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Basic Abstract Algebra
Book Description
This book represents a complete course in abstract algebra, providing instructors with flexibility in the selection of topics to be taught in individual classes. All the topics presented are discussed in a direct and detailed manner. Throughout the text, complete proofs have been given for all theorems without glossing over significant details or leaving important theorems as exercises. The book contains many examples fully worked out and a variety of problems for practice and challenge. Solutions to the odd-numbered problems are provided at the end of the book. This new edition contains an introduction to lattices, a new chapter on tensor products and a discussion of the new (1993) approach to the celebrated Lasker-Noether theorem. In addition, there are over 100 new problems and examples, particularly aimed at relating abstract concepts to concrete situations. | 677.169 | 1 |
"Mathematical Olympiad
Challenges" is a rich collection of problems put together by two
experienced and well-known professors and coaches of the U.S.
International Mathematical Olympiad Team. Hundreds of beautiful,
challenging, and instructive problems from algebra, geometry,
trigonometry, combinatorics, and number theory were selected from
numerous mathematical competitions and journals.
The problems are clustered by topic into
self-contained sections with solutions provided separately. All sections
start with an essay discussing basic facts and one or two
representative examples. A list of carefully chosen problems follows and
the reader is invited to take them on. Additionally, historical
insights and asides are presented to stimulate further inquiry. The
emphasis throughout is on encouraging readers to move away from routine
exercises and memorized algorithms toward creative solutions to
open-ended problems.
Key features of this work include:
Problems
clustered in three self-contained sections Complete solutions provided
separately Background material, representative examples, and beautiful
diagrams to supplement each problem set Material successfully tested in
classrooms as well as in national and international competitions
Historical insights and asides presented to stimulate further inquiry
Aimed
at motivated high school and beginning college students and
instructors, this work can be used as a text for advanced
problem-solving courses, for self-study, or as a resource for teachers
and students training for mathematical competitions and for teacher
professional development, seminars, and workshops. | 677.169 | 1 |
This textbook reflects these recent developments while providing a comprehensive introduction to the fields of pattern recognition and machine learning. No previous knowledge of pattern recognition or machine learning concepts is assumed. Familiarity with multivariate calculus and basic linear algebra is required, and some experience in the use of probabilities would be helpful though not essential as the book includes a self-contained introduction to basic probability theory. | 677.169 | 1 |
Description: Exploring the concepts, ideas, and results of mathematics is a fascinating topic. In this course you will see firsthand many of the results that have made what mathematics is today and meet the mathematicians that created them. | 677.169 | 1 |
Summary
With unrivalled guidance straight from the IB, over 700 pages of practice and the most comprehensive and correct syllabus coverage, this print and online course book pack will set your learners up to excel. The only resource developed directly with the IB, it fully captures the IB ethos, connecting mathematical applications with relevant, real examples.
- The most comprehensive syllabus coverage - the truest match to the IB syllabus, written with the IB - Complete worked solutions - a full set of worked solutions available online - Extensive practice - over 700 pages of practice cements comprehension - Up-to-date GDC support - take the confusion out of GDC use and help students focus on the theory - Definitive assessment preparation - exam-style papers and questions will build confidence - The Exploration - supported by a full chapter, to guide you through this new component - Real world approach - connect mathematics with human behaviour, language, morality and more - Multiplatform access, compatible with PCs, Macs, iPads, tablets and more - Includes one print course book and one online course book, for maximum flexiblility - The license is valid until 31st December 2020
About the Series: Oxford's IB Diploma Course Books are essential resource materials designed in cooperation with the IB to provide students with extra support through their IB studies. Course Books provide advice and guidance on specific course assessment requirements, mirroring the IB philosophy and providing opportunities for critical thinking. | 677.169 | 1 |
MTH412 History of Mathematics
Course Description
Examines currents in the development of mathematics and throughout ancient Egypt, Babylon, China, and the Middle East. It studies math's influence on society through the major events of Europe, contemporary developments, and some projections into the future, including the women and men who played key roles in evolution of mathematics.
Learning Outcomes
Discuss some of the major milestones in the development of mathematics and how public thought was influenced by them: from early mysticism to the sixteenth century desire to classify and categorize that introduced Arabic numerals to England and forever altered commerce, navigation and surveying; From the belief in the power of rational, logical thought expressed by Newton or Boole to the loss of certainty expressed in Godel's Theorem. From a sense of the individual soul to the attitude of becoming a statistics and to the possibility that the human brain state can be modeled with a fairly sophisticated computer.
Do some mathematics of various time periods.
Discuss current directions in mathematics education.
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Please complete the form below, and an admissions advisor will contact you shortly. | 677.169 | 1 |
A Descriptive, Survey Research Study Of The Student Characteristics Influencing The Four Theoretical Sources Of Mathematical Self-Efficacy Of College Freshmen, Tonja Motley Locklear
The Sources of Middle School Mathematics Self-Efficacy Scale (Usher & Pajares, 2009) was adapted for use in this study investigating the impact that gender, race, sexual orientation, hometown location (rural, suburban, or urban), high school GPA, college GPA and letter grade of a mathematics course in the previous semester had on the four sources of mathematical self-efficacy of 102 college freshmen attending three small, private, liberal arts institutions. Even though this study found no interaction effects between the student characteristics, the four sources of mathematical self-efficacy, or the three subcategories of the vicarious experience construct, this study did find statistically significant ...
Theses: Doctorates and Masters
This study investigated and described the status and quality of secondary science teaching and learning in Lagos State, Nigeria. Quantitative and qualitative methods were used for gathering research data. Quantitative data were obtained from the surveys of 78 junior secondary science teachers and 500 junior secondary students from three Local Education Districts of Lagos State. Qualitative data on the other hand, were gathered from analysis of national and state curriculum documents and from focus groups of science teachers, school principals, parent association representatives, education officers, teacher educators, representatives of the professional association for science teachers and representatives of examination bodies ...
Senior Honors Theses
Math anxiety is a real problem facing students and teachers today. The mathematics teacher especially needs to understand the causes and effects of math anxiety as well as ways to help students overcome it. There are many symptoms of math anxiety including an unwillingness to attempt mathematics problems, a fear of taking advanced mathematics classes, and being unusually nervous when in mathematics class. Math anxiety hinders students' working memory (Perina, 2002). It occurs at different ages in different people for different reasons. The main cause of math anxiety is the teacher himself It has been shown that students tend to ...How To Graphically Interpret The Complex Roots Of A Quadratic Equation, Carmen Melliger
MAT Exam Expository Papers
As a secondary math teacher I have taught my students to find the roots of a quadratic equation in several ways. One of these ways is to graphically look at the quadratic and see were it crosses the x-axis. For example, the equation of y = x2 – x – 2, as shown in Figure 1, has roots at x = -1 and x = 2. These are the two places in which the sketched graph crosses the x-axis.
Theses and Dissertations
To master material, students need to make it their own. As teachers, we should structure their interactions with mathematics in ways that are memorable, meaningful, and fun. One way to do this is to provide activities that stretch beyond the textbook and lead students to think and talk to one another about mathematics. This thesis contains a set of activities designed to enhance a precalculus course, along with solutions and feedback on each activity.
Journal of Humanistic Mathematics
Did you love math as a kid? Or was it ruined for you? Sadly, many people have had math ruined for them for various reasons. Some might say that it was because of not understanding what was going on, being bored in class, parental or societal pressure to achieve in math, not seeing a point in learning math, wrong amount of homework, grades, curriculum, physical concerns, mean teachers, or any number of things. This article delves into the many common reasons why math is ruined for so many kids, and offers solutions so that math can be enjoyable for everyone ...
The Effects Of Technology Instruction On The Academic Achievement Of Fifth Grade Students, Karen Davis
Doctoral Dissertations and Projects
A digital native is an individual born between 1981 and 2001, and children born after 2001 are called millennials. Educators are expected to meet the needs of today's technologically savvy students. Some researchers assert that an academic `moral panic' is taking place that lacks the empirical and theoretical knowledge to support the claims that education needs to change to meet the needs of digital natives and millennials. The problem is that considering that the majority of students today are digital natives are educators meeting the learning needs of their students. This research study focused on the use of instructional ...
All Articles in Science and Mathematics EducationAmerican Sign Language and written English) biology laboratory courses. This studyInterdisciplinary Journal of Problem-Based Learning
Project-based learning (PjBL) is an approach often favored in STEM classrooms, yet some studies have shown that teachers struggle to implement it with academic rigor. This paper explores the relationship between PjBL and rigor in the classrooms of ten STEM-oriented high schools. Utilizing three different data sources reflecting three different perceptions—student surveys, teacher logs, and classroom observations—the study examines the extent to which PjBL and rigor co-occur. Across all three measures, the results show that use of PjBL is associated with higher levels of rigor. However, the study also shows that academic rigor can be present in the ...
Numeracy
It is important for science students to understand not only how to estimate error sizes in measurement data, but also to see how these errors contribute to errors in conclusions they may make about the data. Relatively small errors in measurement, errors in assumptions, and roundoff errors in computation may result in large error bounds on computed quantities of interest. In this column, we look closely at a standard method for measuring the volume of cancer tumor xenografts to see how small errors in each of these three factors may contribute to relatively large observed errors in recorded tumor volumesThe over thirty different authors of this handbook, all of whom are experienced in supporting learning in mathematics and quantitative disciplines, provide a useful perspective on the practical issues that affect the running of a learning support centre, as well as the problems of working within a complex institution of higher education. The handbook contains information on leadership and management, how to maintain community interactions, managing staffing ...
Numeracy
In this essay, I examine the extent to which mathematics education and education for quantitative literacy support students' present and future flourishing, a concept that entails realizing objective goods in a life lived from the inside. This perspective requires disentangling philosophical assumptions about the aims of mathematics education, which—in the context of flourishing—I take to be a hybrid of those that have informed curricular discussions over the past two centuries. In the process, I problematize ("make strange") many of the common reasons given for students learning mathematics, including: learning it for one's career, for one's logical ...
A Twenty-Year Look At "Computational Geology," An Evolving, In-Discipline Course In Quantitative Literacy At The University Of South Florida, Victor J. Ricchezza, H. L. Vacher
Numeracy
Since 1996, the Geology (GLY) program at the USF has offered "Computational Geology" as part of its commitment to prepare undergraduate majors for the quantitative aspects of their field. The course focuses on geological-mathematical problem solving. Over its twenty years, the course has evolved from a GATC (geometry-algebra-trigonometry-calculus) in-discipline capstone to a quantitative literacy (QL) course taught within a natural science major. With the formation of the new School of Geosciences in 2013, the merging departments re-examined their various curricular programs. An online survey of the Geology Alumni Society found that "express quantitative evidence in support of an argument" was ...
Numeracy
In this article, we explore the ability of demographic and attitudinal variables to predict student scores on the Quantitative Reasoning for College Science (QuaRCS) Assessment. Variables measured by the assessment include: students' academic choices and plans, attitudes and perceptions regarding mathematics, self-reported effort level, and basic demographics such as age, race/ethnicity, gender and disability status. As in previously published numeracy studies, we find significant score deviations according to gender, race/ethnicity, and disability status; however, the effect size of these correlations pale in comparison to the effect size of affective/attitudinal variables on QuaRCS score. A large number of ...
Numeracy
The purpose of this editorial is to introduce the quantitative literacy community to the newly published A Handbook for Directors of Quantitative and Mathematics Centers. QMaSCs (pronounced "Q-masks") can be broadly defined as centers that have supporting students in quantitative fields of study as part of their mission. Some focus only on calculus or mathematics; others concentrate on numeracy or quantitative literacy, and some do all of that. A QMaSC may be embedded in a mathematics department, or part of a learning commons, or a stand-alone center. There are hundreds of these centers in the U.S. The new handbook ... | 677.169 | 1 |
A Guide to Complex Variables
This quick and easy-to-use guide provides a solid grounding in the fundamental area of complex variables. Copious figures and examples are used to illustrate the principal ideas, and the exposition is lively and inviting. In addition to important ideas from the Cauchy theory, the author also includes the Riemann mapping theorem, harmonic functions, the argument principle, general conformal mapping, and dozens of other central topics. An undergraduate taking a first look at the subject, or a graduate student preparing for their qualifying exams, will find this book to be both a valuable resource and a useful companion to more exhaustive texts in the field. For mathematicians and non-mathematicians alike. | 677.169 | 1 |
Graphing Calculator: Formulas For Sequences
In this calculator worksheet, learners are guided through the process of using their graphing calculator to find the terms in a sequence. Afterward, they work independently to identify the function in a sequence, find specified terms, and find the nth term. Students answer three multi-step multiple choice | 677.169 | 1 |
Dan Velleman's lively text prepares students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. This new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software.
"Sinopsis" puede pertenecer a otra edición de este libro.
Review:
'The book begins with the basic concepts of logic and theory ... These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. No background standard in high scholl mathematics is assumed.' L'enseignement mathematique
About the Author:
Daniel J. Velleman received his B.A. at Dartmouth College in 1976 summa cum laude, the highest distinction in mathematics. He received his Ph.D. from the University of Wisconsin-Madison in 1980 and was an instructor at the University of Texas-Austin, 1980–1983. His other books include Which Way Did the Bicycle Go? (with Stan Wagon and Joe Konhauser), 1996; Philosophies of Mathematics (with Alexander George), 2002. Among his awards and distinctions are the Lester R. Ford Award for the paper Versatile Coins (with Istvan Szalkai), 1994, the Carl B. Allendoerfer Award for the paper 'Permutations and Combination Locks' (with Greg Call), 1996. He's been a member of the editorial board for American Mathematical Monthly from 1997 to today and was Editor of Dolciani Mathematical Expositions from 1999-2004. He published papers in Journal of Symbolic Logic, Annals of Pure and Applied Logic, Transactions of the American Mathematical Society, Proceedings of the American Mathematical Society, American Mathematical Monthly, Mathematics Magazine, Mathematical Intelligencer, Philosophical Review, American Journal of Physics.500 KB-978052167599475994 | 677.169 | 1 |
7.2 Linear Programming Dr. Raja Mohammad Latif Objective: To state the nature of a linear programming problem, to introduce terminology associated with it, and to solve it geometrically.
Dr. Raja Latif, Math 131-052 (Feb 12-10June, 2006) 3 1 Chapter 7: Linear Programming. 7.2: LINEAR PROGRAMMING Abstarct: We will learn to state the nature of a linear pro-gramming problem along with the introduction of terminology associated with it, and then developing a method for its solution geometrically. Many business and economic problems are concerned with optimizing (maximizing or minimizing) a function subject to a system of equalities or inequalities. The function to be optimized is called the objective function cost functions are examples of objective functions. The system of equalities and inequalities to which the objective function is subjected re±ects the constraints (for example, limitations on resources such as materials and labor) imposed on the solution(s) to the problem. Problems of this nature are called mathematical programming problems . In particular, problems in which both the objective function and the constraints are expressed as linear equations or inequalities are called linear programming problems. A linear programming problem consists of a linear objective function to maximized or minimized subject to certain Department of Mathematics, KFUPM
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Dr. Raja Latif, Math 131-052 (Feb 12-10June, 2006) 4 constraints in the form of linear equalities or inequalities. Existence of a Solution. Consider a linear programming problem with the set R of feasible points and objective function z = Ax + BY: 1 : If R is bounded, then z has a maximum and a minimum value on R: 2 : If R is unbounded and A &0 ;B &0 ; and the constraints include x &0 and y &0 ; then z has a minimum value on R but not a maximum. 3 . If R is the empty set, then the linear programming problem has no solution and z has neither a maximum nor a minimum value. Fundamental Theorem of Linear Programming If a linear programming problem has a solution, it is located at a corner point of the set of feasible points. If a linear programming problem has multiple solutions, at least one of them is located at a corner point of the set of feasible points. In either case the corresponding value of the objective function is unique. Steps for Solving a Linear Programming Problem
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GCSE Maths (Do Brilliantly at...)
This exam practice book for GCSE contains detailed advice and tips on how to improve marks and overall grade. It includes: Real exam questions; Students' answers; How to score full marks; Don't make these mistakes; Key points to remember; Questions to try. Written by a top examiner. GCSE Mathematics includes: * Real exam questions across all boards * Students' answers with hints and tips * 'Don't make these mistakes' sections * 'Key points to remember' sections * 'Questions to try' plus examiner's hints * 'How to score full marks' sections * Answers and guidance at the back.
"synopsis" may belong to another edition of this title.
About the Author:
Principal Examiner for a major Exam Board. Author of GCSE Maths Study and Revision Guide
Book Description Collins60789
Book Description Collins, 20032368110
Book Description Collins 20148608
Book Description Collins 20/02148608
Book Description Collins 20/02148608 | 677.169 | 1 |
Basic Functions
PDF (Acrobat) Document File
Be sure that you have an application to open this file type before downloading and/or purchasing.
0.33 MB | 6 pages
PRODUCT DESCRIPTION
This is a worksheet and key which is primarily a graphing calculator assignment. These are problems that familiarize the students with the properties of some of the basic functions. (Quadratic, cubic, absolute value, radical, linear, exponential, sine, and cosine, and greatest int. functions)
CCSS: F.IF.7b, F.BF.3 | 677.169 | 1 |
Laurent, Hermann; Sturm, Charles-Franois; Prouhet, Eugne
Title:
Cours D'Analyse de L'Ecole Polytechnique, Volume 2
ISBN:
97811439188 Cours D'Analyse de L'Ecole Polytechnique, Volume 2 | 677.169 | 1 |
... I like the pattern of a set of problems for class and a parallel set of problems for homework... Maths needs practice and this is where I am always looking for materials. These provide a good mix of problems. — B Edwards, Maths Teacher & Independent Reviewer
"A vey good set of class and homework revision sheets with a very good range of questions to test the full ability range... It was clear and accessible to all students (higher tier)... I am looking forward to using it." — P Collins, Head of Mathematics & Independent Reviewer
"A good source of supplementary material for prep/homework for students in the time leading up to the final examination, or mock examination... I particularly liked the style of questions - short, sharp, to the point... I feel that this resource could be used throughout the term as a reminder of things done previously, in the run up to mock exams, or the final examination... diagrams [are] all clearly labelled and easy to understand." — K Martin, Maths Teacher & Independent Reviewer
"A very good supplement to the other IGCSE resources... Well presented and good coverage of syllabus... We like the idea of classwork followed by homework on same topic. Topic based stuff is excellent and complements the Quick Revision Guide... Focus on a topic at a time... Bite sized chunks very manageable. Differentiated work in evidence will be good for all sets of different abilities... This will help and will provide variety." — I Hay, Maths Teacher & Independent Reviewer
"An excellent set of topic based questions... Good to have a set of questions to be done in the class and then a follow up set of questions to be done at home/at a later date. Excellent format to encourage reviewing previous work." — S Walker, Maths Teacher & Independent Reviewer
"The resource is well matched to the IGCSE specification and includes alot of practice questions to reinforce and consolidate the learning of students... The resource matches the specification well and will challenge students." — B Patel, Head of Maths & Independent Reviewer
"Clear questions well focused to the syllabus. Ability to reinforce for homework what has been revised in class... as part of a revision strategy these questions will work well... a good value resource and would be useful for consolidating learning and for providing the opportunity for gaps to be identified and plugged." — C Morris, Head of Mathematics & Independent Reviewer | 677.169 | 1 |
Algebraic Equations Quizzer
This comprehensive, 6 page "Quizzers" edition of our best-selling Algebraic Equations guide features a new list of sample problems you can perform that cover every element featured in the original version—from second-degree quadratic and polynomial equations to logarithmic functions. With helpful hi
Polynomials are expressions that are formed by adding or subtracting several variables called monomials. Monomials are variables that are formed with a constant and a variable of some degree. Examples of monomials are 5x3, 6a2. Monomials having different exponents such as 5x3 and 3x4 cannot be added or subtracted but can be multiplied or divided by them.
Polynomial Operations & Factoring {guided notes & practice}
22 pages of notes and practice to guide students through polynomial operations including: classifying by degree & number of terms addition & subtraction multiplying by monomials & binomials factoring by GCf factoring trinomials with a=1 and a>1 factoring by grouping dividing by binomials From the miss jude math! TPT store, where every purchase funds scholarships for youth in need | 677.169 | 1 |
Taken literally, the title "All of Statistics" is an exaggeration. But in spirit, the title is apt, as the book does cover a much broader range of topics than a typical introductory book on mathematical statistics.
Algebraic topology is a basic part of modern mathematics, and some knowledge of this area is indispensable for any advanced work relating to geometry, including topology itself, differential geometry, algebraic geometry, and Lie groups.
All the tools necessary to understand the concepts underlying today's statistical physics. A Modern Course in Statistical Physics goes beyond traditional textbook topics and incorporates contemporary research into a basic course on statistical mechanics.
