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Basic Mathematics Skills With Geometry - 9th edition
Summary: Basic Mathematical Skills with Geometry, 9/e, 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 exp...show morelanations 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 INSTRUCTORS EDITION!!!...show more, OR ANY OTHER SUPPLEMENTS!!! ...show less
$128.050073384445 Brand New. Exact book as advertised. Delivery in 4-14 business days (not calendar days). We are not able to expedite delivery.
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01 Function Concepts -- What is a Function?
A function is neither a number nor a variable: it is a process for turning one number into another. For instance, "Double and then add 6" is a function. If you put a 4 into that function, it comes out with a 14. If you put a
1212 size 12{ { {1} over {2} } } {}
into that function, it comes out with a 7.
The traditional image of a function is a machine, with a slot on one side where numbers go in and a slot on the other side where numbers come out.
Table 1: A number goes in. A number comes out.
The function is the machine, the process that turns 4 into 14 or 5 into 16 or 100 into 206.
5→5→ size 12{5 rightarrow } {}
→16→16 size 12{ rightarrow "16"} {}
The point of this image is that the function is not the numbers, but the machine itself—the process, not the results of the process.
The primary purpose of "The Function Game" that you play on Day 1 is to get across this idea of a numerical process. In this game, one student (the "leader") is placed in the role of a function. "Whenever someone gives you a number, you double that number, add 6, and give back the result." It should be very clear, as you perform this role, that you are not modeling a number, a variable, or even a list of numbers. You are instead modeling a process—or an algorithm, or a recipe—for turning numbers into other numbers. That is what a function is.
The function game also contains some more esoteric functions: "Respond with –3 no matter what number you are given," or "Give back the lowest prime number that is greater than or equal to the number you were given." Students playing the function game often ask "Can a function do that?" The answer is always yes (with one caveat mentioned below). So another purpose of the function game is to expand your idea of what a function can do. Any process that consistently turns numbers into other numbers, is a function.
By the way—having defined the word "function" I just want to say something about the word "equation." An "equation" is when you "equate" two things—that is to say, set them equal. So
x2−3x2−3 size 12{x rSup { size 8{2} } - 3} {} is a function, but it is not an equation.
x2−3=6x2−3=6 size 12{x rSup { size 8{2} } - 3=6} {} is an equation. An "equation" always has an equal sign in it
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Precalculus - With 2 CDS - 4th edition
Summary: Bob Blitzer's background in mathematics and behavioral sciences, along with his commitment to teaching, inspired him to develop a precalculus series that gets students engaged and keeps them engaged. Presenting the full scope of mathematics is just the first step. Blitzer draws students in with applications that use math to solve real-life problems. Intermediate, and Precalculus, all published by Pearson Prentice Hall17.90 +$3.99 s/h
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CampusBookRentals Ogden, UT
Upper Saddle River, NJ 2009 Other 4th ed. Fair.
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Upper Saddle River, NJ 2009 Other 4th ed. Fair.
$30.10 +$3.99 s/h
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Big Planet Books Burbank, CA
2009-02-13 Hardcover Good Expedited shipping available!
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SellBackYourBook Aurora, IL
0321559843
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0195568451
9780195568455
Teaching Mathematics Foundations to Middle Years: Teaching Mathematics: Foundations to Middle Years connects teacher education students to the bigger picture of mathematics. It shows them how to communicate mathematically, feel positive about mathematics and their role in teaching it and to enter the classroom confident they are equipped with the practical knowledge, skills, strategies and activities to teach mathematics at any level of school.
The text contains a rich set of pedagogy to assist understanding and teaching. These include:
Vignettes at start of each part: Short stories with some exploratory questions to engage the pre-service teachers with the underlying themes and concepts of each chapter.
Big Ideas: Introduce the main concepts of the chapter and encourage mathematical thinking.
Consider and Discuss: Specific tasks/questions/activities that will get everyone involved in tutorials.
Making Connections: links the big ideas in mathematics to other disciplines, and relevant mathematical learning.
Did you know?: short historical and cultural facts that show math it in the larger context and illustrate why mathematics is viewed and taught in the way it is today.
Handy Hints: practical tips to help students prepare their lessons with confidence.
Think and link: to help students navigate their way throughout the book, drawing on information introduced in earlier chapters and then elaborated on in later chapters.
