearly write out the solution to each assigned problem and
CIRCLE YOUR ANSWER. You will be graded on your written solution and not only your answer so be sure to SHOW YOUR
WORK. You may write on both sides of the paper but don't try to cram too much writing into a small space-spread out your work
so it is easy to read and follow.
Be sure to put the papers in order and staple them in the upper left corner and write your name and your student ID in the upper
right corner of the first page of the packet of papers. It is very
important that you clearly identify it with both your name and your
Student ID on every piece of paper that you turn in so we can get it back to you correctly.
Homework Grading: To receive full credit for homework and exam problems, you must show the mathematical steps necessary
to solve the problems. Your written work is meant to "communicate" to us what you know about math, not just the answers, so
your work must be neat, organized, and complete. Each homework assignment will be worth a maximum of 10 points. Late
homeworks will not be accepted. Only best 10 scores will be counted so if you miss a homework, its score can be one of those
which are dropped.
Quizzes
There will be a quiz every Tuesday during the recitation for 10 minutes covering the material covered until the homework
submitted that day. The quizzes are designed to make sure you have been actually practicing regularly. They will be based on
homework problems and if you have done your homeworks properly you should be able to do the quizzes well. The quizzes are
closed book and notes but you may use a scientific calculator. Each quiz will be worth a maximum of 10 points. There will be no
make-up quizzes. Only best 10 scores will be counted so if you miss a quiz, its score can be one of those which are dropped.
Exams
The four 50-minute in-class midterm exams are closed book and notes but you may use a scientific calculator. They will be done
during a regular lecture class on the dates indicated on the lecture schedule. These exams will cover the work done until the
previous class. Because of the time constraint for the in-class exams,
you must be very well prepared in order to work the problems
in the time allotted. Keys for the exams will be posted on the course webpage after the exams are handed in.
The final exam will be on common final exam day Monday, May 10 from 1:30 to 4:30 in a room to be announced later. The room
will most likely NOT be our regular lecture room. If you don't know where to go on final exam day call the School of Mathematics
at 612-625-4848.
The lowest score on the four midterm exams will be replaced by the
final exam score (scale to be on 100) if the lowest score is less
than the final score. In case a student has more than one exam with the
same lowest score, the first exam score will be replaced.
Absence from Exams
Make-up exams will be arranged only in rare cases. You are responsible for providing appropriate documentation before the
make-up exam takes place. For example, if you were deathly ill and could not make it to a test, contact me ASAP with a note from
your doctor. However, if you miss one of the four midterm exams, the zero score on that exam being your lowest score on the
midterms will be replaced with your final exam score in your total score calculation for the grade.
Earning Extra Credit
There are no opportunities for earning extra credit points. Your grade
will be based solely on your scores on the graded materials,
which are homework and exams.
Policy on Calculators
Only scientific calculators may be used in exams. A scientific calculator is one that can calculate the values of the standard
algebraic and transcendental functions, but cannot display graphs of functions or do symbolic manipulations. In particular,
graphing calculators are not allowed.
Dropping dates
The schedule for dropping deadlines could be found at the following site:
Incompletes
Grades of I are subject to the approval of the Director of Undergraduate Studies of the School of Mathematics and are given only
on special circumstances in which the students have fulfilled all but a
small portion of the work in the course, have a compelling
reason for the incomplete and must have a prior arrangement with the instructor before the end of the term as to how the
incomplete will be removed.
Student Conduct
The University of Minnesota Student Conduct Code governs all activities in the University, including this course. Students who
engage in behavior that disrupts the learning environment for others may be subject to disciplinary action under the Code. This
includes any behavior that substantially or repeatedly interrupts
either the instructor's ability to teach or student learning. The
classroom extends to any setting where a student is engaged in work toward academic credit or satisfaction of program-based
requirements or related activities. Students responsible for such
behavior may be asked to cancel their registration (or have their
registration canceled). For more information see
Scholastic Dishonesty
This includes plagiarizing, cheating on assignments or exams, using a graphing calculator while taking an exam, engaging in
unauthorized collaboration on academic work, and taking, acquiring, or using exam materials without faculty permission.
Scholastic dishonesty in any portion of the academic work for a course shall be grounds for awarding a grade of F or N for the
entire course. For more information contact the Office for Student Conduct and Academic Integrity, 211 Appleby Hall, 612-624-
6073,
Harassment
The University of Minnesota is committed to providing a safe climate
for all students, faculty, and staff. All persons shall have
equal access to its programs, facilities, and employment without regard
to race, color, creed, religion, national origin, sex, age,
marital status, disability, public assistance status, veteran status,
or sexual orientation. Reports of harassment are taken seriously,
and there are individuals and offices available for help. Contact the Office of Equal Opportunity and Affirmative Action
( 419 Morrill Hall, 612-624-9547.
