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Math homework help for highschool
During the high school years, homework gets more intense and grades become critical for college plans.A guide to books, videos, websites and other resources that provide homework help for high school students.The Following Links Can Help You Or Your Student With Their Math Homework.
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Campuscompare is an interactive Web site offering fun tools that engage high school students.Brightstorm math videos cover from Pre. has helped hundreds of students succeed in high school and college.
Enter your e-mail address to receive the FREE edHelper.com newsletter.High School Homework Help With High School Math Help at your Fingertip. High school math help will be tailored to specific course requirements, class and grade level.Math Vocabulary Cards by Granite School District:. handouts and homework help.
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Homework Help is a valuable math resource available to all LDCSB students who are registered in a Grade 7, 8, 9 or 10 math course, as it allows them to access live.
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High school math for grade 10, 11 and 12 math questions and problems to test deep understanding of math concepts and computational procedures are presented.
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Get help with high school. and free math help online for homework with topics ranging from algebra and.Hotmath explains math textbook homework problems with step-by-step math answers for algebra,. | 677.169 | 1 |
This mathematics course is designed to develop numeracy skills by combining mathematical knowledge, communication skills, problem solving, connecting ideas, reasoning, mental math, estimation, visualization, and the use of technology. Students will construct their own meaning out of mathematics, understand math in meaningful contexts, and learn to move from concrete to abstract ideas by linking concrete, pictorial, and symbolic concepts.
MATHEMATICS 8 NUMERACY(MMA--08N)
This course is intended for students who have had difficulty with mastering the mathematics skills required for Mathematics 8 in elementary school.They will be working on the same curricular topics as students enrolled in Mathematics 8 but at a more introductory level.Students successful in this course may enroll in Mathematics 8 or Mathematics 9 Numeracy for their next course. Students are recommended for this program by their grade seven teachers after consultation with the Sutherland Mathematics Department.Parents are informed by the elementary school principal of the opportunity for enrollment in this program.This program does not appear on the selection sheet.
MATHEMATICS 9(MMA--09)
This mathematics program continues to develop the math concepts and thinking skills from the grade eight curriculums. Students will hear and provide explanations, draw to represent their thinking, engage in experiences with concrete materials, visualize, and discuss their thinking with others in order to create deeper understanding. Students will learn to be investigative thinkers, and will build perseverance through solving challenging problems. Students who have above-average ability are encouraged to write the Pascal Mathematics Contest and to proceed to Foundations of Mathematics and Pre-Calculus 10 Honours the following year.
Prerequisite:MMA--08
MATHEMATICS 9 NUMERACY(MMA--09N)
Enrollment in this course will be decided by recommendation of the grade 8 teachers in consultation with the student and parents.The student will be working on the same curricular topics as students enrolled in Mathematics 9, but they will be studying them at a more introductory level.Where possible, they will be encouraged to engage in the regular classroom routine.Students successful in Mathematics 9 Numeracy will enroll in Math 9 or Apprenticeship and Workplace Mathematics 10.
Prerequisite MMA-08/08NPrerequisite: MMA—08/08N
APPRENTICESHIP & WORKSPLACE MATHEMATICS 10 (4 credits) (MAWM-10)
This course is provincially examinable. Math 8 and 9.
Prerequisite: MMA--09/09N
FOUNDATIONS OF MATHEMATICS & PRE-CALCULUS 10 (4 credits)(MFMP-10)
This course is provincially examinable.
This course is designed to provide students with the mathematical understandings and critical thinking skills identified for post secondary studies in both the arts and the sciences. The course will concentrate on algebra, number theory and operations, relations and functions, trigonometry, measurement, and logical reasoning, and will continue to focus on the mathematical processes learned in Math 8 and 9.
Prerequisite: MMA--09
FOUNDATIONS MATH & PRE-CALCULUS 10 HONOURS (4 credits) (MFMP-10H)
This course is provincially examinable.
The topics covered in Foundations of Mathematics and Pre-Calculus 10H are the same as in Foundations of Mathematics and Pre-Calculus 10. Students will be exposed to the topics at a higher level of difficulty. Foundations of Mathematics and Pre-Calculus 10H students will write the same unit tests and final exam as students enrolled in the Foundations of Mathematics and Pre-Calculus 10. Students will be expected to participate in Mathematics competitions.
Prerequisite:MMA--09
APPRENTICESHIP & WORKPLACE MATHEMATICS 11 (4 credits) (MAWM-11) MAWM 10.
Prerequisite:MAWM-10
FOUNDATIONS OF MATHEMATICS 11(4 credits)(MFOM-11 MFMP-10
PRE-CALCULUS 11(4 credits)(MPREC11)
This course is designed to provide students with the mathematical understandings and critical thinking skills identified for post secondary studies that do require the study of theoretical calculus. Topics include algebra and number theory, measurement, relations and functions, trigonometry, permutations, combinations, and binomial theorem.
Prerequisite: MFMP-10
FOUNDATIONS OF MATHEMATICS 12(4 credits)(MFOM-12 Foundations of Math 11
PRE-CALCULUS 12(4 credits)(MPREC12)
This course is designed to provide students with the mathematical understandings and critical thinking skills identified for post secondary studies that do require the study of theoretical calculus. . Topics include algebra and number theory, measurement, relations and functions, trigonometry, permutations, combinations, and binomial theorem.
CALCULUS 12(Provincial Curriculum)(4 credits)(MCALC12)
This course will provide an introduction to the study of limits, derivatives, calculus applications, and integration.This course bridges the gap between high school mathematics courses and post-secondary mathematics courses.The Mathematics Department strongly recommends students planning to enroll in a first year calculus course at a college or at a university enroll in Calculus 12.Feedback from the universities and colleges indicates first year students with Calculus 12; perform better in first year Calculus.
Pre/co-requisite:Precalculus 12
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CAT in Mathematics
The CUNY Assessment Test in Mathematics (also known as the CAT in Mathematics, or the COMPASS Math test) is an untimed, multiple-choice, computer-based test designed to measure students' knowledge of a number of topics in mathematics. The test draws questions from four sections: numerical skills / pre-algebra,
algebra, college algebra, and trigonometry. Numerical skills / pre-algebra questions range from basic math concepts and skills (integers, fractions, and decimals) to the knowledge and skills that are required in an entry-level algebra course (absolute values, percentages, and exponents). The algebra items are questions from elementary and intermediate algebra (equations, polynomials, formula manipulations, and algebraic expressions). The college algebra section includes questions that measure skills required to perform operations with functions, exponents, matrices, and factorials. The trigonometry section addresses topics such as trigonometric functions and identities, right-triangle trigonometry, and graphs of trigonometric functions. No two tests are the same; questions are assigned randomly from the four sections, adapting to your test-taking experience.
Placement into CUNY's required basic math courses is based on results of the numerical skills/pre-algebra and algebra sections. The test covers progressively advanced topics with placement into more advanced mathematics or mathematics-related courses based on results of the last three sections of the test.
Students are permitted to use only the Microsoft Windows calculator while taking the test. CAT in Mathematics Practice Materials
Below are some sample tests and websites containing more samples and information about the CAT in Mathematics and related materials. Special software may be needed to view some of these files; check under our Software section to get them. | 677.169 | 1 |
A Beginner's Guide to Graph Theory list: $39.95 - our price: $39.95 by Birkhauser Boston Hardcover
(01 July, 2000)
(1 reviews) Customer Review: Affordable but not accurate: It's nice to have an affordable math book, and this one does give a good introduction to graph theory.
A Course in Combinatorics list: $50.00 - our price: $39.50 by Cambridge University Press Paperback
(15 December, 2001)
(3 reviews) Customer Review: A nice tour of combinatorics: The first word that comes to my mind when I think of this text is "encyclopedic". It contains around 40 chapters,
A Friendly Introduction to Graph Theory list: $100.00 - our price: $100.00 by Prentice Hall Hardcover
(14 November, 2002)
(1 reviews) Customer Review: It's a very good intro text.: Good choice of topics. Easy to read. The concepts are well motivated. The book is full of applications.
A Walk Through Combinatorics list: $42.00 - our price: $42.00 by World Scientific Publishing Company Paperback
(15 June, 2002)
(1 reviews) Customer Review: A Stroll Through the Old and New: Combinatorics often, but not always, involves finite sets, and the ideas of counting. But the subject of combinatorics has indeed become very large,
Algebra & Trigonometry: Graphs & Models list: $105.00 - our price: $105.00 by Addison Wesley Publishing Company Paperback
(01 November, 1996)
(2 reviews) Customer Review: Well Done Text: This text is perhaps the best I've used on Algebra and Trigonometry. After taking algebra in high school, obtaining this text for college helped me understand the concepts that I had missed.
Applied Combinatorics list: $106.95 - our price: $106.95 by Wiley Hardcover
(24 July, 2001)
(5 reviews) Customer Review: Excellent for applications: The book covers the fundamentals of graph theory and combinatorics (enumeration) and is designed for first courses for undergraduatesCocoon Developer's Handbook list: $49.99 - our price: $33.99 Paperback
(10 December, 2002)
(7 reviews) Customer Review: A useful introduction to Cocoon: I'm using Cocoon, and i was looking for a good book to help me in developing XML based web sites.I
Cocoon: Building XML Applications list: $39.99 - our price: $26.39 Paperback
(24 July, 2002)
(11 reviews) Customer Review: I will feel better if it cuts to half pages: ~There is introduction on Internet and XML up to page 48. Who needs an introduction of Internet and XML if he is trying to work on Cocoon?
College Algebra Enhanced with Graphing Utilities (3rd Edition) list: $103.00 - our price: $103.00 by Prentice Hall Hardcover
(01 March, 2002)
(1 reviews) Customer Review: This was a competent book with one small problem.: College Algebra is quite authorative on the subject matter covered and helps the student grasp the key points as well as some of the finer points of Algebra.
College Algebra with Graphing Calulator list: $104.00 by Addison Wesley Publishing Company Hardcover
(28 October, 1996)
(1 reviews) Customer Review: Clear and easy to follow.: I read this book as a refresher of the high school algebra I'd forgotten (or slept through). This book flows well from one topic to the next.
College Algebra: Graphs and Models list: $100.00 by Addison-Wesley Hardcover
(01 July, 1999)
(1 reviews) Customer Review: Clear and easy to follow.: I read this book as a refresher of the high school algebra I'd forgotten (or slept through). This book flows well from one topic to the next.
Combinatorial Algorithms: Generation, Enumeration, and Search list: $74.95 - our price: $74.95 by CRC Press Paperback
(18 December, 1998)
(1 reviews) Customer Review: An engaging and useful text on an important topic.: Combinatorial algorithms are widely used in a diverse set of applications areas from engineering,
Combinatorial Algorithms: T.C. Hu and M.T. Shing list: $18.95 - our price: $12.89 by Dover Publications Paperback
(01 April, 2002)
(1 reviews) Customer Review: Bloody Awful book: It is not that the book is not full of information, it is. The material is just not presented well AT ALL. It is unbelievable how poor the writing is and it is packed full of disorganized pieces of information. | 677.169 | 1 |
A Level International Mathematics – LearnOnline
What is A Level Mathematics International LearnOnline?
A level Mathematics International is an online course for international students who wish to achieve the A level Mathematics qualification for entry into a British University.
Choosing to study with LearnOnline gives you a flexible approach to A Level Mathematics International. The course specification is divided into topics, each covering different key concepts of Mathematics.
The most important part of your online A level Mathematics International LearnOnline course (apart from you) is your dedicated tutor. Every LearnOnline tutor has extensive academic experience and have taught A level Mathematics International in the classroom as well as online. During your enrolment onto the course, you will be assigned your tutor who will support you for up to 36 months during your studies. You can contact your tutor via email or using the LearnOnline messaging system with any questions.
Your A level Mathematics International course contains a number of assignments which your course tutor will mark, grade and give you valuable feedback on throughout your study
I graduated with a Masters in Chemistry and worked for Pfizer as a synthetic organic chemist for 10 years following my degree. I left to go into teaching and hold full teacher status in the UK. For the last 5 years, I have run my own very successful private tuition business and combine this with working for Pembrokeshire College online. I love teaching and creating interest in my subject for my students.
Personal Interests:
I am a stay at home Mum and help out at my daughter's school. I play for the Salvation Army brass band in Canterbury, and like cooking and gardening. My husband and I are heavily involved in LARP.
HelenCoomer
Mathematics International A Level Tutor
Work Background:
I have been teaching since 2009 and prior to that spent 9 years working in scientific research, on applications ranging from aeroplanes to washing liquids.
It is your responsibility to find an exam centre who can host exams for this course before you sign up and we recommend you book your exams 6 months prior to the date of exams (exams are not included in the course fees). | 677.169 | 1 |
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This worksheet reviews the major concepts from Algebra 1 (these are essential concepts for Algebra 2).
Each student works with another student and they designate one person as partner A and one as partner B. They take turns: Partner A completes the problem as B watches and coaches if needed. Then, Partner B completes that next problem as Partner A watches and coaches.
When the students are done with the worksheet, I have them cut the paper vertically down the middle and they each get to keep their portion of the worksheet (or you can have them turn it in for a grade). | 677.169 | 1 |
Foundations of Mathematics (2017), UCSCIMAT14
Teacher: F.Beukers, teaching assisant: Wesley Strik
This course introduces the students to academic mathematics.
The big difference with high-school mathematics is its emphasis on proof. The student learns about logic and various forms of proof,
such as the direct method, proof by contradiction and proof by complete induction. These concepts will be applied to various fields of
mathematics, such as set-theory and number theory. Along the way, the student becomes acquainted with the language and notations of mathematics.
The course highlights the main attraction mathematics has for its practitioners: the joy of solving a puzzle.
Every proof contains a sparkle of ingenuity, and there is great intellectual satisfaction in discovering the essential
step in a proof, or admiring the brilliance of someone who found it before you. A typical problem is for instance the
question whether the square root of 2 is a fraction. The answer came as a great shock to the ancient Greeks and it's
proof is both simple and very clever.
Another feature of the course is the introduction to the mysteries and paradoxes of the concept 'infinity'.
Are there more real numbers than integers (yes) Is the set of fractions larger than the set of integers (no).
Finally, there is a big emphasis on writing proofs. A proof should be logical, clear and do precisely what it should:
convince a reader of the truth of some mathematical statement. Writing good proofs is a difficult art, which
requires practice and the highest intellectual precision.
Aim: After completing this course students are able to:
demonstrate the various forms of mathematical proof
use mathematical notation
read and write a mathematical proof
explain some fundamental notions and theorems of mathematics
The classes will be a mix of lecture sessions and exercise sessions.
Exercises form the most important part of the course, as the course is focused on students making their
own mathematical discoveries and writing them down correctly. Students are required to regularly hand in exercises,
which will be graded.
As our guide we use the book by
G.Chartrand, A.D.Polimeni, P.Zhang,
Mathematical Proofs, A transition to advanced mathematics.
Pearson, third edition 2013.
Classes take place on Wednesdays 13:45 - 15:30 and Fridays 11:00-12:45 in Newton D
and they will be in the form of a combined lecture and exercise class.
Homework
is assigned weekly and must be made and handed in by each student individually.
Homework will always be graded; these grades will determine
20 percent of the overall grade for the course. Exams: There is a midterm and final exam, each counts towards 40 percent of the
overall grade.
Material covered so far:
Wednesday 30/8
We will plunge right in ands introduce the axioms for the integers and deduce some consequences,
see the handout Axioms of the integers.
Gradually we introduce the necessary set theoretic notations.
Exercises: Exercise 1.1(4) and 1.1(8) of the handout
For all integers a,b we have (-a)b = -(ab) and (-a)(-b) = ab. The latter is the
famous rule 'minus times minus is plus'.
Show with the help of Venn diagrams that for any two sets A, B we have A∩bar(B) = A - B.
Show with the help of Venn diagrams that for any three sets A, B, C, we have
(A∪B)∩C = (A∩C)∪(B∩C).
Show with the help of Venn diagrams, or otherwise, that for any three sets A, B, C, we have
((A∪B) - (C∪(A∩B)))∪(A∩B∩C) = (A - (B∪C))∪(B - ((A∪C) - (A∩C))).
(Optional challenge, not graded) Show with Venn diagrams, or with the rules about intersections and
unions, that for any four sets A, B, C, D we have
(A∩C) - (B∪D) ⊆ ((A∪D)∩(C∪B)) - ((C∩D)∪(A∩B))
but that this inclusion is typically not an equality.
Wednesday 6/9
We continue notions of sets with power sets (end of Ch 1.2) and Cartesian products (Ch 1.6).
Exercises: 1.14, 1.15, 1.16, 1.19 1.57, 1.64, 1.65, 1.66.
Additional exercises: 1.68, 1.72, 1.73, 1.78.
We also continue with our story on the integers using handout
Axioms of the integers. NB: this is an expanded version of the handout
given last week
This problem is on arithmetic with subsets of a large set U (a 'universal set').
In class we saw that if we regard the union of sets as addition, and intersection as multiplication,
these two operations satisfy the integer axioms A1 to A6, except for A5.
The symmetric difference between two sets A,B is defined as (A∪B) - (A∩B).
It turns out that if we take the symmetric difference as addition (denoted by +) and the
intersection as multiplication (A∩B is denoted by AB), all axioms A1 to A6
are satisfied by the two operations. Show that this is true, in particular which
sets play the role of 1 and 0?
(Associativity of the addition is a bit tricky. Hint: draw a Venn diagram
of (A+B)+C ).
The next two problems are logical puzzles. Try to be systematic in your approaches
to these problems. Your first solution may be a long one, but there are usually shortcuts. Please
try to find solutions that are as short as possible.
Car thief.
A thief steals a car which turns out to belong to the chief of police. Four suspects are
captured and interrogated by the chief himself, with the aid of a lie detector. The
suspects A,B,C,D make the following statements:
A:
I was in the same high school class as C
B has no driver's license
The thief did not know it was the police chief's car
B:
C is guilty
A is innocent
I never sat behind the wheel of a car
C:
I never met A before today
B is innocent
D is guilty
D:
C is innocent
I am innocent
A is guilty
The chief becomes desperate and even the lie detector was no use, it only
showed that exactly 4 of the above 12 statements were true. Given that
one of the suspects is the thief, who is it?
Jolly liar.
Denis is a strange liar, six days of the week he tells only lies, except the
seventh day when he always speaks the truth. On three consecutive days Denis makes
the following statements:
Friday 15/9
We continue with some sample proofs from number theory using the expanded handout
Number Theory. Please read Chapter 3 of the book for an introduction into
proofs, study the examples closely.
Exercises: 3.1, 3.3, 3.5, 3.6, 3.9, 3.11, 3.12, 3.20, 3.21, 3.55, 3.60. Home Work (hand-in 22/9):
This time we do some number theory problems. See the above mentioned handout Section 4 for background
(version corrected Friday 15/9 at 3:30 PM).
Determine the greatest common divisor d of 12075 and 4655. Determine integers
x and y such that d = 12075 x + 4655 y.
Are the x,y you have found the only solutions?
Do Exercise 3.2 from the handout, read the two lines above the Exercise as well.
You can assume that every larger than 1 can be written as a product of prime numbers
(Theorem 3.1).
Wednesday 20/9
Class cancelled
Friday 22/9
After reading Chapter 3 continue with 4.1, 4.2, 4.4, 4.5 of the chapter 'More on direct proof and proof by contrapositive'.
Section 4.2 is about congruences. You find some more detailed information in sections 7,8 of the handout
Number Theory
Exercises: 3.55, 3.60, 3.66, 4.1, 4.4, 4.9, 4.14, 4.16, 4.18, 4.21,
Show that the square of any odd integer is 1 modulo 8. Home Work (hand-in 29/9):
To be announced | 677.169 | 1 |
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Here's a power point lecture on application of linear equation.
- translating phrases to algebraic expression
- 17 word problems - money, age, number, and motion.
- fully explained and with animation.
- even as young as 6th graders will enjoy this!
17 word problems which connects math to real life situation problems. I made this power point easy to understand and provides step by step solution thru the answer. | 677.169 | 1 |
Maths Problems Classes - Demonstrator Guidelines
are co-ordinated by the module instructors, normally assisted by a PDRA.
Problem sheets will be distributed a week in advance of the class and at that
time markers will get a set of solutions and a mark scheme. Please contact the
appropriate module leader if you have any
queries about the solutions or scheme.
Students have to hand solutions in before the problems class.
The names of those submitting work will be recorded, the
scripts divided and circulated without delay to markers who must
return the marked scripts at least one hour before the class starts. [Markers will
be advised of the precise deadlines which vary from year to year depending on the timetable.]
Students are encouraged to work together as part of the learning process and
what you get may be a "collective" solution. It is made clear to the students that we want
their version of the solutions, so please bring an evidence of identical
solutions to the attention of the class co-ordinator.
We have attempted to indicate on the model solution the steps and stages that
gain marks. Of course, students will not always solve the problem in an
identical way and if so try to follow the spirit of the scheme avoiding simply
awarding zero or maximum for serious attempts to the questions. If you are in
doubt discuss it with the appropriate module leader. Remember that students may
cross-compare marks, and query apparent inconsistencies. Indicate on the script
the point at which the solution went astray and follow it up in the class.
During the class help the students to understand where they went wrong and to
appreciate what they needed to do to make progress. Try to be as clear as
possible and as helpful as possible but also avoid getting committed to one or
two people for the whole of the class - suggest ways in which they make progress
themselves while you move on returning later to check up complete sets of
solutions are placed in the School Library.
Once the feedback from the problem paper has been completed then students are
expected to work on the new topic which they started in the preceeding lecture. Be
proactive and if they say they have no problems ask them what they are doing and
get them to explain to you what they comprehend. If they are stuck establish
where they are held up and make a suggestion of how they might best progress -
don't simply solve the problem for them completely.