Chapter objectives, key terms, review questions to help students cement their learning.
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Rent Teaching Mathematics Foundations to Middle Years 1st edition today, or search our site for Siemon textbooks. Every textbook comes with a 21-day "Any Reason" guarantee. Published by Oxford University Press, USA.
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History of Mathematics : An Introduction - 2nd edition
Summary: One of the leading historians in the mathematics field, Victor Katz provides a world view of mathematics, balancing ancient, early modern, and modern history.
Written by one of the most well known math historians. The First Edition won the Watson Davis prize of the History of Science Society in 1995 for book on history accessible to beginners.
Chapter openers include a vignette and quotation to ...show moreadd motivation and human interest.
Boxed biographies are easily found outlines of individuals; they do not interrupt flow of main text.
Focus essays present summaries of arguments about important ideas.
Chronology of major mathematicians at chapter ends gives a quick overview of important events and people.
Problems are taken from original sources enabling readers to understand how mathematicians in various times and places solved math problems.
Discussion questions promote group work and can be used by future teachers to design lessons for elementary/secondary level math classes.
An annotated bibliography at each chapter end provides easy reference to sources for more information.
Includes a phonetic pronunciation guide in an appendix.
Up to date-uses results of very recent scholarship in the subject.
Exercises are better balanced in level of difficulty.
Offers a more global perspective. Integrates more non-Western coverage including contributions from Chinese, Indian, and Islamic mathematics/mathematicians. Also includes a chapter covering math techniques from other cultures.
Ancient Mathematics The Beginnings of Mathematics in Greece Archimedes and Apollonius Mathematical Methods in Hellenistic Times The Final Chapters of Greek Mathematics
PART II: MEDIEVAL MATHEMATICS: 500-1400
Medieval China and India The Mathematics of Islam Mathematics in Medieval Europe Mathematics Around the World
PART III: EARLY MODERN MATHEMATICS: 1400-1700
Algebra in the Renaissance Mathematical Methods in the Renaissance Geometry, Algebra, and Probability in the Seventeenth Century The Beginnings of Calculus
PART IV: MODERN MATHEMATICS: 1700-2000
Analysis in the Eighteenth Century Probability, Algebra, and Geometry in the Eighteenth Century Algebra in the Nineteenth Century Analysis in the Nineteenth Century Geometry in the Nineteenth Century Aspects of the Twentieth Century
Answers to Selected Problems General References in the History of Mathematics Index and Pronunciation Guide
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Soalan Matematik Tingkatan 4
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Video Summary: This learning video introduces students to the world of Fractal Geometry through the use of difference equations. As a prerequisite to this lesson, students would need two years of high school algebra (comfort with single ...
Video Summary: This learning video deals with a question of geometrical probability. A key idea presented is the fact that a linear equation in three dimensions produces a plane. The video focuses on random triangles that are defined by
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Essentials of College Algebra with Modeling and Visualization - 4th edition
Gary Rockswold teaches algebra in context, answering the question, &''Why am I learning this?&'' By experiencing math through applications, students see how it fits into their lives, and they become motivated to succeed. Rockswold&'s focus on conceptual understanding helps students make connections between the concepts and as a result, students see the bigger picture of math and are prepared for future courses. This streamlined text covers linear, qu...show moreadratic, nonlinear, exponential, and logarithmic functions and systems of equations and inequalities, which gets to the heart of what students need from this course. A more comprehensive college algebra text isalso15 +$3.99 s/h
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Mccool Books Denham Springs, LA
unused new hardcover Instructor edition has publisher notations "review copy not for sale" with all students content and all answers. Quicker shipper with media mail only (U.S.)tracking #
$43.40 +$3.99 s/h
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Mccool Books Denham Springs, LA
Please read description before purchase>> annotated teacher edition with publisher notation ???review copy not for sale??? on cover with all Students content and all solutions/ answers. text only no a...show moreccess code or other supplements. ship immediately - Expedited shipping available
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Introduction to Real Analysis: An Educational Approach - 09 edition
Summary: Providing a lucid and accessible introduction to the field, Introduction to Real Analysis engages readers by beginning with an AP calculus focus, and then quickly moving to the more theoretical aspects of mathematical analysis topics. Exercises and examples throughout the book range in difficulty and are both proof oriented and computational skill-building problems. This thoroughly classroom-tested book is designed to be particularly accessible and clear for future teachers of second...show moreary mathematics as well as current teachers working towards a degree in mathematics education. ...show less31 +$3.99 s/h
Good
Jaros Elverta, CA
Hardcover Good 0470371366 Good condition, cover has some wear, might have some writings.