Complaints Regarding Teaching/Grading
Students with complaints about teaching or grading should first try to resolve the problem with the instructor involved. If no
satisfactory resolution can be reached, students may then discuss the matter with the Director of Undergraduate Studies of the
School of Mathematics, 115 Vincent Hall, who will attempt to mediate. Failing an informal resolution, the student may file a
formal complaint.
Disability Accommodations
If you feel that you have a learning disability that would prevent you from doing your best within that time frame you should
immediately contact the Office for Students with Disabilities to see if they can authorize accommodations for you. Reasonable
accommodations will be provided for students with disabilities on an individualized and flexible basis. The staff at Disability
Services will determine appropriate accommodations through consultation with the student. Information is available on their web
site at by calling 612-626-1333 (for both voice and TTY), or by sending an email to ds@umn.edu.
Mental Health Issues
Sometimes, coping with the stress of attending the University and dealing with your personal, family, and work life can be
overwhelming. We each battle stress in different ways and most of the time we can make it through the tough spots without
professional help. However, if you or a friend are having mental health issues that you cannot handle, you might want to take
advantage of the services offered by the University through it's mental health web site, This
site is designed for students, parents, faculty, and staff who are
looking for student mental health information and related resources
at the University of Minnesota, Twin Cities campus.
Here are some specific resources that can help you:
� Boynton Health Service offers individual and couple counseling, urgent consultation, group therapies, medication
assessment/management, social work assistance, and chemical health assessment/treatment. Hours are Monday 8 am to 6
pm, and Tuesday through Friday 8 am to 4:30 pm. Consultation about student situations is available by phone at 612-624-
1444.
� University Counseling and Consulting Service offers both individual and group counseling
for a range of concerns including academic difficulties, career exploration, and personal concerns. Walk-in hours for
urgent student needs are Monday through Friday 8 am to 4:30 pm. Consultation about student situations is available by
phone at 612-624-3323.
� Disability Services provides assistance with academic accommodations for students with diagnosed
mental health conditions. Consultation regarding disability issues is available in-person or by phone 612-626-1333.
� Office of International and Student and Scholar Services assists international students and
scholars with many concerns, including stress and mental health issues. Confidential consultation is available at 612-626-
7100.
� Crisis/Urgent Consultation/After Hours Consultation is available 24 hours a day at 612-379-6363 or 1-866-379-6363
(toll free). If there is a life-threatening emergency, call 911.
Campus Based Problems and Concerns
The Student Conflict Resolution Center ( works with students to resolve campus-based
problems and concerns. The services are free and confidential.
Learning Assistance
Most students find the academic demands of attending college to be quite challenging, even students who have excellent grades in
high school. If you would like to get some help in areas such as how to
read more efficiently, how to study better for tests, or how
to manage time more effectively you might want to check out the University Counseling and Consulting Services at
Resources to Help you Learn
You have chosen to attend a world class research university and that
means our expectations of you are quite high. We will provide
you with the resources and environment you need to be successful, but it is up to you to work hard and to fully utilize these
resources. Here are some things that will help you succeed:
� Attend every class: You must show up to every lecture and discussion prepared and on time. There is a high correlation
between students who miss class and students who fail. If you don't need to attend class you are in the wrong course and
wasting your time and money.
� Participate in class: You must be actively engaged while in class and studying at home. If you don't become involved in
what you are doing you will not learn it very well.
� Use the textbook: I will not read the textbook to you; you will be expected to read the textbook before you attend the
lecture for each topic and I will highlight important points and do examples that illustrate the mathematical concepts and
procedures. If you don't understand something from the lecture or discussion go back to the textbook to get extra
instruction and clarification. The textbook is very well written but you still will have to read some sections several times
before you fully understand them.
� Get help from your instructors: If you have questions, ask us before, during, or after class or come to our offices during
office hours for extra help.
� Get help from your adviser: Your adviser is there to help you in any way he or she can. Ask your adviser any questions
you have on scheduling, requirements, child care, etc.
� Get help from free math tutors: Free tutors are available through the SMART Learning Commons on campus. They have
drop-in hours at four locations on campus (Walter Library on the East Bank, Wilson Library on the West Bank, Magrath
Library on the St. Paul campus, and one other location to be determined). Spring hours and room numbers will be posted
on their web site by 14 September.
In addition to drop-in tutoring, you can set up one-on-one appointments at On the web site, in the
Learning Consultants box, click the Make an appointment link.
Lecture, Exams and Homework Schedule schedule for the class may change a bit from time to time so check the announcements for any major changes. | 677.169 | 1 |
In the 1st a part of this e-book, the authors introduce us to the Tlingit tradition, background, land, and conventional artwork varieties. the second one half is a set of twenty-two stories, from production myths and spiritual tales to tales that educate familial values. A bibliography, an index, colour photos, and illustrations by means of conventional Tlingit artist Ts'anak are incorporated. a superb source for the multicultural school room or for a unit on American Indians.