If you find a student you feel is struggling and having difficulty coping let
class co-ordinator have their name. | 677.169 | 1 |
Spanish Language Astronomy Materials Education Center
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Advanced (College/University)
Books
Title:Advanced Linear Algebra
Author: José Antonio de la Peña
Publisher: UNAM y Fondo de Cultura Económica
Year: 1996
ISBN: 968-16-5040-9
Suggested reader's academic level: College
This 195-page book "is directed at students of science or engineering that have taken their first elementary course of linear algebra. It can be used as a text book for a semester course that emphasizes the applications of calculus".
This 657-page book "presents a totally student-oriented focus. Because of this and in order to facilitate the comprehension of this material... it presents more than 270 examples solved step by step and more than 4000 carefully selected problems".
This 657-page book is divided into twelve chapters in which the authors try to carry the student by the hand so that he or she can learn and understand: logic and sets of numbers, fundamental concepts of algebra, equations and inequalities...
This 69-page book covers concepts that "for the student of biology these are of great importance, since it opens the panorama of the relationships among biology and climatology, particularly the role of climatology in the relations of organisms with their environment and their consequences".
This 386-page book was written as an introduction to differential and integral calculus. The book presents the most important theorems and the least complicated demonstrations of them, so that it will be easier for students to learn. The book is divided into 23 chapters...
This 323-page book was written "especially as a didactic aid for the students of all areas of engineering, putting special emphasis on solving problems of integral and vector calculus of several variables."
This 111-page book has as the objective "to illustrate and explain in a detailed way, the evolution of the most representative physical concepts and to illustrate them in mathematical terms using differential equations.
This book has a CD-Rom that "covers the fundamental concepts of physics through simulations, animations and videos". The explanations and demonstrations are clear so the solution of problems becomes very easy.
This book has a CD-Rom that "covers the fundamental concepts of physics through simulations, animations and videos". The explanations and demonstrations are clear so the solution of problems becomes very easy.
This 943-page book "was written for a physics course without calculus designed for students in technical or industrial careers or for those that desire a very clear introduction of the applications of the principles of this discipline.
This 570-page book was written for a physics course that does not require calculus, but does require basic algebra, principles of trigonometry and a very small amount of vector analysis. There is a review of mathematics in the appendices, nevertheless "the concepts are developed in the corresponding theme".
In this book of 276 pages, "each chapter establishes in a concise and clear form the definitions, principles and theorems, problems so much proposed as resolved are exposed in ordered form from smaller to greater difficulty degree, and comply the function of reviewing the exposed theory in each chapter".
This 1045-page book has 35 chapters and contains black and white illustrations that complement the text, tables of group characteristics, thermodynamic chemical properties, answers to problems and an index.
This 330-page book gathers the work done during the courses given by the Institute of Astronomy of the National Autonomous University of Mexico (UNAM) in the First Mexican School of Astrophysics, in which students and researchers from Argentina, Brazil, Chile, Colombia, Mexico, Puerto Rico, Spain, United States, and Venezuela participated.
This 803-page book has 21 chapters that contain black and white illustrations that complement the text. In the "pages, the student can learn, without great effort, the main laws and methods of physical chemistry and appreciate the most recent advances in this field."
This book is designed for a first semester geology course at the university level. This second edition is easier to read because the text is written with a clear informal style. The students are introduced to geology, the system of the Earth, the tectonic plates, the Earth's interior, the processes of terrain surface and to geological time.
This 539-page book explains normalization, its organization, the national system of normalization, techniques and tendencies, normalization and the economy, basic metrological concepts, international system of units, measurements, and methods of measurement.
This book contains what is necessary for readers to orient themselves when observing the sky. Containing many diagrams, maps, and charts, this book is an excellent guide for the amateur astronomer. It explains how to obtain the best observations through a telescope. A background in astronomy is required in order to understand some of the material in this book.
This 574-page book "binds the achievements of sciences such as physics with methods of mathematics, and makes the reader see the subtle relations of the science of numbers with the economy, politics, sociology, philosophy, and art".This 467-page book is part of a new collection of books that was created by the National Polytechnic Institute. This collection has the purpose of producing less expensive textbooks that support the teaching and learning process.
Optics is one of the many growing branches in physics with a very promising future. This book is designed for a college student in an introductory optics course. The main purpose of this book is to teach students in science, in general, and optics majors specifically how to understand many of the concepts and uses of optics.
This third edition serves as an introduction to the advances in optics technology and their importance in our society. There are 708 pages and 13 chapters with easy to follow diagrams and some technical language. This book is helpful to students in a college introductory course in optics.
This book "discusses in detail the solution to each one of the problems suggested to the reader... it is aimed at college students that desire to acquire a solid knowledge of the principles of quantum mechanics..."
This 410-page book contains "260 problems on solubility and solutions, solved by different procedures". This book that can serve as a great aid for those students who desire to acquire practice in the solution of problems.
In 623 pages and five chapters with black and white images the student will learn the importance of the properties of water, aqueous solutions, characterization of acids and bases, velocity of chemical reactions...
This 215-page book, "directed at a first course of general college-level chemistry, presents its fundamental bases, from the analysis of the atomic structure, the atomic nucleus, Bohr's model, and descriptive chemistry to chemical bonds".
This 512-page book has 15 chapters and gives the students the opportunity to simply acquire the knowledge necessary to understand many of the themes in chemistry. This book contains a table of elements, answers to the exercises, a glossary and many black and white illustrations that complement the text.
Title:Springs of Scientific Creativity. Essays About the Founders of Modern Science
Authors: Ruther Aris, H. Ted Davis y Roger H. Stuewer
Translator: Juan Almela
Publisher: Fondo de Cultura Económica
Year: 1995
ISBN Number: 968-16-3283-4
Suggested reader's academic level: College
"Through twelve biographical essays, recompiled from a series of conferences on the theme, this book offers a panorama that goes from Galileo, Newton, J.P. Joule and Maxwell to J.W. Gibbs, Rayleigh and Sperry...
This 201-page book talks about the effects of changes in the biosphere of our planet, "the uniqueness of the Earth, [and] its value as a true miracle. The authors alert us to the need of preserving it".
This dictionary is divided into three large sections: exact sciences, chemical and physical sciences, and natural sciences. This it is an excellent tool for the professional that desires to have an exact definition to a series of terms about the areas before mentioned. | 677.169 | 1 |
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Master Class
Are you taking Dr. Roche's Abstract Linear Algebra, Dr. Walschap's Introduction to Analysis, Dr. Kujawa's Introduction to Abstract Algebra, or Drs. Miller or Rafi's Discrete Mathematical Structures? Or maybe you just have trouble keeping track of the stuff you are already "supposed to know"?
Like that "for all x there exists y such that …" means something completely different than "there exists y such that for all x …"
Can mathematics be taught?
Let me pause right there and try to explain in more detail what I mean. The usual way of presenting pure mathematics (which is all I'll be talking about in these posts) is this: you have some definitions and some results; you write out the definitions, you state and prove the results, and perhaps you set some exercises that test understanding of the definitions and results. End of story. Well, perhaps it's not quite the end of the story: if you're being conscientious then you usually follow each definition by a list of two or three key examples.
OK, what's missing from that? Well, for a start it is very common for lecturers and authors of textbooks to take for granted that their topic is an interesting and important one. This isn't completely unreasonable, as usually the topic is interesting and important. But if you're trying to learn about it, it can be a huge help to have a clear idea why you are making this very significant effort. ("To do well in exams" is not the answer I'm looking for here.)
But perhaps the biggest thing that's missing, and the thing I most want to get across, is how to go about proving results for yourself. There are plenty of books about how to solve competition-style maths problems, but what about proving the more bread-and-butter-ish results that you are shown in a typical maths course?
Before I discuss that further, let me explain why it matters. You might think it doesn't, since if a lecturer explains how to prove a result in a course, or an author in a textbook, then you don't have to work out the proof for yourself. But, and this is a huge but, if you are studying for a maths degree, then
(i) you do have to remember lots of proofs;
(ii) memorizing things requires significant effort;
(iii) if you can easily work out proofs instead, then you place a far smaller burden on your memory.
So it turns out that being able to work out how to prove things (perhaps with the help of one or two small hints) is hugely important, even if those proofs are there in your lecture notes already. Of course, it also goes without saying that being good at proving things will help you solve problems on examples sheets.
Now I think a very common attitude to this is that doing mathematics (that is, thinking of proofs) is something that you can't really be taught directly: instead, you read your notes and do lots of carefully designed questions and find that proving results is a skill that you develop with practice, especially if you were born with a mysterious quality called mathematical ability. And undoubtedly there is some truth in the previous sentence — the method described is the method by which pretty well all mathematicians working today have learnt how to do maths. But there is a significant downside to this method, which is that there are also many people for whom it does not work. They go to university full of enthusiasm for mathematics and find that the subject at university level is much harder than they expected, and that they don't know how to go about developing the skills that I've just been talking about. Gradually as the course proceeds, they fall further and further behind, while some of their contemporaries seem not to. It can be pretty demoralizing and also, given how hard it is to get into Cambridge, a real waste of talent. (I don't think it is a total waste, by the way, since many people, myself included, have had the experience of understanding some mathematics much better a year or two later than they did when they were supposed to be learning it. I think that even people who get left behind by the sheer pace of the Cambridge mathematics course leave Cambridge having had their minds altered in a way that is very valuable in their working lives. I'd be very interested to hear from anyone in that position, to see whether I'm right about this.)
Another serious drawback with the attitude described above is that it underestimates the extent to which mathematical ability is something you acquire through hard work. It's true that some people seem to find the subject easier than others. But nearly always you will find that these mysteriously clever people have spent a lot of time thinking about mathematics. In many cases, their ability is no more mysterious than the ability of a very good pianist who has practised for three hours a day for many years.
— From Dr. Gowers' blog
Fortunately, you don't have to be at Cambridge to learn from Dr. Gowers. He's posting everything on his blog.
At the moment he is discussing the various pieces of logic that mathematicians use every single day almost without thinking about it. It's a bit like if you wanted to teach someone to play baseball, then they first have to be able to stand, walk, throw a ball, etc. without even thinking about it. Otherwise all their mental energy goes into the things which aren't even the main point!
P.S. By the way, in the UK you start in on your major right away and don't have a load of general education requirements, so they are quickly doing what is sophomore/junior math here at OU. A little more precisely, the audience in his mind is the students taking the Cambridge Mathematical Tripos, which is the three year sequence of courses leading to an undergrad degree in math at Cambridge. | 677.169 | 1 |
Linear programming is a fundamental tool in both optimization and algorithm design. Our goal in this course is to familiarize ourselves with various aspects of linear optimization, so that we are comfortable with its use in our research. The course intends to cover both the innards of linear programming, such as the simplex algorithm, as well as its use, often as a black box, in designing both exact and approximately optimal algorithms.
The course will proceed in two parts. In the first part, we will look at linear programming itself in some depth, including combinatorial problems for which linear programming offers exact algorithms. In the second part, we will look at approximation algorithms that are based on duality or rounding fractional LP solutions.
Topics that I plan to cover include:
Part I: linear programming and its geometry; the simplex method, including techniques to handle degeneracy; interior-point methods; the ellipsoid method; duality and it's use in designing algorithms; network problems; integrality of optimal solutions.
A good background in linear algebra as well as basic knowledge of computational complexity will be required.
Details
Classes will be held Wed/Fri 2-3:30pm in A-212.
Classes begin on January 20th 27th.
Evaluation will be on the basis of assigments (50%), a mid-term (25%), and a final exam (25%).
Reference material
We will mostly follow the book Introduction to Linear Optimization by Bertsimas and Tsitsiklis for the first part of the course, and Approximation Algorithms by Vijay Vazirani for the second part. Other good reference materials are
Theory of Linear and Integer Progamming by Schrijver
Understanding and Using Linear Programming by Matousek and Gartner
Combinatorial Optimization: Algorithms and Complexity by Papadimitriou and Steiglitz
The Design of Approximation Algorithms by Williamson and Shmoys
Geometric Algorithms and Combinatorial Optimization by Grotschel, Lovasz, and Schrijver.
For background in linear algebra, a good book is Introduction to Linear Alebra by Gilbert Strang.
I recommend taking notes in class, as our treatment will often differ from that in books, and I may cover topics out of order. I will post an outline of topics covered in each lecture below, including source material.
Lectures
Jan 27
Two examples of LPs, with two variables and three variables, with graphical solutions. An LP in general form with notation. An LP in standard form, and converting from an LP in general form to an LP in standard form. An example of such a conversion. Matrix notation.
Generating basic feasible solutions: redefining basic solutions for polyhedra in standard form. Assuming matrix A has rank m can be done without loss of generality. A basic algorithm for generating all basic solutions: for each choice of m columns of the matrix A, check if the columns are linearly independent, and if so, set other variables to zero and solve the resulting linear equalities in m variables. Definition of basis, basic variables, basic columns. Adjacency of basic solutions and indices, and equivalence of the two.
References: Section 2.3 from BT book.
Feb 5
Extreme points in polyhedra: P does not contain a line iff P has an extreme point. If P is nonempty and has extreme point, then either the optimal value (for minimization) is negative infinity, or is obtained at an extreme point. A basic outline of the Simplex algorithm: find a starting bfs; find an adjacent bfs of lower cost and move there; repeat until all adjacent bfs have equal or higher cost. Degeneracy of basic feasible solutions. Definition of a feasible direction, and change in basic variables to maintain feasibility of equality constraints when a single non-basic variable is increased.
References: Sections 2.4, 2.5 2.6, and the first few parts of Section 3.1 from BT book.
Feb 10
An example of degeneracy, shown by considering a polyhedron with n variables and m equality constraints where n-m = 2, hence the inequality constraints could be shown in 2-dimensional space. Moving to an adjacent basis (as discussed towards the end of the previous class). Definition of reduced costs, and their importance: if all reduced costs are non-negative, the bfs is optimal (and vice versa, except for degeneracy). Effect of degeneracy in determining whether a direction is feasible or not. A more detailed outline of the Simplex algorithm. Proof that moving in the direction described will either give us another bfs of lower cost, or give us a ray along which all points are feasible and cost reduces indefinitely. Finally, proof that the simplex as described (assuming an initial bfs, and nondegeneracy) terminates in finite time, with either an optimal bfs, or a ray that demonstrates optimal cost is unbounded.
References: Sections 3.1 and 3.2 from BT book.
Feb 12
No lecture today.
Feb 17
Bland's pivoting rule, and proof that it avoids cycling at a degenerate basic feasible solution. The two-phase method for finding an initial basic feasible solution using artificial variables.
This completes a description of the basic simplex method.
References: The analysis of Bland's pivoting rule was taken from lecture notes by David Williamson (but also see Section 3.4 from BT book). The two-phase method is described in Section 3.5 from BT book.
Feb 19
The full tableaux method for simplex, and proof of correctness. Lexicographic pivoting rule and proof of correctness.
References: Sections 3.3 and 3.4 from BT book. We didn't explicitly cover the revised simplex method, but you can see that the proof of correctness for the full tableaux method requires the revised simplex method.
Feb 24
No lecture today.
Feb 26
The complexity of simplex (without proofs): examples with exponential number of pivots known for all deterministic pivoting rules. Subexponential bounds for randomized pivoting rules. Bounds on the diameter of polyhedra (linear lower bound, and subexponential upper bound). Smoothed complexity.
References: Section 3.7 for the complexity of simplex method. Sections 4.1, 4.2 and 4.3 for duality.
Mar 2
Farkas Lemma. Proof of strong duality using FL. Proof of FL (note that here the proof we covered in class is incomplete. We need to show that set P is closed and bounded for there to be a minima). Review of polyhedral geometry to show equivalence of representations of polyhedra.
References: Sections 4.6, 4.7, and the beginning of Section 4.8.
Mar 4
Statement of Projection Theorem, that projecting a polyhedron onto a lower dimension yields a polyhedron. Completion of proof to show that the set P is closed and bounded, from last lecture. Definition of recession cones, extreme rays for polyhedra. For a polyhedral cone, cost is unbounded iff there is an extreme ray with negative projection on the cost vector. Using this, a proof of one direction of the the resolution theorem, unifying multiple representations of polyhedra.
You should read the proof of the projection theorem, or derive it yourself. We did not cover the proof of the converse of the resolution theorem, or the proof of the statement about polyhedral cones above.
References: Section 2.8 for the projection theorem. Sections 4.8 and 4.9 for the remaining topics.
Mar 9
Ellipsoid method: affine transformations, ellipsoids, and how to do a single iteration.
References: Section 8.2 from BT.
Mar 11
Ellipsoid method: How to find a starting ellipsoid. Using perturbation to remove full-dimensionality assumption. Lower bound on volume for a full-dimensional polyhedron. The complete ellipsoid method for feasibility (assuming infinite precision arithmetic, integer values for input parameters, and matrix A has rank n).
References: Section 8.3 from BT.
Mar 18,20
No class.
Mar 23
Finding a feasible point, and optimization using the ellipsoid method. We discussed two methods. The first takes time polynomial in the number of constraints. It operates by finding a maximal set of constraints that are feasible when tight, and then using Gaussian elimination to solve these tight constraints. Then optimization can be done by combining the primal and dual into a single linear program. The second method relied on using the approximately-feasible point to obtain a rational point that was feasible, and then using binary search to find an optimal solution.
Not only does the ellipsoid method give us a polynomial time algorithm for linear programming, the running time is also independent of the number of constraints. Further, it reduces optimization to separation: given a separation oracle for a (full-dimensional) polyhedron, we can optimize over it.
References: The first method for finding a feasible point and optimization is from Theorem 10.4 in the book by Schrijver, and Section 8.4 from the BT book. The second method is from Lemma 6.2.9 and Theorem 5.3.19 from the GLS book. The discussion of interior point is from Section 9.4 of the BT book.
Mar 30
Completed discussing the primal path-following interior-point algorithm. In an iteration, given a primal and dual point in the interior for some \mu, we use the second-order Taylor-series expansion for the objective of the convex program P(\mu) around the given starting point to obtain feasible primal and dual variables for a smaller value of \mu. Thus, we follow the central-path approximately, and stop when \mu is small enough. We also saw how to obtain feasible primal and dual values in the interior.
For obtaining an initial solution, for the scaling step to ensure that each coordinate of each bfs is at most 1, I mistakenly said that we should scale the variables. Actually, the constant vector b needs to be scaled, to ensure this property.
References: Section 9.4 in the BT book. We skipped the proof of Theorem 9.7.
Apr 1
Inegrality of polytopes, and Total Unimodularity. We confined our discussion to polytopes, since these are of mos interest to us. Defined integral polytopes, and use in poly-time algorithms for determining solutions to Integral Linear Programs (ILPs). Defined unimodular and totally unimodular matrices, and proved that if A is TUM, b integral, then polytope Ax >= b is integral. Discussed properties of TUM matrices: transposing, negating, and concatenating identity matrices preserves TUM. Characterized TUM matrices in terms of dividing subset of columns into two sets, and used this to give a poly-time algorithm for max-weight matching in bipartite graphs.
References: The main reference is Chapter 19 from the Schrijver book, but the material selection is quite selective.
Apr 5
Characterizations of TU matrices. We proved a few different characterizations of TU matrices, including that used in the previous lecture.
References: The lecture basically covered the proof of Theorem 19.3 from the Schrijver book, but we skipped characterization (vi): if each entry of matrix A is +1, -1, or 0, A is TU iff the sum of entries in any square submatrix with even row and column sums is divisible by four.
Apr 6,8
No class.
Apr 13
TUM can be determined in polynomial time (without proof). TDI and use, example of matching in general graphs (Cunningham-Marsh theorem) without proof. Started approximation algorithms, did a 4 log n - approximate algorithm for set cover by randomized rounding.
References: The proof of polynomial determination for TU matrices can be found in Schrijver, Chapter 20. The discussion of TDI was from the lecture notes of Michel Goemans, available here. A good proof of Cunningham-Marsh is in Chandra Chekuri's notes here. The part on set cover was from Chapter 14 of Vazirani's book.
Apr 15
A 2-approximation algorithm for scheduling on unrelated parallel machines. We also discussed the integrality gap and it's use as a lower bound.
A polylog-competitive algorithm for online set cover, by multiplicative-weight updates and primal-dual analysis.
References: Chapter 4 of the book "The Design of Competitive Online Algorithms via a Primal-Dual Approach" by Buchbinder and Naor (this is available online). Note that of the three algorithms in the chapter, we only covered the first, as well as Section 4.4.1 for randomized rounding.
Apr 27
A 3-approximate algorithm for metric facility location, by a dual algorithm.
References: Chapter 24 of Vazirani's book. We did not cover Sections 24.4.1 and 24.4.2, but these are worth reading too.
Apr 29, May 2
A 3-approximate algorithm for generalized Steiner network, by iterative rounding.
References: Chapter 23 of Vazirani's book. We did a 3-approximate algorithm (for which there is a simpler counting argument), while the book gives a 2-approximation. The book also gives an example for which the algorithm is tight.
Assignment Policies
Each student gets 6 late days for assignments, which can be used in any combination, and for any reason (e.g., you could turn in assignment 2 two days late, assignment 3 one day late, and assignment 4 three days late. Or you could turn in assignment 1 six days late).
The first assignment that is late after exhausting these late days will be graded out of 50% of the total marks. Any further late assignments will not be graded at all. Any assignment turned in more than 6 days late will not be graded at all.
You may refer to any books or notes, but not to any online resources.
You may discuss the problems with others in the class, but you must write up the solution by yourself, in your own words.
Please write in your submission the people with whom you discussed the problems, as well as any references you used.
Please write clearly and legibly, and include how you arrived at the solution! | 677.169 | 1 |
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These Teaching and Learning Materials offer excellent support, note the support for Statistics and Mechanics. The Teaching Guide is very thorough indeed, as Edexcel say for their Statistics guide, and similarly for Mechanics:
"This booklet looks at statistics content of AS and A level Mathematics qualifications and is intended to offer explanations of the terminology that is being used in specifications, guidance on how to approach teaching of the content and help on where and how to use technology to support the delivery of the course. This document is designed to give teachers a starting point and does not include all possible approaches to topics discussed."