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Mathematics A Concise History and Philosophy
9780387942803
ISBN:
0387942807
Pub Date: 1994 Publisher: Springer Verlag
Summary: This is a concise introductory textbook for a one semester course in the history and philosophy of mathematics. It is written for mathematics majors, philosophy students, history of science students and secondary school mathematics teachers. The only prerequisite is a solid command of pre-calculus mathematics. It is shorter than the standard textbooks in that area and thus more accessible to students who have trouble... coping with vast amounts of reading. Furthermore, there are many detailed explanations of the important mathematical procedures actually used by famous mathematicians, giving more mathematically talented students a greater opportunity to learn the history and philosophy by way of problem solving. Several important philosophical topics are pursued throughout the text, giving the student an opportunity to come to a full and consistent knowledge of their development. These topics include infinity, the nature of motion, and Platonism. This book offers, in fewer pages, a deep penetration into the key mathematical and philosophical aspects of the history of mathematics.
Anglin, W. S. is the author of Mathematics A Concise History and Philosophy, published 1994 under ISBN 9780387942803 and 0387942807. Three hundred thirty two Mathematics A Concise History and Philosophy textbooks are available for sale on ValoreBooks.com, sixteen used from the cheapest price of $17.03, or buy new starting at $24.94.[read more]
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Written by an experienced physicist who is active in applying computer algebra to relativistic astrophysics and education, this is the resource for mathematical methods in physics using MapleTM and MathematicaTM. Through in-depth problems from core courses in the physics curriculum, the author guides students to apply analytical and numerical techniques in mathematical physics, and present the results in interactive graphics. Around 180 simulating exercises are included to facilitate learning by examples. This book is a must-have for students of physics, electrical and mechanical engineering, materials scientists, lecturers in physics, and university libraries. * Free online MapleTM material at * Free online MathematicaTM material at * Solutions manual for lecturers available at
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Mathematical Applications in Agriculture
Summary
This book is a must in order to build a solid foundation of critical mathematical applications needed by today's agriculture professionals. It can serve equally well as a learning tool and as a reference guide. Specifically, the book teaches the math skills required to perform successfully in the areas of crop production, livestock production and agribusiness financial management. Line drawings, charts, graphs, case studies, examples, and sample problems make the concepts easy to grasp.
Table of Contents
Part 1: Mathematical Applications
Chapter 1: Mathematical Operations
Chapter 2: Measurements
Chapter 3: Special Topics
Part 2: Mathematical Applications in Crop Production
Chapter 4: Corn
Chapter 5: Wheat and Small Grains
Chapter 6: Soybeans
Chapter 7: Tobacco
Chapter 8: Cotton
Chapter 9: Peanuts
Chapter 10: Rice
Chapter 11: Horticulture
Part 3: Mathematical Applications in Livestock Production
Chapter 12: Cattle
Chapter 13: Swine
Chapter 14: Poultry
Chapter 15: Other Animals
Part 4: Mathematical Applications in Agribusiness and Financial Management
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The course provides an introduction to Mathematical Physics and training in the associated concepts and mathematical skills. The strong connections between Mathematics and Physics are highlighted within the arena of Classical Dynamics. Beginning from Newton's second law as a differential equation, key physical quantities such as energy and angular momentum are identified and defined mathematically. The role of conservation laws is underlined and contrasted with dissipative systems. Simple harmonic motion is established as a fundamental mathematical model for physical systems. Collective oscillation problems are treated and the wave equation is derived.
Galilean and Newtonian models of gravity are introduced and orbits and the Kepler problem are studied.
Or suitable performance in AM3 (MAT-2-am3) and MM3 (MAT-2-mm3). For Fast Track Students: SCE Advanced Higher or A Level Physics and Mathematics at A Grade.
Additional Costs
None 10This course is running in 2010/2011 only for those students taking resits.