This volume is dedicated to statistical inference - a process of drawing general conclusions from data in a specific sample. The present book differs from the latter since it focuses on problem solving and only a minimum of the theory needed is presented. | 677.169 | 1 |
Voss
TrigBible is a BASIC program based on a concept created by the teachers in the math department at Mt. You can solve for the angle by using an inverse tangent function: in the right triangle above? There are various mathematics books for IIT JEE which explain all the important topics in detail. The second book compares quite favorably. UPDATE: The program now shows the input on the result screen, if that differs from the value on top. Trigonometry is about angles and triangles, there are relationships between the angles and the ratios of the lengths of side of the triangles.
Extension to negative, zero, rational, and irrational exponents Properties of graphs of exponential functions. Applications to simple population problems On the represenation of a function by a trigonometric series. Jenny Brundin/Colorado Public Radio hide caption Whaley and students use a T square before they cut a piece of steel for their bale feeder. Get them wrong, and you waste a lot of steel. Many of his students aren't taking upper-level math classes, so Whaley asked Maggie Bruski for help. Bruski teaches math at Soroco and thought this feeder would be a perfect way to reinforce the Common Core math standards she uses in class (and that teachers in more than 40 other states are using, too) Trigonometry [Paperback] [1987] (Author) John R. Durbin. Maths for dummies, free printable math workbooks, college math tutoring at rutgers, simplifying exponential expressions, how to turn an uneven fraction into a mixed number. Factor the trinomial online calculator, free \online trinomial factorer, second order linear differential nonhomogeneous equation, graphing calculator ti 86 error 13 dimension, simplifying radical expressions answer key, free online math help with radicals ELEMENTARY TRIGONOMETRY. First developed as a branch of geometry focusing on triangles during the third century B. C., trigonometry was used extensively for astronomical measurements. The major trigonometric functions, including sine, cosine, and tangent, were first defined as ratios of sides in a right triangle pdf. This volume includes numeration and arithmetic, algebra, geometry and trigonometry download. When the FBI traces, say, the location of a cell phone by triangulation, they're really using basic trigonometry Algebra and Trigonometry: A View of the World Around Us. Aptitude Test paper with answers, ALGEBRA WITH PIZZAZZ!, quadratic equation in matlab, mathematics translation worksheet. Free worksheets-integers, factoring polynomials that don't group, texas instruments ti-83 plus square root, using parentheses in math worksheets, Simplifying Variable Equations Worksheet, free help with my 7th graders math homework Mark Dugopolski'sTrigonometry (3rd Edition) (Dugopolski Precalculus Series) [Hardcover](2010).
Another method is to expand the letters into a sentence, such as "Some Old Hippie Caught Another Hippie Trippin' On Acid". [18] Trigonometric functions were among the earliest uses for mathematical tables. Such tables were incorporated into mathematics textbooks and students were taught to look up values and how to interpolate between the values listed to get higher accuracy Mathematics Made Simple - This Proven Method Provides A Complete Introduction To Algebra, Geometry, And Trigonometry. We take a pride in delivering quality custom essay writing services as well as offering our student clients great deals. By ordering essay writing online from us, you can be totally sure that your paper will be original, sent back to you on-time, and will be completely affordable By PRENTICE HALL - Algebra and Trigonometry: Functions and Applications (Prentice Hall Classics) (4/15/05). To create a mixed number, delete the parenthesis and put a space between the whole number and the numerator of the fraction. For example, for 2¼ type 2 1/4. [/frame]Exponents – Type the base before the ^ symbol and the exponent in parenthesis epub.
One of the best books written for the undergraduate to learn probability is the book by Gordon. Despite the restriction to discrete probability this book is a superb general introduction for the math undergraduate and is very well organized. As a rule I think that the best books to learn probability from are those on modeling. For example, perhaps the best writer on probability is Sheldon Ross Plane & Spherical Trigonometry 3RD Edition. Three levels of online questions which look at finding missing lengths and angles in right angled triangles in 2D (level 1) and 3D (Level 2, suitable for Higher tier students) and Exam style questions (Level 3, more suitable for Higher tier students) PRENTICE HALL MATH ALGEBRA 2 PRESENTATION EXPRESS CD 2007C (Prentice-Hall Mathematics). To do this, we often use trigonometry, which is much easier when a right triangle is involved. A right triangle (like the one in the figure to the right) has one angle that is 90°. The other two angles are always less than 90 ° and together add up to 90°. Note that the triangle on the right has 3 angles a, b and c and 3 sides, A, B, and H, and 3 angles a, b, and c College Algebra and Trigonometry Chapters P-7, Seventh Edition. Some information is subject to change without notice 100 Worksheets - Finding Larger Number of 8 Digits: Math Practice Workbook (100 Days Math Greater Numbers Series) (Volume 7). Fill in your details below or click an icon to log in: You are commenting using your WordPress.com account. ( Log Out / Change ) You are commenting using your Twitter account. ( Log Out / Change ) You are commenting using your Facebook account. ( Log Out / Change ) You are commenting using your Google+ account. ( Log Out / Change ) His problem dealt with why the seasons are different lengths. Hipparchus used the observed lengths of each of the seasons to determine the arc length traveled by the sun in its orbit during each season Tables of [Symbol for Square Root Of: 1-R²] and 1-R² for Use in Partial Correlation and in Trigonometry. The selection of this number was made in very early days in the history of the world, and we know, for example, from inscriptions that it was employed in ancient Babylon. The number probably arose from the division of the heavens by ancient astronomers into 360 parts, corresponding to what was reputed to be the number of days in the year online. If the angle of elevation from Devon to the top of the Eiffel Tower is close to 84.6°, how tall is the tower Trisection of the Angle by Plane Geometry: Verified by Trigonometry with Concrete Examples.? Simply use the buttons either on the left under the Share The Site heading or the buttons below. Click the image to be taken to that Math Worksheet Section. The sine, cosine, and tangent functions are not invertible on their natural domains. In order to define the arcsine, arccosine, and arctangent functions, the domains of the sine, cosine, and tangent functions must be restricted to intervals on which each of these functions are one-to-one and thereby invertible read Voss online. However, this is an international event, and over 6,000,000 participants in about 60 countries are expected to participate in Math Kangaroo 2016 worldwide Wiley trigonometric tables. Recommended for prospective mathematics concentrators, and science and engineering students who have a good mathematical preparation. Topics include: matrices, linear equations, determinants, characteristic polynomials, and eigenvalues; vector spaces and linear transformations; inner products; Hermitian, orthogonal, and unitary matrices; bilinear forms; elementary divisors and Jordan normal forms An account of the operations carried on for accomplishing a trigonometrical survey of England and Wales; from the commencement, in the year 1784, to the end of the year 1796. Volume 1 of 3. | 677.169 | 1 |
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Unformatted text preview: Math 2243 Name (Print)
Spring 2003 FINAL EXAM Signature_______________.____._——— Recitation Instructor Section__.__. l.D.# READ AND FOLLOW THESE INSTRUCTIONS This booklet contains 13 pages,including this cover page. Check to see if any are missing.
PRINT on the upper right—hand corner all the requested information, and sign your name.
Put your initials on the top of every page, in case the pages become separated. Textbooks,
notes and calculators are not permissible. Do your work in the blank spaces and back of pages of this booklet. Show all your work! There are 11 machine-graded problems, each worth 9 points. There are 6 hand-graded
problems of varying worth for 101 points. This gives a total of 200 points which will be rescaled to 300 INSTRUCTIONS FOR MACHINE-GRADED PART (Questions 1-11):
You MUST use a soft pencil (No. l or No 2) to answer this part. Do not fold or tear the answer sheet, and carefully enter all the requested information according to he instruc-
tions you receive. DO NOT IVIAKE ANY STRAY MARKS ON THE AP-T'SWER
SHEET. When you have decided on a correct answer to a given question, circle the answer
in this booklet and blacken completely the corresponding circle in the answer sheet. If you
erase something, do so completely. Each question has a correct answer. If you give two
different answers, the question will be marked wrong. There is no penalty for guessing,
but if you don't answer a question, skip the corresponding line in the answer sheet. Go on to the next question. INSTRUCTIONS FOR THE HAND-GRADED PART (Questions 12-17):
SHOW ALL WORK. Unsupported answers will receive little credit. Notice regarding the machine graded sections of this exam: Either the student or the
School of Mathematics may for any reason request a regrade of the machine graded part.
All regrades will be based on responses in the test booklet, and not on the machine graded
response sheet. Any problem for which the answer is not indicated in the test booklet,
or which has no relevant accompanying calculations will be marked wrong on the regrade.
Therefore work and answers must be clearly shown on the test booklet. AFTER YOU FINISH BOTH PARTS OF THE EXAM; Place the answer sheet
between two pages of this booklet (make a sandwich), with the side marked "GENERAL PURPOSE ANSWER SHEET" facing DOWN. Have your ID card in your hand when
turning in your exam. Multiple choice part ______ Hand—graded part Total 16 1 Letter Grade _____ Mmm I ,7
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{fine '3'}, 33,5, {SQQEE _ DUthtal . t
1Le 3 y' — —y : sin .73.
:1;
Then an integrating factor for this linear differential equation is given by: A. 11:3
B. g
C. m'3 E
:1: Di e— 81:» Be 2. The differential equation, d2y dy
_ 2— =
dtz + dt +53; 0, describes the motion of a loaded spring from its rest position, y = 0. If y(0) = 0 and %(0) = —1, then the first time the spring returns to y = 0 is: Ala :4 .U .0 w .>
Ali? wl's' we 3. P is the family of parabolas y 2 09:2. Then the orthogonal trajectory through (1, l) is:
A. y2 + 2x2 = 3
B. y = —-%—:c + g
C. 3:2 + y2 =
D. 11:2 + 3y2 = 4 E.x2+2y2=3 4. A change of variables that Will turn into a linear differential equation is: A.u=y%
"%
B Uzi—mm
C.u=}i
D.u=cc3y
E.u=y-% '5. Let
T2R2~+R3 be a linear transformation and let
T(1, —2) = (1, ——1, 1), T(2,3) = (2,1,1). Then T(1,0) = A "00
H
01 \_/ \lh—I ash- '1'" (2,5, —2)
( . (7,2,5) 6. Let Then the cofaetor of a2,3 is:
A. 10
B. 20
C. —20
D. —10
E. —8. 7. Let
2
A: l b—'lOO
03030 —1 We know that there is an invertible matrix S and a diagonal matrix D, such that
S"1AS = D. Then this diagonal matrix D can be chosen to be:
A. diag(0,2, 5)
B. diag(2, —2, 3)
C. diag(—-2,0, 5)
D. diag(5,2,2)
E. dia.g(5,2, —3) 8. Let M2 (R) denote the vector space of real 2 x 2 matrices. Then a basis for this vector
space is given by: At 8% [8 8H: '5}-
3. a], [3 3], -3 '2'], i8 3]- 9. Let Then, detA 2:
A. —20
B. 10
C. ~10
D. 20
E. 0 10. Let Then 3:1 2:
A. clet +'cze—2t
B. 01th + age—t
C. cle'at + C282t
D. C1€3t + c262t E. 016' + 02 1 1 2 —1 —l 1 1 2
A —_ 2 -2 1 1 1 ——1 1 —2 (D — 1):c1— 2$2 = 0 and
—2:1:1 + (D + 2)a:2 = 0 11. Let P4 be the vector space of polynomials of degree 3 3. Then dimP4 2: A.4
B3
(3.2
D.5
E6 12. (26 points) Find the solution to the initial value problem: gig: 'flx, 32(0): l3.(15 points) Are the functions 62', e'3t,t linearly independent on the line (—00, +00)?
Prove your answer. 14 (15 points) Let Find the rank of A- 15. 15 points) Let A be the matrix of Problem 14. Find all the solutions to the system of algebraic equations:
A11: = O. 16.(15 points) Let A be an arbitrary 3 X 5 matrix. Show that the vectors Arr, as :1: varies
over R5, form a subspace of R3. 17. (15 points) Find the general solution for the differential equation 2 e: 2/
d3: $24-1- ...
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GeoGebra is an outstanding technology tool that improves mathematics education. It is a quality 21st century transformative application that enhances and supplements the traditionally memorization-based study of geometry. Through simulations, students create concrete representations of geometric theorems instead of abstractly configuring images in the mind.
The conventional classroom study of geometry is based on students' innate trust in their teachers and textbooks which, they assume provide mathematically sound information. Traditionally, teachers introduce theorems to their students who apply these memorized theorems in proving or disproving given geometric statements.
No longer should students accept the traditional classroom geometry experience as complete! GeoGebra is an exciting, web-based application that eliminates the unknowns and ideas students previously inherently accepted as truth, and instead allows users to see the big picture by learning geometry through discovery rather than memorization. With the addition of GeoGebra in the classroom, students transform from passive classroom observers to active, excited participants! Meaningful learning occurs as the students manipulate and test data within the GeoGebra[1]
GeoGebra located at is a dynamic software package that encourages students to visualize geometric transformations and observe geometric theorems in real-time. It is a free, open-source tool that broadens the study of geometry to incorporate algebra and calculus. GeoGebra was specially designed by Markus Hohenwarter for middle school and high school students and has won several prestigious awards such as the European Academic Software Award (2002), the Austrian Educational Software Award (2003), and the German Educational Software Award (2004). GeoGebra is multi-faceted in that it can be used as both a teaching and a learning tool. Teachers can instruct students by providing step-by-step instructions in order that students may construct certain, preconceived figures and/or shapes. In contrast, learners may independently build their own geometric creations using the principles of constructivism to generate knowledge.
GeoGebra is user-friendly as evidenced by the ease of use by twelve through fourteen-year-old eighth grade students. What sets this geometry tool apart from other programs is its dynamic link to the algebraic representation of the data, and the manner in which this interconnectivity is presented. The manner is simple, straightforward, and by no means overwhelming. GeoGebra provides a seamless link between the various mathematical sciences: Geometry, algebra, and calculus. GeoGebra is a free program making it completely accessible to students with a computer with internet access. It is engaging, responsive, and empowering and will enhance the study of geometry with appropriate integration into the traditional curriculum. GeoGebra makes learning geometry fun and promotes the study of mathematics and technology amongst secondary students. It uses a constructivist approach to learning and encourages exploration, creativity, and learning by doing.
Users have three options in creating GeoGebra files: Menu options, toolbar icons, or manual entry in the input text box displayed at the lower left of the screen. The menu options include commands such as changing the settings and properties such as point style, language, axes, right angle style, and coordinates; toolbar customization meaning the user can change or remove icons; and additional features such as creating custom tools, saving files, and print preview. The toolbar icons differ from the menu options in that it focuses solely on the construction of objects such as points, lines, vectors, and polygons. Toolbar icons contain drop-down boxes with more specific options (see figure 2).
For instance, if a user selects the line option, the drop-down menu includes perpendicular line, parallel line, line bisector, angular bisector, tangents, polar or diameter line, and locus. The toolbar icons are not available from the menu options. The manual entry box offers users the opportunity to input algebraic versions of geometric figures. For instance, a user may type in a line in the format y=mx+b, replacing m and b with slope and y-intercept values. Upon completion of the formula, the user slects the "Input" button, and the figure (in this case, a line) appears on the screen.
In figure 3 below, note that each blue point displayed on the screen has its corresponding coordinates displayed numerically in blue font in the algebra window on the left side of the screen. Likewise, the light blue line has its algebraic representation (also in light blue font) in the algebra window. Each green line segment in figure 3 has its corresponding length located in the algebra window in green font. The coordination of the geometric and algebraic representations is easily recognizable due to the color-coding.
The purpose of GeoGebra is to explore and manipulate relationships between the algebraic and geometric representations of figures. This allows students to make connections between various courses of study in mathematics and provides a richer, deeper understanding of the mathematical sciences as a result. In figure 4 below, the table describes how to create simple geometric figures using both the toolbar and the algebra window in order to explore these relationships.
•Coordinate Geometry - Students may determine the distance between two points
•Coordinate Geometry - Students may locate the midpoint of a line segment
•Coordinate Geometry - Students may determine if lines are parallel or perpendicular and derive differences and similarities in algebraic representation of these lines.
•Coordinate Geometry - Students may find the slope of a line and manipulate data to change the slope of the line.
•Coordinate Geometry - Students may determining the slope-intercept form of an equation given a line.
•Basic Geometry - Students may determine perimeter and area of given polygons and circles.
•Basic Geometry - Students may discover properties of polygons and circles.
•RECOMMENDATION: Allow students to use GeoGebra to explore relationship between algebra and geometry through a constructivist approach (rather than providing structured, step-by-step instructions or activities). The more time students spend using the program in this manner, the greater their understanding of the interconnectivity of mathematics will be. | 677.169 | 1 |
Integer-valued polynomials on the ring of integers have
been known for a long time and have been used in calculus. Pólya
and Ostrowski generalized this notion to rings of integers of
number fields. More generally still, one may consider a domain
\(D\) and the polynomials (with coefficients in its quotient
field) mapping \(D\) into itself. They form a
\(D\)-algebra—that is, a \(D\)-module with a ring
structure. Appearing in a very natural fashion, this ring possesses
quite a rich structure, and the very numerous questions it raises allow
a thorough exploration of commutative algebra. Here is the first book
devoted entirely to this topic.
Graduate students and research mathematicians interested
in commutative algebra and algebraic number theory.
Reviews:
Begins with two interesting introductions (both historical and
mathematical) and includes almost 300 exercises … this makes
the text not only a volume for experts, but usable in a classroom
setting. Its bibliography … is by far the most extensive on
this subject … an excellent book for readers new to the
subject. For readers familiar with the field, it will be the key
reference for many years to come.
-- Mathematical Reviews
The authors succeeded in presenting everything of importance in the theory
of integer-valued polynomials and this short review cannot do justice to
the rich contents of their book. The presentation of the material is very
good and the book offers a pleasant reading.
Learn about AMS eBooks
Natural Math Series
Natural Math is a community for families, math circles, and other learning groups interested in creating rich, multi-sensory experiences for children early on. Titles are published by Delta Stream Media, an Imprint of Natural Math, and distributed worldwide by the AMS. | 677.169 | 1 |
Basic Algebraic Geometry, Volume I, is a revised and expanded new edition of the first four chapters of Shafarevich's well-known introductory book on algebraic geometry. The author has added plenty of new, mostly concrete geometrical material such as Grassmannian varieties, plane cubic curves, the cubic surface, degenerations of quadrics and elliptic curves, the Bertini theorems, normal surface singularities. There are also some new number-theoretical applications. Shafarevich succeeds in making algebraic geometry accessible to non-specialists and beginners and his two-volume book will remain one of the most popular introductions to this field. The book is suitable for third-year undergraduates in mathematics and also for students of theoretical physics.
Promise Angels is dedicated to bringing you great books at great prices. Whether you read for entertainment, to learn, or for literacy - you will find what you want at promiseangels.com!
I have been a student of AG for the past six years and I have come to the conclusion that Shafarevich is a great place to start. Having said this, one must have the necessary background in algebra and topology. I disagree with the other reviewer about doing this after Hartshorne--start here then do Hartshorne!!! Oh ya, the index refers to both volumes 1 and 2; read the first page of the index!!!
After Hartshorne!!! Dec 3, 2003
This book is very good for the secondary course after learning with Harshorne's Algebraic geometry | 677.169 | 1 |
Burger's 4th edition of Heart of Mathematics builds on previous editions based on math appreciation and an emphasis on critical thinking. The text is noted for its readable writing style, broad range of topics, and presentation of the classic mathematical ideas in a fun and interesting way. Topic coverage of the text is more traditional "skill-drill topics" such as graph theory and algebra with an entirely new graph theory section and additional computational exercises to the end of each section. Furthermore, this edition offers an engaging and mind-opening experience for even your most math-phobic users. It's written for non-math, non-science-oriented majors and encouraging them to discover the mathematics inherent in the world around them. Infused throughout with the authors' humor and enthusiasm, "The Heart of Mathematics" introduces students to the most important and interesting ideas in mathematics while inspiring them to actively engage in mathematical | 677.169 | 1 |
CSMP Mathematics for the Intermediate Grades Part II, Teacher's Guide. The Languages of Strings and Arrows. Geometry and Measurement. Probability and Statistics An explanation is provided of the languages of strings and arrows or classification and relations. This guide emphasizes functions as well. The String Game is presented as a means of using sets to stimulate logical thinking. Geometry, Measurement, Probability, and Statistics comprise the latter half of the guide. (Author/SA) | 677.169 | 1 |
Description:
Created by Patrick and Nannette Bibby at Miami Dade College, this learning community combines courses in Discrete Mathematics and C++ Programming integrating mathematical topics such as set theory, relations, and combinatorics with programming topics such as algorithms, selection structure, and sequential files. Visitors will also find sample student projects and the resulting C++ program code. This is a helpful resource for any programming or discrete mathematics classroom. | 677.169 | 1 |
Families of Functions
Presentation (Powerpoint) File
Be sure that you have an application to open this file type before downloading and/or purchasing.