EDITIONS: initially designed as a paperback workbook, it really is now additionally on hand as an booklet. The publication variation is designed to paintings with pinch-and-zoom (which permits scrolling whereas zoomed in), and calls for having paper and a pencil convenient. The paperback version contains area within which to jot down the suggestions. With the book, use equipment navigation to entry the desk of contents and turn among chapters (this is handy for checking answers).
2015 UPDATE: the hot version comprises those updates:
The up-to-date version numbers the questions and answers. This is helping to simply locate the proper solutions behind the book.
100% of the solutions to the up to date version were independently verified either by means of laptop and by way of a world math whiz.
AUTHOR: Chris McMullen earned his Ph.D. in physics from Oklahoma kingdom college and at the moment teaches physics at Northwestern kingdom collage of Louisiana. He constructed the Improve Your Math Fluency sequence of workbooks to assist scholars develop into extra fluent in simple arithmetic skills.
CONTENTS: This Algebra necessities perform Workbook with Answers offers plentiful perform for constructing fluency in very basic algebra talents - specifically, the best way to clear up regular equations for a number of unknowns. those algebra 1 perform workouts are appropriate for college kids of all degrees - from grade 7 via collage algebra. This workbook is very easily divided up into seven chapters in order that scholars can specialize in one algebraic procedure at a time. talents contain fixing linear equations with a unmarried unknown (with a separate bankruptcy devoted towards fractional coefficients), factoring quadratic equations, utilizing the quadratic formulation, pass multiplying, and fixing structures of linear equations. no longer meant to function a accomplished assessment of algebra, this workbook is in its place aimed toward the main crucial algebra abilities. An advent describes how mom and dad and lecturers may also help scholars utilize this workbook. scholars are inspired to time and ranking each one web page. during this manner, they could attempt to rejoice bettering on their documents, that can support lend them self belief of their math skills.
EXAMPLES: each one part starts with a couple of pages of directions for a way to unravel the equations by means of a number of examples. those examples should still function an invaluable consultant until eventually scholars may be able to resolve the issues independently.
ANSWERS: solutions to a hundred% of the workouts are tabulated behind the booklet. This is helping scholars boost self belief and guarantees that scholars perform right suggestions, instead of perform making blunders. All solutions from the up-to-date variation were tested either via computing device and independently through a global math whiz.
PHOTOCOPIES: The copyright observe allows parents/teachers who buy one replica or borrow one replica from a library to make photocopies for his or her personal children/students in simple terms. this can be very handy when you've got a number of children/students or if a child/student wishes extra practice.
NOTE: the reply key makes use of normal shape. Fractions are expressed as diminished fractions and ideal squares are factored out of squareroots. for instance, should you obtain a solution of one over root eight, the reply key will as an alternative exhibit root 2 over four; either solutions are an analogous, however the resolution key makes use of typical shape.
'Nick Pratt s ebook appears intimately on the actual that means of training arithmetic interactively in basic colleges. every one part is decided basically inside of a context, is associated through key rules the $64000 bits to consider and is summarised to offer a succinct with reference to the bankruptcy s content material and considering. it's a publication that the reader will certainly locate valuable and notion scary. It definitely made me ponder how small alterations and a greater variety of methods within the lecture room could make significant adjustments in teenagers s studying and figuring out of mathematical strategies' - Mike Eatwell, basic Maths consultant, Bristol LEA. utilizing a whole-class, interactive method of educating arithmetic is a key characteristic of the nationwide Numeracy approach (NNS), and this publication appears to be like at not just what works but additionally why issues paintings. lecturers may be capable of comprehend why and the way a few of the instructing recommendations they're utilizing of their study rooms have a good influence on kid's studying. The e-book covers: the way to have interaction in significant reflective perform that would enhance your classes. " the right way to use whiteboards. " making mathematical that means via speak. " getting the complete type interacting. " pondering, speaking and performing mathematically. " educating quantity - beginning issues. " instructing form and area - beginning issues. " constructing your interactive instructing. " a thesaurus of phrases. it truly is geared toward either training and trainee academics, and provides transparent topic advice in addition to a proof of a key a part of the NNS. It helps either contributors and arithmetic topic leaders offering INSET to their colleagues."
There are writing facilities at virtually each collage and collage within the usa, and there's an rising physique discourse, learn, and writing approximately them. The target of this e-book is to open, formalize, and extra the discussion approximately study in and approximately writing facilities. the unique essays during this quantity, all written by way of writing middle researchers, without delay handle present matters in numerous methods: they motivate reports, information assortment, and booklet through supplying distinctive, reflective bills of analysis; they inspire a range of techniques by means of demonstrating various methodologies (e.g., ethnography, longitudinal case learn; rhetorical research, instructor learn) on hand to either veteran and amateur writing heart pros; they increase an ongoing dialog approximately writing heart examine through explicitly addressing epistemological and moral matters. The booklet goals to inspire and consultant different researchers, whereas whilst providing new wisdom that has resulted from the reviews it analyzes.