Exam Information
Exam Diet
Paper Name
Hours:Minutes
Stationery Requirements
Comments
Main Exam Diet S2 (April/May)
2:00
16 sides
Resit Exam Diet (August)
2:00
16 sides
Summary of Intended Learning Outcomes
After completion of the course the student should demonstrate an ability to:
1. starting from Newton's second law as a differential equation, formulate one- and two-dimensional dynamical problems including motions under gravity, motions with resistive forces, motions with variable mass.
2. solve first and second order linear differential equations appearing in dynamical contexts; fit and interpret physical boundary and initial conditions.
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Item code: SAX-1389
The unique approach of these 9th grade homeschool lessons and teacher books has helped make Saxon Math Algebra 1 a best seller. Saxon Math Algebra 1 homeschool curriculum books 3rd Edition Answer Key and Tests includes the Answer Key book and the Test Forms book. The Answer Key provides the final answers to every problem in the student textbook plus answers to the test questions. The Test Forms book provides tests to be completed after every ten lessons in the student textbook. Saxon's 3rd edition Algebra 1 covers topics typically treated in a first-year algebra course. Step by step solutions to the problems in the book can only be found in the Solutions Manual
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This book is about the sensuous, living body without which individual knowing and learning is impossible. It is the interface between the individual and culture. Recent scholarship has moved from investigated knowing and learning as something in the mind or brain to understanding these phenomena in terms of the body (embodiment literature) or culture...
"Just as athletes stretch their muscles before every game and musicians play scales to keep their technique in tune, mathematical thinkers and problem solvers can benefit from daily warm-up exercises. Jessica Shumway has developed a series of routines designed to help young students internalize and deepen their facility with numbers. The daily... more...
CRYSTAL—Alberta was established to research ways to improve students' understanding and reasoning in science and mathematics. To accomplish this goal, faculty members in Education, Science, and Engineering, as well as school teachers joined forces to produce a resource bank of innovative and tested instructional materials that are transforming... more...
This book was created for students and teachers interested in mastering the basic applications of algebra, geometry, trigonometry, and statistics. This text has been proven to improve learning for students behind in their mathematics skills and knowledge, as well as those looking to strengthen their skills with confidence. more...
This short series of three books - "Number", "Shape and Space" and "Measures and Handling Data" - gives teachers and parents a range of ideas to help children with mathematical learning difficulties get to grip with mathematics. In order to help these children effectively, statements and teaching points need to be rephrased and produced in a variety... more...
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Product Description
The Algebra Word Problem Tutor DVD series teaches students how to set up algebra word problems and solve them. Step-by-step example problems provide demonstrations of how to proceed from the problem statement to the solution, improving students' problem-solving skills and their ability to understand the underlying concepts of Algebra. This episode teaches students how to solve word problems that involve mixtures. Grades 5-9
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MATLAB or Introductory courses in Engineering and Computer Science.With a hands-on approach and focus on problem solving, this introduction to the powerful Matlab computing language is designed for students with only a basic college algebra background. Numerous examples are drawn from a range of engineering disciplines, demonstrating Matlab's applications to a broad variety of problems.Note: This book is included in Prentice Hall's ESource series. ESource allows professors to select the content appropriate for their freshman/first-year en... MOREgineering course. Professors can adopt the published manuals as is or use ESource's website to view and select the chapters they need, in the sequence they want. The option to add their own material or copyrighted material from other publishers also exists. With a hands-on approach and focus on problem solving, this introduction to Matlab uses examples drawn from a range of engineering disciplines to demonstrate Matlabrs"s applications to a broad variety of problems.Encourages readers to type in examples as they go for immediate application of techniques presented. Includes numerous broad-based examples embedded in the text, practice exercises with solutions, and hints related to commonly encountered problems. Introduces m-files early in the text to make it easier for readers to save their work and develop a consistent programming strategy.For those interested in learning Matlab.
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"Harper's Magazine weighs in on the debate over expanding Algebra 2 to all high school students. "Wrong Answer: The case against Algebra II," by the novelist Nicholson Baker, argues that the course should not be forced on mathematics-hating students or required for college. Students, he writes in the September issue, "are forced, repeatedly, to stare at hairy, square-rooted, polynomialed horseradish clumps of mute symbology that irritates them, that stop them in their tracks, that they can't understand." "The homework is unrelenting, the algorithms get longer and trickier, the quizzes keep coming," Baker writes. "Sooner or later, many of them hit the wall. They fail the course and have to take it again. And then again." He examines the textbook Algebra 2 Common Core, from Pearson, and concludes it is "a highly efficient engine for the creation of math rage: a dead scrap heap of repellent terminology, a collection of spiky, decontextualized, multistep mathematical black-box techniques ..."