0.14 MB | 12 pages
PRODUCT DESCRIPTION
This lesson is designed to review translations, reflections, and dilations of functions with Algebra II students. It covers writing equations based on transformations and identifying transformations based on equations | 677.169 | 1 |
Most Recent Documents for Langley Secondary
Foundations and Pre-Calculus 10
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Example #1: Calculate the length of to the nearest tenth of a centimetre
Problem:
Solution:
Example #2: Determine the height of the taller building to the nearest
Foundations and Pre-Calculus 10
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A _ is the set of points in space that are the same distance
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4.2 Irrational Numbers
Irrational number:
Determine which of the following numbers are irrational:
100
9
64
0.25
1
3
0.24
0.82
8
9
5
6
2
Together rational and irrational numbers form the set of real numbers. This is how these number
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E
3.5 Polynomials in the Form x2+bx+c
In this section we will multiply binomials (expand) to find they result in trinomials and factor
trinomials into two binomials. Remember: Factoring and expanding are
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3.3 Common Factors of a Polynomial
Polynomial:
Examples of:
binomial:
monomial:
trinomial:
Remember: You can only add/subtract like terms.
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In Arithmetic
In Algebra
Modeling with algebra tiles:
What expression
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a base that is a polygon. The shape of the polygon determines the name of the
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Foundations and Pre-Calculus 10
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Solving a triangle means to determine the measures of all the _
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We can use any of the three primary trigonometric ratios to do this.
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Foundations and Pre-Calculus 10
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We name the sides of a right triangle in relation to one of its acute (less than 90)
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Foundations and Pre-Calculus 10
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Foundations and Pre-Calculus 10
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How do you know? _
Foundations and Pre-Calculus 10
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Direct measurementuse _ to
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Indirect measurementuse _
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Foundations and Pre-Calculus 10
1.3 Relating SI and Imperial Units
In Canada we use a system of measurement called the SI system. The SI system of
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Foundations and Pre-Calculus 10
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sy | 677.169 | 1 |
MATHCAD is a software program that uses a unique method to manipulate formulas, numbers, text, and graphs. Unlike programming languages, the equations are written as they would appear in a mathematics reference book, against a background screen in which descriptive text may be placed arbitrarily.The equations may be solved analytically or numerically by using functions from a pull-down menu bar. Descriptive text may be placed anywhere inside the document. MATHCAD also produces one-, two-, or three-dimensional plots which may be embedded anywhere in the document.There is also on on-line reference system to assist users. Any document on the screen can be printed out in its entirety on any windows compatible printer. The combination of equations, text, and diagrams in an open-screen environment makes application development easy.
Note to users of this document. The methods and procedures of this document may be different in your version of Mathcad. This may be an obstacle if you let it be one. However, instances of version incompatibility should be few. Every effort has been made to keep the exercises here in a form that crosses most levels of Mathcad. You may need to refer to your Mathcad manual for details for performance of certain operations on your particular version of Mathcad.
Part I - Preliminary Exercises
1. Begin your MATHCAD session by selecting Mathcad in the Start/Programs/Mathsoft Applications menu.If Mathcad isn't installed on your PC you'll need to first select Start/Network Programs/Mathcad Install.You may wish to work through the Overview and Getting Started sections in the Mathcad Tutorial (Help/Tutorials) before you start working through this document.
2. Simple keyboard practice.Notice the structure of a Mathcad page. It is like a white piece of paper. Sample the various pull down menus. Notice how groups of possible actions are grouped together.
Entering simple equations onto the MATHCAD page.Using the space to the right of this text box,
enter 16-8/2=
Note how the division sign behaves. Pressing = produces the numerical result of the operation.When entering expressions for calculations, do not put in spaces.Mathcad will put them in for you, and if you put them in, Mathcad will think you are entering text rather than an expression to be evaluated.
To produce (16-8)/2, one should either type the entry with the parentheses included, or type 16-8 and then highlight the entire operation, and then press the division button. What ever is highlighted, i.e. in the blue box, will appear in the numerator. Try this step now in the space to the right of this text box.
Thehierarchy of operator evaluation follows the commonly used standards. Powers are followed by multiplication and division, followed by addition and subtraction.
Pressing the = evaluates the mathematical sequence and returns the numerical value to the right of the equal
sign.
To take the power of a function use the carat symbol (Shift-6). Evaluate 4 squared to the right. Practice now with other squares. You can make your practice exercises right here in this document or print this document and create your own collection of answers to the exercises. Save your file periodically in case of a computer glitch. You can also annotate your document with text regions. This will give you a personalized tutorial document that you can refer to if you forget something you learned here. You can also add sample exercises to your personal document as the academic term proceeds. This is important because you may need to refer to techniques from one exercise to the next and you don't want to waste time recreating a technique that was already constructed in your practice files.
Most users of Mathcad have a file of techniques that they can refer to for new work. Start your file or notebook of techniques today.
3. Variables
Variables are easily defined in MATHCAD. If you wish to define the variable x and set it equal to 10,type x:10.
The colon acts as the PASCAL operator := , which is what you see on the screen.This operation assigns the value 10 to the variable x.
Now enter y:= 2*x^2 +15.Type only the characters shown in bold, i.e. do not type the = sign.
This defines y in terms of x.Next evaluate y by typing y=
The answer, 215, should appear on the screen.Each entry that you typed should lie below the previous one to for a column of expressions.
MATHCAD evaluates expressions from top to bottom and left to right on the screen.
Sequential entries of equations and data must follow the order for MATHCAD to give the result that you desire. Syntactically incorrect entries will result in various types of MATHCAD error messages.
If you want a function y(x) without first assigning a value to x, you must use a function definition.The following are examples of functions.
y(x):=6+x(Remember that typing the colon button gives := on the screen )
z(x,y):= 3*x + 9*y -5
Now use Mathcad to find the value of z(1,1).Note that x and y above act as dummy variables. One can set x and y to any value and then ask for z(x,y). Practice evaluating the following functions at several different values of x and y.
Typek:1,1.1;2 Now typek=
What do you see?What are the values for k?How might this be useful?
4. Graphics
MATHCAD has a strong graphics program, which plots a function against a variable.Suppose we wish to graph t2 vs. t in the region -10 < x < 10.First, define a function tsq(t) in which each element is equal to t2 .Then define a range of values for t.
Enter: tsq(t):=t^2
Nowuse the Insert pull-down Menu bar and choose Graph, XY plot.A square appears on the screen. Click on the black dot at the middle of the vertical axis and enter tsq(t) using the appropriate key strokes.
Click on the dot at the middle of the horizontal axis and likewise enter t.Click outside the graph to execute your commands.You can change the plotted range by clicking on the numbers at the ends of the graph axes.Put the limits -10 and +10 on the t axis.
It is possible to graph two- and three-dimensional functions. You will see more of these later.
5. Multiple line graphs.
MATHCAD can also be used to prepare graphs of several functions.As an example of this you can prepare two representations of typical molecular potential energy functions.
Enterr.e : 1.0D : 100a : 6/r.eandr : 0.5,0.53;3.0
Note what appears on your screen. What is the step size between each value of r?
In the space on the right here type in the following equations. Be very careful. The two equations are the Morse potential and the Lennard Jones 6-12 potential, respectively, for the potential energy of a diatomic molecule as a function of bond length, r. You can find graphs of these two functions in many physical chemistry or modern physics texts.
V.M(r):D*(1-e^ - a*(r-r.e))^2
and
V.LJ(r):D*((r.e/r)^12 - 2*(r.e/r)^6) + D
Note that the Lennard-Jones potential, VLJ(r), has two terms within the outer parentheses.Be sure to place the cursor under the entire first term before typing the - sign.
These equations make use ofthe literal subscript concept. There are two types of subscripts in Mathcad. The one used here is a subscript that is part of the name of a variable. This is called a literal subscript, and it is created by using the period followed by the letter or number that part of the variable name. The other subscript is an index, such as the index of the elements of a vector, v1, v2, .... It is called a vector subscript and is created by typing the [ key followed by the number or symbol of the index.
This time create a graph by pressing the @ symbol.
Enter r in the place holder on the x axis.
Enter V.M (r), V.LJ(r)into the y axis place holder.(Yes, use a comma. It is the comma that lets you put two functions on the same graph)
The graph will not look very informative, because the default upper limit on the y axis is too large. Click on the place holder for the upper value of the y axis. The number should become highlighted. Press delete once. Then enter 200 as the new upper limit into the blank place holder.The resulting graph should look familiar.
Double click on the graph, and change the graph to display points rather than a line.Note how our earlier definition of r as a discrete set of points affects this graph.Change the definition of r to see how the graph changes.
6. Evaluating mathematical expressions: Mathcad can be used to evaluate expressions numerically. Here we see a calculation of pressure as a function of volume using the van der Waals equation.
Here we will study the PV behavior of He gas at low temperature with the van der Waals equation.First we define the parameters that we will use in the calculation. Remember that Mathcad uses the := to associate a number with a variable name. The same := is used to define functional relationships as shown here for P(V).Use the : key to define the following variables:
n :=1, R := 0.08206, T := 4.2, b := 0.0238, a := 0.0341
Next we write the van der Waals (vw) equation and the ideal gas law. Notice how we define P as a function of V.Retype these definitions yourself on the right-hand sheet.
Notice how the equations looks like what you would write on a page in your notebook. This is one of the advantages of using Mathcad. Note that vw and ideal are literal subscripts.
PV
nRTVnba
nV2PV
nRTV
Now evaluate these functions for V = 1.For example, type "Pvw(1)="Now change the value of T (above) to see how the pressure changes.
We already saw how easy it is to prepare graphs with Mathcad. Practice this in the space to the right. Create a graph, and fill in the place holders with Pvw(V) and V. Be careful about which type of subscript you use here. Choose values for the limits on P; choose 0.25 and 2 for the limits on V.Remember that most of the time you will need only to place the x and y variable names in the place markers for them. Mathcad will generate the scale of the graph for you. However if you want to adjust the scale or formatting of the graph then you can double click on the graph itself. Try this and see what happens.
Exercise: Add Pideal(V) to the graph by clicking on Pvw(V), using the space bar to highlight all of Pvw(V) with the cursor, typing a comma, and then P.ideal(V).Notice that the graphs for Pvw and Pideal are very different.Examine the effect of temperature on the relationship between Pvw and Pideal by change the value of T to 6, 8, 10, 15, 25, and 50.Notice that by the time you get to T=50, the pressures have gotten awfully large.Observe the effect of these changes on the two graphs.What conclusion can you come to about the temperatures and pressures at which the van der Waals and ideal gas equations produce significantly different results?
7. Units: Units are easy to use in Mathcad. To see the correct spelling of the unit names pull down the Insert/Unit menu.This opens a window in which the current system of units is identified and a scroll of types of units available. Find the energy entry. In the square brackets you will see that Joules are written as joule when included as a unit in a calculation. More information about units is given in the Help menu. Here we review only a few of the basics.
Here the mass is defined for a problem. The unit kg is added to the value for mass by simple multiplication. The same procedure is used for the acceleration. Then we define the force as F. Typing F = where the ordinary equal sign is used yields the result of the calculation including units. Whenever units are used to define a variable then units are produced in the answer.
The calculation is now extended to include momentum. Notice the time unit.
mass25kgacc9.81
msec2FmassaccF245.25time5sec
Units are important for checking equations to be sure a derivation is correct. If units are incompatible then Mathcad will give you an error message.
momentum
Ftimemomentum49.05wrongmassacc
Exercise: Using the ideal gas law, calculate the pressure when 200 grams of CO2 are confined to a volume of 2 liters at 400 oC. Include all required units.
8. Integrals (numerical evaluation): Integrations are easily performed using MATHCAD.(See #12 in this document for information on symbolic evaluation of integrals.)To evaluate an integral open the calculus palette and choose the definite integral symbol. Clicking this produces an integral sign with place holders for the upper and lower limits, the function and variable.Fill in this so that you evaluate the integral of exp(-x2) from 0 to 2.When you enter this expression be sure to remember that exp means e .Notice how the power of a power is handled by MATHCAD.
xex2020.88208139076242154
Exercise: Evaluate the work that 1 mol of an ideal gas would do if it expanded reversibly and isothermally from 1.0 liters to 5.0 liters at 27 oC. (You will need to evaluate the definite integral of (nRT/V)*dV.Include units on your parameters.)
9.Propagation of errors in calculations.
Suppose a quantity f is to be calculated from the experimental quantities a and b.Let the uncertainties (standard errors) in a and b are sa and sb, respectively.Because a and b are uncertain, then there will be uncertainty in the calculated value of f.The relationship between sf, sa, and sb is
Exercise.One mole of an ideal gas has a volume of 20.0 + - 0.1 liter and a temperature of 300 + - 0.2 K.Calculate the pressure and the uncertainty in the pressure.
10. Numerical solutions to equations. In physical science we are often asked to solve equations by finding the values of a variable that satisfy the equation. Here we see some simple examples of solving equations. Mathcad will even let you solve differential equations, but that is a story for later.
When solving an equation with Mathcad, we must help the software get started. We do this by providing an initial guess for the root in which we are interested.
a. numerical solution using the root operation
Here we have a quadratic expression. We will use the root operation to find the solutions to the equation expression.Before we do this we must provide Mathcad with an initial guess of the answer.
x234x
Finding a good initial guess is easier if you graph the function.Here I've moved everything to one side of the equation.We want the value(s) of x that make f(x) = 0, i.e. we seek the roots of f(x).
fxx24x3
To get started, prepare a graph of f(x) as a function of x. You might consider using a range for x from -3 to +10. Estimate the two roots from this graph.If necessary, adjust the rangeof x values to help you visually determine approximate values of x for which f(x) = 0.
Now use your guesses to find what Mathcad says the roots are. To the right I have typed in 3.5 and 0.5. Replace these with your roots and try several other initial guesses. Get Mathcad's answer by typing
answer =
below definition of the variable answer.Note that the value returned by the root operation returns the root closes to your initial guess!
x3.5answerrootfxxx0.5answerrootfxx
b. numerical solution using the a Solve Block
An alternative to the root operation is to use a Solve Block.A solve block is a group of commands and equations in which the instructions for solving an equations is contained. Within the solve block you provide the initial guess for the solution, the word given, the constraints (equalities and inequalities etc.), the mathematical function to be operated upon, and the method of operation to be applied to the mathematical function.
x3.5
Provide initial guess for x234x
We now enter the equation we wish to solve.With a solve block it's not necessary to rearrange the equation to get everything on one side.The bold = sign is created by typing ctrl=
answerx
We define a variable named answer, and set this variable equal to the value returned by the Mathcad Find operation.The Find operation ends the solve block.
answer3
Try repeating this with a different initial guess for x
c. symbolic solution using the variable, solve operation
Here we rewrite the quadratic expression as a symbolic equation. The bold = sign is created by typing ctrl=.The bold equal sign is needed for symbolic equations.
Now we will use symbolic menu to find the roots in a more direct way. Place the cursor on the x or highlight the x with a selection box. From the Symbolics dropdown menu choose variable, solve. The answer should appear immediately.
x234x
d. practice.Solve these equations by several methods until you feel proficient.
x34
(How many solutions do you expect to find?)
xex1
(Note that MATHCAD can't find a symbolic solution to this equation!)
11. Simultaneous equations in several variables: Using Solve Blocks.
We now use a solve block to find the values of x and y that satisfy a set of simultaneous equations in x nd y. A solve block is a group of commands and equations in which the instructions for solving a system of equations is contained. Within the solve block you provide the initial guess for the solution, the word given , the constraints (equalities and inequalities etc.), the mathematical function to be operated upon, and the method of operation to be applied to the mathematical function. The procedure is outlined here below for a system of simultaneous equations.
x2y2
Provide initial guesses for x and y for your function.2y210xy1
Since there are two unknowns Mathcad requires two symbolic equalities. These are the two simultaneous equations we want to solve.
xvalyvalxy
To the left we see the use of the Find Mathcad function. The Find function ends the solve block.The matrix has been inserted from the Math toolbar.
Here are the results. To display them I typed the matrix followed by an ordinary = sign. Try this your self for practice. The matrix can be added to the page by cutting and pasting.
xvalyval2.67944947177033651.6794494717703368Givenx2y210xy5
Another example. In this case I chose a different second equation.Here we see that you get a notice, either a message or red version of the expression, if the software can't solve the equations. I wonder why there is no answer here. What do you think?
xvalyvalxy
12. Preliminary remarks on symbolic manipulation
Differentiation
Highlight the variable x with a blue selection box and choosevariable, Differentiate from the Symbolic/Variable pull down menu.
Alternatively, enter the expression using the d/dx operator from the Math toolbar, then select Symbolics/Evaluate
xex2
This yields:
expx22x2expx2
Try this both ways in the space to the left.
Integration
This time highlight the variable and then choose variable, integrate from the Symbolics/Variable menu.
Alternatively, enter the expression using the integral operator from the Math toolbar, then select Symbolics/Evaluate
xex2
You should obtain
-12expx2
Substitution
u21
Highlight this and copy it.
Highlight the x variable and then choose Variable, Substitute from the Symbolic menu. You should obtain:
xex2u21expu212
Try this for yourself in the space to the right.
Acknowledgment: TJZ acknowledges the National Science Foundation for support of the
1997 NSF-UFE Workshop on "Numerical Methods in the Undergraduate Chemistry Curriculum Using the Mathcad Software" and the organizers (Jeff Madura, Andrzej Wierzbicki and Sidney Young, University of South Alabama). | 677.169 | 1 |
steady state solution of system of nonlinear 1st order differential equations
translations exercises in maths for grade 5
slope problems
worksheet on finding a fraction of a number
9th grade algebra function worksheet
standard form algebra
step by step algebra
everyday math definition of area
6th grade math problems with answers
A LEVEL MATHEMATICS PAST PAPERS | 677.169 | 1 |
Do you own a TI-89, TI-89 Titanium, TI-92 Plus, or a Voyage 200 graphing calculator? If you do, or if you need to get one for school or your job, then you need to know how it works and how to make the most of its functions.
TI-89 For Dummies is the plain-English nuts-and-bolts guide that gets you up and running on all the things your TI-89 can do, quickly and easily. This hands-on reference guides you step by step through various tasks and even shows you how to add applications to your calculator. Soon you'll have the tools you need to: | 677.169 | 1 |
Maths is dd1's best subject but she is becoming bored with her lessons and a bit lazy. I've bought a couple of KS3 books for her to supplement her school work, but Algebra is her worst subject and I'd really like recommendations for a good book at her level which explains it clearly and simply. Any suggestions would be welcome as I've hone a quick search on A mazon without luck
I don't know any algebra-specific books, but I've always found the CIMT MEP material to be very clear, with plenty of examples, loads of practice questions gradually increasing in difficulty, and so on. You can buy the text books, or you can just print out the bits you're interested in (or read them from the screen), and there are also some interactive sections for ks3, which is a bit different from just working through a book.
Maths Factor website has an algebra course. It is aimed at early secondary school. Carol Vorderman teaches very clearly; her classes are followed by online tests and there's also printouts, and motivational rewards etc. It is £19.99 for the full course.
PS I am not connected with the Maths factor in any way so not intending to advertise! just to be helpful | 677.169 | 1 |
图书介绍
Description:Computer graphics is important in many areas including engineering design, architecture, education, and computer art and animation. This book examines a wide array of current methods used in creating real-looking objects in the computer, one of the main aims of computer graphics.
Key features:
* Good foundational mathematical introduction to curves and surfaces; no advanced math required
* Topics organized by different interpolation/approximation techniques, each technique providing useful information about curves and surfaces
* Exposition motivated by numerous examples and exercises sprinkled throughout, aiding the reader
* Includes a gallery of color images, Mathematica code listings, and sections on curves & surfaces by refinement and on sweep surfaces
* Web site maintained and updated by the author, providing readers with errata and auxiliary material
This engaging text is geared to a broad and general readership of computer science/architecture engineers using computer graphics to design objects, programmers for computer gamemakers, applied mathematicians, and students majoring in computer graphics and its applications. It may be used in a classroom setting or as a general reference.
Disclaimer: This site is a search engine of ebooks on the Internet and does not store any files on its server. Please contact the content providers to delete copyright contents if any and email us to remove relevant links or contents. | 677.169 | 1 |
Slope (Intuitive Introduction)
47 Downloads
PDF (Acrobat) Document File
Be sure that you have an application to open this file type before downloading and/or purchasing.
0.41 MB | 4 pages
PRODUCT DESCRIPTION
This free lesson activity allows the students to use GeoGebra (the world's leading AND FREE !) dynamic mathematics software package to discover the concept of slope for themselves. In addition, this activity could also be used for meaningful student remediation.
Link to the applet is written on the lesson activity, but here it is for reference | 677.169 | 1 |
practice-midterm-1 - Mathematics 33A, Practice Midterm,...
Mathematics 33A, Practice Midterm, October 12, 2009. Calculators, books, or notes of any kind are not allowed on the exam. There are 11 items on this practice exam altogether, and they all have equal value. Answer as many of them as you can in 50 minutes . You must show your work in all questions. The questions are not always arranged in order of diFculty. Look through them when you start so you get an idea of the time you'll need. If you're not sure what to do on an item then move onward and return to it later. (Some of the questions can be solved with geometric reasoning instead of lengthy computations; this may save you some time.) After taking the practice test, grade yourself as follows: ±or each fully correct answer give yourself 5 points. ±or a score at the A range you should aim to have fully correct answers for at least 9 questions, within the allotted 50 minutes. Good luck.