The Teaching and Learning Materials also include Mathematics and Further Mathematics baseline tests. …
Signing up to the wonderful Mathematics Emporium is highly recommended, note that it is a free website intended for the use of teachers of mathematics in secondary schools, regardless of what board you use. Register for an account and ensure you supply a correct centre e-mail address in your name for verification, your centre name and centre number. | 677.169 | 1 |
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In this formative assessments students will be able to demonstrate their knowledge of key characteristics of functions. Students will create a graph that involves multiple key characteristics, explain the vertical line test in their own words, and create a graph that is not a function and justify their creation. | 677.169 | 1 |
Numerical Methods for CAGD
Official Course Description
Description
The course presents the main ideas and concepts behind Computer Aided Geometric Design (CAGD). The basic methods in curve and surface design will be analysed, in particular the theory of Bézier curves and NURBS. The computational aspects will be developed using Matlab or alternatively Python/Scipy.
The course provides theoretical understanding of the theory behind computer graphics. There is computational work, but the course is not intended to provide solutions to application-oriented problems, nor is it a course on geometric modelling. Upon completion, the student will have the basic knowledge and tools of CAGD.
More information may be found on the course homepage at the department of
Numerical Analysis | 677.169 | 1 |
Linear Equations, Functions & Graphs (Alg 2 Notes & Assessments)
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This product contains a guided note packet, one quiz, and one summative test for the second unit in an Algebra 2 course. Answer keys are provided. Topics covered include:
• Functions, domain and range
• Writing and evaluating functions
• Slope, Slope Intercept, Point Slope and Standard Form of Linear Equations
• Word problems
• Equations of Parallel and Perpendicular lines
• Two variable inequalities
• The Absolute Value Function
There are seven daily lessons, although some lessons could be split in two depending on the pace of your class. The appropriate Common Core Standard as well as "I Can" statements are listed at the top of every lesson. Each lesson was written based on a 40-minute class period, but again, that could change based on the skill level of your class. I teach at a career and technical school which brings in students from 16 surrounding districts. The skill level of my Algebra 2's is different every year. This content is written for the average Algebra 2 student.
I screenshot the notes into blank slides for my mimio program, or SmartBoard and teach from those. I have worked very hard to ensure that this product is error free. If you find any discrepancy or error, please email me! I will make it right. I hope this product is as helpful to you as it is to me! | 677.169 | 1 |
mathematics for engineers: engineering education in the computer age. Report./Organisation for Economic Co-operation and Development.;; [Paris] Organisation for Economic Co-operation and Development [1964] | 677.169 | 1 |
ISBN-10: 0071795537
ISBN-13: 9780071795531 ideal review for your calculus courseMore than 40 million students have trusted Schaum's Outlines for their expert knowledge and helpful solved problems. Written by renowned experts in this field,Schaum's Outline of Calculuscovers what you need to know for your course and, more important, your exams. Step-by-step, the authors walk you through coming up with solutions to exercises in this topic.Outline format supplies a concise guide to the standard college course in calculus1,103 problems solved step-by-stepClear, concise explanations of all calculus conceptsAppropriate for the following courses: Calculus I, Calculus II, Calculus III, AP Calculus, PrecalculusSupports all the major calculus textbooks
Judith Roden has over 30 years experience of teaching science at all levels and is currently a principal lecturer and cross-phase science team leader at Canterbury Christ Church University. She has had several articles published and is co author of 'Teaching Science in the Primary Classroom: a practical guide' (Paul Chapman, 2005).McGraw-Hill authors represent the leading experts in their fields and are dedicated to improving the lives, careers, and interests of readers worldwide | 677.169 | 1 |
Graphing Functions Unit Bundle
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This is Unit Bundle for the Algebra 1 Common Core Unit: Graphing Functions. This Unit Bundle consists of 13 Days of Lessons with Smartnotebook Files, PDFs & Worksheets, Homework Assignments, 1 Quiz, a two-day Review Stations Activity & a Unit Test. All teacher answer keys are provided. The suggested outline for this unit as well as sample pages from the unit can be seen in the Preview.
To view the individual lessons that are included in this Unit Bundle, please click each link below! If purchased individually, the items in this Unit Bundle would total $38.00. Purchasing this Unit Bundle saves you 50%! | 677.169 | 1 |
Math 293; About homework 6: 10/6/96
A few people asked about what to hand in, so let me clarify.
A) (*) means you should learn it, but don't spend time doing polished
work to hand in. In other words, you get no direct credit for handing in
any of these problems. Of course, we imagine you get indirect credit
(in knowledge, for other homework problems, in exams, in other courses,
in sense of self confidence, etc ) by gaining competance at them, but
we do not want you to spend time on the written communication aspects
of work that you want others to be able to read and understand.
B) (1), (2), or (3) means you should write up in a nice clear way,
following the homework guidelines (which you can review on the WWW page).
C) Problem (3) makes reference to problem (4) (or (2) depending on
which version you read). This is really a reference to the
previous (*) problem.
Sorry for the confusion.
-Andy Ruina, ruina@cornell.edu, office hrs thursdays 1-5 (TH 101, next to Coke)
Math 293 on the net: | 677.169 | 1 |
books.google.com - Engineering... Mathematics
Engineering Mathematics
Engineering student's own pace. Theory is kept to a minimum, placing a firm emphasis on problem-solving skills, and making this a thoroughly practical introduction to the core mathematics needed for engineering studies and practice.
Throughout the book assessment papers are provided that are ideal for use as tests or homework. These are the only problems where answers are not provided in the book. Full worked solutions are available to lecturers only as a free download from the Newnes website: | 677.169 | 1 |
TOP Downloads college math program: 03/11/2015 02:02:48 Welcome. SpringBoard is the College Board's print and online program for all students in grades 6–12. It provides a customizable pathway integrating rigorous ...CPM Educational Program strives to make middle school and high school mathematics accessible to all students. It does so by collaborating with classroom teachers to ...The University of Idaho's College of Engineering produces engineers whose work invigorates the state economy and advances our understanding of the world.Home page for liberal arts college in Norton, Massachusetts.This page describes the errors that I have seen most frequently in undergraduate mathematics, the likely causes of those errors, and their remedies.YES, YOU ARE BRILLIANT. Our exceptional faculty offer strong academic programs in the arts, humanities, social sciences, mathematics and sciences.The Math Forum is the comprehensive resource for math education on the Internet. Some features include a K-12 math expert help service, an extensive database of math ...Northern Michigan University, located in Marquette, Michigan, is a dynamic four-year, public, comprehensive university that has grown its reputation based on its ...Personnel, news, research, graduate and undergraduate programs, courses and outreach efforts.Mississippi College, affiliated with the Mississippi Baptist Convention, is a private, co-educational, Christian university of liberal arts and sciences. college math program | 677.169 | 1 |
Mathematics II
Description:
This 185-page book will teach students about linear equations, linear equations with one unknown variable, linear systems of equations with two or three unknown variables, set of the complex numbers, second degree quadratic equations, systems of quadratic equations, ratios and proportions, progressions, logarithms, inequalities and second degree inequalities. | 677.169 | 1 |
Chapter 4 Trigonometric Functions
4.1Radian and Degree Measure
1. Label every point on the unit circle with a radian and a degree measure. Use the fact that 2 = 360 . Each
radian measure should also be given as a decimal to the nearest hundredth.
2. Graph
Chapter 8 Notes
8.1 Introduction to Sequences and Series
A sequence is a set of numbers, for example: 2, 4, 6, 8, 10,.
A series is adding the terms of a sequence, for example: 2 + 4 + 6 + 8 + 10 +
1. Find the first, the second, and the 10th term for the s
1
Chapter 3 Exponential and Logarithmic Functions
3.1 Exponential Functions and Their Graphs
1. Graph the following functions. In each case find the equation of any asymptotes and the y intercept. Use
infinite limits to find the horizontal asymptotes. Use
MATH Honors Pre Advice
Showing 1 to 1 of 1
Honors precalculus was the most challenging math course I have ever taken, because I was exposed to many new concepts and symbols that I had never heard of, and because the tests were extremely difficult but had the most impact on my grade. However, by taking the class, I gained better time management skills, a stronger work ethic, and a much larger appreciation for math.
Course highlights:
Honors precalculus involved almost-daily homework, a number of sometimes impossibly difficult tests, five-minute and five-question quizzes, and one optional individual project that students did if they wanted a chance at a letter of recommendation from the teacher. I had all of these tasks to handle in addition to five other challenging courses, so I learned to manage time wisely by always trying to finish homework quickly and minimize sidetracking. Another place where time management was essential was the optional project. I was given four months to build a model, make a backdrop, and do calculations applying precalculus concepts, so in order to avoid last-minute cramming, I had to work on the project every day. This experience gave me an entirely new appreciation for time management, since I had been so used to procrastinating but doing decently well. In addition to time management, the class gave me a stronger work ethic, because it forced me to work extremely hard to master the content and score well on tests (usually). I found myself studying for several hours nonstop the day before a test, something I never did before taking this class. Accompanying this work ethic, I found myself setting ambitious goals in the class, something I could have never imagined myself doing because I had disliked math so strongly in the past. Thus, taking honors precalculus changed my view on math and strengthened my time management and work ethic, turning me into a more determined and efficient person, and I would recommend the class for those who seek a real challenge.
Hours per week:
12+ hours
Advice for students:
Always keep on top of the material. If you do not understand something, make sure to ask, because all of the concepts and tests are cumulative. If you have even one hole in your foundation, then you will not be able to understand future concepts, and you will not score well on tests. Also, before tests, make sure you go over all of the material again. I would recommend going over the material, redoing homework problems, and even looking over old tests, since doing all of this helped me get good grades on tests. Even if you think you know everything well, you should still go over the material, because you do not get much time during tests, so it is critical that you can answer each question quickly, and that requires being very familiar with the subject. | 677.169 | 1 |
MTH401 - Calculus 2
Learning Recommendations: C+ or higher average in Calculus or a C or higher average in IB Mathematics 2.
General Description: This one-year course further develops the topics of derivatives, integration, polynomial approximations and series, conics, coordinate systems, vectors, and their formulas for algebraic and transcendental functions. This class covers all topics typically covered during the second semester of college calculus.
Content:
I. Functions, Graphs, and Limits
1. Analysis of graphs
2. Limits of functions
3. Parametric, polar, and vector functions
II. Derivatives
1. Concept of the derivative
2. Derivative at a point
3. Derivative as a function
4. Second derivatives
5. Applications of derivatives
6. Computation of derivatives
III. Integrals
1. Interpretations and properties of definite integrals
2. Applications of integrals
3. Fundamental Theorem of Calculus
4. Techniques of anti-differentiation
5. Numerical approximations to definite integrals
IV. Polynomial Approximations and Series
1. Concept of Power Series
2. Taylor and Maclaurin Series
3. Convergence of Series
Strategies: Students will learn through a combination of:
Teacher directed instruction
Small group investigations
Teacher-led investigations
Equipment to be provided by student: Graphing Calculator. TI-Nspire (Not CAS) is recommended. | 677.169 | 1 |
MATH 141 Exam 4 Solutions
April 27, 2007
MATH 141 TEST 4
(9.1 9.9)
[Pilachowski]
Follow directions carefully:
Use exactly ONE answer sheet per question (use the back of the sheet if needed). Put your name, your TA's name and the question number on EACH page. No books, notebooks,
MATH 141 Practice Exam 1 2 3Calculus 141, Final Exam review questions
prepared by Tim Pilachowski
review session Saturday 11 December 2004, 10 am to noon, Armory 0126
The following are questions culled from previous final exams, previous tests, and the text. I hope its
representativ
MIDTERM 1 MATH 141 FALL 2009 BOYLE
Use exactly ONE answer sheet per question (use the back of the sheet if needed).
Put your name, your TAs name and the question number on EACH page.
Put a BOX around the nal answer to a question.
No books. No notes. N
MATH 141, FALL 2011, MIDTERM 1
Instructions: Answer each question on a separate answer sheet, labeled with the
problem number. Do not put the answers to two dierent problems on the same
answer sheet. If you need extra room, continue on the back. Show all
MATH 141, FALL 2011, MIDTERM 3
Instructions: Answer each question on a separate answer sheet, labeled with the
problem number, and with your name and section number. Do not put the answers
to two dierent problems on the same answer sheet. If you need extr
MATH 141, FALL 2011, MIDTERM 4
Instructions: Answer each question on a separate answer sheet, labeled with the
problem number, and with your name and section number. Do not put the answers
to two dierent problems on the same answer sheet. If you need extr | 677.169 | 1 |
Math is a special and important learning in education. Even though Math is hard to some people, it is not hard to learn if you follow a good guide. This book is a good guide that will help high/middle school students learn basic and advanced skills with important concepts and skills carefully designed into questions and solution for students to master. This book will escort you to your success | 677.169 | 1 |
Showing 1 to 12 of 12
Arkansas Tech University
MATH 1203: Trigonometry
Dr. Marcel B. Finan
17
Simple Harmonic Motion
In this section, we use our knowledge of trigonometric functions to describe
motion that repeats itself periodically, such as the up-and-down motion of
a mass a
Arkansas Tech University
MATH 1203: Trigonometry
Dr. Marcel B. Finan
21
Conversion Identities
In this section, you will learn (1) how to restate a product of two trigonometric functions as a sum, (2) how to restate a sum of two trigonometric
functions as
Arkansas Tech University
MATH 1203: Trigonometry
Dr. Marcel B. Finan
22
Inverse Trigonometric Functions
In this and the next section, we will discuss the inverse trigonometric functions. Looking at the graphs of the trigonometric functions we see that the
Arkansas Tech University
MATH 1203: Trigonometry
Dr. Marcel B. Finan
23
Trigonometric Equations
An equation that contains trigonometric functions is called a trigonometric equation. In this section we will discuss some techniques for solving
trigonometric
Arkansas Tech University
MATH 1203: Trigonometry
Dr. Marcel B. Finan
24
The Law of Sines
One important use of trigonometry is to solve problems that can be modeled by a triangle. Determining the measures of all the sides and angles of
a triangle is referr
Arkansas Tech University
MATH 1203: Trigonometry
Dr. Marcel B. Finan
20
The Double-Angle and Half-Angle Identities
The sum formulas discussed in the previous section are used to derive formulas for double angles and half angles.
To be more specic, conside
Arkansas Tech University
MATH 1203: Trigonometry
Dr. Marcel B. Finan
The graph of a function gives us a better idea of its behavior. In this and the
next two sections we are going to graph the six trigonometric functions as
well as transformations of thes
Arkansas Tech University
MATH 1203: Trigonometry
Dr. Marcel B. Finan
15
Graphs of the Other Trigonometric Functions
In this section, you will learn how to sketch the graphs of the functions
tan x, cot x, sec x, and csc x and transformations of these funct
Arkansas Tech University
MATH 1203: Trigonometry
Dr. Marcel B. Finan
16
Translations of Trigonometric Functions
In this section, we will rely heavily on our knowledge of transformations to
develop an ecient way of graphing periodic functions. Essentially
Arkansas Tech University
MATH 1203: Trigonometry
Dr. Marcel B. Finan
25
The Law of Cosines and Its Applications
The Law of Sines is applicable when either two angles and a side are given
or two sides and an angle are given such that the angle is opposite | 677.169 | 1 |
MATH
DEPARTMENT
Math Pickle
uses "elements to teach mathematical concepts through creative problem-solving
rather than worksheets. Spanning grades K-12, the site offers video clips,
including one demonstrating the math structures..."
"This site contains all the material covered in the Alg
I and Alg II curriculum. Much of the material is
interactive so that you can get explanations, examples, practice problems with hints
and answers."
Part of the Math Homework Help site, this beautifully done site covers every
term used in the study of mathematics.
SparkNotes: Building Blocks of
Geometry
"Visit this web site and learn about points, lines, planes, space, and
dimension. Study rays, segments, and angles. When you're ready, try
some of the practice problems. Check your work and see how well you
do."
dansmath - lessons - calculus
1
"Are you taking calculus class? Do you need some extra help and
practice? This web site can provide just that! Depending upon your area of
need, there are four different sections you can access. The first section
addresses limits, sequences, functions, and graphs. The next section
addresses differential calculus. This includes tangent lines and
derivatives, as well as differentiation rules and applications. New material
is always being added so be sure to check back often." | 677.169 | 1 |
Be sure that you have an application to open
this file type before downloading and/or purchasing.
7 KB|n/a
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Product Description
This is a fairly exhaustive ExamView question bank containing every permutation of single-step equations with addition, subtraction, multiplication, and division using integers. As always, my goal is that the randomized problems must be consistent across multiple versions of quiz or test in order to enable the accurate assessment of the same skills across all versions. The equations are geared toward Pre-Algebra students or lower level Algebra students.
For example, x - 6 = -13 will always have a negative solution regardless of the random numbers. You don't need to worry that one student has that problem and another has x - 12 = -5 (or worse, x - 12 = 4). While these are perhaps subtle differences on the surface, textbook question banks are notorious for giving wildly different structures on the same problem.
There are 26 addition/subtraction problems running through each possiblity with negatives and positives and also the flipped equation, e.g. x+3=10 and 10 = x+3. This also includes equations with the variable in the first and second positions ( x - 5 = 10 and -5 + x = 10).
There are 16 multiplication and division equations, similarly structured. And, there are eight equations with fractions than can be solved in a single-step using the multiplicative inverse. Half of those have integer solutions; the other half have common fraction or mixed number solutions.
The numbers are relatively small in order to deemphasize computation and focus on concepts and process, instead. You can definitely change the numbers in the algorithm definitions if you want more complex calculations. Though the algorithm design is not as crisp and clean as I planned in many of these, it is certainly possible to make some fairly easy modifications.
Lastly, there are four, very simple randomized word problems, one for each operation. You can easily modify the wording or the randomized items to better meet the interests of your students. | 677.169 | 1 |
MATH12: MATH FOR TEACHERS
Course Description
This course is intended for students preparing for a career in elementary school teaching. Emphasis will be on the structure of the real number system, numeration systems, elementary number theory, and problem solving techniques. Technology will be integrated throughout the course. PREREQUISITE: High School Geometry and Math 233 (Intermediate Algebra), or, Math 208 (Plane Geometry) and Math 233 (Intermediate Algebra). All courses must be completed with a grade of 'C' or better. | 677.169 | 1 |
You'll notice that in the last
section, you had the opportunity to re-read the mathematical statement several
times throughout the section. Why was this important?
The fact is-
even if you were an experienced mathematician, you might not have understood a
mathematical statement like the one in section 3.6 the first time you read it.
Mathematicians don't expect to understand mathematical statements the first
time they read them. They know that they often need to read a mathematical
statement several times through, carefully, before they start to understand it.
So,
if you read a mathematical statement once, and you don't understand it fully,
or even at all, don't be concerned. That's perfectly normal, and mathematicians
expect it to happen. The problem is that most people don't know that this is
perfectly normal, and they panic when this happens. Then they decide that they
can't do math.
Most mathematicians, however, know that it is
perfectly normal to not understand something very general and abstract the
first time through, so they immediately begin to employ various strategies that
will help them to understand the mathematical statement.
Strategy One:
Read the problem several times through (at least three times), slowly.
Strategy
Two: Draw a diagram
Strategy Three: Think of a specific example, or create
a specific example.
Let's briefly discuss each of these
strategies.
Strategy One: Read the problem several times through (at
least three times), slowly.
You may have noticed that each time you
read the statement section 3.6, it seemed you understood it a tiny bit more.
This strategy will work even if you don't do any additional thinking about the
statement in between readings. That's because each time you read the statement,
your brain is able to get a little bit more information out of it, which your
brain can then use to get just a little bit more information on the next pass.
It's a bit like opening a stuck drawer by gradually moving it a little bit forward
on one side and then a little bit forward on the other.
Strategy
Two:
It is very useful to draw pictures of the situation the statement
is describing. In the case of a statement about lines, you can actually draw
the lines. In other situations you need to get more creative- perhaps drawing
boxes that represent different parts of the problem and connecting them with
lines to show how they relate to each other
Strategy Three:
Since
a general statement is true about a particular object that fits that description,
you can take a particular object and try out the statement on that object. In
the case of the statement in 3.6, for example, you might have tried laying out
a piece of string, and measuring it. Then you might have tried picking a point
on the string, and cutting the string in half with a pair of scissors at that
point. Then you could have measured the two new pieces of string and added the
lengths of the two of them together to see what the result was. Making an actual physical model using string, or modelling clay, or any other material you have at hand, also has the advantage of letting you actually explore the problem in a hands on way. Some people find this way of problem solving easier than just drawing diagrams or writing statements about the problem on paper. | 677.169 | 1 |
Book Description (Editorial Review)
Conformal groups play a key role in geometry and spin structures. This book provides a self-contained overview of this important area of mathematical physics, beginning with its origins in the works of Cartan and Chevalley and progressing to recent research in spinors and conformal geometry.
Key topics and features:
Focuses initially on the basics of Clifford algebras
Studies the spaces of spinors for some even Clifford algebras
Examines conformal spin geometry, beginning with an elementary study of the conformal group of the Euclidean plane
Treats covering groups of the conformal group of a regular pseudo-Euclidean space, including a section on the complex conformal group
Introduces conformal flat geometry and conformal spinoriality groups, followed by a systematic development of riemannian or pseudo-riemannian manifolds having a conformal spin structure
Discusses links between classical spin structures and conformal spin structures in the context of conformal connections | 677.169 | 1 |
This course is designed to assist students in learning to use mathematics effectively as a tool in their lives as producers and consumers. Methods students can use to approach problem solving in a logical manner are emphasized in realistic business situations. Spreadsheet applications relating to course topics will provide real-world computer experience. | 677.169 | 1 |
Teaching
MTH/CS 364/464 Numerical Analysis (Fall 2016):
Overview:
This course is an introduction to numerical algorithms as tools to providing solutions to common problems formulated in mathematics, science, and engineering.
Focus is given to developing the basic understanding of the construction of numerical algorithms, their applicability, and their limitations.
Topics include numerical techniques for solving equations, polynomial interpolation, numerical integration and differentiation,
numerical solution of ordinary differential equations, error analysis and applications.