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Starting at $11 it step-by-step for pre-calculus success! The quickest route to learning a subject is through a solid grounding in the basics. So what you won't find in Easy Pre-calculus Step-by-Stepis a lot of endless drills. Instead, you get a clear explanation that breaks down complex concepts into easy-to-understand steps, followed by highly focused exercises that are linked to core skills--enabling learners to grasp when and how to apply those techniques. This book features: Large step-by-step charts breaking down each step within a process and showing clear connections between topics and annotations to clarify difficulties Stay-in-step panels show how to cope with variations to the core steps Step-it-up exercises link practice to the core steps already presented Missteps and stumbles highlight common errors to avoid You can master pre-calculus as long as you take it Step-by-Step!
Author Biography
Carolyn Wheater teaches middle and upper school mathematics at the Nightingale-Bamford School in New York City. She has taught math and computer technology for 30 years to students from preschool through college. She is a member of the National Council of Teachers of Mathematics (NCTM) and the Association of Teachers in Independent Schools.
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...
Show More beautiful and profound results in mathematics yet many of these are accessible to higher-level undergraduates. Elementary Differential Geometry presents the main results in the differential geometry of curves and surfaces while keeping the prerequisites to an absolute minimum. Nothing more than first courses in linear algebra and multivariate calculus are required, and the most direct and straightforward approach is used at all times. Numerous diagrams illustrate both the ideas in the text and the examples of curves and surfaces discussed there. The book will provide an invaluable resource to all those taking a first course in differential geometry, for their lecturers, and for all others interested in the subject. Andrew Pressley is Professor of Mathematics at King's College London, UK. The Springer Undergraduate Mathematics Series (SUMS) is a series designed for undergraduates in mathematics and the sciences worldwide. From core foundational material to final year topics, SUMS books take a fresh and modern approach and are ideal for self-study or for a one- or two-semester course. Each book includes numerous examples, problems and fully worked solutions
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Download "Calculus" by Boundless for FREE. Read/write reviews, email this book to a friend and more...
CalComments for "Calculus"
We begin with function notation, a basic toolkit of functions, and the basic operation with functions: composition and transformation. Building from these basic functions, as each new family of functions is introduced we explore the important features of the function: its graph, domain and range, intercepts, and asymptotes.
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Master Sat Ii Math 1c And 2c 4th Ed (Mas...
(Paperback)
With detailed reviews and expert test-taking strategies, this guide helps prepare you for the exam. It includes extensive review of math subjects ranging from algebra and geometry to trigonometry and statistics. Additional resources include, review questions and full-length practice tests at the end of each chapter to reinforce what you have learned.
Feature and benefits include: - Four full-length practice tests - Diagnostic tests to help students identify the areas in which they need improvement - Detailed review of fundamental subject principles, followed by practice questions
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Includes additional worked-out examples, exercises, and practice tests with answers
Emphasizes important concepts and includes tips to help students study and succeed in mathematics
MathPro Explorer 4.0 tutorial software ISBN: 0-13-141107-1
CD-ROM based tutorial organized by the same chapters, sections, and objectives as your text, allowing you to "watch" video examples of text objectives, view multiple examples of similar problems, and offering you the complete solution to any given problem through an interactive, step-by-step solution process.
Designed to provide endless opportunities for practice by generating multiple examples of similar problems
View the complete solution to any practice problem
Gradebook to record individual progress
Includes QuickTime video segments allowing students to "watch" examples of text objectives
MathPro5 online tutorial software ISBN: 0-13-14111-X
MathPro5 is text-specific tutorial offering the same pedagogical features as MathPro4, all delivered over the Internet.
Note: Before running MathPro5 your instructor must first set up a course for your class or institution. Please speak with your instructor before purchasing this title.
CD Lecture Series ISBN: 0-13-142549-8
This comprehensive set of digital videos provides a short lecture with worked examples for every section of your text. These videos provide excellent support for students who missed class or who need to study the material at their own pace. They are also an invaluable resource for distance learning or self-paced study programs.