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College Algebra, Hybrid (Hybrid ed of 6th Revised ed)
Description
Reflecting Cengage Learning's commitment to offering value for students, this new hybrid edition features the instructional presentation found in the full text while delivering end-of-section exercises online in Enhanced WebAssign(R). Your instructor has seen the benefits of Enhanced WebAssign, which is included with this text, and has integrated its use into your course giving you an interactive learning experience with the convenience of a text that is both brief and affordable. Learn to think mathematically and develop genuine problem-solving skills with Stewart, Redlin, and Watson's COLLEGE ALGEBRA, Sixth Edition. This straightforward and easy-to-use algebra book will help you learn the fundamentals of algebra in a variety of practical ways. The book features new tools to help you succeed, such as learning objectives before each section to prepare you for what you're about to learn, and a list of formulas and key concepts after each section that help reinforce what you've learned. In addition, the book includes many real-world examples that show you how mathematics is used to model in fields like engineering, business, physics, chemistry, and biology.
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Analyzing Related Rates
Twelfth graders investigate an application of related rates. In this calculus lesson, 12th graders are presented with a real world application of derivatives. The activity emphasizes how to set up the problem and students are guided through a series of questions which requires them to analyze the problem before attempting a | 677.169 | 1 |
Axia College Material Appendix A Final Cumulative Test Overview and Timeline Final Cumulative Test Overview Ch. 4–6 1. Polynomials 2. Factoring Polynomials 3. Rational Expressions 4. Rational Equations Ch. 10–11 1. Radical Expressions 2. Radical Equations 3. Quadratic Equations 4. Graphing Quadratic Equations Final Exam Timeline Budget your time wisely and prepare for the Final Exam throughout the course. The CheckPoints and assignments in the course are designed to assist you in preparing for the Final Cumulative Exam on Ch. 4–6 & 10–11. If you complete your course activities and use the feedback provided by the instructor, you will be on the right track to completing your Final Exam successfully. Due in Week One : Complete the assigned MyMathLab ® exercises. Due in Week Two : Complete the assigned MyMathLab ® exercises. Suggested in
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Since its initial publication, MATHEMATICS: A GOOD BEGINNING has set the standard for math methods books. More than just a textbook, this is a complete instructional program that serves a multitude of curriculum needs. The book has been praised for its depth and clarity, its imaginative activities, and its attentiveness to the philosophy and recommendations of the National Council of Teachers of Mathematics (NCTM). This edition is solidly grounded in the latest research on how children learn mathematics and how teachers develop attitudes, beliefs, and knowledge that promote successful teaching | 677.169 | 1 |
Math for Soil Scientists unique resource is written for students and practitioners in the field of soil science who must learn or review basic mathematical operations faced when studying or working with soils. Unlike other texts of its kind, Math for Soil ScientistsMore...
This unique resource is written for students and practitioners in the field of soil science who must learn or review basic mathematical operations faced when studying or working with soils. Unlike other texts of its kind, Math for Soil Scientists explains the importance of each concept explored, discusses the theory behind each concept, and presents the method for solving each problem. Designed to cover all of the most common equations in the soil science field, from calculating particle size distribution to conducting simple hypothesis testing, this text provides the reader with many opportunities for practice in working out sample problems of each required math concept. This easy-to-read text approaches every concept in a step-by-step fashion, allowing the reader to fully understand how to find the solution to each sample problem | 677.169 | 1 |
The Geometry of Spacetime: An Introduction to Special and General Relativity (Undergraduate Texts in Mathematics)
Author:James J. Callahan
ISBN 13:9780387986418
ISBN 10:387986413
Edition:N/A
Publisher:Springer
Publication Date:2001-08-17
Format:Hardcover
Pages:463
List Price:$84.95
 
 
In 1905, Albert Einstein offered a revolutionary theory—special relativity—to explain some of the most troubling problems in current physics concerning electromagnetism and motion. Soon afterwards, Hermann Minkowski recast special relativity essentially as a new geometric structure for spacetime. These ideas are the subject of the first part of the book. The second part develops the main implications of Einstein's general relativity as a theory of gravity rooted in the differential geometry of surfaces. The author explores the way an individual observer views the world and how a pair of observers collaborate to gain objective knowledge of the world. To encompass both the general and special theory, he uses the geometry of spacetime as the unifying theme of the book. To read it, one needs only a first course in linear algebra and multivariable calculus and familiarity with the physical applications of calculus. | 677.169 | 1 |
First Four Days Review
Students participate in a game of Jeopardy as a form of review. Concepts covered in the Jeopardy game include interpreting and graphing linear equations, manipulating absolute value equations and inequalities. They also examine solving systems of linear equations of two variables and adding, subtracting, and multiplying matrices | 677.169 | 1 |
This is the last of three volumes which present some of the most important tools of applied mathematics used in solving problems in mathematics, physics and computer science. It includes such areas as probability theory, operator calculus, representation theory, and special functions. This third volume - "Representations of Lie Groups" - answers some basic questions, such as: how can a Lie algebra given in matrix terms, or by prescribed commutation relations be realized so as to give an idea of what it `looks like'? A concrete theory is presented with emphasis on techniques suitable for efficient symbolic computing. Another question is: how do classical mathematical constructs interact with Lie structures? Here stochastic processes are taken as an example. The volume concludes with a section on output of the MAPLE program, which is available from Kluwer Academic Publishers on the Internet. This book is intended for pure and applied mathematicians and theoretical computer scientists. It is suitable for self study by researchers, as well as being appropriate as a text for a course or advanced seminar | 677.169 | 1 |
Mathematics olympiad
About the
Course
'The mathematics' offers classes for international mathematics Olympiad examinations . There are three levels for these classes. The first level gets you well versed with the basics, the second level teaches you advanced techniques and final level is about extensive problem solving. There are about 30 students chosen from state level examination who later appear for the national level and is all six students are chosen from the country who appear for the international mathematics Olympiad. This examination helps students who have an inclination towards mathematics to secure a future in research jobs in India and abroad. Also if research jobs in India and abroad. Also if research jobs in India and abroad. Also if one wins the scholarship the opportunities are endless.
The examination includes six problems that are to be solved sequentially in three hours.
Date and Time
Course Id: 10863
About the Trainer
Experienced teaching personnel having almost 9 years of experience in different domains of teaching Mathematics.This includes teaching competitive exams Mathematics like IITJEE,Olympiad.B.Math,(I.S.I and C.M.I) and secondary school students for four years.
I do also have more than 4 years of experience as Subject matter expert of Mathematics in different competitive coaching companies(both Higher grade and lower grade) for 8th,9th,10th, 11th,12th & college grade. Presently working as a Olympiad trainer and subject matter expert. | 677.169 | 1 |
Computer Graphics
In this project, we will see how linear algebra can be used in computer graphics. We wont do any
programming, but we will answer the types of questions that someone who was programming computer
graphics would need to be able to answer. I
Google Page Rank
In this project, we will learn the basics behind Googles Page Rank algorithm, which is used to provide
search engine users with relevant search results. The content of this project will come from the article How
Google Finds Your Needle i
Least Squares
In this project, we will investigate the problem of tting a curve to some data points using the method of
least squares. Our approach will be dierent than the one learned in class, but our results will be the same.
For now, suppose we want t
Using the Singular Value Decomposition for Image Compression
In this project, youll explore an application of a certain matrix decomposition, called the singular value
decomposition (SVD), to image compression. We will learn about the singular value decom 7 Solutions
11
21
1. Find the determinant of A =
31
41
12
22
32
42
13
23
33
43
14
24
. Theres a smart way to do this!
34
44
Solution: Recall that the row operation add a multiple of one row to another does not change the
determinant. We appl
Homework 10 - Math 102
Sections 6.1-6.3
Due by 3pm Friday, September 6 to the dropbox in the basement of APM.
1. 6.2 #4: Show from the eigenvalues that if A is positive denite, so is A2 and so is A1 .
2. The singular value decomposition uses the fact that
Homework 1 Solutions - Math 102
These are the denitions of the terms you were asked to dene in Homework 1. You should use
these denitions to study for Thursdays quiz.
A linear system of equations is any collection of equations that can be represented by a 9 Solutions
1. Explain why
3
0
0
4
is similar to
3
0
1
4
3
0
but
0
3
3
0
is not similar to
1
3
.
30
31
31
is similar to
because
is diagonalizable. It has two dierent
04
04
04
eigenvalues and therefore two linearly independent eigenvectors. When t | 677.169 | 1 |
Problem solving is the main thrust of this excellent, well-organized workbook. Suitable for students at all levels in probability theory and statistics, the book presents over 1,000 problems and their solutions, illustrating fundamental theory and representative applications in the following fields: Random Events; Distribution Laws; Correlation Theory; Random Variables; Entropy & Information; Markov Processes; Systems of Random Variables; Limit Theorems; Data Processing; and more. The coverage of topics is both broad and deep, ranging from the most elementary combinatorial problems through limit theorems and information theory. Each chapter introduction sets forth the basic formulas and a general outline of the theory necessary for the problems that follow. Next comes a group of sample problems and their solutions, worked out in detail, which serve as effective orientation for the exercises to come. The emphasis on problem solving and the multitude of problems presented make this book, translated from the Russian, a valuable reference manual for scientists, engineers, and computer specialists, as well as a comprehensive workbook for undergraduates in these fields. Mathematics Mathematics eBook, Dover Publications
Approximately 1,000 problems - with answers and solutions included at the back of the book -?illustrate such topics as random events, random variables, limit theorems, Markov processes, and much more. mathematics,science and math,science and math,statistics,textbooks Statistics, Dover Publications
Sveshnikov, A. A.
Titel:
Problems in Probability Theory, Mathematical Statistics and Problems in Probability Theory, Mathematical Statistics and Theory of Random Functions The
ISBN-Nummer:
9780486637174
Approximately 1,000 problems -- with answers and solutions included at the back of the book -- illustrate such topics as random events, random variables, limit theorems, Markov processes, and much more. | 677.169 | 1 |
Expressions and Formulas
In this expressions and formulas learning exercise, 9th graders solve and complete 7 different types of problems related to various expressions and formulas. First, they define order of operations and explain why it is used. Then, students list and explain the steps involved in the order of operations. They also evaluate two algebraic expressions and use the Pythagorean Theorem to determine the length of the hypotenuse of a right triangle | 677.169 | 1 |
PS3 homebrew developer facanferff known for his plugins for showtime has released a new plugin called Khan Academy v1.0.A For a little background info, the Khan Academy was created by MIT grad Slaman Khan.A He created the Khan Academy to provide top notch education to anyone, anywhere.A That's a noble use for your PS3.A This plugin by facanferff will help you learn advanced math.
Like it? Share with your friends!
If you got an error while installing Themes, Software or Games, please, read FAQ.
Similar Software:
Mathomatic for DSLinux Mathomatic is a portable, general purpose CAS (Computer Algebra System) that will help you in most math problems
Algebra/Calculus Assistant Who says the PSP is all play and no work? If you're having some problems with Algebra and Calculus, you're in luck, since your PSP can help you out with some of your difficult math problems
Pi Calc Version 3.14159265358979323846264 b How far can you count the digits of Pi? Well, unless you can count as far as the 33rd decimal place then perhaps you'll find an amusing use for Art's latest project: Pi Calc Version 3
Algebra/Calculus Assistant Andyauff has released a new version of his Algebra/Calculus Assistant application, bumping it up to version 0
gPlot for PSP Here's something for the math lovers out there who also happen to have a PSP
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If you noted an error or download link is broken, please, report it via this page or use comments. | 677.169 | 1 |
Maths
"The study of mathematics, like the Nile, begins in minuteness but ends in magnificence.
"
Charles Caleb Colton
Staff
Mr Michael Fannen – Head of Maths
Mr Karl Aughton – Teacher of Maths and Second in Department
Miss Helen Needham – Teacher of Maths and Leader of Life
Mr David Flynn – Teacher of Maths
The Mathematics Department at Outwood Academy Ripon is staffed by 5 enthusiastic teachers. The department is committed to helping our students develop their subject knowledge and gain the confidence to apply the skills learnt in problem solving.
The department use a variety of teaching and learning methods, incorporating both individual and group activities, which develop each pupil's written, oral and practical skills.
We set the students from the start of Year 7 to enable them to make best progress. These settings are reviewed regularly to ensure that all learners are in the most appropriate environment for continual progress. The GCSE course begins for all students in Year 9, with half termly assessments taken to monitor progress. GCSE classes are supported by an Option Maths course to intervene with students wanting to achieve above and beyond their target grade.
The Academy also offers an A level mathematics course in Year 12 and 13 covering the AQA topics such as calculus, sequences/series, the normal distribution, mechanics and statistics.
Year 7 to Year 10 Topics in Mathematics
*The coverage of these topics will depend on the level at which a particular set is working.
Year 11 Topics in Mathematics.
Year 11 studies may follow a similar order of topics as Years 7-10 but are determined by progression and target grades. Teachers will actively use the increased assessment in Year 11 to target key topics which require further tuition and development to ensure that students can attain their best grade in the GCSE final exam.
Assessment
Every student is continually assessed each lesson and is afforded plenty of opportunities to reflect on their learning and identify areas that require development to ensure they make the best progress in maths.
Formal assessment takes place once every half term. SATs and GCSE papers are used to accurately assess a student's current level or grade and track progression. Homework
Homework is usually set weekly and is often in the form of a mymaths online task which will consolidate and build upon the learning in the lessons. Mymaths will work on any home computer which has Flash Player installed. You can also now access mymaths from an iPad by using the free 'Puffin Academy' app which can be accessed by following the link below. My Maths App | 677.169 | 1 |
Errors and misconceptions are common place in the classroom especially in mathematics. "It is important to establish a distinction between an error and a misconception" (Spooner, 2002, p3). An error can be due to a number of different factors, such as lack of concentration, carelessness and misreading a question. On the other hand, a misconception is generally when a student misinterprets the correct procedure or method. "Students often misunderstand or develop their own rules for deciding how something should be done. This is part of normal development." (Overall et al. 2003. p127). Whilst many of these invented rules are correct, they may only work under certain circumstances. It is important, when teaching, that error patterns and misconceptions are eradicated and corrected when pupils are learning and that they use procedures and algorithms correctly to obtain the right answer. In this report I am going to focus on the basic errors and misconceptions made by pupils studying algebra, specifically within key stage 3. Algebra is the generalisation of arithmetic, containing a wealth of symbolic notation, in which students have not previously met. It is not surprising that students find the basic concepts hard to grasp, resulting in many errors and misconceptions. I am going to cover 'what does the equal sign mean?' and students' understanding of algebraic letters. These are the two fundamental concepts in which pupils need to be fully competent in, in order to be successful in working with algebra. Pupils Understanding of Letters in Algebraic Expressions
In order for students to be confident in working with algebra they first need to be able to understand algebraic expressions and variables. In a study by Küchemann (1981), he found less than half the children, in his study, seemed able to use a letter as a numerical entity in its own right, instead the letter was 'evaluated' or regarded as an 'object'. Children can interpret letters in a number of different ways. The first is that the student may refer to the letter as an object. Letters in algebraic expressions are frequently thought of as representing an object. For example when measuring a length a pupil may refer to the side they are measuring as x, rather than the measurement. The idea of seeing letters as labels (truncated words) rather than as a variable might stem from the use of the letters l and b in relation for the area enclosed by a rectangle. l is seen as truncated "length" and b as the truncated "breadth", but l and b are representing the measurements i.e. number of length units and NOT the object (the sides). (Kesianye, 2001, p16). The 'fruit salad' approach to teaching algebra can often lead pupils to believe that a letter stands for an object, reinforcing these misconceptions. When explaining what 3a + 2b means, teachers will often say three apples and two bananas. This is especially common when collecting terms; 5c + 2c means 5 cow plus 2 cows which results in 7 cows. However, the 'fruit salad' approach is flawed when questions such as: If a = 2 and 6a = 4b find b, arise. If taught the 'fruit salad' method, pupils' immediate thoughts would be "6 apples don't equal 4 bananas". They take 6a to mean 6 things, or objects, rather than 6 multiplied by a value. Issues like this can also be seen in questions such as; if x = 2 what does 3x equal? Students may answer this question with 32 rather than the correct answer, 6. A remedy for this approach would be to consider the letter as the cost of the object, thus the question could be phrased differently; the cost of 6 apples is equal to the cost of 4 bananas. When teaching algebra it is extremely important to emphasise that the letters represent numbers and not objects. Another misconception can be found when students are asked to evaluate a letter. When asked to solve for x in 4x + 25 = 73, a student literally inserted x=8 into the equation, resulting in 48 + 25 = 73. "This student has understood the...
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...These resistance fighters often attacked German police officials on patrol. Approximately 20,000 Warsaw Jews continued to live in hiding in Warsaw long after the liquidation of the ghetto.
The third phase of the holocaust was known as the final stage. In 1942 at a meeting held in Wannsee Poland, Hitler's top officials agreed to begin a new phase of the mass murder of Jews. In addition to mass slaughter and starvation they would add a third method of killing. This third method... | 677.169 | 1 |
CHENIER EDUCATIONAL ENT-60611
This book is ideal for reference. It is 6 in. X 7 1/2 in. and is designed to make it as versatile as possible and still give the reader the necessary tools to master basic math concepts. It was writte book is ideal for reference. It is 6 in. X 7 1/2 in. and is designed to make it as versatile as possible and still give the reader the necessary tools to master basic math concepts. It was written with practical applications in mind. Hence, squaring, leveling, and layout techniques are included in this book. Many of these concepts are unique to this book and give the reader a new approach to learning and referencing math. Development of this book was through the perspective of both education and industry, evolving from many years of practical experiences. It is designed to be an easy-to-use resource for anyone involved in teaching or learning math skills. Industrial and commercial workers, apprentices, trades people, teachers, students, parents, do-it-yourselfters will all find this book helpful. The Table of Contents and Appendix are unique because they are in both pictures and words. The book is a complete kit for anyone who needs a handy math reference
Additional Features
Illustrative Table of Contents, plus English/Metric appendix - found only in this book, has a unique index where you can find problems instantly | 677.169 | 1 |
This booklist was designed as a guide for selecting materials for inclusion in a secondary school mathematics library and for identifying new books and periodicals of professional interest to teachers of mathematics. Approximately 925 listings are included, some with annotations; about one-fourth of these are starred to indicate the author's estimate of high importance or quality. This listing is organized into 19 categories including six classifications of mathematical content, expository mathematics, foundations and philosophy of mathematics, history, biographies, recreational mathematics, science and mathematics, metric measures, computers, professional books for teachers, dictionaries and handbooks, NCTM publications, and periodicals. An appendix provides a directory of publishers. (SD) | 677.169 | 1 |
MAT 115 Modeling for Decision Making (3 credits)
Linear systems, matrices, linear programming, mathematics of finance, counting procedures, sets, probability, functions, exponents. Use of specific technology will be required. Does not satisfy any requirement for the MTS.AS degree. Prerequisite: MAT 114, intermediate algebra, college algebra or equivalent based on placement testing. | 677.169 | 1 |
Presents a uniquely balanced approach that bridges introductory and advanced topics in modern mathematics An accessible treatment of the fundamentals of modern mathematics, Principles of Mathematics: A Primer provides a unique approach to introductory andadvanced mathematical topics. The book features six main subjects, whichcan be studied independently or in conjunction with each other including: settheory; mathematical logic; proof theory; group theory; theory of functions; andlinear algebra. The author begins with comprehensive coverage of the necessary building blocks in mathematics and emphasizes the need to think abstractly and develop an appreciation for mathematical thinking. Maintaining a useful balance of introductory coverage and mathematical rigor, Principles of Mathematics: A Primer features: Detailed explanations of important theorems and their applications Hundreds of completely solved problems throughout each chapter Numerous exercises at the end of each chapter to encourage further exploration Discussions of interesting and provocative issues that spark readers' curiosity and facilitate a better understanding and appreciation of the field of mathematics Principles of Mathematics: A Primer is an ideal textbook for upper-undergraduate courses in the foundations of mathematics and mathematical logic as well as for graduate-level courses related to physics, engineering, and computer science. The book is also a useful reference for readers interested in pursuing careers in mathematics and the sciences. Vladimir Lepetic, PhD, is Professor in the Department of Mathematical Sciences at DePaul University. His research interests include mathematical physics, set theory, foundations of mathematics, and the philosophy of mathematics.
This engaging book presents the essential mathematics needed to describe, simulate, and render a 3D world. Reflecting both academic and in-the-trenches practical experience, the authors teach you how to describe objects and their positions, orientations, and trajectories in 3D using mathematics. The text provides an introduction to mathematics for game designers, including the fundamentals of coordinate spaces, vectors, and matrices. It also covers orientation in three dimensions, calculus and dynamics, graphics, and parametric curves.