Here is the course syllabus. | 677.169 | 1 |
Gavilan College JumpStart
MATH 235 - INTEGRATED ALGEBRAis now offered in both fall and spring! To enroll in CRN 40804, contact the instructor, Elena Dachkova at edachkova@gavilan.edu.
See below for additional sections of JumpStart math and English.
What is JumpStart?
JumpStart is a program for students who want to complete their English and math prerequisites quickly. Students spend each semester focusing on one subject and building a strong foundation in the basics. Since each subject is taught in an immersion format (6-10 units), students should enroll in English OR math at one time and should have enough time in their schedules to devote 15-25 hours a week to their studies outside of class.
Who can enroll?
Students who have completed Gavilan's placement assessment and are eligible to enroll in English 250P Practical Writing and English 260P Preparation for College Reading (6 units), Math 411 Integrated Pre-Algebra (6 units), or Math 235 Integrated Algebra (10 units).
How will I benefit?
• Complete your English and math prerequisites quickly.
• Receive a high level of support from teachers, counselors, tutors, and peers.
• Work with a designated JumpStart counselor to plan your studies.
• Participate in student success workshops.
How can I prepare? Students planning to take Math 411 or 235 are highly encouraged to take a math boot camp in January. Math 414 (CRN 40806) meets Jan. 22 & 25-28 from 9-3:30.
MATH 411: INTEGRATED PRE-ALGEBRA (6 UNITS) This course is a blend of standard Elements of Arithmetic and Pre-Algebra courses with the focus on operations with whole numbers, fractions, percentages, proportions, and signed numbers. Algebraic topics such as variables, expressions, and solving basic linear equations and applications are introduced. This is a pass/no pass course where pass is given for mastery of the above topics. The mastery level is set by the department. ADVISORY: MATH 414
CRN 40146 09:45- 11:15 MTRF M. Grover MA 102
MATH 235: INTEGRATED ALGEBRA (10 UNITS) This course is a blend of standard elementary and intermediate algebra courses with a focus on linear equations and inequalities, graphs and functions, systems of equations, polynomials and polynomial functions/ equations, factoring, rational expressions and equations, roots, radicals, and complex numbers, exponential and logarithmic functions, and problem solving strategies. PREREQUISITE: Math 411, MATH 402 with a grade of "Pass" , or by placement Recommendation. | 677.169 | 1 |
Learn Math Fast System Volume 4 SE: School Edition
This is the fourth volume of the Learn Math Fast System, School Edition. This book covers basic geometry, up to the 8th grade level. Topics include lines, rays, angles, area, perimeter, circumference, Pythagorean Theorem, Isosceles, Equilateral, and Right triangles. Plus, the metric system is taught. This is the School Edition, so the Answer Key has been omitted. (Answer Key provided in the original version of Volume 4). There is an optional geometry kit full of manipulatives that goes with this book. It can be purchased separately at LearnMathFastBooks.com. Lessons, Worksheets, and Tests are included | 677.169 | 1 |
Course Prereq: MATH 1571 requires either four high school units of mathematics
(including trigonometry) and at least Level 7 on the Mathematics Placement
Test, or MATH 1513.
Course Description: This course is an introduction to calculus. The main concepts
to be studied are limits, continuity, rates of change, derivatives, integrals
and applications.
Course Objectives: The goals for the course include:
·
Developing an understanding of the fundamental concepts and techniques of differential
and integral calculus.
·
Understanding the importance of differential and integral calculus in a variety
of applications.
·
Developing the ability to read mathematics with understanding and to write
mathematics understandably.
General Education Requirement: MATH 1571 is a General Education course These
general education goals are:
·
To write and speak effectively.
·
To process and present both quantitative and qualitative information using
technology.
·
To reason critically both individually and collaboratively.
·
Comprehend mathematical concepts in both applied and abstract contexts.
Students with Disabilities: In accordance with University procedure, if you
have a documented disability and require accommodations to obtain equal access
in this course, please contact the Office of Equal Opportunity and Disability
Services at the beginning of the semester or when given an assignment for which
an accommodation is required. Students with disabilities must verify their
eligibility through the Office of Disability Service in Wick House, (330) 941-1372
intake procedure.
Need help? Stop in the Mathematics Assistance Center, Cushwa Hall, Room 3090,
to inquire about the free services available for this course. | 677.169 | 1 |
Pre-Algebra - GDA 2.2
Publisher's Description:
Pre-Algebra - GDA - Pre-Algebra One is a complete curriculum for students who need help mastering the skills needed for Algebra and beyond. This teaching tool provides guided instruction, video demonstrations and practice problems. Designed by veteran math teacher Joel Bezaire of the University School of Nashville, Pre-Algebra One will replace traditional text books in his classes. This release includes all sections A to I. | 677.169 | 1 |
Michael Sullivan's time-tested approach focuses students on the fundamental skills they need for the course: preparing for class, practicing with homework, and reviewing the concepts. The Enhanced with Graphing Utilities Serieshas evolved to meet today's course needs by integrating the usage of graphing calculator, active-learning, and technology in new ways to help students be successful in their course, as well as in their future endeavors.
Represents mathematics as it appears in life, providing understandable, realistic applications consistent with the abilities
of any reader. This book develops trigonometric functions using a right triangle approach and progresses to the unit circle approach. Graphing techniques are emphasized, includingWith an emphasis on problem solving and critical thinking, Mark Dugopolski's College Algebra and Trigonometry:
A Unit Circle Approach, Sixth Edition gives students the essential strategies to help them develop the comprehension and confidence they need to be successful in ...
Ratti and McWaters have combined years of lecture notes and classroom experience to bring you
a series that connects concepts and maintains course rigor. An extensive array of exercises and learning aids further complements your instruction, which ultimately helps to ...
Michael Sullivan's time-tested approach focuses students on the fundamental skills they need for the course:
preparing for class, practicing with homework, and reviewing the concepts. The Enhanced with Graphing Utilities Serieshas evolved to meet today's course needs by integrating the | 677.169 | 1 |
Course info
An introduction to mathematics and the solving of word problems to include sets; the real number system; elementary algebra including equations and inequalities in one variable, radicals; systems of equations and inequalities with graphing; simple geometry and geometric formulae using U.S. customary and metric measurements. | 677.169 | 1 |
Tell a friend about this book...
1989 Edition. This traditonal text acquaints the students with the fundamental tools of geometry in an interesting way. Students are impressed with the necessity of a formal proof before being plunged into demonstrative geometry. Many proofs are done for the students to train them in the thinking process. Students are taught to think logicall... more »y and systematically through a well-written text and through abundant exercises. There are many "extras" which include the mathematical imformation on several famous buildings, biographies of great mathematicians and geometry in the world around us. Recommended grades 11 and 12.« less | 677.169 | 1 |
Search Results
This course will focus on key algebraic concepts, including polynomial, rational, and algebraic expressions, equations, and inequalities. Students engage in problem solving to build conceptual understandings of algebraic thinking, variables, and functions. Emphasis on transitions from arithmetic to algebra and links between data analysis and algebra | 677.169 | 1 |
The Numbers Guide, now in its fifth edition, is aimed at managers who have budgetary, planning or forecasting responsibilities and is invaluable for everyone who wants to be competent, and able to communicate effectively, with numbers. There are chapters on Key Concepts * Finance and investment * Measures for interpretation and analysisForecasting techniques * Sampling and hypothesis testingIncorporating judgments into decisions * Decision-making Linear programming and networking * How spreadsheet programmes can make it easy. | 677.169 | 1 |
I learned how to do proofs, the basics of trig, and how to do math without using a calculator.
Hours per week:
6-8 hours
Advice for students:
Study a lot. Do not miss class because you will miss a lot of you do. Write down every step and memorize equations.
Course Term:Fall 2016
Professor:meehan
Course Tags:Math-heavyGreat Intro to the SubjectLots of Writing
Jun 22, 2016
| Would highly recommend.
This class was tough.
Course Overview:
If you like a challenge and love learning about how to apply math into your daily life, this course is definitely perfect. Areas that I learned how to apply it was into construction, finances, and calculating the outcome of different business choices.
Course highlights:
The highlight of this course was learning about the derivative. It was a long process because it started off with an informal definition that basically introduces and explains the purpose of the derivative. Then throughout the rest of the class we were able to see it transcend into it's modern use.
Hours per week:
6-8 hours
Advice for students:
In order to succeed in this class you definitely have to make sure to pay close attention and ask questions whenever you are confused. Every particle of knowledge matters, so be sure to take notes, study, and stay on top of homework. Do not allow yourself to forget anything because you will use what you learn each day in order to reach the end of the course. | 677.169 | 1 |
Mathematics that everyone can do and enjoy
If there is one area of recreational mathematics that is accessible to everyone, it is the practice of polyominoes. For in many cases, that is all it takes to solve the problems. While proving a result can be difficult, understanding the proof is almost always very easy. Read more
The basics of proof techniques covered in sufficient depth
As the title indicates, the legendary Paul Erdos was involved in the creation of this book. In 1983, Erdos and other Hungarian mathematicians started the Budapest Semester in Mathematics (BSM), a program for American and Canadian undergraduate students. One of the courses in this program involves creative problem solving, which was the motivation for the material in this book. As is the case with books on problem solving, no particular area of mathematics is examined. The emphasis is on proof techniques, which are largely independent of the mathematical topicConcise and non-trivial
Discrete maths underpins most of modern cryptography and information theory. Quite different from continuum maths like calculus that a student might already be familiar with. Here, Anderson provides us with a concise introduction to the subject, that assumes no prior coursework in this field.
This is definitely Higher!
I was looking for a book for my girlfriend this Christmas and stumbled upon this one.At first I thought it would be too light but was I ever mistaken!!This book is so high that it would make Jack Kerouac dizzy.It begins with a treatment of basic category theory and ccc's and then goes on to present toposes and intuitionistic type theory.The authors take care to annotate their turnstile with the set of free variables (Hah!I bet you thought I had no idea what this book was about!) so that they can deal with empty types in a reasonable way.The treatment of presheaf models is very lucid and the discussion of internal languages and lambda-calculi is excellent.In fact many papers of Koymans are just exercises from this book worked out.The book is slightly out of date, no treatment of linear logic or symmetric monoidal-closed categories.Overall this book is highly recommended for the beginner and expert alike.
... Read more
Knuth's eccentricity discourages beginners
I found that Knuth's reputation for eccenctricity gets in the way of actually getting to the meat of the book.For example, getting the programs to compile under Windows was not as straightforward as it could be (although not that difficult).Much harder was to get used to the idea of using CTANGLE and CWEB in order to get Graphbase to a state where you can actually compile it.
Good middling book
The treatment is logically rigorous and impeccably arranged, yet, ironically, this book suffers from its best feature: it is comprehensive. As a book becomes more encyclopedic, it becomes less useful for pedagogy. Introduction to Graph Theory is somewhere in the middle. It is an adequate reference work and an adequate textbook. Steering a middle course, the book is bound to dissatisfy people with specific needs, but readers needing both a reference and a text will find the book satisfying.
Graph lovers' book
West is enthusiastic about graph theory.I do not recommend this book for independent study, nor would I recommend it for a first-time student of graph theory.It is called "Introduction to Graph Theory", not because it is an appropriate introductory text for new students, but because it covers a broad area of the subject.I recommend it for a student who has read at least one lower-level introductory text and would like to round out their knowledge of graph theory in a more in-depth way.
Just a pile of theorems without much insight
This book is an average book on graph theory. Although the author is an authority in the field, he seems to just have collected a bunch of theorems and put them together "a la" copy-and-paste, without filling up the gaps with useful insights.Intuition is always the key on a book that claims to be introductory, and this book lacks a lot of that. Probably useful as a reference book, but again not as "Introduction to Graph Theory" (and to be used as a "handbook of graph theory" it would need much more material.
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Great stuff!!
This is by far the best book on Schubert varieties that I have ever seen. Precise, yet detailed, thorough but never pedantic. Billey is a wonder. The writing, though admirably confined to math, is poetic; never more so, than in that lyrical sentence that begins "Let there be a Wyle space..."
Illuminates the subject matter
Clear, cogent, and to the point. Explores the relevant variables and delivers the goods. A must read for Schubert afficionados.
... Read more
Excellent!
This is a very clear book, easy to read.It is a very enjoyable.
A little gem
One of most common problems with most math textbooks is the excess of inappropriate details.The basic format of this book is concise presentation of the essentials followed by diverse problems.Instead ofgiving an imcomplete introduction to the more advanced ideas like someauthors do Jackson and Thoro tell you where to find them in other books atthe end of every section.This book is proof that it doesn't take a famousmathematician to write a good book.
... Read more | 677.169 | 1 |
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Product Description
All of the problems in my multi-grade database of 42,500+ fall into various categories (construction, word problem, multiple choice, etc) and one of those is that of WORD problems. These particular problems are MOST of the ones in this group of 4 Algebra Domains (A-APR,A-CED, A-REI and A-SSE) .
WORD problems:
I have discovered that a variety of word problems can cause a student to more fully understand a concept.
TARGET AUDIENCE:
At the end of the school year (whether it is an Algebra I or Algebra II course) it might be fun to go over these as a form of review and to see how much of what has been taught actually "stuck." Also, these can be used as a "problem of the day" exercise whenever you want. My intention is to develop several of these WORD problems PDF's for the various domains and grade levels.
HOME SCHOOLERS:
Thes particular problems are both classical and unique. Take a look and and see for yourself if your students can benefit from these sometimes challenging problems.
INCLUDED:
4 worksheets are included: with 81, 152, 212 and 272 problems taken from over 20 skills that are themselves subsets of CC Algebra Standards. Take your pick as to which one seems most appropriate.
Also, 7 quizzes are included, each of 8 to 10 questions, of varying degrees of difficulty.
Take a look at the PREVIEW as it is typical of the actual PDF's | 677.169 | 1 |
I have created a small revision booklet on some of the topics that come up at Level 1 and 2 Edexcel Functional Skills Maths exams. This pack can be used for learners to complete self directed study or can be used alongside lessons. I have left it generic so can be adapted to suit different vocations.
An interesting meld of description, investigation, paired discussion and tasks.
Ideal introduction to L1 averages – also useful at high E3.
Adapted from one page of Nikki Gilbey'sData Collection and Averages – functional tasks (listed below under See also). | 677.169 | 1 |
Switched on Schoolhouse Math grade 8
Description
With SOS 8th Grade Math, students review and master essential geometry and algebra concepts. The repetition of mathematical principles helps students remember concepts for a longer period of time. Put the right equipment in your student's hands with SOS 8th Grade Math, which covers topics such as: Factors and Multiples Fractions and Rounding Formulas and Geometry Integers The Variable. Created to enrich your student's learning experience, SOS 8th Grade Math is an applauded study tool! Other information covered in this fun-filled course includes story problems, understanding place value, and using the four operations. Your student will also learn about pyramids, prisms, and the Pythagorean Theorem.show more | 677.169 | 1 |
Statistics for Business and Economics
This volume provides solid methodological development in the area of statistics for business and economics. The development of each technique is presented in an application setting, with statistical results providing insights and solutions to problems.
Language: en
Pages: 408
Schaum's Outline of Mathematical Methods for Business and Economics
Confused by the math of business and economics? Problem solved. Schaum's Outline of Mathematical Methods for Business and Economics reviews the mathematical tools, topics, and techniques essential for success in business and economics today. The theory and solved problem format of each chapter provides concise explanations illustrated by examples, plus numerous problems with fully worked-out solutions. And you don't have to know advanced math beyond what you learned high school. The pedagogy enables you to progress at your own pace and adapt the book to your own needs.
Games for Business and Economics
Whether you're a veteran in the business game or have just sat down to play, this book will teach you the importance of rules and how to use them to your advantage. Here you can learn the basic strategies for being competitive in a variety of situations, from the blackjack table to the boardroom table. Pull up a chair and prepare to solve gaming problems as they relate to the business and economic environments today.
Language: en
Pages: 383
Calculus for business and economics
Linear functions and their graphs; Quadratic, exponential, and multivariate economics; The difference quotient, limits, and the derivative; Differentiation rules; Optimization using calculus; Higher order derivatives and their application; Single variable business and economic models; Partial derivatives; Multivariate business models; Integral calculus; Methods of integration; Application of integral calculus.
Provides readers with the knowledge they need to become stronger analysts for managerial positions.
Language: en
Pages: 50
Essentials of Statistics for Business and Economics
Trust the market-leading ESSENTIALS OF STATISTICS FOR BUSINESS AND ECONOMICS, 8E to introduce sound statistical methodology using real-world examples, proven approaches, and hands-on exercises that build the foundation readers need to analyze and solve business problems quantitatively. This edition gives readers the foundation in statistics needed for an edge in today's competitive business world. The authors' signature problem-scenario approach and reader-friendly writing style combines with proven methodologies, hands-on exercises, and real examples to take readers deep into today's actual business problems. Readers learn how to solve problems from an intelligent, quantitative perspective. Streamlined to focus on core topics, this new edition provides the latest updates with new case problems, applications, and self-test exercises to help readers master key formulas and apply statistical methods as they learn them. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version. | 677.169 | 1 |
Gary Rockswold focuses on teaching algebra in context, answering the question, "Why am I learning this?" and ultimately motivating the reader to succeed.
Introduction to Functions and Graphs. Linear Functions and Equations. Quadratic Functions and Equations. Nonlinear Functions and Equations. Exponential and Logarithmic Functions. Trigonometric Functions. Trigonometric Identities and Equations. Further Topics in Trigonometry. Systems of Equations and Inequalities. Conic Sections. Further Topics in Algebra. Basic Concepts From Algebra and Geometry.
For all readers interested in algebra and trigonometry.
"synopsis" may belong to another edition of this title.
About the Author:
Gary Rockswold- Dr. Gary Rockswold has been teaching mathematics for 25 years at all levels from seventh grade to graduate school, including junior high and high school students, talented youth, vocational, undergraduate, and graduate students, and adult education classes. He is currently employed at Minnesota State University, Mankato, where he is a full professor of mathematics and the chair of the mathematics department. He graduated with majors in mathematics and physics from St. Olaf College in Northfield, Minnesota, where he was elected to Phi Beta Kappa. He received his Ph.D. in applied mathematics from Iowa State University. He has an interdisciplinary background and has also taught physical science, astronomy, and computer science. Outside of mathematics, he enjoys spending time with his wife and two children. | 677.169 | 1 |
Event Details
Mathematical and Computational Biology Education
Host: University of Puerto Rico - Rio Piedras
Location: San Juan, Puerto Rico
Date(s): July 6, 2004 - July 9, 2004
Abstract/Description:
This four-day workshop will introduce and explore mathematical and computational biology—the use of quantitative techniques and powerful software packages to address biological questions. Over the course of the workshop, presenters will introduce specific biological questions from genetics, ecology, allometry, viral evolution, colonial morphology, and show how mathematical and computational techniques can help us learn more about these systems. Participants will then learn to use a variety of tools such as physical and computational models, phylogenetics software, and visualization software, and apply this knowledge both to explore mathematical models of biological systems and to analyze actual biological data. The workshop emphasis will be on group work and collaborative learning. Through inviting participants with diverse backgrounds and interests, we hope to encourage interdisciplinary communication and lay a foundation for future collaboration. | 677.169 | 1 |
This book was written "to provide a solid foundation in algebra for students who might have had no previous experience in algebra." This is a college textbook, which may also be used by an advanced high school student.
$9.95
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Condition
GOOD: The pages are in good condition and are writing free except for the front end page, but this writing does not obscure the text. There is a "used book" stamp on the top outer page edges. The back cover's outer lower corner is "dinged", but the rest of the book remains in excellent condition. The Test Prep Video CD remains in an UNOPENED sleeve at the back of the book.
Description
Textbook
Intro: "You can succeed with the clearly explained concepts, study skills help, and real-life applications in Intermediate Algebra, Fourth Edition. Good study skills are essential to success in mathematics. Martin-Gay features a strong emphasis on study skills, and is accompanied by a unique new student resource—the Chapter Test Prep Video CD—that gives you video solutions to every Chapter Test problem in this text. The Chapter Test Prep Video will help you prepare for tests and use your study time more efficiently than ever before!"
The examples have step-by-step annotation to explain how to work a problem. There are color photos and illustrations throughout, but these do not overwhelm the text. This textbook is written at a more mature level for advanced high school or college students.
Chapters
Real Numbers and Algebraic Expressions
Equations, Inequalities, and Problem Solving
Graphs and Functions
Systems of Equations
Exponents, Polynomials, and Polynomial Functions
Rational Expressions
Rational Exponents, Radicals, and Complex Numbers
Quadratic Equations and Functions
Exponential and Logarithmic Functions
Conic Sections
Sequences, Series, and the Binomial Theorem
Appendices
Solving Equations and Inequalities—Study Skills Practice
Review of Geometric Figures
Review of Volume and Surface Area
An Introduction to Using a Graphing Utility
In the back, there are Answers to Selected Exercises, an index, and photo credits.
Test Prep Video CD
This CD presents videos that feature the author providing all the solutions to the text's Chapter Test questions.The text is designed to introduce some of the basic concepts and techniques of linear algebra and to make them accessible to freshmen and sophomores, many of whom are not mathematics majors." — Paul C. Shields, Author, 1967"Our goal, quite simply, is to help today's students both learn and retain mathematical concepts. To achieve this goal, we feel that we must prepare developmental mathematics students for the transition from 'skills-oriented' elementary and intermediate algebra courses to more 'concept-oriented' college-level mathematics courses. This requires that we teach these same students critical thinking skills: to reason mathematically, to communicate mathematically, and to identify and solve mathematical problems." — The authors in the Preface (page xiiiMatrix Groups for Undergraduates is concrete and example-driven, with geometric motivation and rigorous proofs. The story begins and ends with the rotation of a globe. In between, the author combines rigor and intuition to describe basic objects of Lie theory: Lie algebras, matrix exponentiation, Lie brackets, and maximal tori | 677.169 | 1 |
The course will include an exploration of a variety of mathematical
topics such as linear equations, exponential functions, probability, graph
theory, statistics, sequences and series, similarity, etc. This course is
unique in that students will learn through collaborative work and exploration.