Approximately 15 minutes of lecture for each section of your text
Step-by-step solutions to text exercises
Exercises worked in the videos are marked in your text with a video icon
PH GradeAssist Student Version ISBN: 0-13-113643-7
PH GradeAssist is an online environment where students can practice their skills, take tests, and complete class assignments and homework.
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ALGEBRA AND PRE-ALGEBRA
ART
GEOGRAPHY/ECONOMICS
Students in 6th, 7th, and 8th grades will learn the connection between geography and economics. Applying the knowledge will help students make more informed choices, prudently use resources, and function as effective participants in the economies around them. (top)
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Algebra Word Problem: Problems Involving GeometryAlgebra Word Problem: Problems Involving Geometry Movie Description
This program teaches students how to solve word problems that involve geometry. Students are taught how to read the problem and what keywords to look for to gain clues on how to proceed and solve the problem. Students are then taught, for each proble how to set up the appropriate algebraic equation and solve for the unknown. All problem are fully worked with each step shown so that students learn how to proceed from the problem statement to the solution and every step in between.
Movie Details
EAN:
8901736032629
Studio / Distributor:
Excel Home Entertainment
Format:
DVD
Language(s):
English
Release Year:
2009
Category(s):
Educational Algebra Word Problem: Problems Involving Geometry DVD and all your favorite heroes and stars in the comfort of your own home. Buy English Movie DVD and watch great Educational
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An Introduction to Algebraic Topology 1st edition
0486457869
9780486457864
This self-contained treatment assumes only some knowledge of real numbers and real analysis. The first three chapters focus on the basics of ...See more details below
Details about this item
An Introduction to Algebraic Topology:This self-contained treatment assumes only some knowledge of real numbers and real analysis. The first three chapters focus on the basics of point-set topology, after which the text proceeds to homology groups and continuous mapping, barycentric subdivision, and simplicial complexes. Exercises form an integral part of the text. 1961 edition.
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Rent An Introduction to Algebraic Topology 1st edition today, or search our site for Andrew H. textbooks. Every textbook comes with a 21-day "Any Reason" guarantee. Published by Dover Publications, Incorporated.
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29208384 INSTRUCTOR'S REVIEW COPY. Same as student but...Fine. 1429208384New. What's the ideal balance? How can you make sure students...New. What's the ideal balance? How can you make sure students get both the computational skills they need and a deep understanding of the significance of what they are learning? With your teaching--supported by Rogawski's "Calculus Second Edition"--the mo
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The Best Math Books
Dear Students and fellow tutors,
There are so many resources out there to help you succeed in math. In fact, are there too many? If you do an internet search on a math topic (linear equations, for example) are you overwhelmed by the response? How many hours will you waste looking at bad
web sites?
OK, stop wasting time and go to the library to check out these books by mathematician and actress Danika McKeller:
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You can teach hitting by Dusty Baker(
Book
) 1
edition published
in
1993
in
English
and held by
762
libraries
worldwide
A guide for parents and baseball coaches that offers instructions on teaching players how to hit a baseball; includes information on selecting a bat, using the right pitch, avoiding the ten most common mistakes, and learning how to work with a team.
Elementary algebra : concepts and applications by Marvin L Bittinger(
Book
) 22
editions published
between
1990
and
2010
in
English
and held by
369
libraries
worldwide
Appropriate for a one-term course in elementary algebra, this text is intended for those students who have a firm background in arithmetic. -Pref.
Logic and proof by Marvin L Bittinger(
Book
) 8
editions published
between
1970
and
1972
in
English and Undetermined
and held by
368
libraries
worldwide
Basic background in symbolic logic for undergraduates in mathematics.
Basic mathematics by Marvin L Bittinger(
Book
) 16
editions published
between
1995
and
2007
in
English and Undetermined
and held by
359
libraries
worldwide
[This text] will help provide an improved teaching and learning experience by matching the needs of instructors and successfully preparing students for the future. -Pref.
Intermediate algebra : concepts and applications by Marvin L Bittinger(
Book
) 24
editions published
between
1990
and
2010
in
English
and held by
357
libraries
worldwide
[This text is] appropriate for a one-term course in intermediate algebra. [It] is intended for those students who have a firm background in elementary algebra. -Pref.