Preparing Principals for a altering World presents a hands-on source for growing and enforcing powerful guidelines and courses for constructing professional university leaders. Written by means of acclaimed writer and educator Linda Darling-Hammond and specialists Debra Meyerson, Michelle LaPointe, and Margaret Terry Orr, this crucial booklet examines the features of winning academic management courses and gives concrete concepts to enhance courses national.
In a research funded via the Wallace starting place, Darling-Hammond and the crew tested 8 exemplary valuable improvement courses, in addition to country regulations and principals' studies around the kingdom. utilizing the information from the learn, they demonstrate how profitable courses are dependent, the talents and information members achieve, and what they may be able to do in perform as university leaders as a result.
What do those exemplary courses have in common? competitive recruitment; shut ties with faculties locally; on-the-ground education below the wing of specialist principals, and a powerful emphasis at the state of the art theories of tutorial and transformational leadership.
In addition to highlighting the courses' similarities, the learn additionally explains the variations one of the courses and sheds mild at the effectiveness of ways and types from diverse states and contexts?East, West, North, and South; city and rural; pre-service and in-service. The authors learn application results for principals and their faculties, together with illustrative case experiences and educators' voices at the impression of courses' thoughts for recruitment, internships, mentoring, and coursework.
The principles and proposals defined in Preparing Principals for a altering World are offered with the target of accelerating the variety of hugely certified, considerate, and leading edge academic leaders.
SCA Description eBook #66 stories the precise should still price research (SCA) of ethylene (C2) derived from catalytic steam cracking of ethane, purified and saved or piped to adjoining conversion amenities. SCA contains common costs came across for the chemical commodities. SCA assumes a reasonably huge plant scale. Co-products and the respective worth offsets are included.
Chemical Description Ethylene is a drab flammable gaseous hydrocarbon, C2H4; m.p. –169°C; b.p. –103.7°C. it's the first member of the alkene sequence of hydrocarbons. it really is made through cracking hydrocarbons from petroleum, from average fuel isolates or by means of hydrogenation of refinery acetylene. it's a significant uncooked fabric for making different natural chemical compounds, e.g., ethanol, ethylbenzene, monoethylene glycol, and will be polymerized to polyethylene. It happens obviously in crops, within which it acts as a development substance selling the ripening of fruits.
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Legal Limitations While Chemcost Interactive LLC and Chemcost Media LLC have endeavored to make sure the accuracy of the knowledge, costs, estimates, illustrations, benchmarks, forecasts and different references, any choice established upon them (including investments and making plans) are on the client's personal threat. apart from willful or reckless conducts, acts, or omissions, Chemcost Interactive LLC and Chemcost Media LLC shall no longer be responsible for any loss, harm, or damages, brought on in entire or partly, via the information and knowledge, research, costs, estimates, illustrations, benchmarks, mark downs and forecasts and different references contained during this file.
Catholic tuition Leadership addresses the various demanding situations dealing with those that arrange religion leaders and schooling leaders for the Catholic colleges of the longer term. the well known editors and participants to this quantity have written approximately their own stories with Catholic faculties; the tutorial foundations of Catholic colleges; instructor guidance and improvement; Catholic college management; facing mom and dad and households; and the demanding situations of expertise for Catholic schools. The contributions emphasize the views of either students and practitioners inside Catholic schooling and should curiosity an individual who has skilled time in a Catholic institution both as a pupil, instructor or administrator, in addition to these drawn to what's taking place inside of Catholic faculties this day. | 677.169 | 1 |
CALCULUS STORY
A Mathematical Adventure
Oxford University Press Calculus is the key to much of modern science and engineering. It is the mathematical method for the analysis of things that change, and since in the natural world we are surrounded by change, the development of calculus was a huge breakthrough in the history of mathematics. But it is also something of a mathematical adventure, largely because of the way infinity enters at virtually every twist and turn...