Expectations: It is the responsibility of the student to be on time and prepared
for class every day. Most importantly, you are to be wide-eyed, ready and
willing to learn. It is your responsibility to share your knowledge and to
be helpful to your collaborative learning group members.
Individual assignments, quizzes, tests, notebook checks,
and projects will be worth a set amount of points. Group effort will also
be assigned a set number of points each term. Your term grades will be based
on the total points you earned and the total points you could have earned.
Homework:
Homework will be assigned every day.
- Each, informally, checked assignment is worth 2 term points.
- Each, formally, collected and graded assignment is worth 5 term points.
- All work and/or a strong attempt at completing all problems must be shown.
- Late homework assignments will only be accepted in RARE circumstances.
Quizzes:
Quizzes will be given throughout the year. Each quiz is worth
approximately 25 term points.
Quiz Corrections:
In order to promote your learning, quiz corrections may be
submitted up to a percent grade of 85%. Directions for quiz corrections will
be given later.
Tests:
Tests will be given at the end of each module and are worth
approximately 100 term points each. Test corrections ARE NOT allowed. There
will also be a Final exam and Midyear exam.
Portfolio:
You are required to maintain an organized "Portfolio"
for this class. The Portfolio will be collected at periodically during each
unit. Since your portfolio will contain all of your in-class work, it will
be worth 40 points every time it is collected. A "Group Work Effort"
grade will also be factored into your Portfolio grade. A separate handout
describes the portfolio requirements and gives more information on how your
binder will be graded.
Term Projects:
Projects worth 25-100 term points may be assigned.
Missed Work:
If you miss class, then it is your responsibility to make-up
missed work. Missed quizzes and tests will be taken during a J-Block or free
block. It is your responsibility to schedule make-up quizzes/tests with the
teacher. Unexcused absences will result in a ZERO on missed homework/quizzes/tests.
Extra Help:
Extra help is available during most J-Blocks. Help is given
on a first come first serve basis. DO NOT wait until the last minute for assistance.
To use J-Block most efficiently come prepared with SPECIFIC questions (problems
from the text or past quizzes are a great start). You may also use J-Block
as an opportunity to complete your homework assignments. If problems arise,
then you can receive timely assistance.
Attendance:
Attendance is required in this course. I will
strictly adhere to the school's attendance policy concerning unexcused
absences/tardies and grades of "N". All excused absences and tardies
must come through the house office (in the form of the official attendance
lists or through blue notes / late slips).
For each term:
3 Unexcused Absences = (N) Failure due to Attendance
3 Unexcused lates = 1 Unexcused Absence
(This means, 9 unexcused lates will result in a failure!)
How should your homework be organized?
Each assignment should be completed on a separate
sheet of loose-leaf paper. NO FRILLY EDGES PLEASE!
Your name, the SECTION # and the date due of
the homework assignment should appear at the top of the page.
Your homework should be completed in pencil.
Credit will only be given if it has been earned.
This means all work must be shown. It should be evident that you attempted
all problems. Leave a space between each completed problem. Leave at least
4 lines if you have not completed a problem.
A LIMITED number of homework questions will
be taken at the beginning of each class. You are also responsible for seeing
Mr. Albright during J-Block to complete incomplete problems.
DO NOT SQUISH YOUR HOMEWORK! If I cannot read
it, you will not get credit.
682
SIMMS Homework Guide
Informally Checked HW
(2 points)
Formally Collected and Graded
HW
(5 points)
Work
Done
Points Earned
Work Done
Points Earned
Not Handed In
0
Not Handed In
0
Answer without Work, multiple problems
skipped without effort shown
1
Most problems left blank, work not
shown, explanations not given, many major mathematical/reasoning errors
1
Work show, incomplete problems show
a clear effort
2
Some problems left blank, work not
shown, explanations not given, some major mathematical/reasoning errors,
many minor errors.
2
MOST problems answered, however only
a minimal amount of work or explanation is given for each problem, many
minor errors or some major errors are apparent.
3
All problems answered, more work/explanations
need to be shown on some problems, most of the work is correct except
for minor errors
4
All problems answered, work shown,
answers written in complete sentences, explanations given where appropriate,
most of the work is correct except for minor errors
5
If you are
unable to complete a 5-point homework assignment because you REALLY do not
understand the material, then you MUST see Mr. Albright at the beginning of
class to schedule a help appointment! You may still be able to earn
5 points if you do so!
What should your Math Portfolio
look like?
You
may organized your class notes / class work into a notebook, binder or folder
as long as it does not exceed 1 inch in binding length.
Your
NAME, MATH BLOCK, and HOMEROOM should appear on the outside of the Portfolio
(use a label or permanent magic marker). Feel free to decorate
the outside of your Portfolio in an appropriate manner.
They should be separated into
two sections:
Class Notes/Work
Homework
Class
notes and work should be written everyday in class and included in your
notebook.
Class notes and class work should
include:
Date
Unit Name
Activity Number/Name
Problem letter/name
(In other words, it should be neatly
organized and easy to follow)
Your
homework should be organized by date.
After
you receive your graded homework, place it in your binder.
Your
binder will be collected at the end of every unit
Portfolio Grading Guide
40 points total
Portfolio
Requirement
Points
possible for each Portfolio Requirement
Organization
(Are all components present and neatly organized? Can a specific
activity be easily located?)
5
Completion
(Are all class work activities included and completed? Are answers written
in complete sentences with work shown and explanations given?
Are your answer written in your own words or are they duplicates of
other studentsí work?)
25
Group
Effort (Were you an active participant in you group? Did
you share knowledge in a helpful manner? Did your support the
learning of your group members? Did you ask questions which helped
to strengthen your knowledge and/or the knowledge of other members of
your group? Did you show growth in group work skills? Did
you behave appropriately during class? Did you complete your group
work in a timely fashion or were you a constant distraction to yourself
and other students?)
10
NOTE:
Your portfolio
will initially be graded ěeasyî. As we enter second term, however, it
is expected that you will be very familiar with the Portfolio requirements
and, thus, grading will become more stringent! | 677.169 | 1 |
About this item
Comments: Fast Shipping! Ships within 1 business day. Arrives within 3-8 business days. May contain highlighting/markings or cover wear. Book in ACCEPTABLE condition2412208
ISBN: 0072412208
Publisher: McGraw-Hill Higher Education
AUTHOR
Barnett, Raymond A., Ziegler, Michael R., Byleen, Karl E.
SUMMARY
The Barnett, Ziegler, Byleen College Algebra/Precalculus series is designed to be user friendly and to maximize student comprehension. The goal of this series is to emphasize computational skills, ideas, and problem solving rather than mathematical theory. Precalculus, 5/e, introduces a unit circle approach to trigonometry and can be used in one or two semester college algebra with trigonometry or precalculus courses. The large number of pedagogical devices employed in this text will guide a student through the course. Integrated throughout the text, the students and instructors will find Explore-Discuss boxes which encourage students to think critically about mathematical concepts. In each section, the worked examples are followed by matched problems that reinforce the concept that is being taught. In addition, the text contains an abundance of exercises and applications that will convince students that math is useful. A Smart CD is packaged with the seventh edition of the book. The CD tutorial reinforces important concepts, and provides students with extra practice problems.Barnett, Raymond A. is the author of 'Precalculus Functions and Graphs' with ISBN 9780072412208 and ISBN 0072412208 | 677.169 | 1 |
Wednesday, March 12, 2014
ScienceandMath.com Review
Oh Algebra many homeschool parents nightmare. Often with new homeschooling parents I hear...
"This is fine for now ,I can teach Elementary but what about High School. How will I ever teach those higher levels of Math?" It might not be as hard to do as you think. Maybe you as the teacher have not had Algebra in years or perhaps you never had it. There is nothing to worry about if you get stuck. Check out ScienceandMath.com. You will be able to learn along with your child or you can send them on their way to their own private tutor with the Algebra 1, Volume 1 physical dvd. This is a 7 hour course with step by step instructions. The Algebra 1 Volume one dvd is the first part of a two part dvd series.
You can purchase the physical dvd such as the one I received for $26. 99 originally listed at $31. 99 . That's a 16% savings. The course is also available for download for $23.99. There are other courses on the site from 4th grade all the way to 12th grade and Science as well.
You will also want the accompanying worksheet pages that go with the dvd those are the Fractions thru Algebra Companion Worksheet dvd. This is a downloadable file for $21.99. It is strongly suggested you purchase both the dvd and the worksheets for optimal use.
I specifically received the Algebra 1 Tutor dvd and downloadable worksheets. I was able to play the dvd in my laptop. As long as you have a dvd drive you should be able to view it. You can also use any dvd player. You will need a printer to print out worksheets or you can bring them up on your laptop and work on a piece of paper or wipe board.
What is covered:
The dvd begins with fractions assuming you know nothing about them and works you through the lessons step by step via video instruction. You will find three disks with your Algebra 1, Volume 1 set and this is what will be covered on those disks.
The Tutor dvd seemed to align with the text book we had been using and the site suggests that it should align with most curriculum. What I especially liked about the dvd's was that I could load in the dvd we were working on and click the words to the video we wanted to view. It made it simple to locate what we wanted to begin working on.
How we used Algebra 1 Tutor: My daughter Princess worked through the Algebra 1 Tutor, Volume 1 dvd on her own. She is 16 years old. You could use it with students 7th grade and up, perhaps 6th if you have an advanced math student. Princess has dyslexia and has overcome much over the years as far as academics go. She used to do a lot of number reversals and reverse concepts when they came in two part forms. Step by step is essential for her math education. She had recently completed a course for Algebra 1 but we felt. (she felt) that she was not quite ready yet for the Algebra 2 course. She was confused by many of the concepts
represented. So we willing dug into the tutor dvd. She wanted to do this on her own . She is older now and likes to try to do things alone. Basically each day she would put the dvd into the laptop. Click the lesson she wanted to view and sit and watch the session. On occasion she would jot down notes for her own reference. She actually whizzed through the beginning of the dvd so we were able to get to section 8 by the end of this review period. Jason Gibson is the instructor on the videos and he is very clear in his explanation showing the steps on the wipe board behind him.
Princess stated after the first few lessons that "He explained things so that I could understand them. Algebra seems easy to me now. "
The videos themselves were about 30 minutes or so in length. Very manageable for one sitting. She would then print out the worksheet for that section and work through the problems. What I liked most about the worksheet was all the space available for working out the problems . There are only approximately 3-4 problems per page. If needed you could split up the worksheets. We did the entire thing at one sitting , which took her sometimes and hour to complete with the video and worksheet sometimes less depending on the topic.
Below is a worksheet page from section 8.
At the bottom of the worksheet section are the answers for review. Each section comes in a different file. So you can open and print out as needed. We printed the pages she needed and then I kept the teacher guide part. I like how the answer is explained by the steps for each part of the problem. (see below)
Here is another page from her worksheet. As you can see she didn't quite complete problem 19. She was stuck. We were able to work through and finish the problem together later.
The answer guide helped me walk her though it. She had the three but was unsure of the negative. She always reverse - and positives when working with those. Adds a different challenge to the mix when doing math.
Our Overall Thoughts: Overall She enjoyed working through the dvd. Princess mentioned to me that she would like to have volume 2. So that looks like that might be our next purchase for our school. We both really liked that the math was explained in an easy to explain fashion. I was happy that it was set up so that she could succeed.
If you would like to read more about ScienceandMath.com Click the graphic below to read some of the crew's thoughts | 677.169 | 1 |
Although the notion of the
square root of negative-one seems highly analytically and somewhat theoretically,
it does have its applications in engineering. This course module will
show a derivation of the square root of negative-one, and many of manipulating
techniques. This include its similarity with the Cartesian coordinates
plane. The relationships between polar and rectangular coordinates will
be demonstrated. The ease of manipulating the complex number in polar
form is emphasized. A quick peek into how a calculator can perform
a seemingly difficult exponential function is also presented. This
technique would lead to the famous Euler's formula. Finally, one equation
showing the relationship of the five most famous numbers in all of mathematics
will be revealed. | 677.169 | 1 |
ACCOUNTING 2 This guide goes further into the various accounting practices that businesses use to keep financially afloat; mathematical equations, charts, and tables are also included in an easy-to-use format. Item:65461401631
CALCULUS For every student who has ever found the answer to a particular calculus equation elusive or a certain theorem impossible to remember, QuickStudy comes to the rescue! This 3-panel (6-page) comprehensive guide offers clear and concise examples, detailed explanations and colorful graphs—all guaranteed to make calculus a breeze! Easy-to-use icons help students go right to the equations and problems they need to learn, and call out helpful tips to use and common pitfalls to avoid. Item:65461400856 | 677.169 | 1 |
Links
The main purpose for 8th grade Algebra is to prepare the students for Geometry as a Freshman in high school. This is a high school accredited high school course and will be treated as such. Homework can be expected everyday and students will have on average 30-50 problems per homework assignment. Quizzes can be expected at minimum once per week. Tests will be given at the conclusion of each chapter. In the Spring semester students will prepare to take the Algebra I "CLEP" test for high schools as well as a Final for class.
Pre-Algebra:
The main focus in Pre-Algebra is to prepare students for a high school leved Algebra class. Pre-Algebra will focus on basic algebra concepts and intermidiate computation skills. It is important for students in this class to gain and master mathematical skills they may not have mastered the year before. Due to this, the first couple of chapters will move slowly and include concepts that they learned last year. Any Pre-Algebra Student can be moved to Algebra with the request from the students parents. If so, please email me at jreinhart@steugeneschool.org and indicate that you would like to move your child to Algebra against the schools reccomendation. | 677.169 | 1 |
E-Mail: adamsmi@mjc.edu (or you can click the link on the web page prfadams.com)
Course Content: We will cover chapters 2, 3, 4, 5, and 6, along with portions of chapters 7, 8, 9, 10, and 11. The remaining parts of the textbook will be covered in Math 89 or Math 90.
Assignments:There will be a total of five tests in this course. One of these is the final, which will be cumulative. The other four will be at the ends of chapters 3, 5, 9, and 11, of which the lowest score will be dropped. Homework will be performed on mymathlab.com few days when the class has a wait list. If there are other students who are waiting patiently to be given a seat in the class, then you should be especially careful about maintaining participation.
Calculators: Calculators will not be allowed on tests. You must maintain your mastery of arithmetic skills, because many of the new algebra skills you will be learning are based directly on those more basic skills Each test will take the first 90 minutes of class, and will be followed by a brief break and then new85258S.L.O.s: "Student 70 | 677.169 | 1 |
Synopses & Reviews
Publisher Comments
Lebesgue integration is a technique of great power and elegance which can be applied in situations where other methods of integration fail. It is now one of the standard tools of modern mathematics, and forms part of many undergraduate courses in pure mathematics. Dr Weir's book is aimed at the student who is meeting the Lebesgue integral for the first time. Defining the integral in terms of step functions provides an immediate link to elementary integration theory as taught in calculus courses. The more abstract concept of Lebesgue measure, which generalises the primitive notions of length, area and volume, is deduced later. The explanations are simple and detailed with particular stress on motivation. Over 250 exercises accompany the text and are grouped at the ends of the sections to which they relate; notes on the solutions are given.
Review
'The book is easy to read, partly because of the treatment adopted, and partly because of the quality of the exposition. Dr Weir's style is clear, friendly and informal; he shows how the results fit in with the reader's intuition; he highlights the important things and warns of the difficult things (these warnings when a hard bit is coming up are most confidence-preserving). He does not aim at maximum generality at the cost of understanding. The examples are chosen with care, many of them being, in effect, lemmas that will be needed later in the proofs of theorems.' Mathematical Gazette
Synopsis
This text is aimed at the student who is meeting the Lebesgue integral for the first time. Defining the integral in terms of step functions provides an immediate link to elementary integration theory as taught in calculus courses.
Synopsis
A textbook for the undergraduate who is meeting the Lebesgue integral for the first time, relating it to the calculus and exploring its properties before deducing the consequent notions of measurable functions and measure. | 677.169 | 1 |
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Product Description
This worksheet is designed to give instructions for students and help them to get used to using their calculator to calculate exponential regressions using their Ti Calculator. There is currently no answer key, but it is in word document form, so you can modify the worksheet however you like, and even use it to assist students with various exponential data collection activities. | 677.169 | 1 |
Synopsis
Common Core Mathematics is the most comprehensive CCSS-based mathematics curriculum available today. * The modules are sequenced and paced to support the teaching of mathematics as an unfolding story that follows the logic of mathematics itself. * They embody the instructional "shifts" and the standards for mathematical practice demanded by the CCSS. * Each module contains a sequence of lessons that combine conceptual understanding, fluency, and application to meet the demands of each topic in the module. * Formative assessments are included to support data-driven instruction. * The modules are written by teams of master teachers and mathematicians. The New York Edition is nearly identical to the national version but available earlier for the 2013-2014 school | 677.169 | 1 |
September 9, 2010
Review
We have completed 4 sessions. It is time to take stock of our learning.
The textbook is both a resource as well as a stimulant for reflection.
The first session focuses on Chapters 1 and 2 - what is meant to be doing mathematics. The second session focuses on Chapters 3 and 4 - problem solving. The third and fourth session deals with number sense - Chapters 8 through 13. Along the way we touched on some ideas of fractions and algebra (patterns) - Chapters 14, 15 and 16.
The last two sessions will focus on Measurement and Geometry (Chapters 19 and 20) with some discussion on Data Analysis.
In completing the Major Assignment, you should read thoroughly the concept you have selected for your case | 677.169 | 1 |
Description
Epstein presents the fundamental concepts of modern differential geometry within the framework of continuum mechanics. Divided into three parts of roughly equal length, the book opens with a motivational chapter to impress upon the reader that differential geometry is indeed the natural language of continuum mechanics or, better still, that the latter is a prime example of the application and materialisation of the former. In the second part, the fundamental notions of differential geometry are presented with rigor using a writing style that is as informal as possible. Differentiable manifolds, tangent bundles, exterior derivatives, Lie derivatives, and Lie groups are illustrated in terms of their mechanical interpretations. The third part includes the theory of fiber bundles, G-structures, and groupoids, which are applicable to bodies with internal structure and to the description of material inhomogeneity. The abstract notions of differential geometry are thus illuminated by practical and intuitively meaningful engineering applications.show more
Review quote
'The book is suitable for graduate students in the field of continuum mechanics who seek an introduction to the fundamentals of modern differential geometry and its applications in theoretical continuum mechanics. It will also be useful to researchers in the field of mechanics who look for overviews of the more specialized topics. The book is written in a very enjoyable and literary style in which the rich and picturesque language sheds light on the mathematics.' Mathematical Reviews 'I warmly recommend this book to all interested in differential geometry and mechanics.' Zentralblatt MATHshow more
About Marcelo Epstein
Marcelo Epstein is currently a Professor of Mechanical Engineering at the University of Calgary, Canada. His main research has centered around the various aspects of modern continuum mechanics and its applications. A secondary related area of interest is biomechanics. He is a Fellow of the American Academy of Mechanics, recipient of the Cancam prize and University Professor of Rational Mechanics. He is also adjunct Professor in the Faculties of Humanities and Kinesiology at the University of Calgary.show more | 677.169 | 1 |
Description
Presents Real & Complex Analysis Together Using a Unified ApproachA two-semester course in analysis at the advanced undergraduate or first-year graduate level
Unlike other undergraduate-level texts, Real and Complex Analysis develops both the real and complex theory together. It takes a unified, elegant approach to the theory that is consistent with the recommendations of the MAA's 2004 Curriculum Guide.
By presenting real and complex analysis together, the authors illustrate the connections and differences between these two branches of analysis right from the beginning. This combined development also allows for a more streamlined approach to real and complex function theory. Enhanced by more than 1,000 exercises, the text covers all the essential topics usually found in separate treatments of real analysis and complex analysis. Ancillary materials are available on the book's website.
This book offers a unique, comprehensive presentation of both real and complex analysis. Consequently, students will no longer have to use two separate textbooks-one for real function theory and one for complex function theory.show more
Table of contents
The Spaces R, Rk, and C
The Real Numbers R
The Real Spaces Rk
The Complex Numbers C
Point-Set Topology
Bounded Sets
Classification of Points
Open and Closed Sets
Nested Intervals and the Bolzano-Weierstrass Theorem
Compactness and Connectedness
Limits and Convergence
Definitions and First Properties
Convergence Results for Sequences
Topological Results for Sequences
Properties of Infinite Series
Manipulations of Series in R
Functions: Definitions and Limits
Definitions
Functions as Mappings
Some Elementary Complex Functions
Limits of Functions
Functions: Continuity and Convergence
Continuity
Uniform Continuity
Sequences and Series of Functions
The Derivative
The Derivative for f: D1 â R
The Derivative for f: Dk â R
The Derivative for f: Dk â Rp
The Derivative for f: D â C
The Inverse and Implicit Function Theorems
Real Integration
The Integral of f: [a, b] â R
Properties of the Riemann Integral
Further Development of Integration Theory
Vector-Valued and Line Integrals
Complex Integration
Introduction to Complex Integrals
Further Development of Complex Line Integrals
Cauchy's Integral Theorem and Its Consequences
Cauchy's Integral Formula
Further Properties of Complex Differentiable Functions
Appendices: Winding Numbers Revisited
Taylor Series, Laurent Series, and the Residue Calculus
Power Series
Taylor Series
Analytic Functions
Laurent's Theorem for Complex Functions
Singularities
The Residue Calculus
Complex Functions as Mappings
The Extended Complex Plane
Lineal Fractional Transformations
Conformal Mappings
Bibliography
Index
Exercises appear at the end of each chapter.show more
About Christopher Apelian
Christopher Apelian is an associate professor and chair of the Department of Mathematics and Computer Science at Drew University. Dr. Apelian has published papers on the application of probability and stochastic processes to the modeling of turbulent transport.