Algebra and trigonometry : a functions approach by Mervin Laverne Keedy(
Book
) 13
editions published
between
1974
and
1990
in
English and Spanish
and held by
327
libraries
worldwide
Covers the usual topics of college algebra and trigonometry.
Introductory algebra by Marvin L Bittinger(
Book
) 17
editions published
between
1995
and
2009
in
English
and held by
305
libraries
worldwide
As you have come to expect when you see the Bittinger name, Introductory Algebra, Ninth Edition, continues to offer you and your students a completely integrated text and package that will help your students to succeed not only in this course, but also in future courses as well. In addition to an exceptional 4-color text that has been significantly revised with respect to design and a new art program, students can also experience learning through the Digital Video Tutor, MathXL, the AW Math Tutor Center, and now MyMathLab. (Midwest).
Calculus : a modeling approach by Marvin L Bittinger(
Book
) 12
editions published
between
1976
and
1984
in
English and Undetermined
and held by
298
libraries
worldwide
Introductory algebra by Mervin Laverne Keedy(
Book
) 15
editions published
between
1971
and
1995
in
English
and held by
277
libraries
worldwide
Explains basic algebra.
Intermediate algebra by Marvin L Bittinger(
Book
) 17
editions published
between
1995
and
2011
in
English
and held by
232
libraries
worldwide
As you have come to expect when you see the Bittinger name, Intermediate Algebra, Ninth Edition continues to offer you and your students a completely integrated text and supplements package that will help your students succeed not only in this course, but in future courses as well. In addition to an exceptional 4-color text that has been significantly revised with respect to design and a new art program, students can also expand their learning via the Digital Video Tutor, MathXL, the Addison-Wesley Math Tutor Center, and now MyMathLab. (Midwest).
Calculus and its applications by Marvin L Bittinger(
Book
) 15
editions published
between
2000
and
2012
in
English and Spanish
and held by
219
libraries
worldwide
Appropriate for a one-term course, this text is an introduction to applied calculus. A course in intermediate algebra is a prerequisite for the text, although the Appendix, "Review of Basic Algebra," together with Chapter R. provides sufficient foundation to unify the diverse backgrounds of most students. -Pref.
Calculus by Marvin L Bittinger(
Book
) 9
editions published
between
1984
and
1996
in
English and Undetermined
and held by
214
libraries
worldwide
Intermediate algebra by Mervin Laverne Keedy(
Book
) 15
editions published
between
1979
and
2003
in
English
and held by
213
libraries
worldwide
Prealgebra by Marvin L Bittinger(
Book
) 20
editions published
between
1991
and
2012
in
English and Undetermined
and held by
191
libraries
worldwide
[This text] will help provide an improved teaching and learning experience by meeting the needs of instructors and successfully preparing students for their futures. -Pref.
Essential mathematics by Mervin Laverne Keedy(
Book
) 6
editions published
between
1980
and
1992
in
English
and held by
185
libraries
worldwide
College algebra : graphs and models(
Book
) 11
editions published
between
1996
and
2013
in
English
and held by
175
libraries
worldwide
[This book] covers college-level algebra and is appropriate for a one-term course in precalculus mathematics.... Although a course in intermediate algebra is a prerequisite for using this text, Chapter R, "Basic Concepts of Algebra,: provides sufficient review to unify the diverse mathematical backgrounds of most students. -Pref.
Applied calculus by Marvin L Bittinger(
Book
) 5
editions published
between
1984
and
1994
in
English
and held by
170
libraries
worldwide
Developmental mathematics by Marvin L Bittinger(
Book
) 12
editions published
between
1995
and
2008
in
English
and held by
165
libraries
worldwide
College algebra by Judith A Beecher(
Book
) 11
editions published
between
2002
and
2012
in
English
and held by
144
libraries
worldwide
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Practical Problems in Mathematics for Welders, 6th Edition
Discover how this highly effective, practical approach to mathematics can prepare you with the math skills most important for success in today's welding careers. PRACTICAL PROBLEMS IN MATHEMATICS FOR WELDERS, 6E combines an inviting, comprehensive introduction to math with an emphasis on the latest procedures, practices, and technologies in today's welding industry. You'll see how welders rely on mathematical skills to solve both everyday and more challenging problems, from measuring materials for cutting and assembling to effectively and economically ordering materials. Highly readable, inviting units emphasize both basic procedures and more advanced mathematics formulas welders must regularly use.