In The Calculus Story, David Acheson presents a wide-ranging picture of calculus and its applications, from ancient Greece right up to the present day. Drawing on their original writings, he introduces the people who helped to build our understanding of calculus. With a step-by-step treatment, he demonstrates how to start doing calculus, from the very beginning. | 677.169 | 1 |
This book is written for mathematics students who have encountered basic complex analysis and want to explore more advanced project and/or research topics. It could be used as (a) a supplement for a standard undergraduate complex analysis course, allowing students in groups or as individuals to explore advanced topics, (b) a project resource for a senior capstone course for mathematics majors, (c) a guide for an advanced student or a small group of students to independently choose and explore an undergraduate research topic, or (d) a portal for the mathematically curious, a hands-on introduction to the beauties of complex analysis. Research topics in the book include complex dynamics, minimal surfaces, fluid flows, harmonic, conformal, and polygonal mappings, and discrete complex analysis via circle packing. The nature of this book is different from many mathematics texts: the focus is on student-driven and technology-enhanced investigation. Interlaced in the reading for each chapter are examples, exercises, explorations, and projects, nearly all linked explicitly with computer applets for visualization and hands-on manipulation. There are more than 15 Java applets that allow students to explore the research topics without the need for purchasing additional software.
"synopsis" may belong to another edition of this title.
Review:
This new offering from the MAA is a collection of six inducements or invitations to further research for undergraduates with some background in complex analysis. The book is flexible enough to be a source of enrichment material, a basis for research projects, the kernel of a capstone course, or just a tool to ignite the interest of the mathematically curious.
Although the authors of the six chapters vary, the style and approach is much the same throughout. The goal is a kind of guided research that is focused on fostering independent student investigation and discovery. Each chapter begins with a guided tour of the topic and then offers students several opportunities to investigate further. Interspersed throughout the text are examples, Java applets, exercises, explorations and a variety of potential projects. The exercises are integrated into the text, designed with clear goals, and identified as essential for comprehending the material. The "explorations" are less goal-directed and aimed more at getting students to find directions to investigate on their own. The projects are optional activities, large and small, that might last a few weeks or a whole term.
The book's six chapters offer what the authors call "current research topics," although some are more current than others. Topics come in a reasonable variety. For those favoring geometry, there are chapters on minimal surfaces ("Soap Films, Differential Geometry and Minimal Surfaces") and "Circle Packing" (configurations of circles with specified patterns of tangency) To those who are inclined to complex function theory, there are "Anamorphosis, Mapping Problems and Harmonic Univalent Functions" (perhaps the closest to a bona fide current research topic) and "Mappings to Polygonal Domains" (creating univalent functions from one such domain to another). For the application-minded, there is "Applications to Flow Problems," about two-dimension vector fields in, for example, electromagnetic or fluid dynamics. Finally there is "Complex Dynamics," which introduces chaos and fractals via iteration of complex analytic functions.
This is an attractive book that should have a lot of appeal to students. It offers a number of excellent avenues into research for undergraduates. --Bill Satzer, MAA Reviews
This book provides an informative, student-centered approach to several diverse applications of complex variables. Brilleslyper (US Air Force Academy) and colleagues use visual aspects and various Java applets to enhance the presentation and deepen understanding. Each of the six chapters contains a discussion of the requisite applets. The text begins with "Complex Dynamics," including a discussion of the Mandelbrot set. the following chapters cover connections to differential geometry, fluid flow, and mapping problems. The final chapters are titled "Mappings to Polygonal Domains" and "Circle Packing." The book contains many examples and more than 320 exercises in addition to numerous "explorations" and both large and small projects. Readability is enhanced by over 210 figures, most in color. More than 100 references support the text. Two appendixes cover necessary background information and the Riemann sphere. The book would serve nicely for a senior undergraduate capstone course. --D.P. Turner CHOICE | 677.169 | 1 |
Normal 0 false false false MicrosoftInternetExplorer4 The goal of "Intermediate Algebra: Concepts and Applications, "7 "Concept Reinforcement "exercises, Student Notes that help students avoid common mistakes, and Study Summaries that highlight the most important concepts and terminology from each chapter. Algebra and Problem Solving; Graphs, Functions, and Linear Equations; Systems of Equations and Problem Solving; Inequalities and Problem Solving; Polynomials and Polynomial Functions; Rational Expressions, Equations, and Functions; Exponents and Radicals; Quadratic Functions and Equations; Exponential and Logarithmic Functions; Conic Sections; Sequences, Series, and the Binomial Theorem For all readers interested in intermediate algebra. Intermediate Algebra: Concepts and Applications Bittinger, Marvin A. / Ellenbogen, David J., Addison Wesley Longman
Addison Wesley Addison Wesley
[EAN: 9780321233868], Gebraucht, guter Zustand, [PU: Addison Wesley], Mathematics|Algebra|Elementary, Mathematics|Algebra|General, Mathematics|Algebra|Intermediate, Shows some signs of wear, and may have some markings on the inside.
Addison Wesley. Hardcover. POOR. Acceptable copy with heavy wear to cover and pages. Pages have writing and or highlighting. Might be an ex-library copy and not include CD or accessories., Addison Wesley
The goal of Intermediate Algebra: Concepts and Applications, 7 Concept Reinforcement exercises, Student Notes that help students avoid common mistakes, and Study Summaries that highlight the most important concepts and terminology from each chapter. | 677.169 | 1 |
A model guide to maths in the wider world
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This useful book has been produced to supplement the Government's Grants for Education Support and Training programme. It is designed as an extension of the materials in the IT Maths Pack (reviewed last year) which is available from the Mathematical Association and the Association for the Teaching of Mathematics.