The third edition of this well known text continues to provide a solid foundation in mathematical analysis for undergraduate and first-year graduate students. The text begins with a discussion of the real number system as a complete ordered field. (Dedekind's construction is now treated in an appendix to Chapter I.) The topological background needed for the development of convergence, continuity, differentiation and integration is provided in Chapter 2. There is a new section on the gamma function, and many new and interesting exercises are included. This text is part of the Walter Rudin Student Series in Advanced Mathematics.
This book provides a readable and informative introduction to the development and application of mathematical models in science and engineering. The first half of the book begins with a clearly defined set of modeling principles, and then introduces a set of foundational tools (dimensional analysis, scaling techniques, and approximation and validation techniques). The second half then applies these foundational tools to a broad variety of subjects, including exponenttial growth and decay in fields ranging from biology to economics, traffic flow, free and forced vibration of mechanical and other systems, and optimization problems in biology, structures, and social decision making. An extensive collection of more than 360 problems offer ample opportunity in both a formal course and for the individual reader. (Midwest).
Explaining the concepts of quantum mechanics and quantum field theory in a precise mathematical language, this textbook is an ideal introduction for graduate students in mathematics, helping to prepare them for further studies in quantum physics. The textbook covers topics that are central to quantum physics: non-relativistic quantum mechanics, quantum statistical mechanics, relativistic quantum mechanics and quantum field theory. There is also background material on analysis, classical mechanics, relativity and probability. Each topic is explored through a statement of basic principles followed by simple examples. Around 100 problems throughout the textbook help readers develop their understanding.
Mathematical Modeling of Earth's Dynamical Systems gives earth scientists the essential skills for translating chemical and physical systems into mathematical and computational models that provide enhanced insight into Earth's processes. Using a step-by-step method, the book identifies the important geological variables of physical-chemical geoscience problems and describes the mechanisms that control these variables. This book is directed toward upper-level undergraduate students, graduate students, researchers, and professionals who want to learn how to abstract complex systems into sets of dynamic equations. It shows students how to recognize domains of interest and key factors, and how to explain assumptions in formal terms. The book reveals what data best tests ideas of how nature works, and cautions against inadequate transport laws, unconstrained coefficients, and unfalsifiable models. Various examples of processes and systems, and ample illustrations, are provided. Students using this text should be familiar with the principles of physics, chemistry, and geology, and have taken a year of differential and integral calculus. Mathematical Modeling of Earth's Dynamical Systems helps earth scientists develop a philosophical framework and strong foundations for conceptualizing complex geologic systems. Step-by-step lessons for representing complex Earth systems as dynamical models Explains geologic processes in terms of fundamental laws of physics and chemistry Numerical solutions to differential equations through the finite difference technique A philosophical approach to quantitative problem-solving Various examples of processes and systems, including the evolution of sandy coastlines, the global carbon cycle, and much more Professors: A supplementary Instructor's Manual is available for this book. It is restricted to teachers using the text in courses. For information on how to obtain a copy, refer to:
Multiple regression is at the heart of social science data analysis, because it deals with explanations and correlations. This book is a complete introduction to this statistical method. This textbook is designed for the first social statistics course a student takes and, unlike other titles aimed at a higher level, has been specifically written with the undergraduate student in mindonBestselling author Salih Neftci presents a fresh, original, informative, and up-to-date introduction to financial engineering. The book offers clear links between intuition and underlying mathematics and an outstanding mixture of market insights and mathematical materials. Also included are end-of-chapter exercises and case studies. In a market characterized by the existence of large pools of liquid funds willing to go anywhere, anytime in search of a few points of advantage, there are new risks. Lacking experience with these new risks, firms, governmental entities, and other investors have been surprised by unexpected and often disastrous financial losses. Managers and analysts seeking to employ these new instruments and strategies to make pricing, hedging, trading, and portfolio management decisions require a mature understanding of theoretical finance and sophisticated mathematical and computer modeling skills. Important and useful because it analyzes financial assets and derivatives from the financial engineering perspective, this book offers a different approach than the existing finance literature in financial asset and derivative analysis. Seeking not to introduce financial instruments but instead to describe the methods of synthetically creating assets in static and in dynamic environments and to show how to use them, his book complements all currently available textbooks. It emphasizes developing methods that can be used in order to solve risk management, taxation, regulation, and above all, pricing problems. This perspective forms the basis of practical risk management. It will be useful for anyone learning about practical elements of financial engineering. * Exercises and case studies at end of each chapter and on-line Solutions Manual provided * Explains issues involved in day-to-day life of traders, using language other than mathematics * Careful and concise analysis of the LIBOR market model and of volatility engineering problems | 677.169 | 1 |
Volterra and Fredholm integral equations form the domain of this book. Special chapters are devoted to Abel's integral equations and the singular integral equation with the Cauchy kernel; others focus on the integral equation method and the boundary element method (BEM). While a small section affords some theoretical grounding in integral equations (covering existence, regularity, etc.), the larger part of the book is devoted to a description and analysis of the discretisation methods (Galerkin / collocation / Nystrm). Also the multigrid method for the solution of discrete equations is analysed. The most prominent application of integral equations occurs in the use of the boundary element method, which here is discussed from the numerical point of view in particular. New results about numerical integration and the panel clustering technique are included. Many chapters have an introductory character, while special subsections give more advanced information. Intended readers are students of mathematics as well as postgraduates | 677.169 | 1 |
Best Books on Quicker Mathematics
In all the competitive examinations, 'Quantitative Aptitude' or 'Quants' is an important and inevitable section in the question paper. If attempted with full confidence, high speed and good accuracy, it fetches you high marks. Nothing can be more scoring than maths. However, most of the candidates are scared of mathematics. Even if they know the correct method they make blunders during examinations as they are not confident because of weak basic fundamental knowledge. This phobia for mathematics can be easily terminated, with the help of some magical books written by great authors. These books do not only help you to increase your confidence level but also help you to fall in love with maths.
These books can definitely improve the overall efficiency in mathematics for anyone and everyone in general. Find below the list of the most trusted and popular books on Quicker Maths.
BOOK #1 – MAGICAL BOOK ON QUICKER MATHS
This is a single marvelous book for all types of competitive examinations conducted by Banks, Staff Selection Commission (SSC), Union Public Service Commission (UPSC), CPO, LIC, GIC, UTI and similar recruiting organizations. This book is equally good to hone your mathematics skills in general. Hence even if you have nothing to do with competitive exams, you still must have this book in your collection. The author has prepared this book with only one objective in mind – speed-orientation with simple to follow techniques. As time given for solving one question ranges from 0.25 -0.75 minutes, so direct formulae will be advantageous in saving time. It covers every type and variations of problems. Short-cut methods are presented with abundant illustrations. This book will be a boon for candidates appearing for competitive exams-irrespective of their academic background. –
PRACTICE BOOK ON QUICKER MATHS – The above book has a practice version, which might be very useful for the aspirants in increasing their speed and accuracy -Purchase Online
BOOK #2 – VEDIC MATHEMATICS
This book throws light on the true knowledge of Vedic mathematics which relates to the truth of numbers and magnitude, applicable to any background- either from arts or science. After eight years of intensive effort of Jagadguru Sri Bharati Krsna Tirtha this volume, more a 'magic', is the result of intuitive visualization of fundamental mathematical truths. The ancient Indian methods are analyzed and shown to be capable of solving various problems of mathematics. This book contains forty chapters which deal with all the subjects in mathematics- Multiplication, Division, Factorization, Equations, Calculus, Analytical Conics, etc. -
BOOK #3 – THE TRACHTENBERG SPEED SYSTEM OF BASIC MATHEMATICS
This book is described as 'the shorthand of mathematics', which requires the ability to count from one to eleven. It is based on a series of simplified 'keys' and is easy to master giving greater speed, ease of handling numbers and increasing accuracy. A must read book for arithmetic enthusiasts
BOOK #4 - COURSE IN MENTAL ABILITY AND QUANTITATIVE APTITUDE
This book caters to the needs of candidates appearing in competitive examinations like NDA entrance test, CAT, MAT, Ban k PO examination, CDS, SCRA, Income Tax Inspectors examination, LIC Administrative Officers examination and various civil services examinations. It contains didactic features which are easy-to-understand explanation and ample solved examples for each topic along with plenty of exercises with answers after the solved examples. Practice test papers after each major topic are given. Full Length question papers at the end of the book will be beneficial for aspirants
BOOK #5 – MEN OF MATHEMATICS
"Men of Mathematics" by E.T. Bell explains major mathematics, from the geometry of the Greeks through Newton's calculus and on to the laws of probability, symbolic logic, and the fourth dimension. This book goes beyond pure mathematics, a marvelous development of mathematical thoughts from ancient times to the twentieth century. It is an ideal book for a person who has a deep interest in the origin of concepts, their development through the course of time and of course their application today
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Hi, I'm Vineet Patawari. I fell in love with numbers after being scared of them for quite some time. Now, I'm here to make you feel comfortable with numbers and help you get rid of Math Phobia!
18 Comments
karanMarch 24, 2016 at 10:42 am
Hlo sir my name is karan .i like math so much.My math is good ,but sir i have one problem that is my speed .now in april i will join my 11 class. I wants to join an indian navy.sir i want the book of shortcuts methods of mathmatics that will in my future .sir please help me sir give me the name and the author of the book of sortcuts that help me to increase my speed in mathmatics .thanx
Sir, since school level i dont have much grasp on maths im very week in maths i think my basic aren't strong n i want to brush them all so tht i can prepare for competitive exam. would you plz recommend which book i shuld start with from basic to master. I face lot of problem while solving 'QUANT' from RS agrawal etc….waiting for your good revert.
sir….i want buy the book named MAGICAL BOOK ON QUICKER MATHS. how can i buy offline …..bcoz link which is provided; is not in existence..plzz sir…help me….plzzz help me…plzz plzz….bcoz there is my mains exam paper of uttar pradedh police in december….dated 13…. . . sir i m not very rich. i have no atm or credit vard & i can not join any coaching institute ..i m working in a private junior high school…for my bread…..so help me…so that i can become a SUB INSPECTOR in UTAAR PRADESH POLICE…… . . ……………REPLY MUST…PLZZ….
Respected Sir, Excel Speed Maths is a foundation established in 2002 for nurturing the talents of candidates appearing in various competitive examinations. We are possessing the marketing rights of a book on Arithmetic/Quantitative Aptitude – "Excel Speed Maths", meant for competitive examinations which caters the requirement of candidates preparing for various competitive examinations such as Combined Graduate Level Examination of Staff Selection Commission, Bank PO/Clerk , Railway Recruitment Board Test etc .
The book found warm acceptance in the student community. The study material comes around 829 pages in Crown 1/4 Size and is priced around at Rs.500/- and sold for Rs.450/-. We are hosting a website – ' and the book is presently being marketed by releasing advertisements in 'General Knowledge Today' of Competition Success Review and Pratiyogita Darpan. Promotion through Face Book and other Social Media platforms are also being resorted to. We would like to know whether the book can be marketed using your platform on a piece rate basis per successful bookings. Pl let us know. | 677.169 | 1 |
Friendly Introduction to Analysis
9 View(s),
published at 2004, written by
Witold A. J. Kosmala, published by
A friendly introduction to analysis by Witold A. J. Kosmala Designed for undergraduate courses in advanced calculus and real analysis, this book is an easily readable, intimidation-free advanced calculus textbook. Ideas and methods of proof build upon each oth.... Published date on: 2004 with total page: 574 pages. Publisher of A Friendly Introduction to Analysis is .
Designed for undergraduate courses in advanced calculus and real analysis, this book is an easily readable, intimidation-free advanced calculus textbook. Ideas and methods of proof build upon each other and are explained thoroughly.
Are you interested to read this ebook a friendly introduction to analysis? If you have read an ebook before don't be hasitate to leave review about the book a friendly introduction to reader-friendly introduction to the fundamental concepts and techniques of numerical analysis/numerical methods develops concepts and techniques in a clear, concise, easy-to- read manner, followed by fully-worked examples. Application problems d...
What mathematical skills do you need to understand computers and the problems they can solve? This book introduces the basic ideas of set theory, logic and combinatorics. Intended for those who work alone and whose experiences of mathematics have in ...
In Probability and Stochastic Processes: A Friendly Introduction for Electrical and Computer Engineers, readers are able to grasp the concepts of probability and stochastic processes, and apply these in professional engineering practice. The 3rd edit...
For one- or two-semester junior or senior level courses in Advanced Calculus, Analysis I, or Real Analysis. This text prepares students for future courses that use analytic ideas, such as real and complex analysis, partial and ordinary differential e | 677.169 | 1 |
The description of Scientific Calculator ++
"Scientific calculator ++" is an android application designed to calculate problems in science, engineering, and mathematics. They have almost completely replaced slide rules in almost all traditional applications, and are widely used in both education and professional settings.
For higher education, "scientific calculator++" have been superseded by graphing calculators, which offer a superset of scientific calculator functionality along with the ability to graph input data and write and store programs for the device. There is also some overlap with the financial calculator market.
Scientific calculator with complex numbers and graphing of user-defined functions.
Modern scientific calculators generally have many more features than a standard four or five-function calculator, and the feature set differs between manufacturers and models; however, the defining features of a scientific calculator include:
hexadecimal, binary, and octal calculations, including basic Boolean math complex numbers fractions statistics and probability calculations programmability — see Programmable calculator equation solving calculus letters that can be used for spelling words or including variables into an equation conversion of units physical constantsUses
Scientific calculators are used widely in any situation where quick access to certain mathematical functions is needed, especially those such as trigonometric functions that were once traditionally looked up in tables; they are also used in situations requiring back-of-the-envelope calculations of very large numbers, as in some aspects of astronomy, physics, and chemistry.
They are very often required for math classes from the junior high school level through college, and are generally either permitted or required on many standardized tests covering math and science subjects; as a result, many are sold into educational markets to cover this demand, and some high-end models include features making it easier to translate the problem on a textbook page into calculator input, from allowing explicit operator precedence using parentheses to providing a method for the user to enter an entire problem in as it is written on the page using simple formatting tools. | 677.169 | 1 |
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Calculus One of the greatest contributions to modern mathematics science and engineering was the invention of calculus near the end of the 17th century says The New Book of Popular Science Without the invention of calculus many technological accomplishments such as the landing on the moon would have been difficult The word calculus originated from the Latin word meaning pebble This is probably because people many years ago used pebbles to count and do arithmetic problems The two people with an enormous contribution to the discovery of the theorems of calculus were Sir Isaac Newton of England and Baron Gottfried Wilhelm of Germany They discovered these theorems during the 17th century within a few years of each other Isaac Newton was considered one of the great physicists all time He applied calculus to his theories of motion and gravitational pull He was able to discover a function and describe mathematically the motion of all objects in the universe Calculus was invented to help solve problems dealing with changing or varying quantities Calculus is considered mathematics of change There are some basic or general parts of calculus Some of these are functions derivative antiderivatives sequences integral functions and multivariate calculus Some believe that calculus is too hard or impossible to learn without much memorization but if you think that calculus is all memorizing then you will not get the object of learning calculus People say that calculus is just the revision or expansion of old or basic equations and I believe that also In economics and business there are some uses for calculus One important application of integral calculus in business is the evaluation of the area under a function This can be used in a probability model Probability is another uses in integral calculus for business because you could find how often something will appear in a certain range in a certain time A function used for probability in uniform distribution The function | 677.169 | 1 |
With rapid advancements in science and technology, life has become easier for people. Calculators once considered little less than miracles are now very common. There is such a huge variety available that you can calculate almost anything from simple sums to tax credits and life expectancy. One such invention is the graphing calculator online. Not only is this marvelous device available, it is also readily available online.
But what is a graphing calculator and how can it be used? Does it really help students perform better in their mathematics class? Is it allowed in exams? The most important question of all is, what are the benefits of using a graphing calculator online? The short guide below will answer all your questions of the use of this problem solving device.
What is a Graphing Calculator?
A graphing calculator is able to solve simultaneous equations, plot graphs and many other variable calculations. It is available as a handheld device as well as a graphing calculator online. The great thing about the online version is that, you no longer have to worry about remembering to carry the calculator with you. You can simply use it on a website.
Not only does the graphing calculator online solve mathematical variables; it also helps students with physics numerical. With the help of these calculators students are better able to grasp complex concepts, since they can make real-life connections. This way, they are able to think critically and develop problem-solving skills. Research shows that students who use graphing calculator online are able to perform better in their math and science exams compared to other students.
How to Use the Graphing Calculator Online?
The graphing calculator online has a very simple user-friendly interface. It is designed in a way so that any person, even if they are new to using modern and advanced calculators, can do so conveniently. Some of the great features supported by a graphing calculator include:
Mathematica
MATLAB
Symbolic algebra
Some of the great calculators come with 2D and 3D forms. Questions that involve multivariable functions like three axes, x, y and z can easily be drawn on 3D graphing calculators online.
Graphing Calculators Encouraged by Teachers
Recently, more and more teachers are promoting the use of calculators in class. According to one study, the use of graphing calculators online helps improve student's mathematical skills. Not only this, the study also suggested that students who did not particularly like math or had a harder time excelling it, grew more inclined to study it.
Another research on the use of calculators by students showed that students felt a sense of achievement when they were able to solve their work with the aid of these calculators. That is why teachers encourage the use of graphing calculators online, not only in class but at home too.
Graphing Calculators and Exams
In most senior level exams, graphing calculators are allowed. In universities and professional colleges, the use of graphing calculator online is being encouraged due to the progress it brings in student comprehension. All international exams like, SAT, ACT, PSAT, AP etc. not only allow, but at times require students to use graphing calculators. Of course, it's best to ask the teacher first before using the calculator in a class-exam.
Benefits of Using a Graphing Calculator
There are many benefits of using a graphing calculator online. Here are some of them:
Connecting with Reality
With the help of a graphing calculator, students can make connections with real life situations. Teachers can easily formulate regression models that fit the requirements of the question they are trying to explain. Data analysis becomes something that is not only understood on paper, but something that can be associated with real examples.
Another thing that is achieved is the ability to make connections between different mathematical models. Whoever uses a graphing calculator online can easily switch back and forth between algebraic, tabular and graphical forms.
Speedy Performance
With the help of a graphing calculator online, students are not only able to perform better in their mathematics and science classes but are also able to generate speedy results. This helps to boost their confidence and interest levels as they are better equipped in handling difficult subjects. The formulation of graphs and tables has turned a lot faster than it once was.
Cost-Effective
The handheld graphic calculator is relatively expensive. It can rightly be said that it would be one of the most expensive investments a student can make. With the arrival of graphing calculator online, no longer do students need to buy the handheld device. All the functions and features that are present in the physical model of a graphing calculator are also present in the online version. Anyone can access the online calculator, anytime they want. It is free and can be used with ease and comfort.
Increasing Scope of Math and Science
Research shows that students who use graphing calculators are more inclined to develop a taste for math and science and thus opt for these subjects in college. This shows that the increase in confidence and interest level caused by the ease of understanding the subject is enhanced by the use of these calculators. Students are better able to handle the difficulty of solving mathematical tasks that they were unable to do so without the use of such calculators.
Studies also supported the evidence that students who used these calculators are able to pass with better grades than those who don't use graphing calculators online.
To Use or Not to Use Graphing Calculator Online?
All the above ideas show that the use of graphing calculators online, is not only beneficial but becoming rather important. They help in improving student's mathematical understandings as well as giving them the motivation to study with more vigor. The conceptual clearance that is developed with the help of these calculators cannot be denied and should be pursued. Such measures need to be adapted on a larger scale to encourage student growth. | 677.169 | 1 |
Algebra I Powerpoint Q and A Game - Quadratic Models
Presentation (Powerpoint) File
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3.51 MB | 53 pages
PRODUCT DESCRIPTION
This powerpoint Q and A game (a jeopardy type game) is designed to review the basic concepts of quadratic models in algebra I using the categories: solving quadratics, roots and vertices, forms, quadratic formula, hodge podge. Hidden in the game is a bonus question. End the game with a Final Question.
First click on the category and amount of the question you want to answer. This will take you to the question. When you are ready to reveal the answer using the right arrow or forward key. To return to the game board click on the rectangle labeled "Q and A | 677.169 | 1 |
original book using
recipes to explain sophisticated math concepts to students and even the
math-phobic.
In a chapter on
generalization, Cheng (Mathematics/Univ. of Sheffield and Univ. of Chicago)
begins with a recipe she adapted to produce a cake that was vegan as well as
gluten-, sugar-, and dairy-free, thus extending the recipe's usefulness to
serve more people. A chapter on axiomatization describes the difference between
basic ingredients and things you can make with basic ingredients (e.g.,
marmalade). Math uses basic ingredients—axioms—that are assumed to be true and
proofs that use hard logic to derive new truths. That's what math is all about,
writes the author; it is different from science, which gathers evidence to draw
conclusions. By this time, Cheng has introduced readers to number systems,
groups and sets, algebra, and topology. She also discusses internal vs.
external motivation. In cooking, this is the difference between looking at what
is on the shelves and figuring out how to use it in a recipe you invent
(internal motivation) versus having a recipe in mind and gathering all the
ingredients you need to make it (external). The author laments the way math is
often taught, with the teacher providing a problem to solve and students
finding the correct answer. She is strongly internally motivated in the pursuit
of her specialty, category theory. She calls it the mathematics of mathematics,
a field that seeks the most abstract generalizable concepts in relation to the
worlds of mathematical objects. Cheng explains how category theory works by
emphasizing contexts, relationships, structure, and universal properties,
giving examples. The reading is tougher going here, probably because readers
are in a state she describes as believing what she is teaching but not fully
understanding it. However, Cheng is such a gifted teacher, readers will
want to dive in again.