Steve Surace is an associate professor in the Department of Mathematics and Computer Science at Drew University. Dr. Surace is also the Associate Director of the New Jersey Governor's School in the Sciences held at Drew University every summer.show more | 677.169 | 1 |
Maths
The Mathematics Department situated in the main building is a well established team. There are 6 fully resourced mathematics rooms situated on the ground floor of the main building where most of the mathematics teaching takes place. The department is well organised and well equipped. There are two computer rooms which can be booked for class lessons and technical support is available.
Amongst other advantages, all rooms in the department have a Promethean interactive whiteboard and an extensive variety of appropriate software.
While studying Mathematics you will be expected to:
Use mathematical skills and knowledge to solve problems
Use logic and reason to solve problems
Break down problems into small steps in order to solve them
Use mathematics that you learn to solve problems that might happen in real life
Learn how to use a calculator to solve problems quickly and effectively
The department uses material from Oxford and Pearson as the main resources with MyMaths text books in KS3 and the new Edexcel GCSE throughout KS4. The department also aims to use a range of teaching methods which includes online assessments throughout the key stages.
The regular assessments and target setting encourage student achievement. GCSE Mathematics is an important foundation for many of the courses you may take in employment or further education, and a requirement for many careers.
All students are assessed regularly and staff keep assessment records up to date. Homework is set regularly at least once a week to all classes.
Our Expectations
We expect all pupils to behave in a sensible and safe manner.
We expect all pupils to show respect to other people and treat them in the same way as they would expect to be treated themselves.This includes teachers, fellow pupils and support staff.
We expect all students to complete class work to the best of their ability, taking care with presentation and the quality of work produced.
Always date your work –underline it using a pencil and a ruler.
Title your work with chapter and page and underline it.
Rule off each piece of work.
Show clearly where homework starts and finishes.
Only use a black pen for writing.
Drawings must always be done in pencil.
Write necessary information only on the front cover
Margins must be drawn on all pages and the pages numbered.
Tipp-Ex is not allowed in exams. Try not to use this in class.
Do not tear pages out of books – you may have to pay for it!
Keep your work tidy.
We have high expectations of our students and aim to motivate them to achieve the highest grades possible.
We expect pupils to regularly complete the homework that is set.
We expect pupils to arrive to class prepared.This means bringing the correct equipment or resources for that lesson.
We believe that it is important that pupils of all ages can work individually and together in teams to explore and develop ideas.
KS3
The mathematics team is committed to using and applying mathematics and presenting tasks in real life context. We also work hard to meet the requirements of the National Curriculum and its assessment arrangements. Year 7 students are taught in their mixed ability forms for the first half term and are then arranged in broad ability groups during KS3.
During these lessons pupils develop their experiences, skills and knowledge over the 2 years.
Following the end of year 8 teacher assessment students start the GCSE course. Each ½ year band has 4 ability groups. Generally, six groups prepare for the Higher Tier and two groups for the Foundation.
The main thing to remember in order to do well is that the teacher is there to help you. If you have any problems then talk them over with your teacher. First he/she will always be prepared to go over work again with you if you show that you really care about your work. Bring your calculator and equipment regularly to lessons. Keep up to date with the classwork and homework.
Resources needed: During your lessons you will need a range of basic equipment such as pens, pencils, pencil sharpener, rubber, ruler, protractor and a pair of compasses. You are expected to bring a scientific calculator to all lessons.
KS4
There is a choice of two levels within this course. The basic course or Foundation Level is the same for everyone but the Higher Level will require topics to be studied in more depth as well as extra topics. GCSE Mathematics covers a wide range of basic mathematical knowledge and skills.
You will work both individually and in groups and will be encouraged to apply your mathematical learning to everyday situations. Self directed work and individual study will form an important part of the approach to coursework. You will be expected to do homework as it is a vital part of your learning process.
Textbooks, which cover all the topics that you study, are provided at the level appropriate to your ability and achievement.
You will use a lot of what you learn in GCSE mathematics in other GCSEs that you study. For example, in Science you may be asked to use formulae and solve equations, in Geography you will need to read charts and diagrams and use statistics and in D&T you will need to use measures and make scale drawings.
A range of methods for calculating is taught – mental, written and calculator methods. All students in Year 11 are entered for the Edexcel 9-1 Mathematics GCSE.
Depending on your test results you will be entered for either the Foundation or Higher paper.
Summary of the linear exam:
The assessments will cover the following content headings: Number, Algebra, Ratio, Proportion and rates of change, Geometry and measures, Probability and Statistics.The qualification will be graded and certified on a nine-grade scale from 9 to 1 using the total mark across all three papers where 9 is the highest grade.
Pupils who do not achieve a grade by the end of year 11 are allowed to take a one year course in year 12 in order to achieve this.
Resources needed: During your lessons you will need a range of basic equipment such as pens, pencils, pencil sharpener, rubber, ruler, protractor and a pair of compasses. You would also benefit from having an A4 folder. You are expected to bring a scientific calculator to all lessons.
KS5
Course requirements: Grade 6 in the new 9-1 GCSE exams or above at the Higher Tier.
Mathematics AS/A2 Level is very successful and graphic calculators are used as a teaching resource within the department. Mathematics is a very popular and successful A Level choice (4 groups) and our former students have achieved excellent degree results at University.
Course outline: AS/A2 Level Edexcel
At AS/A2 Level we study the Edexcel specification.
As well as a liking for solving problems and enthusiasm for the subject you will need a folder, USB memory stick and other general day to day equipment.
Students are provided with digital copies of textbooks and past exam papers for their revision. For past papers we ask for a nominal charge for the year for which we will provide papers and solution for units.
In year 12 as part of the AS course the modules we currently cover are Core 1 (C1), Core 2 (C2) and Statistics 1 (S1). The C1, C2 and S1 exams are examined in the summer term. In year 13 we cover Core 3 (C3), Core 4 (C4) and Mechanics 1 (M1)/ Statistics 2 (S2). C3, C4, M1 and S2 exams are examined in the summer term. In addition, GATE students are given the opportunity and support to study for Further Maths.
Student progress is monitored through regular homework tasks and monthly progress tests. Student absences from lesson are reported to parents through group texts.
Resources needed: During your lessons you will need a range of basic equipment such as pens, pencils, pencil sharpener, rubber and a ruler. You would also benefit from having an A4 folder. You are expected to bring a scientific calculator to all lessons.
This course is suitable for anyone interested in a career in "mathematics". This includes Engineering, Architecture, Medicine, Meteorology, Sport Science and Teaching.
Clubs & Activities
In mathematics there are a number of competitions organised from time to time like the UKMT which is a national problem solving competition for year 7 to year 13. We also take part in the Nat West Trophy which is a competition against other schools in London.
For those interested in the business studies, we have taken part in the national Shares4Schools competition and have twice previously been runners up. | 677.169 | 1 |
Links
DO the math, DON'T overpay. We make high quality, low-cost math resources a reality.
Wednesday, August 23, 2017
Back to School Math Courses Review Guide
Oh no, back to school is right around the corner!
We know it can be hard to jump straight back into Math classes during the first few days after a summer away. Lucky for you we have arranged some of of our Youtube channel videos into a helpful guide to make sure you are on your game in the first week of class. Check them out below!
Trig Functions:
If you're starting the year off with any Mathematics class it is a good idea to review the basics of Trigonometric functions. Trigonometry is used in higher level Mathematics classes as well as Physics courses. Unless you dream about the unit circle and trig identities, you are probably like us and have forgotten everything to do with sine, cosine and everything in between. Check out our playlist below. We cover an introduction to radians, inverse trig functions, a quick way to memorize the unit circle and much more!
AP Calculus and Calculus I:
Both AP Calculus in high school and Calculus I in college focus mostly on differentiation. Rules for taking the derivative are important to get a good handle on now, since they are frequently used in Calculus classes and higher level Mathematics courses. This playlist gives a straightforward guide on differentiation rules and is meant to be a good starting point for AP Calculus, Calculus I, and a review for Calculus II students. We cover the power rule, product rule, quotient rule, chain rule as well as derivatives of exponents, logarithms and trigonometric functions.
Calculus II:
Calculus II builds off what you learned in Calculus I, so if you still need a little review on derivates check out the playlist highlighted above. If you are already an expert on differentiation, the next step is to master anti-differentiation. We think derivatives and Integrals are best combination, and hope you do too. Check out the playlist below to review basic anti-differentiation, definite integrals, u-substitution and differentiation by parts.
Calculus III:
If you are starting off the school year with Calculus III, it is a good idea to quickly review the derivative and integration playlists above as a reminder. Calculus III takes these ideas and expands them into multi-variable space. If you are already a pro at derivates and integrals in two dimensions, it is much easier to understand when the concepts move into more dimensions. Vectors are also a big part of Calculus III, they seem straightforward enough, but can trip up even the most seasoned Mathematician. Check out our playlist below introducing the basics of vector addition, scalar multiplication, unit vectors, magnitude, dot product and vectors in 2D and 3D space.
If you are taking another Mathematics course this year, chances are we have a video covering the basics of that class as well. Check out the other options we have below, they are great for review before or during the course.
College Algebra:
This playlist has videos on number classification, sets and subsets, functions, domain, codomain, and range and irrationality of the square root of two.
Probability and Statistics:
This playlist has videos on definitions and elementary examples, "or" and "and" probability, Binomial, Normal distribution and Z-scores, Hypothesis Testing and P-values, and much more.
Linear Algebra:
This playlist has videos on systems of linear equations, RREF and rank, transformations, subspace, Gram-Schmidt process, QR factorization, and much more.
Differential Equations:
This playlist has videos on separable equation, mixing problems, first order linear equations, second order homogenous and non homogeneous equations, Laplace transforms, shifting theorems and much more.
Group Theory:
This playlist has videos on groups and subgroups, group homomorphisms and isomorphisms, Normal subgroups and quotient groups, cyclic groups and finite groups, and automorphism groups and modular arithmetic.
Thanks for checking out our videos and feel free to watch more and take a look at our textbook products! The Center of Math hopes you have a great upcoming school year, we know you are going to rock it in your Mathematics courses! | 677.169 | 1 |
Mathematical Handbook
Mathematics is the basic tool for scientific analysis of everything in the real world. The aim of this book is to offer precise, reliable, highly organized, and easily accessible information about mathematical definitions, properties, formulas, and methods for a wide range of topics.
More generally, this Mathematical Handbook is a portal of reference in mathematics. In the 340 pages of part A, this handbook covers algebra, trigonometry, geometry, calculus, series, Fourier series, vector analysis, probability and statistics, and other areas of mathematics. In part B, a summary is presented in 80 pages, with an emphasis of basic material.
About 500 icons connect part A to part C, which is accessible through the Internet. A total of more than 1000 pages of mathematical knowledge are available to the user. More extensions are given in part D. The whole book is designed to be a helpful lifetime companion for anyone who uses mathematics; a student, a professional, or an occasional user. It is an expanding "Alive Book". | 677.169 | 1 |
Description
An undergraduate textbook devoted exclusively to relationships between mathematics and art, Viewpoints is ideally suited for math-for-liberal-arts courses and mathematics courses for fine arts majors. The textbook contains a wide variety of classroom-tested activities and problems, a series of essays by contemporary artists written especially for the book, and a plethora of pedagogical and learning opportunities for instructors and students.
Viewpoints focuses on two mathematical areas: perspective related to drawing man-made forms and fractal geometry related to drawing natural forms. Investigating facets of the three-dimensional world in order to understand mathematical concepts behind the art, the textbook explores art topics including comic, anamorphic, and classical art, as well as photography, while presenting such mathematical ideas as proportion, ratio, self-similarity, exponents, and logarithms. Straightforward problems and rewarding solutions empower students to make accurate, sophisticated drawings. Personal essays and short biographies by contemporary artists are interspersed between chapters and are accompanied by images of their work. These fine artists--who include mathematicians and scientists--examine how mathematics influences their art. Accessible to students of all levels, Viewpoints encourages experimentation and collaboration, and captures the essence of artistic and mathematical creation and discovery.
Classroom-tested activities and problem solving
Accessible problems that move beyond regular art school curriculum
Multiple solutions of varying difficulty and applicability
Appropriate for students of all mathematics and art levels
Original and exclusive essays by contemporary artists
Forthcoming: Instructor's manual (available only to teachers)
About the authors
Marc Frantz holds a BFA in painting from the Herron School of Art and an MS in mathematics from Purdue University. He teaches mathematics at Indiana University, Bloomington where he is a research associate. Annalisa Crannell is professor of mathematics at Franklin & Marshall College. She is the coauthor of Writing Projects for Mathematics Courses.
SimilarMaster perspective like the pros! Vanishing Point shows you how to conquer the fundamentals of perspective drawing and then equips you with technical tricks and tools that make dynamic and complex scenes a snap. This complete guide helps you build your understanding of perspective to an intuitive level so you can draw anything you can imagine. Inside you'll find:Complete instruction on drawing in one-, two- and three-point perspective and four- and five-point curvilinear perspective (where "straight" lines are drawn as curves). Curvilinear perspective has not been taught in any other perspective book - until now!Full-color, step-by-step demonstrations move you beyond the theories and let you practice the techniques in real scenes.A special chapter on drawing curves helps you break out of the box and draw cylinders, ellipses, cars and, most importantly, people in perfect perspective.Shortcuts and tips show you how to create believable perspective in no time flat.No matter what your skill level, Vanishing Point offers you a new way of looking at perspective and lets you draw as though you have decades of drawing experience - even if you don't. You'll learn everything you need to know to pour your imagination on the page with power and confidence.
Molecules, galaxies, art galleries, sculptures, viruses, crystals, architecture, and more: Shaping Space—Exploring Polyhedra in Nature, Art, and the Geometrical Imagination is an exuberant survey of polyhedra and at the same time a hands-on, mind-boggling introduction to one of the oldest and most fascinating branches of mathematics.
Some of the world's leading geometers present a treasury of ideas, history, and culture to make the beauty of polyhedra accessible to students, teachers, polyhedra hobbyists, and professionals such as architects and designers, painters and sculptors, biologists and chemists, crystallographers, physicists and earth scientists, engineers and model builders, mathematicians and computer scientists.
The creative chapters by more than 25 authors explore almost every imaginable side of polyhedra. From the beauty of natural forms to the monumental constructions made by man, there is something to fascinate every reader. The book is dedicated to the memory of the legendary geometer H. S. M. Coxeter and the multifaceted design scientist Arthur L. LoebPerspective, the author tells us, is easy; yet surprisingly few artists are aware of the simple rules that make it so. This easy-to-follow book — the first devoted entirely to clarifying the laws of perspective — remedies the situation. In it, the author uses over 250 simple line drawings to illustrate the concepts involved. Beginning with clear, concise, immediately applicable discussions of the horizon, vanishing point, and the crucial relationship of eye level to perspective drawing, you'll learn how to place figures and objects in a drawing, depict interiors, create shade and shadows, and achieve all the other elements necessary for a successful perspective drawing. By repeatedly stressing important points, Mr. Norling teaches you to make them second-nature. Moreover, his approach is so simple and direct that no matter how little raw talent or experience you have, you will soon be able to apply these techniques almost instinctively. Mastery of perspective is a basic skill every artist must have. This simple, nontechnical guide will enable you to master its essentials in a relatively short time. Clear and concise, this book is an essential addition to any artist's bookshelf.
Intended for students of many different backgrounds with only a modest knowledge of mathematics, this text features self-contained chapters that can be adapted to several types of geometry courses. Only a slight acquaintance with mathematics beyond the high-school level is necessary, including some familiarity with calculus and linear algebra. This text's introductions to several branches of geometry feature topics and treatments based on memorability and relevance. The author emphasizes connections with calculus and simple mechanics, focusing on developing students' grasp of spatial relationships. Subjects include classical Euclidean material, polygonal and circle isoperimetry, conics and Pascal's theorem, geometrical optimization, geometry and trigonometry on a sphere, graphs, convexity, and elements of differential geometry of curves. Additional material may be conveniently introduced in several places, and each chapter concludes with exercises of varying degrees of difficulty. | 677.169 | 1 |
Fourier Transform
Instructor: Laszlo Erdös
Teaching Assistant: Johannes Alt
Description
Fourier transform is a fundamental tool of many areas of mathematics, including analysis, partial differential equations, probability, analytic number theory, as well as many applications (engineering, data analysis etc.). This course offers an introduction to the mathematical side of Fourier analysis where certain results will be rigorously proven, others will only be mentioned and explained in semi-rigorous fashion. It is mainly recommended for students who have encountered Fourier transform in one way or another but never had a chance to learn it somewhat properly.
Requirements/Exams
There will be a written exam during the last lecture on June 23.
Credits
3 ECTS
Final Grade
The final grade is determined by the final exam.
Schedule (subject to change)
Date
Topic
Location
Other
Contents of the lectures
Date
Content
May 3, 2016:
Motivations for Fourier series: I) Expansion, II) Solution to partial differential equations. We discussed the first point: concept and difficulties with Taylor expansion (requires smoothness, problem with convergence and sometimes even if it converges, it does not represent the "right" function). Moreover, Taylor expansion is not well suited for periodic functions. In contrast, for periodic functions it is better to use trigonometric polynomials (or standard exponential functions) as basis. Conventions about the form of the Fourier series (trigonometric or exponential; 2 pi). Advertisement: Fourier series behave much better than Taylor series.
May 10, 2016:
Today we discussed the second motivation for Fourier transform: solution of partial differential equations (PDE). Example: wave equation in 1 spatial (and 1 time) dimension. We derived the wave equation for the vibrating motion of an elastic string starting from the Newton's equation (after discretizing the string). We first looked for solutions of product form, u(x,t)= f(x) g(t), which led to ordinary differential equations. Then we realized that linearity of the wave equation allows one to construct more complicated solutions by linear combinations of factorized solutions. We discussed boundary conditions and initial conditions. The method is very general, applies to PDE's other than the wave equation, e.g. we introduced heat equation and Laplace equation. However, there are two important conditions for the applicability of the Fourier method for PDE: (i) the equation must be linear and (ii) it must have constant coefficients.
May 12, 2016:
Fourier series with complex notation, we use complex exponential on the space of periodic functions on [0, 2pi]. L^2 theory is the simplest, so we start with that. We recalled the definition of the Hilbert space, completeness, orthogonal projection. Orthonormal systems (ONS) and orthonormal basis (ONB — defined as being complete ONS). Uniqueness of basis representation in arbitrary H-space (with countable dimension). By translating the general theory to the L^2[0,2pi] with complex exponentials as ONS, we got the complete L^2-theory of Fourier series, provided that the complex exponentials form a complete ONS, i.e., they are ONB. Next time we'll prove their completeness.
May 17, 2016:
Fourier series of continuous functions, various types of convergence. For periodic continuous functions, the Fourier series is Cesaro summable in the uniform sense. The reason is that the Fejer kernel (characterizing the Cesaro sum) behaves better than the Dirichlet kernel (characterizing the partial sum alone). The Fejer kernel is nonnegative and decays faster, it behaves as an approximate delta function. For more details on the rigorous proof, see Section 1.2 of the enclosed notes .
May 19, 2016:
Detailed proof that continuous functions have uniformly Cesaro summable Fourier series, in particular we explained the good properties of the Fejer kernel standing behind the proof. Unitary isomorphism between periodic L^2 functions and their Fourier coefficients. Fourier series of a C^1 function is uniformly convergent. Decay of the Fourier coefficients of a C^k function; relations between differentiability and decay back and forth.
Fourier transform on R^d. Proof of Plancherel formula and using it to extend Fourier transform to L^2 functions isometrically. Inverse Fourier transform can be defined for any L^2 functions and thus we established that Fourier transform is 1-1 isometry, i.e. it is unitary on L^2.
June 7, 2016:
Heuristic proof of the Fourier inversion formula. Informal introduction into the theory of distributions; delta function, its derivatives, regular distributions (=functions). Every distribution is differentiable any times. Relation with linear PDE's. Distributions cannot be multiplied. Heaviside function and its derivative. Sobolev spaces in R^d. Definition of half derivative and its non-locality
June 9, 2016:
Quick introduction to basics of probability theory. Emphasis on the fact that probability theory is basically analysis on a measure space; expectation of a random variable is just integral of a function. Given this point of view, one can define the Fourier transform of a random variable (or rather: its distribution); in this context the Fourier transform is called characteristic function. We discussed basic properties of the characteristic functions, up to the Bochner theorem (continuous, positive definite functions, normalized to 1 at zero, are characteristic functions of some random variable (or probability measure))
June 14, 2016:
We discussed various types of convergence for a sequence of random variables, and introduced the concept of convergence in distribution. The latter is equivalent to the pointwise convergence of the characteristic function. We used this to prove the weak law of large numbers and the central limit theorem.
June 21, 2016:
Isoperimetric inequality via Fourier transform (for any closed curves of fixed length, the enclosed area is smaller or equal to that for the circle). I did not spell out, but the proof actually also gives that the largest area is achieved only for the circle (check it yourself). As a second application of Fourier transform, we showed that irrational rotation on the circle (i.e. the sequence of fractional parts of integer multiples of an irrational number) forms an equidistributed sequence. This holds only for irrational numbers and it clearly fails for rationals. | 677.169 | 1 |
The object of this book is to give the reader a working knowledge of elementary Trigonometry. The book contains many and varied examples to be worked out by the student. Many examples illustrate the use of Trigonometry in Mechanics, Physics and Analytical Geometry. ?easurements of angles ?rigonometrical function ?he use of four figure tables of natural functions ?unctions of angles greater than right angle ?elations between the sides and angles of a triangle ?rojection and formulae of for compound angles ?ogarithms ?olutions of triangles circumscribed inscribed and escribed circles ?adian or circular measure of angles ?ngles which are not on one plane, trigonometrical surveying
Publisher: London : E. Arnold Publication date: 1906 Subjects: Trigonometry text refers to an alternate paperback edition. | 677.169 | 1 |
Course Descriptions and Syllabi
Middle Level Only
MTE 548 Quantitative Reasoning - Elementary concepts of sets, numeration systems, number theory, and properties of the natural numbers, integers, rational, and real number systems with an emphasis on problem solving and critical thinking. Special attention will be given to implementation of number concepts into the elementary and middle school classrooms.