It has been written by members of the Institute of Mathematics and its Applications, and contains five chapters, composed by practising mathematicians, on the ways in which mathematical modelling is assisted by IT in industries such as oil exploration, telecommunications and insurance.
The authors give examples of the ways in which IT is currently used in their organisations and how they and their colleagues have been affected by the changes resulting from the increased power of IT.
They suggest implications for mathematics teaching, with new skills becoming more significant. Other skills, which were once very important, have become redundant through the introduction of alternative computer-based methods. Each chapter is followed by a commentary which suggests ways in which similar problems may be tackled in the classroom.
For example, a chapter about assessing the likelihood of events occurring is followed by a commentary which examines the powerful tools now available to students tackling problems in statistics. There are then two mathematical explorations of statistical situations, using a typical graphic calculator.
One of these explorations neatly illustrates the danger of an uncritical acceptance of the "answers" so rapidly supplied by such methods.
However, the examples in each chapter are nearly all at a level suitable only for A-level students, and so the usefulness of the book might seem rather limited. Nevertheless, I can recommend it to all mathematics teachers for the insight it gives into the ways in which the subject is used | 677.169 | 1 |
IIT JEE Advanced
Syllabus
IIT JEE Advanced Syllabus 2018: The complete IIT JEE Advanced Syllabus is the
collection of subjects like Physics/Chemistry/Maths and includes all the topics
related to these subjects. IIT JEE Advanced exam syllabus provides complete
knowledge to the preparing students for the entrance exam about the topics for
which they should study. The complete JEE Advanced syllabus is available on
main internet site of the organization. Candidates may download IIT JEE
Advanced Syllabus PDF through online mode. Individual may collect more
information about same by going through the content given on this page.
The Joint Entrance Exam is an entrance exam which is
conducted by one of the IIT's every year for providing admission in engineering
college to the talented students. This is very important for preparing students
to read all topics of Physics/Chemistry/Maths in deeply for crack the IIT Joint
Entrance Exam. Candidates who want to get IIT JEE Advanced Syllabus 2018 are
informed that we have given complete syllabus on this page which is well
designed by the team members of
IIT JEE Advanced Syllabus
Joint Entrance Examination Advanced (IIT JEE Advanced
Syllabus) consists of four subjects which are as follows:
Matrices as a
rectangular array of real numbers, equality of matrices, addition,
multiplication by a scalar and product of matrices, transpose of a matrix,
determinant of a square matrix of order up to three, inverse of a square
matrix of order up to three, properties of these matrix operations, diagonal,
symmetric and skew-symmetric matrices and their properties, solutions of
simultaneous linear equations in two or three variables.
Addition and
multiplication rules of probability, conditional probability, Bayes Theorem,
independence of events, computation of probability of events using
permutations and combinations.
Relations between
sides and angles of a triangle, sine rule, cosine rule, half-angle formula
and the area of a triangle, inverse trigonometric functions (principal value
only).
Subject
Analytical Geometry
Topics
Two dimensions:
Cartesian coordinates, distance between two points, section formulae, shift
of origin.
Equation of a
straight line in various forms, angle between two lines, distance of a point
from a line; Lines through the point of intersection of two given lines,
equation of the bisector of the angle between two lines, concurrency of
lines; Centroid, orthocentre, incentre and circumcentre of a triangle.
Equation of a
circle in various forms, equations of tangent, normal and chord.
Parametric
equations of a circle, intersection of a circle with a straight line or a
circle, equation of a circle through the points of intersection of two
circles and those of a circle and a straight line.
Equations of a
parabola, ellipse and hyperbola in standard form, their foci, directrices and
eccentricity, parametric equations, equations of tangent and normal.
Locus problems.
Three dimensions:
Direction cosines and direction ratios, equation of a straight line in space,
equation of a plane, distance of a point from a plane.
Limit and
continuity of a function, limit and continuity of the sum, difference,
product and quotient of two functions, L'Hospital rule of evaluation of
limits of functions.
Even and odd
functions, inverse of a function, continuity of composite functions,
intermediate value property of continuous functions.
Derivative of a
function, derivative of the sum, difference, product and quotient of two
functions, chain rule, derivatives of polynomial, rational, trigonometric,
inverse trigonometric, exponential and logarithmic functions.
Derivatives of
implicit functions, derivatives up to order two, geometrical interpretation
of the derivative, tangents and normals, increasing and decreasing functions,
maximum and minimum values of a function, Rolle's theorem and Lagrange's mean
value theorem.