A sharp, witty book to
press on students and even the teachers of math teachers | 677.169 | 1 |
Though spreadsheets have been used for hundreds of years by accountants, only recently has the use of computerized spreadsheets been possible. It wasn't until 1978 that a computer program called VisiCalc (short for visual calculator) written by Harvard Business School student, Daniel Bricklin (check out his story at emerged. Visicalc was the first "killer" application for personal computers. In fact, much of the early growth of the personal computer industry should be credited to the spreadsheet.
The dynamic powers of the modern spreadsheet have opened new doors to the learning process. These spreadsheets give a user the ability to easily change input data and have the spreadsheet automatically change any output from one or a series of calculations. Other attributes of the spreadsheet include the ability to allow the user to easily discover patterns in numerical data, to graphically display data, and to perform mathematical and logical operations with ease. Farther, Microsoft Excel allows even novice users the ability to combine the powers of a programming language such as Visual Basic making for even greater flexibility than ever before.
Today's world is one in which spreadsheets are used in nearly every business. However, the purpose of this text is not just to provide students with a introduction to the use of spreadsheets. The purpose of this text is instead to use the modern spreadsheet as a tool for solving problems and making decisions. It is intended to help students better understand algorithms and formulas used in finite mathematics. One purpose in using the spreadsheet is to avoid messy arithmetic which may be involved in the search for patterns in data, in solving real-world problems, and/or in making decisions based on the output of an algorithm.
The use of the spreadsheet to "discover" mathematical ideas is ripe with possibilities. One aim of this text is to begin to exploit those possiblities. Another goal of the text is to put less emphasis on routine calculation and more emphasis on the decision process used in setting up a problem and in interpreting a solution.
The text is to be used as a companion to many finite mathematics textbooks such as those written by Armstrong and Davis, Barnett and Ziegler, or Goldstein, Schneider, and Siegel to mention but a few. The exercises serve as the major component to this text. Do the exercises. Mathematics is not a spectator sport! | 677.169 | 1 |
Competitive exams, whether they are conducted to select candidates for jobs, or for admission to post graduate and doctorate courses, test the numerical aptitude of the person taking the exam. These exams test a candidate's knowledge and skill in basic arithmetic, algebra, geometry etc. They also test the Quantitative Aptitude skills of the candidate. This book is divided into two sections. The first part covers arithmetical ability. The second part covers Data Interpretation. The first part begins by taking a look at Numbers, Average, Percentage, Decimal Fractions, H.C.F. and L.C.M., Square Roots and Cube Roots.
Quantitative Aptitude For Competitive Examinations also covers Problems on Numbers and Ages, Simplification, Alligations, and Logarithms. Other topics discussed include Surds and Indices, Pipes and Cistern, Chain Rule, Boats and Streams, Simple and Compound Interests, Time and Work, Partnership, Problems on Trains, and Volume and Surface Area. This text also goes into Stocks and Shares, True Discount and Banker's Discount, Games of Skill, Races, Permutations and Combination, Series, Odd Man Out, Clocks, Heights and Distances, and Calendar. The Data Interpretation part covers Tabulation and various kinds of graphs like Bar, Pie and Line Graphs.
Quantitative Aptitude For Competitive Examinations covers every aspect of the numerical ability section of many competitive tests. Numerous examples have been used throughout the book to illustrate the concepts and problem solving techniques. This book gives the students or candidates a good idea about the kind of questions asked in these exams.
About R. S. Aggarwal
R. S. Aggarwal writes books for competitive exams. Some of the other books written by this author are Senior Secondary School Mathematics for Class-12, Mathematics for Class-8 (Paperback), Mathematics for MBA Entrance Examinations (Fully Solved), A Modern Approach To Logical Reasoning, and A Modern Approach To Verbal & Non-Verbal Reasoning.
R. S. Aggarwal has written numerous books for students in school and for competitive exams. These book are known for their simple and accessible style. He studied at the Kirori Mal College, Delhi. After finishing his Master's degree, he joined the Faculty of NAS College in Meerut. After completing his Doctorate from Delhi University, he became a Reader at NAS College. He opted for voluntary retirement in 2003. | 677.169 | 1 |
PDF (Acrobat) Document File
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0.36 MB | 51 pages
PRODUCT DESCRIPTION
Expressions and Equations Unit
TEKS:
5.4E Students will describe the meaning of parentheses and brackets in a numerical expression.
5.4F Students will simplify numerical expressions that do not involve exponents, including up to two levels of grouping
5.4B Students will represent and solve multi-step problems involving the four operations with whole numbers using equations with a letter standing for the unknown quantity.
5.4C Students will generate a numerical pattern when given a rule in the form of y=ax and y=x + a
5.4D Students will recognize the difference between additive and multiplicative numerical patterns given in a table or graph.
5.8C Students will graph in the first quadrant of the coordinate plane ordered pairs of numbers arising from mathematical and real-world problems, including those generated by number patterns or found in an input-output table.
Common Core Standards:
4.OA.A.1 4.OA.A.2 4.OA.A.3 4.OA.C5
5.OA.A.1 5.OA.A.2 5.OA.B3
6.EE.A2 6.EE.A2.A 6.EE.A2.C 6.EE.A.4
Topics:
A. Order of Operations Notes and Independent Practice
B. Simplifying Expressions Using Order of Operations Notes and Independent Practice
C. Writing Algebraic Expressions Notes and Independent Practice
D. Solving Expressions in Input-Output Tables Notes and Independent Practice
E. Solving Equations Notes and Independent Practice
F. Expressions and Equations Assessment | 677.169 | 1 |
Pre-Calculus Documents
Showing 1 to 10 of 10
English II
A and E Blocks
Dr. Rappaport
Room 211
Essay #4Chaucers Canterbury Tales
Write an essay on one of the following four topics relating to Chaucers Canterbury
Tales. Remember to start with what moved you most in any of the tales and adjust the topi
A Tale of Two Cities
By
Charles Dickens
Book 2: The Golden Thread
Chapter 5: The Jackal
Those were drinking days, and most men drank hard. So very great is the
improvement Time has brought about in such habits, that a moderate
statement of the quantity of
Jaimmille Kieounae Bray
April 25, 2002
British Literature
TR 7:15-8:30
Chaucers use of irony in the characterization of The Wife of Bath.
Within the literary world there are several devices that are used to either enhance
or play down particular situation
Showing 1 to 3 of 4
Well she is amazing teacher and she explains till you understand the material.
Course highlights:
Being able to understand sin, cos and tan.
Hours per week:
3-5 hours
Advice for students:
Well Pre-Cal is pretty easy and it baby steps each chapter
Course Term:Fall 2016
Professor:Mrs.Drucker
Course Tags:Math-heavyMany Small Assignments
Jun 18, 2016
| Probably wouldn't recommend.
This class was tough.
Course Overview:
Pre-Calculus was actually quite difficult for me. I think the course itself isn't really necessary in the high school curriculum. Algebra and geometry taught life long skills, but I personally feel pre-calculus only would be necessary if your field of interest is engineering or something similar. But for the general student body, I don't think it is a necessary course.
Course highlights:
I did learn a lot about problem solving. There were plenty of times where I would have to use methods that I hadn't been taught to figure out hard problems. I would have to put the pieces together to create the picture even though I didn't have any picture to base the puzzle off of.
Hours per week:
3-5 hours
Advice for students:
LEARN THE UNIT CIRCLE! The unit circle is something that will be presented to you early on, and it is crucial that you take advantage of it and memorize it, because if you do decide to go on to Calculus, the unit circle is going to be a crucial piece of information you will need to have memorized.
Course Term:Fall 2016
Professor:Vasbinder
Course Required?Yes
Course Tags:Math-heavyMany Small AssignmentsA Few Big Assignments
May 22, 2016
| Would highly recommend.
Not too easy. Not too difficult.
Course Overview:
I would definitely recommend this course because it gives students one year college credit. Another reason would be because the course gives students a great challenge, but the teacher is very helpful.
Course highlights:
The highlight of this course was my teacher because she made a great effort to answer all my questions and would stay after school to help any of her students, including myself. I learned various mathematical lessons very well.
Hours per week:
3-5 hours
Advice for students:
To succeed in this course I would have to review the lessons various times and do many practice problems. My advice to other students would be to make sure that they are in class everyday, pay attention to every lesson, and to study at least thirty minutes each day in order to understand the lesson given that day. | 677.169 | 1 |
Math 116 — Exam 1 February 9 th , 2009 Name: Instructor: Section: 1. Do not open this exam until you are told to do so . 2. This exam has 9 pages including this cover. There are 6 problems. Note that the problems are not of equal difficulty, and it may be to your advantage to skip over and come back One of the skills being tested on this exam is your ability to know when you must make an estimation vs. an exact calculation. Some problems will require estimations. Others will have exact answers. Methods that yield exact answers are will be given more credit than an estimation, if an exact answer is available. 7. You may use any calculator except a TI-92 (or other calculator with a full alphanumeric keypad). However, you must show work for any calculation we have learned how to do in
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"Saha does an excellent job providing a clear link between Python and upper-level math concepts, and demonstrates how Python can be transformed into a mathematical stage. This book deserves a spot on every geometry teacher's bookshelf."
—School Library Journal
Doing Math with Python shows you how to use Python to delve into high school–level math topics like statistics, geometry, probability, and calculus. You'll start with simple projects, like a factoring program and a quadratic-equation solver, and then create more complex projects once you've gotten the hang of things.
Along the way, you'll discover new ways to explore math and gain valuable programming skills that you'll use throughout your study of math and computer science. Learn how to:
Describe your data with statistics, and visualize it with line graphs, bar charts, and scatter plots
Explore set theory and probability with programs for coin flips, dicing, and other games of chance
Solve algebra problems using Python's symbolic math functions
Draw geometric shapes and explore fractals like the Barnsley fern, the Sierpinski triangle, and the Mandelbrot set
Write programs to find derivatives and integrate functions
Creative coding challenges and applied examples help you see how you can put your new math and coding skills into practice. You'll write an inequality solver, plot gravity's effect on how far a bullet will travel, shuffle a deck of cards, estimate the area of a circle by throwing 100,000 "darts" at a board, explore the relationship between the Fibonacci sequence and the golden ratio, and more.
Whether you're interested in math but have yet to dip into programming or you're a teacher looking to bring programming into the classroom, you'll find that Python makes programming easy and practical. Let Python handle the grunt work while you focus on the math.
Uses Python 3
About the Author
Amit Saha is a software engineer who has worked for Red Hat and Sun Microsystems. He created and maintains Fedora Scientific, a Linux distribution for scientific and educational users. He is also the author of Write Your First Program (Prentice Hall Learning).
Reviews
"This is a great book — the level of the material is carefully judged throughout, the mathematics and the computing complement and motivate each other, and the exercises are superb." —Dr. Ian Hawke, University of Southampton
"Will show you how to reliably express mathematical ideas and operations in Python code...the grounding this gives you will make your Python code more effective, reliable and meaningful." —Network Security Newsletter
"A good new resource for budding data scientists...contains all the important first ingredients that a newbie data scientist needs to get started in the field." —insideBIGDATA
"Doing Math with Python helps students learn how to do math with the help of a little programming. It's like learning two subjects at once." —GeekMom
"Doing Math with Python is an amazing book. I wish I could have encountered this book earlier in my own education as a way to better solidify the math I was learning. I'm working on incorporating aspects into my regular classroom because I and my MESA students have been enjoying it so much. If you are even considering getting this book, you should. And if you aren't considering it I think you should change your mind."
—Neal Whitlock, high school teacher
"Great for gaining a very basic understanding of Python and quickly turning that into something with real-world application. Along the way, you'll deepen your skills in the language." —Game Vortex | 677.169 | 1 |
STUDY GUIDE FOR SOME BASIC INTERMEDIATE ALGEBRA SKILLS
The intermediate algebra skills illustrated here will be used extensively and regularly
throughout the semester. Thus, mastering these skills is an important first step to begin
the study of precalcul
The Cell
a quick overview
The cell is one of the most important concepts in biology since every
living organism is made of cells. Bacteria are single celled while you are
made up of trillions of cells. As different as we are from bacteria, our
cells share
Math Study Guide
Here are some sites to study to help prepare you for the math portion of the placement exam or
practice tests to see what you need to review:
Numerical Skills/Pre-Algebra
Operations with Integers
Multiples and factors of integers
Operatio | 677.169 | 1 |
Linear algebra is relatively easy for students during the early stages of the course, when the material is presented in a familiar, concrete setting. But when abstract concepts are introduced, students often hit a brick wall. Instructors seem to agree that certain concepts (such as linear independence, spanning, subspace, vector space, and linear transformations), are not easily understood, and require time to assimilate. Since they are fundamental to the study of linear algebra, students' understanding of these concepts is vital to their mastery of the subject. David Lay introduces these concepts early in a familiar, concrete Rn setting, develops them gradually, and returns to them again and again throughout the text so that when discussed in the abstract, these concepts are more | 677.169 | 1 |
This revised edition of a classic textbook provides a complete guide to the calculation of eigenvalues of matrices. Written at an accessible level, this modern exposition of the subject presents fundamental aspects of the spectral theory of linear operators in finite dimension. Unique features of this book include a treatment of the convergence of eigensolvers based on the notion of the gap between invariant subspaces, and coverage of the impact of the high nonnormality of a matrix on its eigenvalues. Also included is a new chapter uncovering reasons why matrices are fundamental tools for the information processing that takes place in the dynamical evolution of systems. Some of these ideas appear in print for the first time. The book's primary use is as a course text for undergraduate students in mathematics, applied mathematics, physics and engineering. It is also a useful reference for researchers and engineers in | 677.169 | 1 |
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16.57 MB | 30 pages
PRODUCT DESCRIPTION
Focus Area of Task: Using functions to model relationships between quantities.
Core Ideas of Focus Area:
1) Students grasp the concept of a function as a rule that assigns to each input exactly one output.
2) Students understand that functions describe situations where one quantity determines another.
3) Students use linear equations and systems of linear equations to represent, analyze, and solve a variety of problems | 677.169 | 1 |
sc and clg in algebra
1.
Nancy S. Grasmick
State Superintendent of Schools
200 West Baltimore Street, Baltimore, MD 21201 410-767-0100 410-333-6442 TTY/TDD
Maryland's Voluntary State Curriculum - High School Mathematics
All high school students in the 21st
century need to be mathematically competent and confident problem solvers if they are going to be able to be successful after graduation. The
goal of the Maryland Voluntary State Curriculum (VSC) for High School Mathematics for College and Workplace Readiness is to provide high school students access to a
curriculum that will achieve this goal by preparing graduating seniors for the first credit-bearing mathematics course in college and/or preparing them for employment in high-
performance, high-growth jobs.
The Algebra/Data Analysis and Geometry Voluntary State Curricula are divided into three columns:
• Identified prerequisites from the Voluntary State Curriculum for Mathematics 3-8(VSC 3-8)
• Algebra/Data Analysis or Geometry Core Learning Goals (CLG)
• Additional Topics
The first column, devoted to the VSC 3-8 curriculum, includes the prerequisite knowledge for students prior to their studying the Algebra/Data Analysis or Geometry curriculum.
The second column contains the Core Learning Goals (CLG). All students must successfully complete an Algebra/Data Analysis course and a Geometry course in which the CLG
are a part of the curriculum. The Algebra/Data Analysis CLG are assessed on the High School Assessment, a requirement for a high school diploma. The Algebra/Data Analysis
High School Assessment also provides the data used to produce a school's Adequate Yearly Progress required by the No Child Left Behind Act. The third column includes
additional topics for this course. The format of three columns is designed to assist teachers in seeing the connections between the VSC 3-8, CLG, and additional topics.
Information concerning instruction and assessment of the curriculum in the Algebra/Data Analysis and Geometry Core Learning Goals can be found at
The Algebra II Voluntary State Curriculum (VSC AII) is divided into two columns:
• Algebra II Core Content
• Additional topics
June 2007 1 of 20
2.
The first column is comprised of an edited version of the Bridge Goals that was prepared during 1996-2000 by a group of Maryland's high school and college mathematics
teachers. The edited version also includes content contained in the American Diploma Project Algebra II curriculum. The goal of the VSC AII is for students to be prepared to
enter successfully into a credit-bearing college mathematics course.
As an integral part of the learning and assessment of mathematics in Maryland, students are expected to be able to communicate mathematically by explaining how they arrive at a
solution to a given problem, and to justify the correctness of their solution. Where appropriate, justifications may be given in the form of an algebraic or geometric proof. In
addition, the processes of problem solving and reasoning should be integral to the mathematics curriculum. Formative and summative assessments should reflect the instruction
while addressing the various levels of cognitive demand in mathematics. Real-world applications and connections to other disciplines are critical to all mathematics, and should be
included throughout the mathematics curriculum. Note that specific applications are not included in these documents. This is a deliberate decision to avoid an unintentional
narrowing of the instruction. Examples of applications may be found in public release items at
Technology – in the form of graphing calculators, computers and appropriate software-- is vital to the study of mathematics, and should be used to enhance students' understanding
of various mathematics subject matter. Technology should be employed when it can enhance students' understanding without diminishing mental mathematics and estimation
skills.
Maryland's Voluntary State Curriculum for High School Mathematics will help teachers provide instruction in mathematics that enables students to view mathematics as an
understandable, useful, and enjoyable subject.
June 2007 2 of 20
3.C2 Generalize linear relationships
Grades 6 – 8
• Identify and describe the change represented in a graph or table
• Determine the slope of a linear relationship in a graph, table or equation
Standard 6.0 Knowledge of Number Relationships or Computations
A1 Apply knowledge of rational numbers and place value
Grade 8
• Compare, order and describe positive rational numbers1 The student will recognize, describe and/or
extend patterns and functional relationships that are
expressed numerically, algebraically, and/or
geometrically.
Assessment Limits
The given pattern must represent a relationship of
the form y = mx + b (linear), y = x2
+ c (simple
quadratic), y = x3
+ c (simple cubic), simple
arithmetic progression, or simple geometric
progression with all exponents being positive.
The student will not be asked to draw three-
dimensional figures.
Algebraic description of patterns is in indicator
1.1.2
Skill Statement
Given a narrative, numeric, algebraic, or geometric
representation description of a pattern or functional
relationship, the student will give a verbal
description, or predict the next term or a specific
term in a pattern or functional relationship.
Given a numerical or graphical representation of a
relation, the student will identify if the relation is a
function and/or describe it.
Functions and relations
1.1.1.1 The student will define and interpret relations
and functions numerically, graphically, and
algebraically.
1.1.1.2 The student will use patterns of change in
function tables to develop the concept of rate
of change.
Scientific Notation
1.1.1.3 The student will multiply and divide numbers
expressed in scientific notation.
Rational numbers
1.1.1.4 The student will read, write and represent
rational numbers.
1.1.1.5 The student will compare, order and describe
rational numbers.
1.1.1.6 The student will add, subtract, multiply and
divide rational numbers.
Exponential patterns
1.1.1.7 The student will identify and extend an
exponential pattern in a table of values.
June 2007 3 of 20
4 interpretB1 Write, simplify and evaluate expressions
Grades 3 – 8
• Write, identify, and evaluate algebraic expressions
Grade 8
• Describe a real-world situation represented by an algebraic expressions
B2 Identify, write, solve and apply equations and inequalities
Grades 6 – 8
• Write equations to represent relationship that may describe real-world problems
C1 Locate points on a number line and a coordinate graph
Grades 4 – 8
• Graph order pairs in a coordinate plane
Grades 6 – 8
• Graph linear equations in a coordinate plane
C2 Analyze linear relationships
Grade 6
• Translate the graph of a linear relationship onto a table of valuesExponential Function
1.1.2.1 The student will be able to graph an
exponential function given as a table of values
or as an equation of the form y= a(bx
), where a
is a positive integer, b>0 and b ≠ 1.
June 2007 4 of 20
5 6.0 Knowledge of Number Relationships or ComputationsJune 2007 5 of 20
61 Write, simplify and evaluate expressions
Grades 6 – 8
• Write, evaluate and simplify algebraic expressions
• Evaluate numeric expressions using the order of operations
Grade 8
• Describe a real-world situation represented by an algebraic expressions
Standard 6.0 Knowledge of Number Relationships or Computations
C1 Analyze number relations or compute
Grades 7 & 8
• Add, subtract, multiply and divide integers
• Add, subtract, multiply and divide fractions and mixed numbers
• Calculate powers of integers and square roots of perfect square whole numbers
• Identify and use the laws of exponents to simplify expressions
• Use properties of addition and multiplication to simplify expressions
1.1 The student will analyze a wide variety of
patterns and functional relationships using the
language of mathematics and appropriate
technology.