MTE 550 Conceptual Geometry - Concepts of Euclidean geometry with emphasis on deductive and inductive reasoning, discovery and justification, congruence and similarity, and creative thinking about quantitative, spatial, and logical situations. Special attention will be given to the implementation of geometry and measurement into the elementary and middle school curricula.
MTE 552 Patterns and Reasoning - Applications of critical reasoning skills to topics that include numbers and operations, relations and functions, patterns and recursion, transformations and modeling, and connections to elementary and middle school mathematics. Students will be required to have a graphics calculator.
MTE 554 Conceptual Algebra - Real and complex numbers, field properties, patterns, relations, and functions, solutions to equations and inequalities, and sequences and series. Special attention will be given to the implementation of algebraic concepts into the elementary and middle level curricula. Students will be required to have a graphics calculator.
Middle and Secondary Level
MTE 562 Probability and Statistics Reasoning - Descriptive statistics, probability, random variables, binomial and normal distributions, and inferential thinking. Special attention will be given to the existence and implementation of these concepts in the middle and secondary school classroom.
MTE 555 Trigonometry - Trigonometric functions of angles, degree and radian measure, fundamental identities; common trigonometric formulas, solution of triangles; polar coordinates; inverse trigonometric functions and complex numbers. Special attention will be given to the historical development of trigonometry and to the implementation of trigonometric concepts into the middle and secondary school curricula.
MTE 570 Logic and Proof - A study of formal logic, set theory, properties of relations and functions, and the basic structure of different forms of proof. Emphasis on mathematical reasoning and communication. Special attention will be given to the implementation of these concepts into the middle and secondary school curriculum.
MTE 558 Concepts in Calculus - A survey of calculus concepts, including limits, derivatives, and integrals with emphasis on connections to patterns, rates of change, and area, as well as the development of proof by induction via the examination of patterns and limiting processes. Students will use a variety of computer software and will be required to have a graphics calculator. Special attention will be given to the implementation of these concepts into the middle and secondary curricula.
MTE 565 Survey of Analytic Geometry and Functions - A combination of topics emphasizing concepts that are important in the study of calculus. Real and complex number systems; polynomial, rational, and transcendental functions; graphing in rectangular and polar coordinates using appropriate technology; conic sections.
MTE 584 Modern Algebra and Number Theory - An introduction to the study of algebraic systems and number theory with topics to include groups, rings, fields, and properties of natural numbers. Special attention will be given to the implementation of these concepts into the middle and secondary school curricula.
MTE 560 Concepts of Geometry with Historical Perspectives - An in-depth exploration of Euclidean Geometry. Includes the historical development of geometry concepts through present-day mathematics. Emphasis is placed on the communication of mathematics and appropriate use of notation. In addition, special attention will be given to the implementation of concepts in the middle and secondary school curricula.
Seconary Level Only
MTE 566 Survey of Calculus - Limits, derivatives, and integrals of various function families, including polynomials, logarithms, exponentials, and trigonometric function. Emphasis will be placed on applications of the concepts with special attention given to the implementation to the secondary school curriculum.
MTE 580 Probability Theory and Statistical Inference - An intermediate study of the probability necessary for statistical investigations; statistical inference, including study of naturally numeric, as well as categorical data. Special attention will be given to the existence and implementation of these concepts in the secondary school classroom.
MTE 568 Advanced Calculus - Infinite series, sequences, power series, partial derivatives, multi-variable calculus using appropriate technology. Special attention will be given to the implementation of these concepts to the secondary school curriculum.
MTE 572 College Geometry Past and Present - Results from Euclidean geometry and non-Euclidean geometry analyzed in a historical context. Proofs of many famous theorems are presented from both a classical and modern perspective, including appropriate use of technology. Special attention will be given to the implementation of these concepts to the secondary school curriculum. | 677.169 | 1 |
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, Using vectors to model, introduces the topic of vectors. The subject is developed without assuming you have come across it before, but the course assumes that you have previously had a basic grounding in algebra and trigonometry, and how to use Cartesian coordinates for specifying a point in a plane.
In our everyday lives we use we use language to develop ideas and to communicate them to other people. In this free course, Mathematical language, we examine ways in which language is adapted to express mathematical ideas
Attempts to answer problems in areas as diverse as science, technology and economics involve solving simultaneous linear equations. In this free course, Vectors and conics, we look at some of the equations that represent points, lines and planes in mathematics. We explore concepts such as Euclidean space, vectors, dot products and conics. | 677.169 | 1 |
Overview
Fundamentals of Number Theory by William J. LeVeque
This excellent textbook introduces the basics of number theory, incorporating the language of abstract algebra. A knowledge of such algebraic concepts as group, ring, field, and domain is not assumed, however; all terms are defined and examples are given — making the book self-contained in this respect. The author begins with an introductory chapter on number theory and its early history. Subsequent chapters deal with unique factorization and the GCD, quadratic residues, number-theoretic functions and the distribution of primes, sums of squares, quadratic equations and quadratic fields, diophantine approximation, and more. Included are discussions of topics not always found in introductory texts: factorization and primality of large integers, p-adic numbers, algebraic number fields, Brun's theorem on twin primes, and the transcendence of e, to mention a few. Readers will find a substantial number of well-chosen problems, along with many notes and bibliographical references selected for readability and relevance. Five helpful appendixes — containing such study aids as a factor table, computer-plotted graphs, a table of indices, the Greek alphabet, and a list of symbols — and a bibliography round out this well-written text, which is directed toward undergraduate majors and beginning graduate students in mathematics. No post-calculus prerequisite is assumed. 1977 edition.
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LeVeque covers certain topics in great detail, and others can be quite vague. One must have prior knowledge on modular aritmetic in order to get started with this text. The Euclidean Algorithm is explained from origins to applicability in nearly every single proof. LeVeque's best feature is in descripitons of Rings in modulus Z and their respecive domains and their respective theorems, congruences, etc. If you are weak in this area I recommend this text for that area of Number Theory. | 677.169 | 1 |
ABSTRACT
The research was taken because the fact shows that the mathematical communication skill in Indonesia is weak. Models and approaches which are used in learning process being one of the factors that supports the success of mathematical learning. The purpose of this study is to analyze the mathematical communication skill of students in Junior High School by using Realistic Mathematics Education with GeoGebra. This study used a quasi-experiment method. It was held in a Junior High School in Lembang, Bandung. The result of this study showed that mathematical communication of students who learned mathematics using Realistic Mathematics Education with GeoGebra are better than students who learned mathematics using Realistic Mathematics Education with no GeoGebra. The result also indicated that there are positive responses from students toward Realistic Mathematics Education with GeoGebra.
International Association for the Evaluation of Educational Achievement, Trends in International Mathematics and Science Study [TIMSS]. (2007). Average mathematics scores of fourth- and eighth-grade students, by country: 2007. [Online]. Tersedia: [3 Maret 2012] | 677.169 | 1 |
Limits Lesson + Examples + Practice
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This document provides you with excellent lesson resources with numerous explained step-by-step examples along with a 43-question problem set for skills practice. It also explains the concept of the limit as the definition of the derivative. | 677.169 | 1 |
A practical application of the principles of geometry to the mensuration of superficies and solids: being the third part of a course of mathematics, adapted to the method of instruction in the American colleges | 677.169 | 1 |
This text is aimed at the abstract or modern al82)gebra course taken by junior and senior math
majors and many secondary math education majors. A mid-level approach, this text features clear
prose, an intuitive approach, and exercises organized around specific concepts. New to this edition
are additional applications exercises to improve student learning. Accessible but rigorous, this
outstanding text encompasses all of the topics covered by a typical course in elementary abstract
algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions
followed by thematically arranged exercises. This second edition features additional exercises to
improve student familiarity with applications | 677.169 | 1 |
Mathematics is vital for an understanding of computer graphics. This volume helps the reader gain such an understanding by presenting all introductory and most advanced topics in the field of computer graphics with mathematical descriptions and derivations. Offering a balance of theory, applications, and code, the underlying numerical methods and algorithms are derived and a large number of examples are given. The book begins with a discussion of basic graphics tools such as vectors, matrices, and quaternions, and then builds up to more advanced topics such as the intersection of three-dimensional objects. Both classical and newer topics, such as parameterization, wavelets, fractals, and geometry images, are covered. In particular, the book contains all of the classes in C# necessary for computer graphics, providing a full explanation of the C# code and C# implementations for almost all algorithms.
Reviews - What do customers think about Mathematical Tools In Computer Graphics With C# Implementations?
Very good! Jan 10, 2009
Very good but not for the faint of heart. You better know some math first. But let that not frighten you. All is well written and explained in a clear way. The dot and cross products for vectors for instance are explained without the usual geometric figures, probably to leave place for a bunch of other more interesting ones! Lots of code examples. The only minor point: you can download them from a site, but on my system they come in one long line, so I had to do some editing | 677.169 | 1 |
Math AMC/AIME/USA(J)MO
The American Mathematics Competitions (AMC) consist of a series of national contests. The AMC competitions are
AMC 8 — for students grades 8 and under, held in November.
AMC 10 — for students grades 10 and under, held in February.
AMC 12 — for students grades 12 and under, held in February.
American Invitational Mathematics Examination (AIME) — high AMC 10/12 scorers, held in March.
United States of America (Junior) Mathematics Olympiad (USA(J)MO) — high AIME and AMC 10/12 scorers, held in April.
The top students on USAMO are invited to attend the Mathematical Olympiad Summer Program (MOSP), a three-to-four week intensive summer program which prepares students for possible participation on the team that will represent the USA at the International Mathematical Olympiad (IMO), a two day math competition held each summer.
Instructor Information
Dr.Y holds a MS degree in Physics from University of New York at Buffalo and a PhD in Biology from Rutgers. This genius young teacher won first place in the Chinese Physics Olympiad (CPhO) and second place in the Chinese Mathematical Olympiad (CMO) when he was in high school. On top of those amazing honors, Dr. Y has 15 years of teaching experience across all levels of students and has developed his own teaching methods and course material which he gives out to his students. You think you are not a math and physics genius? Well, Dr. Y will make you one. A less than stellar student can become the top of his/her class which is a common theme when you take Dr. Y's course. For students entering math competitions 99% pass AMC10/12 and move on to enter AIME, and for students entering physics competition Dr. Y will help you successfully pass the first round. For those top talented students, Dr. Y will help transition you to the U.S. Olympiad Team where he has a track record of success. A gifted teacher has a genius way to make you become a genius. Why wait, please register for Dr. Y's competition classes and become a rising star.
Teaching Philosophy
Dr. Y will not immerse the students with endless exercises. His approach is to teach the students to analyze the problem logically, to understand why the problem is created, and to grasp the concept solidly. It is his belief that if you keep a critical mind and think "why" in the learning process, no problem cannot be solved.
Course Information
Three level of courses are offered.
Competitive Math I
This course is for the students from 4th grade to 7th grade who have no prior exposure to Math contest and who are interested in trying out the contest. The students should already maintain good grades with their school math curriculums and have knowledge of pre-algebra. This course will prepare the students for AMC8/Math Count and more advanced level of Competitive Math program, improve the grades at school, and build the confidence.
Competitive Math II
This course is for the students from 5th grade to 11th grade who have exposure to math contests or who have strong think and reason ability. It is for the students who desire to challenge themselves with more difficult math contests and to strengthen their math capabilities. With the guidance of the gifted teacher, this course helps the students perform well in AMC10 or AMC12 and qualify for AIME.
Competitive Math III
This course is for the advanced students from 5th grade to 11th grade who qualify or almost qualify for AIME or have equal level of knowledge. With the guidance of the gifted teacher, this course helps the students perform well in AMC10/AMC12 and AIME exam and qualify for USAJMO/USAMO.
For very talented students who qualify or almost qualify for USAJMO/USAMO, a special Competitive Math IV program will be customized based on knowledge level of each individual student and prepare the students to perform well in USAJMO/USAMO.
Pre-Requisite
The Olympiads provide the opportunity for young people to discover and maximize their potential in Math and Physics. Our gifted teacher has over 20 years' involvement both as a contestant and as an instructor. These courses are designed for the students who have a bright mind with the high ability to think and reason, who have a love for learning, and who are excited by the challenge of the Olympiads. If you see any of these in you, our teacher will guide and inspire you through this challenging and rewarding learning process and help you succeed. | 677.169 | 1 |
Meet the AuthorsFeatures
Skill Sharpener exercises appear after each section so the user can test their abilities prior to moving on to the next section
Math in the Real World � In their own words, health care professionals relate to students, the importance of math in health care professions
Post-Tests at the end of each chapter allow the user to check comprehension of chapter material
Clearly-stated objectives � Each chapter includes a listing of objectives. Each objective is then listed as a primary heading with an explanation of each immediately following.
Health care applications � While the fundamentals of mathematics are foundational to this book, their application to health care is emphasized. Drug dosages, intake and output, weights and measures, temperatures, IV drip rates, and conversions are emphasized and illustrations of syringes, prescriptions, medication labels, IV bags, and I and O charts allow the student to practice real-life health care skills requiring mathematics.
Complete learning package � This book serves as the foundation of a complete mathematics learning package for health care learners. Other components of the system include a quick review manual, a student workbook, and an instructor manual | 677.169 | 1 |
Prealgebra
ISBN-10: 0073384437
ISBN-13: 9780073384436realgebra, by Baratto, Bergman, and Hutchison is part of the latest offerings in the successful Hutchison Series in Mathematics. The book is designed for a one-semester course in basic math and is appropriate for lecture, learning center, laboratory, and self-paced settings. The ninth edition continues the series' hallmark approach of encouraging mastery of mathematics through careful practice. The text provides detailed, straightforward explanations and accessible pedagogy to help students grow their math skills from the ground up. The authors use a three-pronged approach of communication, pattern recognition, and problem solving to present concepts understandably, stimulate critical-thinking skills, and stress reading and communication skills in order to help students become effective problem-solvers. Features such as Tips for Student Success, Check Yourself exercises, and Activities underscore this approach and the underlying philosophy of mastering math through practice. Exercise sets have been significantly expanded and are now better-organized, and applications are now more thoroughly integrated throughout the text. The text is fully-integrated with McGraw-Hill's online learning system, Connect Math Hosted by ALEKS Corp, and is available with ALEKS 360 | 677.169 | 1 |
Algebra 2 covers several methods for solving quadratic equations, such as factoring, completing the square, and graphing. The text also introduces trigonometry and exponential functions--vital concepts for real world applications. Filled with full-color illustrations and examples throughout, Algebra 2 will motivate your child to learn. Overall, this high-interest text makes it easy for you to engage students in Algebra.
Book Description Holt Rinehart & Winston, 2001. Book Condition: Good. Workbook. Former Library book. Shows some signs of wear, and may have some markings on the inside. Bookseller Inventory # GRP84643257
Book Description HOLT, RINEHART AND WINSTON. Paperback. Book Condition: GOOD. Good clean copy with no missing pages might be an ex library copy; Possibly may have minor marginal notes and or highlighting. Bookseller Inventory # 2803741351
Book Description HOLT, RINEHART AND WINSTON. Paperback. Book Condition: GOOD. book was well loved but cared for. Possible ex-library copy with all the usual markings and stickers. Some light textual notes, highlighting and underling. Bookseller Inventory # 28119308696B3UPR | 677.169 | 1 |
Maths Worksheets And Answers Gcse - epsoft.co.uk
Browse and Read Maths Worksheets And Answers Gcse Maths Worksheets And Answers Gcse Preparing the books to read every day is enjoyable for many people.
epsoft.co.uk/maths/worksheets/maths_worksheets_and_answers_gcse.pdf ...
The Higher Worksheets eBook - Ernest Bevin College
2015 GCSE Syllabus Worksheets Clicking on something like this will take you to the Grade 4 clip numbers and titles. ... The Higher Worksheets eBook
...
GCSE subject content and assessment objectives - gov.uk
3 Introduction GCSE subject criteria set out the knowledge, understanding, skills and assessment objectives common to all GCSE specifications in a given subject | 677.169 | 1 |
Description
Experience mathematics--and develop problem-solving skills that will benefit you throughout your life--with THE NATURE OF MATHEMATICS and its accompanying online learning tools. Karl Smith introduces you to proven problem-solving techniques and shows you how to use these techniques to solve unfamiliar problems. You'll also find coverage of interesting historical topics, and practical applications to settings and situations that you encounter in your day-to-day world, such as finance (amortization, installment buying, annuities) and voting. With this book's guidance, you'll both understand mathematical concepts and master the techniques.show more
About Karl Smith
Karl Smith is professor emeritus at Santa Rosa Junior College in Santa Rosa, California. He has written over 36 mathematics textbooks and believes that students can learn mathematics if it is presented to them through the use of concrete examples designed to develop original thinking, abstraction, and problem-solving skills. Over one million students have learned mathematics from Karl Smith's textbooks.show more
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5 Key Takeaways on the Road to Dominating Resources
How to Make Algebra Easy Algebra is a branch of mathematics. Our day to day life variable activities is dealt with Algebra. Algebra comes directly after learning the mathematics arithmetic. What are variable activities? something that keeps changing I called a variable. Changes can be left or right, east or west and up or down. The weight of a person keeps on changing from low to high or from high to low making weight an active variable. Due to the motion of the Earth around the Sun, the sun is always changing its position from east to west. Every single time, share market keeps getting higher and lower. The salaries of employees keep changing according to the number of hours they have worked. The 10 Best Resources For Education
It can also be said that Algebra Is the study of events that keep on varying with time. There are countless of applications of Algebra in our day to day lives. 3 Education Tips from Someone With Experience
Elementary concepts needed to be taught before starting Algebra. Elementary multiplication, addition subtraction and divisions. Times tables at least from 1 to 10. Have the knowledge of drafting the entire factor of numbers, finding the greatest common factor (GFC )and the least common multiple (LCM). Units. Numerals. Order of operations. The fourth grade is the stage where multiplication s introduced to many students. After beginning, the learning of multiplication students should learn about multiples. After learning multiples and being comfortable with it, students should be able to know where and how to apply the multiples in mathematics. When the students get to be familiar with multiples, their core competencies of math are enhanced and can be able to predict times of two numbers properly without delaying. Primary topics learned in Algebra. Knowledge about variables. have the ability to pinpoint coefficients and constants. Writing Algebraic expressions. basic linear calculations in one variable. Factorization, rational expression. series and sequences patterns. Is Algebra hard? Algebra is not somewhat simple. You can take it a challenging course. There is the use of extremely general terms in Algebra. When we talk of general terms it means, for example, there are characteristics that distinguish a person in a place full of people. Algebra has some procedures to be followed. It should be easy to understand Algebra if this regulation is followed. In the elementary theory of numbers, finding the greatest common factor that divides two or more numbers without leaving a remainder is an important thing. Finding factors are introduced to students in the fifth grade although some schools introduce it during the late fourth grade. The key to learning factoring is to know prime and composite numbers. | 677.169 | 1 |
Let's face it. Math textbooks are not published out of the goodness of people's hearts. They're published because most of the people who write them will get fired from their jobs as college professors if they don't publish a textbook every now and then. This book, however, is an exception. Mike Kelley, bestselling author of The Complete Idiot's Guide to Calculus, has taken what appears to be a typical calculus workbook, chock full of solved calculus problems, and made notes in the margins adding missing steps and simplifying concepts and solutions so that what could be baffling to students is made perfectly clear. It's as if your best friend-who just happens to be a calculus wiz and who's painfully aware of your mathematical shortcomings-got a hold of your calculus workbook and went bananas with his ink pen, illuminating everything you find confusing! He was even kind enough to write legibly! No longer will befuddled students cry out in frustration: "Where the %#*! did that number come from?" or "Did they skip steps in this answer or am I just dumb?".
When the numbers just don't add up... Following in the footsteps of the successful The Humongous Books of Calculus Problems, bestselling author Michael Kelley has taken a typical algebra workbook, and made notes in the margins, adding missing steps and simplifying concepts and solutions. Students will learn how to interpret and solve 1000 problems as they are typically presented in algebra courses-and become prepared to solve those problems that were never discussed in class but always seem to find their way onto exams. Annotations throughout the text clarify each problem and fill in missing steps needed to reach the solution, making this book like no other algebra workbook on the market.
Following the successful, 'The Humongous Books', in calculus and algebra, bestselling author Mike Kelley takes a typical statistics workbook, full of solved problems, and writes notes in the margins, adding missing steps and simplifying concepts and solutions. By learning how to interpret and solve problems as they are presented in statistics courses, students prepare to solve those difficult problems that were never discussed in class but are always on exams. - With annotated notes and explanations of missing steps throughout, like no other statistics workbook on the market - An award-winning former math teacher whose website (calculus-help.com) reaches thousands every month, providing exposure for all his books
Most math and science study guides are a reflection of the college professors who write them-dry, difficult, and pretentious. The Humongous Book of Trigonometry Problems is the exception. Author Mike Kelley has taken what appears to be a typical t
An ingenious problem-solving solution for befuddled math students. A bestselling math book author takes what appears to be a typical geometry workbook, full of solved problems, and makes notes in the margins adding missing steps and simplifying concepts so that otherwise baffling solutions are made perfectly clear. By learning how to interpret and solve problems as they are presented in courses, students become fully prepared to solve any obscure problem. No more solving by trial and error! - Includes 1000 problems and solutions - Annotations throughout the text clarify each problem and fill in missing steps needed to reach the solution, making this book like no other geometry workbook on the market - The previous two books in the series on calculus and algebra sell very well
The Humongous Books are typically 464 pages and contain 650 to 1,000 completed problems. They are designed to look like textbooks with problems and answers that have had handwritten notes added by a mentor, peer, or previous student who clarified the process, formula, and steps that went into solving the problem. The Humongous Book of SAT Math Problems takes a typical SAT study guide of solved math problems and provides easy-to-follow margin notes that add missing steps and simplify the solutions, thereby preparing students to solve all types of problems that appear in both levels of the SAT math exam.