Subject
Integral Calculus
Main Topics
Integration as
the inverse process of differentiation, indefinite integrals of standard
functions, definite integrals and their properties, fundamental theorem of
integral calculus.
Integration by
parts, integration by the methods of substitution and partial fractions,
application of definite integrals to the determination of areas involving
simple curves.
Methods of
measurement and error analysis for physical quantities pertaining to the
following experiments: Experiments based on using Vernier calipers and screw
gauge (micrometer), Determination of g using simple pendulum, Young's modulus
by Searle's method, Specific heat of a liquid using calorimeter, focal length
of a concave mirror and a convex lens using u-v method, Speed of sound using
resonance column, Verification of Ohm's law using voltmeter and ammeter, and
specific resistance of the material of a wire using meter bridge and post
office box.
First law of
thermodynamics and its applications (only for ideal gases)
Blackbody
radiation: absorptive and emissive powers
Kirchhoff's law
Wien's
displacement law, Stefan's law.
Electricity
and Magnetism
Coulomb's law;
Electric field and potential; Electrical potential energy of a system of
point charges and of electrical dipoles in a uniform electrostatic field;
Electric field lines; Flux of electric field; Gauss's law and its application
in simple cases, such as, to find field due to infinitely long straight wire,
uniformly charged infinite plane sheet and uniformly charged thin spherical
shell.
Capacitance;
Parallel plate capacitor with and without dielectrics; Capacitors in series
and parallel; Energy stored in a capacitor.
Biot–Savart's law
and Ampere's law; Magnetic field near a current-carrying straight wire, along
the axis of a circular coil and inside a long straight solenoid; Force on a
moving charge and on a current-carrying wire in a uniform magnetic field.
Magnetic moment
of a current loop; Effect of a uniform magnetic field on a current loop;
Moving coil galvanometer, voltmeter, ammeter and their conversions
Rectilinear
propagation of light; Reflection and refraction at plane and spherical
surfaces; Total internal reflection; Deviation and dispersion of light by a
prism; Thin lenses; Combinations of mirrors and thin lenses; Magnification
10 Qs with four multiple answer + 4 Qs on table matching with four
answer options+ 6 Qs on paragraph with four answer options for each Qs
Conclusion:
To get further information related to IIT JEE Advanced Syllabus,
exam, recruitment, result and hall ticket etc join us on Facebook and Google
plus. You may also subscribe our free mail service to get latest updates
directly in your inbox. If you have any query regarding IIT JEE Advanced
Syllabus 2018 you may ask in comment box. We will try our best to solve your
problem of IIT JEE Advanced Syllabus. You can also bookmark the web
portal by pressing Ctrl+D option for getting latest updates about IIT JEE
Advanced Syllabus. | 677.169 | 1 |
Map Coloring to Graph Coloring - PowerPoint PPT Presentation
Map Coloring to Graph Coloring. Part of a unit on discrete mathematics. Discrete math: What is it?. It is mathematics which studies phenomena which are not continuous, but happens in small, or discrete, chunks.
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PowerPoint Slideshow about 'Map Coloring to Graph Coloring' - l line between two subjects indicates that at least one student is taking both subjects, and so they should not be scheduled for the same period. Using this representation, the problem of finding a workable timetable using the minimum number of periods is equivalent to the coloring problem, where the different colors correspond to different periods. | 677.169 | 1 |
8 1 Study Guide And Intervention Answers 134084
glencoe mcgraw hill geometry worksheet answers photos
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Beginning algebra college textbook
All Rights Reserved. User Agreement, Privacy, Cookies and AdChoice. For more recent exchange rates, please use the Universal Currency Converter. Algebra refresher. This book was written in a manner that all math texts shouldbe written - lots of excercises complete with answers and very. While the cover of this textbook lists only two names, the book as it stands. Iused the book in three sections of College Algebra at Lorain.
College Algebra (th Edition): Robert F. Beginning Algebra includes printable full-colorillustrated notes, automatically graded algebra problems with worked-out answers, and aglossary of mathematical terms, which makes learning beginning algebra online easy.Beginning Algebra is a developmental math course at two-year colleges. The courseincludes factoring, equations, and functions in order to prepare the student for successin college mathematics. | 677.169 | 1 |
Mathematics
Why choose this subject?
Because you love Mathematics and are so good at it. You might have an interest in exploring mathematical ideas from an
early age; your curiosity and interest may have been sparked by the world around you. You may be considering a career
for which mathematics is needed or for which it may be useful. The good news is that even if you do not know what you
wish to do at the moment, mathematics fits well with both arts and science subjects and is well regarded by higher
education institutions and employers. Recent studies have shown that those who have taken A Level Mathematics
increase their earning potential whatever their choice of degree. Studying Mathematics at AS and Advanced GCE will
enable you to extend your knowledge of such topics as algebra and trigonometry as well as learning some brand new ideas
such as calculus. If you enjoyed the challenge of problem solving at GCSEusing such mathematical techniques, then you
should find the prospect of this course very appealing. It has been a popular and successful choice at Loxford.