1.1.3 The student will apply addition, subtraction,
multiplication, and/or division of algebraic
expressions to mathematical and real-world
problems.
Assessment Limit
The algebraic expression is a polynomial in one
variable.
The polynomial is not simplified.
Skill Statement
The student will represent a situation as a sum,
difference, product, and/or quotient in one variable.
Absolute Value
1.1.3.1 The student will locate the position of a
number on the number line, know its distance
from the origin is its absolute value and know
that the distance between two numbers on the
number line is the absolute value of their
difference.
1.1.3.2 The student will evaluate expressions
containing absolute value.
Polynomial expressions in one or two variables
1.1.3.3 The student will add, subtract, and multiply
polynomials.
1.1.3.4 The student will divide a polynomial by a
monomial.
1.1.3.5 The student will factor polynomials:
Using greatest common factor
Using the form cbxax ++
2
Using special product patterns
1. Difference of squares
))((
22
bababa +−=−
2. Perfect square trinomial
2
)(
2
2
2
bababa +=++
2
)(
2
2
2
bababa −=+−
1.1.3.6 The student will use the laws of exponents,
including negative exponents, to simplify
expressions.
Radicals
1.1.3.7 The student will simplify radical expressions
with or without variables.
June 2007 6 of 20
7 the number line and on the coordinate plane
C2 Analyze linear relationships
Grade 6
• Identify and describe the change represented in a graph
Grade 8
• Determine the slope of a graph in a linear relationship
1.1 The student will analyze a wide variety of
patterns and functional relationships using the
language of mathematics and appropriate
technology.
1.1.4 The student will describe the graph of a non-
linear function and discuss its appearance in terms of
the basic concepts of maxima and minima, zeros
(roots), rate of change, domain and range, and
continuity.
Assessment Limits
A coordinate graph will be given with easily read
coordinates.
"Zeros" refers to the x-intercepts of a graph,
"roots" refers to the solution of an equation in the
form p(x) = 0.
Problems will not involve a real-world context.
Skill Statement
Given the graph of a non-linear function, the student
will identify maxima/minima, zeros, rate of change over
a given interval (increasing/decreasing), domain and
range, or continuity.
Non-Linear Functions
1.1.4.1 The student will describe the graph of the
quadratic, exponential, absolute value, piece-
wise, and step functions.
1.1.4.2 The student will solve quadratic equations by
factoring and graphing.
June 2007 7 of 20
8C2 Analyze linear relationships
Grades 6 – 8
• Determine the slope of a linear relationship in a graph, table or equation
1.2 The student will model and interpret real-world
situations using the language of mathematics and
appropriate technology.
1.2.1 The student will determine the equation for a
line, solve linear equations, and/or describe the
solutions using numbers, symbols, and/or graphs.
Assessment Limits
Functions are to have no more than two variables
with rational coefficients.
Linear equations will be given in the form:
Ax + By = C, Ax + By + C = 0, or y = mx + b.
Vertical lines are included.
The majority of these items should be in real-world
context.
Skill Statement
Given one or more of the following:
the graph of a line
written description of a situation that can be
modeled by a linear function
two or more collinear points
a point and slope
the student will do one or more of the following:
write the equation
solve a one-variable equation for the unknown
solve a two-variable equation for one of the
variables
graph the resulting equation
interpret the solution in light of the context
evaluate the equation for a given value
create a table of values
find and/or interpret the slope (rate of change)
and/or intercepts in relation to the context.
June 2007 8 of 20
111.2 The student will model and interpret real-world
situations using the language of mathematics and
appropriate technology.
1.2.3 The student will solve and describe using
numbers, symbols, and/or graphs if and where two
straight lines intersect.
Assessment Limits
Functions will be of the form: Ax + By = C, Ax +
By + C = 0, or y = mx + b.
All coefficients will be rational.
Vertical lines will be included.
Systems of linear functions will include coincident,
parallel, or intersecting lines.
The majority of these items should be in real-world
context.
Skill Statement
Given one or more of the following:
a narrative description
the graph of two lines
equations for two lines
the student will do one or more of the following:
determine the system of equations and/or its
solution
describe the relationship of the points on one line
with points on the other line
give the meaning of the point of intersection in the
context of the problem
graph the system, determine the solution and
interpret the solution in the context of the problem
use slope to recognize the relationship between
parallel lines.
Any correct form of a linear equation will be an
acceptable response.
Parallel and Perpendicular Lines
1.2.3.1 The student will determine if two lines in a
plane are parallel, perpendicular, or neither.
June 2007 11 of 20
12 a number line and on a coordinate plane
C2 Analyze linear relationships
Grade 6
• Identify and describe the change represented in a graph
Grade 8
• Determine the slope of a graph in a linear relationship
1.2 The student will model and interpret real-world
situations using the language of mathematics and
appropriate technology.
1.2.4 The student will describe how the graphical
model of a non-linear function represents a given
problem and will estimate the solution.
Assessment Limits
The problem is to be in a real-world context.
The function will be represented by a graph.
The equation of the function may be given.
The features of the graph may include
maxima/minima, zeros (roots), rate of change over
a given interval (increasing/decreasing), continuity,
or domain and range.
"Zeros" refers to the x-intercepts of a graph,
"roots" refers to the solution of an equation in the
form p(x) = 0.
Functions may include step, absolute value, or
piece-wise functions.
Skill Statement
Given a graph which represents a real-world situation,
the student will describe the graph and/or explain how
the graph represents the problem or solution and/or
estimate a solution.
Quadratic and Exponential Functions
1.2.4.1 The student will describe the graph of the
quadratic and exponential functions.
1.2.4.2 The student will identify horizontal and
vertical asymptotes given the graph of a non-
linear function.
1.2.4.3 The student will solve, by factoring or
graphing, real-world problems that can be
modeled using a quadratic equation.
June 2007 12 of 20
132 Identify, write, solve, and apply equations and inequalities
Grades 6 – 8
• Apply formulas to problem solving
1.2 The student will model and interpret real-world
situations using the language of mathematics and
appropriate technology.
1.2.5 The student will apply formulas and/or use
matrices (arrays of numbers) to solve real-world
problems.
Assessment Limits
Formulas will be provided in the problem or on the
reference sheet.
Formulas may express linear or non-linear
relationships.
The students will be expected to solve for first
degree variables only.
Matrices will represent data in tables.
Matrix addition, subtraction, and/or scalar
multiplication may be necessary.
Inverse and determinants of matrices will not be
required.
Skill Statement
Given a formula, students will substitute values,
solve, and interpret solutions in the context of a
problem.
Given matrices, the students will perform
operations and interpret solutions in real-world
contexts.
Literal Equations
1.2.5.1 The student will solve literal equations for a
specified variable.
June 2007 13 of 20
14 3 – 5
• Collect data by conducting surveys to answer a question
Grades 3 – 8
• Organize and display data using frequency tables, line plot, back-to-back stem-and-leaf plots, and circle
graphs
Grade 5
• Determine the appropriate type of graph to display data
Standard 5.0 Knowledge of Probability
A1 Identify a sample space
Grades 3, 5, & 7
• Determine the number of outcomes in a sample space forC1 Analyze the results of a survey or simulation
Grades 6 – 8
• Make predictions and express the probability of the results as a fraction, decimal, or percent
• Conduct a probability experiment
3.1 The student will collect, organize, analyze, and
present data.
3.1.1 The student will design and/or conduct an
investigation that uses statistical methods to analyze
data and communicate results.
Assessment Limits
The student will design investigations stating how
data will be collected and justify the method.
Types of investigations may include: simple
random sampling, representative sampling, and
probability simulations.
Probability simulations may include the use of
spinners, number cubes, or random number
generators.
In simple random sampling each member of the
population is equally likely to be chosen and the
members of the sample are chosen independently
of each other. Sample size will be given for these
investigations.
Skill Statement
The student will design an investigation and justify
their design.
The students will describe how they would do an
investigation, select a sampling technique and
justify their choice
The student will demonstrate an understanding of
the concepts of bias, sample size, randomness,
representative samples, and simple random
sampling techniques.
Data Display
3.1.1.1 The student will organize and display data to
detect patterns and departures from patterns.
One example of an appropriate method for
displaying data is a spreadsheet.
Observational Studies
3.1.1.2 The student will communicate the differences
between randomized experiments and
observational studies.
June 2007 14 of 20
15 8
• Organize and display data in a variety of statistical formats, which includes line plots, stem-and-leaf plots,
frequency tables, circle graphs, box-and-whisker plots, multiple box-and-whisker plots, and scatter plots
B1 Analyze data
Grades 5, 6, & 8
• Interpret data from a variety of statistical formats, which includes line plots, stem-and-leaf plots, back-to-
back stem-and-leaf plots, frequency tables, circle graphs, box-and-whisker plots, multiple box-and-whisker
plots, and scatter plots
B2 Describe a set of data
Grades 4 – 6
• Apply the range and measures of central tendency to solve a problem or answer a question
Grade 7
• Analyze measures of central tendency to determine or apply mean, median, mode.
3.1 The student will collect, organize, analyze, and
present data.
3.1.2 The student will use the measures of central
tendency and/or variability to make informed
conclusions.
Assessment Limits
Measures of central tendency include mean,
median, and mode.
Measures of variability include range, interquartile
range, and quartiles.
Data may be displayed in a variety of
representations, which may include: frequency
tables, box and whisker plots, and other displays.
Skill Statement
The student uses measures of central tendency and
variability to solve problems, make informed
conclusions and/or display data.
The student will recognize and apply the effect of
the distribution of the data on the measures of
central tendency and variability.
Outliers
3.1.2.1 The student will identify an outlier and
describe its effect on a measure of central
tendency.
June 2007 15 of 20
16 6 & 8
• Organize and display data in a variety of statistical formats, which includes line plots, stem-and-leaf plots,
frequency tables, circle graphs, box-and-whisker plots, and scatter plots
Grades 5, 6, & 8
• Interpret data from a variety of statistical formats, also including double bar graphs, double line graphs, and
multiple box-and-whisker plots
Standard 5.0 Knowledge of Probability
A1 Identify a sample space
Grade 5
• Determine the possible outcomes ofB2 Theoretical probability
Grade 8
• Determine the probability of a second event that is dependent on a first event of equally likely outcomes
C1 Analyze the results of a survey or simulation
Grades 6 – 8
• Make predictions and express the probability of the results as a fraction, decimal, or percent
C2 Conduct a probability experimentProbability
3.1.3.1 The student will determine the probability of a
dependent event (conditional probability).
June 2007 16 of 20
17C3 Compare theoretical and experimental probability
Grades 6 – 8
C4 Describe the difference between theoretical and experimental probabilityJune 2007 17 of 20
19 1.0 Knowledge of Algebra, patterns, or Functions
C1 Locate points on a number line and in a coordinate graph
Grades 4 – 7
• Identify and graph ordered pairs in a coordinate plane
Grades 7 & 8
• Graph linear equations in a coordinate plane
C2 Analyze linear relationships
Grades 6 – 8
• Identify slope from a table of values, a graph, or a linear equation
Grades 7 & 8
• Determine slope (rate of change) from a table of values, graph, or linear equation
B2 Identify, write, solve, and apply equations and inequalities
Grades 6 – 8
• Solve for the unknown in a linear equation
Standard 4.0 Knowledge of Statistics
A1 Organize and display data
Grade 8
• Organize and display data to make a scatter plot
3.2 The student will apply the basic concepts of
statistics and probability to predict possible
outcomes of real-world situations.
3.2.2 The student will interpret data and/or make
predictions by finding and using a line of best fit and
by using a given curve of best fit.
Assessment Limits
Items should include a definition of the data and
what it represents.
Data will be given when a line of best fit is
required.
Equation or graph will be given when a curve of
best fit is required.
Skill Statement
The students will find a line of best fit, use it to
interpolate and extrapolate, and/or interpret slope
and intercepts.
The student will use a curve of best fit to
interpolate and extrapolate.
The student's response will be in the context of the
problem.
June 2007 19 of 20
20B1 Analyze data
Grade 7
• Recognize misuses of data
• Analyze misleading data representations
Standard 2.0 Knowledge of Geometry
B1 Analyze the properties of solid geometric figures
Grades 3 & 4
• Identify and describe prisms, pyramids, cylinders, and cones
Standard 3.0 Knowledge of Measurement
C1 Estimate and apply measurement formulas
Grades 3 & 6
• Estimate and determine the volume of rectangular prisms
Grade 7
• Estimate and determine the volume of a triangular prism
Grade 8
• Estimate and determine the volume of cylinders, cones, pyramids, and spheres
3.2 The student will apply the basic concepts of
statistics and probability to predict possible
outcomes of real-world situations.
3.2.3 The student will communicate the use and
misuse of statistics.
Assessment Limits
Examples of "misuse of statistics" include the
following:
misuse of scaling on a graph
misuse of measures of central tendency and
variability to represent data,
using three-dimensional figures inappropriately
using data to sway interpretation to a predetermined
conclusion
using incorrect sampling techniques
using data from simulations incorrectly
predicting well beyond the data set.
Skill Statement
The student will analyze and identify proper and
improper use of statistical data and/or statistical
methods.
Correlation and Causation
3.2.3.1 The student will recognize when arguments
based on data confuse correlation with
causation.
June 2007 20 of 20 | 677.169 | 1 |
is designed to help a variety of readers bridge the gap between arithmetic and algebra. Slightly more rigorous than most arithmetic books -- but not as difficult or comprehensive as elementary algebra books -- it uses an innovative, integrated arithmetic/algebra approach that develops algebraic skills using "small steps," spirals topics throughout, emphasizes that algebra rules are just an extension of arithmetic, and teaches readers the specific study skills necessary to accommodate their individual learning styles -- including skills for "translating" the language of mathematics into plain English. Covers: Addition and Subtraction of Whole Number Expressions. Multiplication and division of Whole Number Expressions. Signed Numbers. Fractions and Ratio and Proportion. Equations and Polynomials. Fractional Expressions. Decimals and Percents and Radical Expressions. Graphing and Statistics. Measurement and Geometric Figures. For those with math anxiety or frustration who need to make the transition from arithmetic to algebra. | 677.169 | 1 |
ELEMENTARY STATISTICS: A STEP BY STEP APPROACH is for general beginning statistics courses with a basic algebra prerequisite. The book is non-theoretical, explaining concepts intuitively and teaching problem solving through worked examples and step-by-step instructions. The new edition features increased emphasis on the computing technologies commonly used in such coureses.
"synopsis" may belong to another edition of this title.
From the Publisher:
"Technology Step by Step" sections show how to solve basic problems using Minitab software, the TI-83 graphing calculator, or Excel. CD-ROM with data sets formatted for popular computing tools as well as supplemental worked examples and exercises. More examples and exercises based on actual data. Statistics Today problems open every chapter. These real-life problems, accompanied by a photo or graphic and sometimes a news item, show students the relevance of the chapter's topic. The answer is provided at chapter end. Procedure Tables embody the book's step-by-step approach. These boxes summarize methods for solving various types of common problems. Worked examples include EVERY step. Critical Thinking Challenges at the end of each chapter extend chapter concepts into new areas, inviting students to think about and apply what they have learned.
About the Author | 677.169 | 1 |
Synopses & Reviews
Publisher Comments
This project is based on the use of graphing calculators by students enrolled in calculus. There is enough material in the book to cover precalculus review, as well as first year single variable calculus topics. Intended for use in workshop-centered calculus courses. Developed as part of the well-known NSF-sponsored project, Workshop Mathematics, the text is intended for use with students in a math laboratory, instead of a traditional lecture course. There are student-oriented activities, experiments and graphing calculator exercises found throughout the text. The authors are well-known teachers and innovative thinkers about ways to improve undergraduate mathematics teaching.
Synopsis
these volumes cover topics in calculus while simultaneously reviewing precalculus concepts. Activities, experiments, and exercises are found throughout.
Synopsis
TO THE INSTRUCTOR I hear, I forget. I see, I remember. I do, I understand. Anonymous OBJECTIVES OF WORKSHOP CALCULUS 1. Impel students to be active learners. 2. Help students to develop confidence about their ability to think about and do mathematics. 3. Encourage students to read, write, and discuss mathematical ideas. 4. Enhance students understanding of the fundamental concepts under- ing the calculus. 5. Prepare students to use calculus in other disciplines. 6. Inspire students to continue their study of mathematics. 7. Provide an environment where students enjoy learning and doing ma- ematics. xi xii To the Instructor THE WORKSHOP APPROACH Workshop Calculus with Graphing Calculators: Guided Exploration with Review provides students with a gateway into the study of calculus. The two-volume series integrates a review of basic precalculus ideas with the study of c- cepts traditionally encountered in beginning calculus: functions, limits, - rivatives, integrals, and an introduction to integration techniques and d- ferential equations. It seeks to help students develop the confidence, understanding, and skills necessary for using calculus in the natural and - cial sciences, and for continuing their study of mathematics."
Synopsis
Based on the popular "Workshop Approach", which has been hailed by the community for its hands on approach, these new versions of the popular Workshop Calculus allow the easy incorporation of a graphing calculator. Like the originals, these volumes cover topics in calculus while simultaneously reviewing precalculus concepts. Activities, experiments, and exercises are found throughout. | 677.169 | 1 |
GeoCalculator Portable GeoCalculator is based on the familiar Windows Calculator but takes geological structural data for input and output. Calculations include most common structural geometrical calculations as well as drillhole calculations for oriented, partially oriented, an
Infintum Learning Zone is our hands on "fun" inspired educational software designed for children in Kindergarten through Fifth grades. It is designed with children in mind to gain and maintain their attention and help them practice and build upon their basic educat
Simple Grapher Plus Simple Grapher is an application that enables you to create advanced plots and graphs using mathematical functions. The program allows you to graph 2D and 3D drawing for educational purposes and could be a helpful tool for teaching mathematics in middle an
Statistics Pro Statistics Pro is designed for high school and college students to compute tedious sums, probabilities, perform data analysis, confidence intervals, hypothesis testing, normal tables and more. This version is the first release on CNET Download.com.What is
ForcePlot ForcePlot is a simple application to solve mathematical equations. It has the ability to plot difficult 2D graphs at the cost of few seconds of computing.
Number and Text Transformations Number and Text Transformations is a Windows software application providing several transformations related to numbers and text. It generates VTracs or combinations (3 styles). It is also capable of word counting for a provided text, transforming numbersFC Win FCAlgematics Algematics can actually do your high school algebra, one step at a time! You can finish your work without waiting to ask your teacher. Enter equations and expressions straight out of your book or from your homework sheet. Simply point and click to factoriz | 677.169 | 1 |
Sounds harmonious: Track 1
Featuring: VideoAudio
Math can be applied to pretty much everything in existence, and music is of no exception. Across this album, The Open University's Alan Graham shares his wealth of knowledge on the relationship between music and math, demonstrates many easy-to-follow theories and examples, and performs several pieces of traditional music with his band Betty's Kitchen. This material forms part of The Open University course MU120 Open mathematics.
Tracks in this podcast:
The Open University's Alan Graham shares his knowledge on the link between music and math, and his band Betty's Kitchen perform several songs and talk us through their instruments.
Play now Music and mathYou may have met complex numbers before, but not had experience in manipulating them. This free course gives an accessible introduction to complex numbers, which are very important in science and technology, as well as mathematics. The course includes definitions, concepts and techniques which will be very helpful and interesting to a wide variety of people with a reasonable background in algebra and trigonometry.
This free course, Modelling static problems, lays the foundation of the subject of mechanics. Mechanics is concerned with how and why objects stay put, and how and why they move. In particular, the course considers why objects stay put. And it assumes that you have a good working knowledge of vectors.
This free course looks at Scotsman John Napier, best known to for his treatise on Protestant religion. However, it was his interest in a completely different subject that radically altered the course of mathematics. After 40 years of dabbling in maths, he revealed his table of logarithms in the early 17th century.
Numerical and mathematical skills are used to describe and tackle a wide range of problems. These key skills are about understanding when particular techniques should be used, how to carry them out accurately and which techniques should be applied in particular situations. Developing your numerical, graphical and algebraic skills means being able to plan how you are going to use your skills over a period of time, monitoring your progress and then reviewing your approach. In this free course, Key skills assessment unit: Application of number, you will learn to use and adapt your skills confidently and effectively in different situations and contexts.
Graphs are a common way of presenting information. However, like any other type of representation, graphs rely on shared understandings of symbols and styles to convey meaning. Also, graphs are normally drawn specifically with the intention of presenting information in a particularly favourable or unfavourable light, to convince you of an argument or to influence your decisions. This free course, Exploring distance time graphs, will enable you to explain, construct, use and interpret distance-time graphs.