Written by three gifted-and funny-teachers, How to Ace Calculus provides humorous and readable explanations of the key topics of calculus without the technical details and fine print that would be found in a more formal text. Capturing the tone of students exchanging ideas among themselves, this unique guide also explains how calculus is taught, how to get the best teachers, what to study, and what is likely to be on exams-all the tricks of the trade that will make learning the material of first-semester calculus a piece of cake. Funny, irreverent, and flexible, How to Ace Calculus shows why learning calculus can be not only a mind-expanding experience but also fantastic fun.
Practice makes perfect—and helps deepen your understanding of calculus 1001 Calculus Practice Problems For Dummies takes you beyond the instruction and guidance offered in Calculus For Dummies, giving you 1001 opportunities to practice solving problems from the major topics in your calculus course. Plus, an online component provides you with a collection of calculus problems presented in multiple-choice format to further help you test your skills as you go. Gives you a chance to practice and reinforce the skills you learn in your calculus course Helps you refine your understanding of calculus Practice problems with answer explanations that detail every step of every problem The practice problems in 1001 Calculus Practice Problems For Dummies range in areas of difficulty and style, providing you with the practice help you need to score high at exam time. Even as he initiates us into the mysteries of real numbers, functions, and limits, Berlinski explores the furthest implications of his subject, revealing how the calculus reconciles the precision of numbers with the fluidity of the changing universe. "An odd and tantalizing book by a writer who takes immense pleasure in this great mathematical tool, and tries to create it in others."--New York Times Book Review From the Trade Paperback edition.
For many students, calculus can be the most mystifying and frustrating course they will ever take. The Calculus Lifesaver provides students with the essential tools they need not only to learn calculus, but to excel at it. All of the material in this user-friendly study guide has been proven to get results. The book arose from Adrian Banner's popular calculus review course at Princeton University, which he developed especially for students who are motivated to earn A's but get only average grades on exams. The complete course will be available for free on the Web in a series of videotaped lectures. This study guide works as a supplement to any single-variable calculus course or textbook. Coupled with a selection of exercises, the book can also be used as a textbook in its own right. The style is informal, non-intimidating, and even entertaining, without sacrificing comprehensiveness. The author elaborates standard course material with scores of detailed examples that treat the reader to an "inner monologue"--the train of thought students should be following in order to solve the problem--providing the necessary reasoning as well as the solution. The book's emphasis is on building problem-solving skills. Examples range from easy to difficult and illustrate the in-depth presentation of theory. The Calculus Lifesaver combines ease of use and readability with the depth of content and mathematical rigor of the best calculus textbooks. It is an indispensable volume for any student seeking to master calculus. Serves as a companion to any single-variable calculus textbook Informal, entertaining, and not intimidating Informative videos that follow the book--a full forty-eight hours of Banner's Princeton calculus-review course--is available at Adrian Banner lectures More than 475 examples (ranging from easy to hard) provide step-by-step reasoning Theorems and methods justified and connections made to actual practice Difficult topics such as improper integrals and infinite series covered in detail Tried and tested by students taking freshman calculus
This is a collection of my Calculus II midterm exam problems. The solutions are written by me using methods taught during lecture. For further explanation as to the why behind the methods, please see CalcCoach.com. There you will find my lecture notes, lecture videos, and premium problem solution videos explaining in detail the thought process involved in solving 100 different problems. If your goal is to gain a good understanding of the topics typically found in a Calculus II class, then the combination of this workbook and the other three components found on CalcCoach.com should help tremendously. | 677.169 | 1 |
As Level Biology Coursework Examples
Writing a part GCSE Maths coursework you should be able to do calculations and comment on achieved results.When you want to create a perfect maths coursework Mayfield, you should use a certain plan, which can organize your actions.Our expert math tutors provide tutoring for every subject and skill level.How to benefit from a maths coursework help avoiding the troubles that students encounter and how not to go astray as a result of the variety of modern mathematical.If you need to prepare this paper, Maths coursework help is just up to the point.
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Get quick and affordable college tutoring or college homework help from our team of professional tutors.Coursework. Ph.D. students must complete 11 one-semester graduate subjects (132 credit hours), exclusive of thesis, with grades of A or B.
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Mathematics 2 Mathematics. and it is always helpful to seek the assistance of someone in a higher level of math. over homework di erently.
Tailored to Edexcel exam board but applicable to most A-level examinations.Maths revision videos from ExamSolutions making maths easy and helping to raise your standard and give you confidence.
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Hi I am looking for some help and ideas for our Sixth Form Open Evening which is next week.Math Goodies is a math portal brimming with interactive lessons, worksheets, crossword puzzles, and a homework help forum where you can post. | 677.169 | 1 |
Ravi P. Agarwal
Language: English
Pages: 410
ISBN: 0387791450
Format: PDF / Kindle (mobi) / ePub
In this undergraduate/graduate textbook, the authors introduce ODEs and PDEs through 50 class-tested lectures. Mathematical concepts are explained with clarity and rigor, using fully worked-out examples and helpful illustrations. Exercises are provided at the end of each chapter for practice. The treatment of ODEs is developed in conjunction with PDEs and is aimed mainly towards applications. The book covers important applications-oriented topics such as solutions of ODEs in form of power series, special functions, Bessel functions, hypergeometric functions, orthogonal functions and polynomials, Legendre, Chebyshev, Hermite, and Laguerre polynomials, theory of Fourier series.
Undergraduate and graduate students in mathematics, physics and engineering will benefit from this book. The book assumes familiarity with calculus.
distribution of rectangular and circular plates in the transient state. Again using the method of separation of variables, in Lecture 37 we find vertical displacements of thin membranes occupying rectangular and circular regions. The three-dimensional Laplace equation occurs in problems such as gravitation, steady-state temperature, electrostatic potential, magnetostatics, fluid flow, and so on. In Lecture 38 we find the Fourier series solution of the Laplace equation in a three-dimensional box
= 0 is a singular point, but every other point is an ordinary point. A singular point x0 at which the functions p(x) = (x − x0 )p1 (x) and q(x) = (x − x0 )2 p2 (x) are analytic is called a regular singular point of the DE (2.1). Thus, a second-order DE with a regular singular point x0 has the form p(x) q(x) y ′′ + y′ + y = 0, (3.10) (x − x0 ) (x − x0 )2 where the functions p(x) and q(x) are analytic at x = x0 . Hence, in Example 3.3 the point x0 = 0 is a regular singular point. If a singular | 677.169 | 1 |
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NSW Targeting Maths Student Book : Year 3. This book is fully cross-referenced to theYear 3 Targeting Maths App. New features of the program include by Garda Turner. Title: NSW Targeting Maths Student Book : Year 3.
The Australian Curriculum Edition Targeting Maths Year 4 Student Book has been specifically written to meet the Australian Curriculum requirements of primary school Year 4. Features of the Targeting Maths program include.
NSW Targeting Maths Student Book : Year 2. When we decided to produce a new edition of the already successful Targeting Maths series we asked hundreds of teachers what they wanted to see in a maths program.
Targeting Maths Prep Student Book is designed to supplement the early mathematics teaching program, by providing pictorial mathematic activities. The activities are devised around the five major strands of the Queensland Mathematic Syllabus with links to the Level 1 Outcomes of the Syllabus noted at the bottom of each page.
Excel Smartstudy Yr 7 Maths. by Allyn Jones. This book serves as a structured revision program for all students undertaking Year 7 Mathematics. It has been designed to help students revise for class tests, half-yearly and end-of-year exams.
Maths Box Aqua (Years 5 to 6/7). Maths Box Aqua has been developed toprovide meaningful strategy and problem-solving support that will engage the children in many real-life situations across all strands of the Australian Curriculum.
Nelson Senior Maths : General Year 12. The chapters are well structured and are broken into lesson-sized sections to best assist the development of student understanding. Title: Nelson Senior Maths : General Year 12.
Maths Quest 10 10A Maths Quest 10 10A for the Australian Curriculum provides students with essential mathematical skills and knowledge through the content strands of Number and Algebra, Measurement and Geometry, and Statistics and Probability.
The Maths Box - Year 3 covers all of the mathematics strands and sub-strands for year 3. The Maths Box series fully supports the teaching and learning of Australian Curriculum Mathematics. The Maths Box - Year 3.
The Maths Box - Year 6 covers all of the mathematics strands and sub-strands for year 6. The Maths Box series fully supports the teaching and learning of Australian Curriculum Mathematics. The Maths Box - Year 6.
The Maths Box - Year 4 covers all of the mathematics strands and sub-strands for year 4. The Maths Box series fully supports the teaching and learning of Australian Curriculum Mathematics. The Maths Box - Year 4.
The Maths Box - Year 5 covers all of the mathematics strands and sub-strands for year 5. The Maths Box series fully supports the teaching and learning of Australian Curriculum Mathematics. The Maths Box - Year 5.
By Stuart Palmer. - Developed by highly experienced maths educators to reflect the NSW syllabus for the Australian Curriculum;. CambridgeMATHS NSW Syllabus for the Australian Curriculum is a complete teaching and learning program to support the implementation of the NSW Syllabus for the Australian Curriculum.
This book is fully cross-referenced to the Year 3 Targeting Maths App. Children will benefit from the combination of book-based and digital learning that this powerful learning program provides. NSW Targeting Maths Student Book : Year 4.
Families were hungry for meaningful math help-not Internet searches and hours of family frustration. The simple, visual approach ofHelp Your Kids with Math was exactly what parents needed to understand and explain the concepts children use most in grades 3 through 6.
More Maths for Mums and Dads gives you all the ammunition to help you to help your teenager get to grips with and feel more confident about -- and hopefully even enjoy -- GCSE maths. More Maths for Mums and Dads.
The Australian Curriculum Edition Targeting Maths Year 3 Student Book has been specifically written to meet the Australian Curriculum requirements of primary school Year 3. Features of the Targeting Maths program include.
This book is fully cross-referenced to the Year 3 Teaching Guide, Targeting Maths App 3, Rainforest Maths and Targeting Maths Lab, for multi-platform learning. teaching guide to support the Year 3 Targeting Maths Student Book, including answers.
Based on Australian Curriculum Mathematics, the books will provide teachers with a comprehensive approach to teaching and helping students to understand fractions. Through the proficiency strands of Understanding, Fluency, Problem-solving and Reasoning, students will experience success in the sub-strand of Fractions and decimals.
How many minutes does it take to complete a 'Maths minute'?. Students will enjoy challenging themselves as they apply their mathematical knowledge and understanding to complete a 'Maths minute' blackline masters in the fastest possible time.
Solving Maths Problems for Years 1-2 contains a series of open-ended engaging maths problems which revolve around creatively written stories. Solving Maths Problems For Years 1-2 will make a great addition to your Maths resources.
New Wave Number and Algebra (Foundation to Year 6) is a series of seven student workbooks written specifically to assist teachers to implement the Number and Algebra strand of the Australian Mathematics Curriculum.
New Wave Number and Algebra (Foundation to Year 6) is a series of seven student workbooks written specifically to assist teachers to implement the Number and Algebra strand of the Australian Mathematics Curriculum.
The Maths Box - Year 1 covers all of the mathematics strands and sub-strands for year 1. The Maths Box series fully supports the teaching and learning of Australian Curriculum Mathematics. The Maths Box - Year 1.
The Maths Box - Year 2 covers all of the mathematics strands and sub-strands for year 2. The Maths Box series fully supports the teaching and learning of Australian Curriculum Mathematics. The Maths Box - Year 2.
New Century Maths for the Australian Curriculum Years 7 10 is specifically written to meet the requirements of the NSW Mathematics 7-10 syllabus for the Australian Curriculum, to be implemented in Years 7 and 9 in NSW from 2014.
New Wave Mental workbooks will sit comfortably with any mathematics program. Supported by a weekly testing program (levels D-G), New Wave Mental Maths is the complete mental mathematics resource at the right price.
By Anthony Croft. Foundation Maths. For those whose mathematical expertise is already established, the book will be a helpful revision and reference guide. The style of the book also makes it suitable for self-study and distance learning.
Mathematical skills and concepts lie at the heart of chemistry; however, they are also often the aspects of the subject that students fear the most. Employing a modular structure, authors Paul Monk and Lindsey J. Munro present the material in short, manageable sections in order to keep the content as accessible as possible.
Maths For Kids (Years 6-8). Maths For Kids (Years 9-10). English For Kids (Years 6-10). Release your kids from the pressures of national testing and take a step back to the core skills with this new educational series, from the people who brought you the For Dummies how-to approach.
All chapters contain comprehensive fully-worked examples and explanations, as well as ample sets of graded exercises for continual revision. Maths in Focus is also available on NelsonNet. NelsonNet is your portal to the premium digital resources for Nelson student books.
Maths Quest Maths a Year 11 for Queensland 2E & eBookPLUS. These flexible and engaging ICT activities are available to you online at the JacarandaPLUS website. The second editions of this highly successful maths series have been updated to meet the requirements of the revision of Maths Year 11 syllabus for implementation from 2009.
NSW Targeting Maths Year 4 Teaching Guide Australian Curriculum Edition is a comprehensive teacher resource perfect for the Year 4 Maths syllabus. This book is fully cross-referenced to the Year 4 Targeting Maths App, Rainforest Maths and Targeting Maths Lab, for multi-platform learning.
Nelson Senior Maths Essential 12. The chapters are well-structured and are broken into lesson-sized sections to best assist the development of student understanding. Title: Nelson Senior Maths Essential 12.
New Century Maths : 12 Mathematics General 2. Klaas Bootsma was head teacher of mathematics at Ambarvale High School in Campbelltown and has taught at Lurnea and Grantham High Schools. He was a senior HSC examiner and has worked on the HSC Advice Line.
Targeting Maths for Victoria. by Garda Turner. Title: Targeting Maths for Victoria. teaching notes for other pages in the unit. two photocopiable activity cards for individual, pairs pr group work – especially useful for extension or fast finishers. | 677.169 | 1 |
Learn algebra in a day
You will need basic math skills, such as adding, subtracting, multiplying, and dividing. Review your basic math operations. Try before you commit. Adding and Subtracting Algebraic Expressions, alebra use algebra quite frequently in our everyday lives, and without even realizing it. We not only use algebra, we actually learn algebra in a day algebra,to solve most of our problems that involves calculations.Examples of using algebra in everyday lifeHere are some simple examples that demonstrate the relevance of algebra in the real world.Example 1.
lfarn You purchased 10 items from a shopping plaza, and now you need plastic bags to carry them home. Example 2. Quick AnswerIt is impossible to learn algebra in one day, but you can familiarize yourself with the basic concepts that build to everything else. Learn algebra in a day equations and inequalities are solved by isolating variables. Algebra also works with integers, or positive and negative numbers. Adding a negative number is the same as subtracting a positive learn algebra in a day, and vice versa.
Continue Reading. Full AnswerYou should also learn the notations of algebra, such as coeIf you know basic Algebrs, you can learn PRACTICAL Algebra in 20 minutes because Algebra is easy. The ability to think algebraically dy understand algebra is critical. What books would you read. What path would you take. With any learning activity - and particularly with self-directed learning - it is important always to have the objective of that learning in mind, firstly so that you can plot an efficient course towards it (thereby hopefully avoiding wasting your time on unproductive detours and irrelevant distrac on how to learn algebra fast.Algebra is a common headache for many students.
For someone who is not well grounded on the basics - addition, subtraction, multiplication, division, exponents, ratios and fractions - algebra can indeed be confusing and frustrating. However, the beauty of algebra, as it is with math, is that it is completely logical and everything has a solution. It may be puzzling but solving the puzzle can be very gratifying and fulfilling. For someone who is not well grounded on the basics - addition, subtraction, multiplicationmore, you can learn it, practice it and get better at it.
Okay I clearly care too much about teaching linear algebra:I. The Two Levels of Linear AlgebraThere are two levels of understanding linear algebra that Learn algebra in a day think are most relevant:EDIT: I just realized how easily my advice here can be misconstrued. Overall, Algebra is a useful tool in studying Math and Physics and is just one of the things you have to learn in life. You learn algebra to help with your problem solving skills. That way when you are in a situation when you need to figure out something, you can use steps, or other equations.
(MORE). I just took Pre-Algebra and I did Geometry Probability in the beginning you had to understand integers and answers for algebra 2 workbook rootsand aalgebra squares but it was more stuff. | 677.169 | 1 |
How to Watch the Videos
While everyone will watch the videos slightly differently based on their own needs, here are some general suggestions that will improve how effective they are for you. Remember that we explore the mathematical topic before the videos, and then the videos just reinforce the mathematical procedures necessary to solve problems. But, as you are watching the videos, please try to connect them back to the bigger picture we talked about in class.
First, it's important to focus on only the video while you're completing it. This is not a time for multi-tasking, so turn off your IM client, put your phone aside, turn off the television and radio, and devote a solid twenty minutes or so to the video. If you're going to do this, you might as well do it right. Find a quiet and comfortable place to watch the video, but not too comfortable. Make sure you have your notebook (and a calculator) handy to take notes, write questions you may have, and work out the self-check problems at the end.
When you actually start watching the video, I highly recommend watching it full screen (it's the icon in the lower right corner of the video window). It's much easier to see when you enlarge it to full screen. Then there are three main parts to each video: an Examples and Explanation part, a Guided Practice part, and a Self-Check part.
Examples and Explanation: Just what it sounds like. The video explains how to do the problems and works through some examples. You don't have to write anything down, just watch, listen and learn. Having said that, you may want/need to write some things down to help you learn the material. You know yourself best as a learner, so do what's going to help you learn the material. Pause the video and replay parts if you need to.
Guided Practice: The video gives you a problem, then asks you a series of questions with about five-second pauses between questions for you to think about it and answer it for yourself. If you need to, pause the video during some of those five-second pauses to give yourself more time. Again, you don't have to write anything down here (although you can and it's often a good idea to).
Self-Check: The video gives you a problem, then asks you to pause the video, write the problem down in your notebook and solve it, then play the video again to check your work. You may need to pause the video again to view the solution if you need more time to compare to your work. These problems you definitely need to write down in your notebook and then submit your answers on the Moodle (and complete the free-response summary). These problems are your chance to see how well you understand what you've just learned about. If you have trouble, go back and review parts of the video and then try the self-check problems again. Work at this until you feel like you've got it. If you are really having trouble understanding, write down what your questions are and then ask for help from me (either electronically or face-to-face at school), another a student, a family member, or a friend.
Most of the videos are between eight and ten minutes long but, if you watch them as recommended above, are likely to take you about twenty minutes if done well. Remember, you can always replay any part of the video you need to go back over something (not just when it's assigned, but later to review a topic if you need to). | 677.169 | 1 |
Math.NET aims to provide a self contained clean framework for symbolic mathematical (Computer Algebra System) and numerical/scientific computations, including a parser and support for linear algebra, complex differential analysis, system solving | 677.169 | 1 |
Linear Algebra and Differential Equations Technology Resource Manual
This book has been written for a one-semester combined linear algebra and differential equations course, yet it contains enough material for a two-term sequence in linear algebra and differential equations. By introducing matrices, determinants, and vector spaces early in the course, the authors are able to fully develop the connections between linear algebra and differential equations. The book is flexible enough to be easily adapted to fit most syllabi, including courses that cover differential equations first. Technology is fully integrated where appropriate, and the text offers fresh and relevant applications to motivate student interest | 677.169 | 1 |
G.
Let's work on basic math skills to give you a solid foundation that will prove absolutely necessary | 677.169 | 1 |
Further Mathematics
The Further Mathematics AS or A level is available to those who are studying Mathematics at A level and who wish to pursue the subject at greater depth. It is particularly valuable to those who intend to take a university course in Mathematics, Computer Sciences, Physics, Engineering or Economics. Those taking both Mathematics and Further Mathematics are taught in a separate group, completing the A level Mathematics course in the first year of the sixth form and the Further Mathematics course in the second year.
The A level Mathematics and Further Mathematics courses each comprise six modules. For Mathematics there are four compulsory Pure Mathematics modules. The two other modules taken are normally Statistics 1 and Mechanics 1.
The Further Mathematics course comprises an additional two Pure Mathematics modules and four Applied modules selected from three further Mechanics modules, two Decision Mathematics modules and three further Statistics modules. | 677.169 | 1 |
Computational Geosciences with Mathematica is the only book written by a geologist specifically to show geologists and geoscientists how to use Mathematica to formulate and solve problems. It spans a broad range of geologic and mathematical topics, which are drawn from the author's extensive experience in research, consulting, and teaching.
This dictionary includes a number of mathematical, statistical and computing terms and their definitions to assist geoscientists and provide guidance on the methods and terminology encountered in the literature. Each technical term used in the explanations can be found in the dictionary which also includes explanations of basics, such as trigonometric functions and logarithms. There are also citations from the relevant literature to show the term's first use in mathematics, statistics, etc. and its subsequent usage in geosciences. | 677.169 | 1 |
In this well-written introduction to commutative algebra, the author shows the link between commutative ring theory and algebraic geometry. In addition to standard material, the book contrasts the methods and ideology of modern abstract algebra with concrete applications in algebraic geometry and number theory. Professor Reid begins with a discussion of modules and Noetherian rings before moving on to finite extensions and the Noether normalization. Sections on the nullstellensatz and rings of fractions precede sections on primary decomposition and normal integral domains. This book is ideal for anyone seeking a primer on commutative algebra.
Showing the link between commutative ring theory and algebraic geometry, this book contrasts the methods and ideology of modern abstract algebra with concrete applications in algebraic geometry and number theory. It is ideal for anyone seeking a primer on commutative algebra.
Review:
'It gives a fresh picture of the subject for a new generation of students.' P. Scnezel, Zentralblatt fur Mathematik
'The author takes care to explain the geometric and number theoretic meaning of the algebraic methods and results presented. This makes the book perhaps more demanding, but surely much more interesting than the standard ones.' European Mathematical Society Newsletter
'Besides the usual topics ... there are some welcome geometrical illustrations, as well as some homespun philosophy.' Mathematica 2002-12247458894 | 677.169 | 1 |
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