Entry requirements:
A GCSEGrade A from the higher tier of entry.
Combine this course with:
Computing, a Science, a Language, English Literature, Design and
Technology, Economics, Geography.
Course Content:
Sixth Form mathematics at AS and A level follows the Edexcel modular course. All the modules are equally weighted and
six modules make an A level. An AS level is three modules, roughly equivalent to half an A level. There is no coursework
or practical work in the mathematics course. Each module is tested in a single 90-minute written examination.
YEAR12 ASSESSMENT
YEAR13 ASSESSMENT
C1-Exam in January/June
C2-Exam in June
M1/S1 -Exam in June
C3-Exam in January
C2-Exam in June
M2/S2/D1 -Exam in June
Course Description
AS Level Mathematics
This course aims to build on work already successfully completed at GCSE.
Modules are available in Core Mathematics, Mechanics, Statistics and Decision Mathematics.
While studying mathematics you will be expected to:
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use mathematical skills and knowledge to solve problems;
solve quite complicated problems by using mathematical arguments and logic; understand and demonstrate what is
meant by proof in mathematics;
simplify real-life situations so that you can use mathematics to show what is happening and what might happen in
different circumstances;
use the mathematics that you learn to solve problems that are given to you in a real-life context;
use calculator technology and other resources (such as formulae booklets or statistical tables) effectively and
appropriately;
understand calculator limitations and when it is inappropriate to use such technology.
A2 Mathematics
Further modules are available in Core Mathematics, Mechanics, Statistics and Decision Mathematics, These allow for
application of knowledge, skills, understanding and modeling techniques to solve problems set in a real-life context.
Assessment of course is by examination in each of the three modules chosen by the candidate. This choice will reflect the
candidate's skills, knowledge and understanding.
This course aims to build on work already successfully completed at ASlevel.
AS/A2 Further Mathematics
This course is unusual in that it is an extension of the usual A Level Mathematics course and can only be studied by those
already doing A Level Mathematics and wishing to study Mathematics, Physics or Engineering at University. Further
Mathematics provides more opportunity to see how mathematics is applied and supports many other subjects with
mathematical based content.
Course Description
In addition to AS/A2 Mathematics, pupils can also follow as AS/A2 award in Further Mathematics. This requires that a
further 3 modules are completed for the ASand a further 3 module are studied for A2.
What will I learn on this course?
There are many good reasons for students to take Further Mathematics:
•
students taking Further Mathematics overwhelmingly find it to be an enjoyable, rewarding, stimulating and
empowering experience;
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for someone who enjoys Mathematics, it provides a challenge and a chance to explore new and/or more
sophisticated mathematical concepts;
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it enables students to distinguish themselves as able mathematicians in the university and employment market;
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it makes the transition to a mathematics-rich university course easier
A typical distribution of modules for pupils studying Further Mathematics is: | 677.169 | 1 |
Date and Time
About Ashish Khairkar
2 years of experience in the field of mentoring aptitude sessions and enhancing the skills of the students through my workshops and ebooks which is being sold over the internet.
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About the Course
Amazing shortcuts and handy tricks to crack questions quickly
Build conceptual understanding, as well as 'speed' by using the tips
Comprehensive coverage of quantitative concepts in the form of an e-book
Recommended to the aspirants of various competitive exams
Topics Covered
Number System
Interesting Facts Properties of Prime Number Squaring Techniques Cubing Techniques Finding Square Root & Cube Root of Number Divisibility Rules Factors / Divisors of Given Composite Number HCF / LCM of Numbers Applications of HCF / LCM of Numbers Digital Sum of a Number Concept of Cyclicity / Power Cycle Remainder Theorem Finding the Last / Unit Digit Finding the Last Two Digits of a Number Number of Exponents / Highest Power / Number of Zeroes
Fundamental Principle of Counting Introduction to Permutations & Combinations Different Corollaries of Permutations Circular Permutations Different Corollaries of Combinations Selection out of Identical / Non-Identical things Distribution of Things Groupings & Dividing of Things Derangement Principle Geometrical Applications of P & C Use of P & C in Solution of Equations Trick for Finding the Rank of a Given Word
Roots of Quadratic Equation Nature of Roots To find Equation with given roots Graphical Representation of Quadratic Equations Higher Order Equations Relation between Roots & Coefficients Descarte's Rule of Signs Finding the Common Root
Sets, Venn Diagram & Averages
Properties of Sets Properties of Venn Diagrams De-Morgan's Laws Problems Based on Venn-Diagrams Problems Based on Averages | 677.169 | 1 |
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