When you encounter maths or technical content youll need to know how to interpret this information, and possibly to present your own findings in this way. This free course, More working with charts, graphs and tables, will help you to develop the skills you need to do this, and gain the confidence to use them. This free course can be used in conjunction with, and builds on the free course, Working with charts, graphs and tables | 677.169 | 1 |
The Metrical Matrix in Teaching MineralogySummaryContext
Audience
This activity is designed for an undergraduate required course in mineralogy and is generally for sophomore or junior level students.
Skills and concepts that students must have mastered
Students should have an understanding of general mineralogy and crystal geometry. Students should also be familiar with solving mathematical matricies exercise is designed to aid in student understanding of crystal geometry, including d-space, bond length, bond angle, and other calculations.
Higher order thinking skills goals for this activity
Other skills goals for this activity
Description of the activity/assignment | 677.169 | 1 |
HOW TO GET STARTED TI Navigator System. This equipment is very expensive and must be taken care of very carefully! You are being trusted to handle this.
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Presentation on theme: "HOW TO GET STARTED TI Navigator System. This equipment is very expensive and must be taken care of very carefully! You are being trusted to handle this."— Presentation transcript:
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HOW TO GET STARTED TI Navigator System
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This equipment is very expensive and must be taken care of very carefully! You are being trusted to handle this equipment with the utmost respect. Please follow all the rules and instruction from your teacher! These rules are put into place to help protect the equipment while allowing everyone to benefit from it.
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To Begin: Turn on your calculator Hit the purple apps button You should get the screen on the right to appear Hit 7 NavNet
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Hit "enter" to go to the login screen. At the login screen, type in your username. This is your student ID number You must hit the green alpha key to change it from letters to numbers before you type in your ID Your Password is aaa Hit enter or y= (ok) to continue
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You should see the home screen like the one on the right
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The teacher will send you a Learn Check either before or after you've logged in. The screen will look like the one on the right After the Learn Check has been received you will see this screen Hit back (zoom) to return to the home screen
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In order to find the learn check hit 2: network apps
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You will get to the main Learn Check screen Hit "enter" to find the Learn Checks that have been uploaded Hit enter Hit enter on the first problem to begin the learn check | 677.169 | 1 |
ISBN: 9780170181433 Format: Book with Other Items Number Of Pages: 72 Published: 31 July 2009 Country of Publication: AU Dimensions (cm): 24.6 x 24.6 x 24.6 Description: A+ National Pre-apprenticeship Maths and Literacy is a write-in workbook that helps to prepare students seeking to gain a variety of apprenticeships and traineeships. It combines practical, real-world scenarios and terminology specifically relevant to their chosen industry, and provides students with the mathematical and literacy skills they need to confidently pursue a career within that trade. Mirroring the format of current apprenticeship entry assessments, Pre-apprenticeship Maths and Literacy for Plumbing includes hundreds of questions to improve students' potential of gaining a successful assessment outcome of 75'80% and above. This workbook will therefore help to increase students' eligibility to obtain a Plumbing Apprenticeship. Pre-apprenticeship Maths and Literacy for Plumbing also supports and consolidates concepts that students studying VET (Vocational Educational Training) may use, as a number of VCE VET programs are also approved pre-apprenticeships. This workbook is also a valuable resource for older students aiming to revisit basic literacy and maths in their preparation to re-enter the workforce at the apprenticeship level | 677.169 | 1 |
Interactive Notebook: Solving Algebra Equations (8 flippables)
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This download includes 8 pocket flippables showing the solving process of 8 different equations (see below). Once put together, each pocket holds a series of different-sized cards that align to show the steps of solving. On the bottoms of each card (out of sight when the cards are all in place) are explanations for each step. Students can add each card to its pocket while reading why each step was taken to solve the equation. The 8 flippables cover equation types with | 677.169 | 1 |
MYTUTOR SUBJECT ANSWERS
Answers /
Maths /
IB /
What are the key elements to include in your Math assignment?
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What are the key elements to include in your Math assignment?
1) Enthusiasm. The examiners want to see your interests and passion in Math exploration in your everyday life. So, do research, get inspired and look for mathematic application in your interests before you decide your topic.
2) logical and concise organazation. Make sure your exploration is in chronological order, everything clearly labled and easy to understand. Yes, logical reasoning is the key in Mathematics.
3) self- reflection. Remember your whole assignment is a self exploration, therefore you need to reflext on what you find out and learn through your journey. Basically, include everything you feel and think about your experiementaions in your exploration if relevant.
Still stuck? Get one-to-one help from a personally interviewed subject specialist
23Hello there!Who am I?I am currently an Architecture undergraduate student at the University of Edinburgh. I have just completed the International Baccalaureate Diploma last summer and that for me was an unforgettable experience in | 677.169 | 1 |
7.2 Solving Linear Systems using Substitution
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Welcome to a flipped classroom video! This video teaches students how to Solve Linear Systems using the substitution method, and offers practice problems where students can pause the video and try it on their own. My own crazy math humor is added as well and kids love it! I have students watch the video at home to learn the material and write all practice problems from the video in a notebook for their "homework". Students then come to class to work on an extension activity to reinforce this learning.
My kids tell me everyday that they wish other teachers made videos for a flipped classroom because they are able to remember the information a lot more when they can pause, rewind, and fast forward a video. This video is great for auditory, visual, and kinesthetic learners.
This video teaches the content from Algebra 1 Concepts and Skills by Larson, Boswell, Kanold, and Stiff for section 5.2 in the book | 677.169 | 1 |
Description
Learn IT lessons are designed in a way easy to understand and improve problem solving skills. It makes math friendlier for students who struggle in math.
The Mathematical concepts are explained through Animated examples and Voice instructions. These examples are solved with a step by step solution.
Students can test their level of understanding through checkpoints in between the lessons. This App is based on the curriculum of Middle and High School Algebra.
Learn IT:
Lessons were developed by Learn IT in partnership with PITSCO education. PITSCO's math and science products are widely used by students.
Features:
100% offline
Learn about radicals, cube root symbol, how to conjugate, and how to find the square and cube root of numbers. Determine the integers forming perfect squares, and the cubic measurements. Learn about the square root of prime numbers, and the properties used to simplify radical expressions.
This unit of instruction includes the following 5 lessons:
Perfect Squares and Square Roots
-Identify perfect squares.
-Find the square root of perfect squares.
-Approximate the square root of whole numbers.
Cube Roots
-Find cube roots of numbers.
-Solve cubic equations.
Simplifying Square Roots
-Find the principal and negative square root.
-Simplify square roots to find the exact answer.
Radical Expressions
-Simplify radical expressions.
Radical Expressions / Operations
-Add and subtract radical expressions with like and unlike radicals.
-Multiply radical expressions.
Other Apps from Learn IT:
Integer
Decimal Operation
Intro to Decimals
Angles
Angle Relationships
Calculators
Functions
Matrices
Logic and Sequences
Data Graphs II
Graphing Calculators
Accuracy
Linear Equations and Graphing
Triangles
Units
Operations with Fractions II
Polynomials
Special Equations
Quadratics
Factoring
Exponential Equations
Data Graphs I
Sets
Probability
System of Equations
Exponents
Circles
Radicals
More Apps coming soon:
Intro to Fractions
Transformations
Polygons
Prisms and Pyramids
Inequalities
Real Number System
Properties of Real Numbers
Ratios and Percents
Operations with Fractions I
Equations
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Unformatted text preview: the positional number system and the number zero to the Western world in the 12th century. 12th Algebra Algebra
Algebra is the formal manipulation of symbols {a, b, c, …; 0, 1, 2,…} using an addition (+) a, and a multiplication (·), which satisfy the which following axioms: following Additive identity & inverse: a+0=a=0+a a + (– a ) = 0 = (– a ) + a Associativity : (a + b) + c = a + (b + c) Associativity Algebra, cont. Algebra, Multiplicative identity & inverse, a·1=a=1·a a · a–1 = 1 = a–1 · a Commutativity: a + b = b + a Commutativity: Distributivity: a · ( b + c) = a · b + a · c ( b + c) · a = b · a + c · a Simultaneous Equations Simultaneous
One of the major applications of algebra is the One following: Given a system of equations, determine all the values of the variables which satisfy the system of equations. We can find all the solutions to the system of equations by using one of the following algebraic methods: one Directly, Kramer's Rule, and Matrix method. Construction of Real Spaces Constructi...
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Show More review and ramp-up material, Calculus Essentials For Dummies sticks to the point with content focused on key topics only. It provides discrete explanations of critical concepts taught in a typical two-semester high school calculus class or a college level Calculus I course, from limits and differentiation to integration and infinite series. This guide is also a perfect reference for parents who need to review critical calculus concepts as they help high school students with homework assignments, as well as for adult learners headed back into the classroom who just need a refresher of the core concepts.The Essentials For Dummies SeriesD From algebra and chemistry to grammar and Spanish, our expert authors focus on the skills students most need to succeed in | 677.169 | 1 |
Maths Author: Dr. Graham Lawler
ISBN: 9781842852651 Format: Paperback Number Of Pages: 208 Published: 17 May 2011 Country of Publication: GB Dimensions (cm): 21.5 x 13.7 x 1.6 Description: In Focus- A Studymates Series Who else wants to spend less time studying and be able to calculate correctly each time? This book is aimed at anyone - adults and children alike - who is having trouble with basic mathematics This book includes details on: * Numbers and place value, * Dealing with fractions, * Calculating with percentages, * Working with decimals, * Using a calculator, * Angles and turning, * Area and volume, * Data handling, * Probabilities and chance, * Estimating and checking | 677.169 | 1 |
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Solving Equations and Systems of Equations Quick Checks
Standards Based Assessments for the Expressions and Equations for 8th Grade Common Core Math
This file includes three quick checks for each of the following goals for Common Core Standards 8.EE.7 and 8.EE.8:
- I can solve equations with one solution, no solution, or infinitely many solutions.
- I can use the distributive property to solve multi-step equations.
- I can solve systems of equations by graphing.
- I can solve systems of equations algebraically.
- I can solve real-world problems involving systems of linear equations.
I use quick checks in my intervention classes as a way for the students to keep track of their progress and mastery. They could also be used in the regular classroom as a quick progress check to see if your students are understanding the material. You could use quick checks as a warm-up, exit ticket, or as a quick quiz! There are a total of 15 quick checks included in this product.
The file also includes a progress recording sheet for students to record their progress and date when mastery level is reached. My students keep a folder for their progress recording sheets and all quick checks. The students will take a quick check, then bring it up to me to be graded. I can quickly grade and record the score in my own records, and then the student takes the quick check back to their seat where they can record their score and file the quick check in their folder. Put the students in charge of staying organized, and they can look back to use the quick checks to help study for the test at the end of the unit | 677.169 | 1 |
Place the problems from school textbook on algebra and geometries with their own decisions.
the Textbooks:
G. P. Bevz. The Algebra. The Test textbook for 7-9 classes of the secondary school. 2001
O. V. Pogorelov. The Geometry. The Textbook for 7-9 classes of the secondary school. 1994
* Can send their own variants of the decisions of the problems, remarks, prompt. Write on contact e-Mail.
In school is ill to teach the russian language and have put(deliver)ed on change mathematics. Well, signifies, comes he on lesson. The Mathematician: - What subject of the last occupation? the Pupils: - Cases. the Mathematician: - Repeat the cases. Nominative: кто, что. Genitive: кого, чего. Dative: to whom... - but has further forgotten. the Mathematician: - Who knows? the Pupils: - do Not remember. the Mathematician: - Then shall remove. Let unknown word X, then: кого, чего кому, Х Form proportion: ЧеГо*КоМу Х = ---------------- = ЧеМу КоГо | 677.169 | 1 |
Maths for Practice and Revision: Bk. 2 (Paperback)
One of five textbooks for use in school and at home. Each left-hand page shows methods with worked examples. The corresponding right-hand page gives questions for the student to try. Topics covered include: factors, including prime factors, HCF and LCM; squares, square roots and cubes; unitary (units and quantities); ratio; linear measurement; approximation and estimation; decimal places and significant figures; standard form; plane figures, including perimeter and area; solids, including nets; and volume of prism | 677.169 | 1 |
An Introduction to Finite Projective Planes
Geared toward both beginning and advanced undergraduate and graduate students, this self-contained treatment offers an elementary approach to finite projective planes. Following a review of the basics of projective geometry, the text examines finite planes, field planes, and coordinates in an arbitrary plane. Additional topics include central collineations and the little Desargues' property, the fundamental theorem, and examples of finite non-Desarguesian planes. Virtually no knowledge or sophistication on the part of the student is assumed, and every algebraic system that arises is defined and discussed as necessary. Many exercises appear throughout the book, offering significant tools for understanding the subject as well as developing the mathematical methods needed for its study. References and a helpful appendix on the Bruck-Ryser theorem conclude | 677.169 | 1 |
Beschreibung:
Über diesen Titel:
These authors understand what it takes to be successful in mathematics, the skills that students bring to this course, and the way that technology can be used to enhance learning without sacrificing math skills. As a result, they have created a textbook with an overall learning system involving preparation, practice, and review to help students get the most out of the time they put into studying. In sum, Sullivan and Sullivan's Precalculus: Enhanced with Graphing Utilities gives students a model for success in mathematics.
This is just the standalone book.
Über den Autor:
Mike Sullivan is a Professor of Mathematics at Chicago State University and received a Ph.D. in mathematics from Illinois Institute of Technology. Mike has taught at Chicago State for over 30 years and has authored or co-authored over fifty books. Mike has four children, all of whom are involved with mathematics or publishing: Kathleen, who teaches college mathematics; Mike III, who co-authors this series and teaches college mathematics; Dan, who is a Pearson Education sales representative; and Colleen, who teaches middle-school mathematics. When he's not writing, Mike enjoys gardening or spending time with his family, including nine grandchildren.
Mike Sullivan III is a professor of mathematics at Joliet Junior College. He holds graduate degrees from DePaul University in both mathematics and economics. Mike is an author or co-author on more than 20 books, including a statistics book and a developmental mathematics series. Mike is the father of three children and an avid golfer who tries to spend as much of his limited free time as possible on the golf course | 677.169 | 1 |
Compiled a Real Number System dictionary of comprehensive definitions with illustrations and examples.
Researched the interrelationships that exist within the Real Number System including learning how to identify the
kinds of numbers each set contains and figuring out a way to help you
determine how to classify real numbers.
Written a journal entry that serves to analyze the interrelationships that exist within the Real Number System using your definitions, research, and the photo gallery.
Taken the Real Number System quiz,
Take one last look at the rubric and ask yourself if your work is complete and does it meet the requirements.
If you answered yes, then you must now submit all of your work to your teacher for evaluation.
GOOD LUCK!
By the way, if you found this area of study interesting, you may enjoy exploring further the field of Number Theory. See the links below to get started. | 677.169 | 1 |
This literature guide is a bibliography of books, articles, and periodicals concerned with mathematical recreations. This is the third edition of a book which contained more than 2,000 entries in its original edition. Supplements have been added to bring the bibliography up-to-date. The guide is intended for the professional mathematician and the amateur who is interested in mathematics as a hobby. For this reason both popular articles and technical discussions are included. In many cases, entries are annotated as an aid to the user of this book. The author points out that this guide can serve as a place to look for source materials and will be helpful to students looking for project material and advanced students engaged in research. Also, the many non-technical articles will provide enjoyment for the layman interested in mathematics as a recreation. (FL) | 677.169 | 1 |
Check Your Delivery Options
This book is designed as a text for readers who are doing higher mathematics and want to understand the subject in concise manner. The topics dealt with include Polynomial rings, Vector space theory,Inner product space,Gram Schmidt orthogonalisation process,Field theory(Extension of fields,Perfect field,Finite field). This book attracts the reader who wishes to do self-study. Key-features 1. Inclusion of lots of observation with easy proofs. 2. Gives simplified treatment of difficult topics. 3. Easy to grasp any concept. 4. Field theory in geometrical view. | 677.169 | 1 |
Vectors & Geometric Proof - Complete Unit of Work
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In this unit students will learn how to use vectors in Maths. They will start by understanding vector notation, including column vectors and learning properties of parallel vectors (including those in opposite directions). They will then learn how to add and subtract vectors and how to multiply vectors by a scalar. Students will then apply their knowledge of vectors to geometric problems, including problems that involve a line being split in a given ratio, and proving that points are co-linear or that lines are parallel using vectors4 Lesson Plans: Full ready-to-use lesson plans on the following topics | 677.169 | 1 |
Inc
Pijush K. Ghosh#Koichiro Deguchi: Wiley John + Sons.* Explains the fundamental and advanced relationships between algebraic system and shape description through the set-theoretic approach* Promotes interaction of image processing geochronology and mathematics in the field of algebraic geometry* Provides a shape description scheme that is a notational system for the shape of objects* Offers a thorough and detailed discussion on the mathematical characteristics and significance of the Minkowski operators A Morphological Approach to Image Processing and Computer Graphics Buch (fremdspr.) Bücher>Fremdsprachige Bücher>Englische Bücher, Wiley-Blackwell
Ghosh, Pijush K.; Deguchi, Koichiro
Titel:
Mathematics of Shape Description: A Morphological Approach to Image Processing and Computer Graphics
ISBN-Nummer:
0470823070
* Explains the fundamental and advanced relationships between algebraic system and shape description through the set-theoretic approach
* Promotes interaction of image processing geochronology and mathematics in the field of algebraic geometry
* Provides a shape description scheme that is a notational system for the shape of objects
* Offers a thorough and detailed discussion on the mathematical characteristics and significance of the Minkowski operators | 677.169 | 1 |
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Teacher Notes
The topic included in these notes is Solving Polynomial equations using the Rational Root Theorem and Synthetic Division.
Included are 4 different examples using the Rational Root Theorem:
1) Solving a cubic polynomial with lead coefficient > 1
2) Solving a cubic trinomial with lead coefficient = 1
3) Solving a quartic polynomial with lead coefficient =1
4) Solving a quantic polynomial with lead coefficient >1
The graphic organizer can be used as a review guide before a test or it could also be used instead of notes; students actually prefer this type of note taking format. I use an interactive notebook, and each graphic organizer can be placed in one page of the notebook.
I hope this organizer is helpful to you and your students; I would love to hear back from you and see how it helped you.
Common Core State Standards:
*CCSS.Math.Content.HSA-APR.A.1 Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.
*CCSS.Math.Content.HSA-SSE.B.3a Factor a quadratic expression to reveal the zeros of the function it defines | 677.169 | 1 |
Functions in all Formats Powerpoint - for instruction, review or assessment
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** See packet that contains all 3 Function worksheets or Complete Packet that includes Worksheets, Introduction and Foldable***
This PowerPoint file provides 25 examples of tables, graphs, equations and mappings - some are functions, some are not! This versatile PowerPoint can be used as instruction, review or assessment.
*** See my function worksheet/sorting activities to supplement this PowerPoint. ***
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Many Common Core standards are touched by this applicable, one of the most applicable would be:
Define, evaluate, and compare functions.
CCSS.Math.Content.8.F.A.1 Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
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Please visit my math BLOG: or e-mail me: DebbiesLemonadeStand@Charter.net | 677.169 | 1 |
Neuware - There are many books on the use of numerical methods for solving engineering problems and for modeling of engineering artifacts. In addition there are many styles of such presentations ranging from books with a major emphasis on theory to books with an emphasis on applications. The purpose of this book is hopefully to present a somewhat different approach to the use of numerical methods for - gineering applications. Engineering models are in general nonlinear models where the response of some appropriate engineering variable depends in a nonlinear manner on the - plication of some independent parameter. It is certainly true that for many types of engineering models it is sufficient to approximate the real physical world by some linear model. However, when engineering environments are pushed to - treme conditions, nonlinear effects are always encountered. It is also such - treme conditions that are of major importance in determining the reliability or failure limits of engineering systems. Hence it is essential than engineers have a toolbox of modeling techniques that can be used to model nonlinear engineering systems. Such a set of basic numerical methods is the topic of this book. For each subject area treated, nonlinear models are incorporated into the discussion from the very beginning and linear models are simply treated as special cases of more general nonlinear models. This is a basic and fundamental difference in this book from most books on numerical methods. 1014 pp. Englisch. Bookseller Inventory # 9781402099199
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From the reviews: "This voluminous book by Hauser ... covers numerical topics ranging from roots of nonlinear equations to introductory finite element method. The advantage of this work lies in the author's approach of show-and-tell or 'learning by example.' ... The examples are almost exclusively in the area of nonlinear electronics ... which may be quite advantageous for electronics engineers. ... Summing Up: Recommended. Upper-division undergraduate through professional collections." (R. N. Laoulache, Choice, Vol. 47 (3), November, 2009) "The book represents a comprehensive guide for the exploitation of standard numerical tools in nonlinear engineering problems. The presentation style ensures a balanced construction in providing mathematical knowledge illustrated by relevant examples. ... suitable for self-study and teaching support at the first postgraduate level. The book is recommended to educators interested in preparing or upgrading lecture notes and seminars, students specializing in different fields of engineering, and practitioners working with various types of nonlinear models." (Octavian Pastravanu, Zentralblatt MATH, Vol. 1173, 2009) | 677.169 | 1 |
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