Clear, uncomplicated explanations, new practice problems, and real-world examples emphasize some of the industry's latest developments. New, more dimensional illustrations throughout this edition help you further visualize concepts with an approach that's ideal for learners at all levels of math proficiency. A new homework solution and dynamic online website help reinforce the math skills most important for success in welding81.95
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- Goals of the GraVisMa workshops is to bring theory of the Projective Geometry, Geometric Algebra and Conformal Geometry to practice especially in the fields related to Computer Graphics and Computer Vision, Scientific Computation and Visualization.
- GraVisMa workshop will bring new impulses to related fields of computer science, especially in development of new approaches to algorithms and data structures, will stimulate research activities between mathematicians and computer science experts.
Informal atmosphere of the GraVisMa workshops will stimulate discussions between researchers and practitioners that will lead to further international research collaborations and projects proposals as well.
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Starting at $55.91 1/3/2011 Second Edition of David Hunter's Essentials of Discrete Mathematics is the ideal text for a one-term discrete mathematics course to serve computer science majors, as well as students from a wide range of other disciplines. The material is organized around five types of mathematical thinking: logical, relational, recursive, quantitative, and analytical. This presentation results in a coherent outline that steadily builds upon mathematical sophistication. Graphs are introduced early and are referred to throughout the text, providing a richer context for examples and applications. Students will encounter algorithms near the end of the text, after they have acquired enough skills and experience to analyze them properly. The final chapter contains in-depth case studies from a variety of fields, including biology, sociology, linquistics, economics, and music.
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use trigonometric substitutions to recognize integrals, solve integrals, set up the substitution properly, and carry out the integration. Grades 9
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ODYSSEYWARE Middle and High School Math
ODYSSEYWARE gives middle school students a proven formula for math success and prepares them for pre-algebra. This interactive course reviews math fundamentals and gives students the digital tools to strengthen their skills in problem solving, number sense, and proportional reasoning. It also introduces them to new concepts including integers, equations, and geometry. Innovative and filled with learning games to increase retention, this curriculum is complete with multimedia clips and integrated audio files to make complex concepts comprehensible and promote academic achievement.
Solve the pre-algebra learning equation at your public or charter school with ODYSSEYWARE Pre-Algebra for middle and high school students. This interactive, web-based course lays the groundwork for higher-level math study through an examination of number relationships, variables, scientific notation, functions, integers, measurement, formula use, and data representation. Dynamic learning games, audio and video files, and multiple assessment opportunities help teachers to identify areas that need revisiting for individuals or the entire class. Take your students into the realm of digital learning with ODYSSEYWARE Pre-Algebra.
Increase the math success ratio of your public or charter high school with ODYSSEYWARE Algebra I. From variables and expressions to square roots and factoring, this interactive class covers the algebra basics and prepares students for higher level math instruction. Ongoing assessments and automatic data reporting help teachers keep track of student progress, allowing early intervention when challenges arise. With 24/7 access to content and interactive learning tools, ODYSSEYWARE's comprehensive curriculum allows students to conveniently practice new skills at a pace that enables mastery as students learn both in and out of the classroom.
Education intersects innovation with ODYSSEYWARE Algebra II. This inventive curriculum challenges students to take their math skills to the next level. Clickable videos enhance student understanding as they illustrate the analytical breakdown of complicated concepts. From combining terms in algebraic expressions to compound sentences, and from advanced polynomial functions to data analysis, this rigorous, standards-based course can be easily implemented and integrated into the high school curriculum in your school district. With ODYSSEYWARE, students have a digital choice.
Experience a new angle on learning with ODYSSEYWARE Geometry. This comprehensive, Internet-based curriculum guides students through interactive lessons that cover terminology, postulates and theorems, angles, shapes, and equations for determining area, circumference, volume, and area. Rigorous and standards-based, this course gives students a look at geometry from all sides from their computer screen at any time, facilitating self-directed learning.
Take your students beyond the limits of the traditional classroom and into the world of web-based learning with ODYSSEYWARE Pre-Calculus. This comprehensive course initiates study in mathematical analysis, the purpose of calculus. Lessons cover a wide range of materials including an observation of multiple mathematical functions, quadratic inequalities, logarithms, probabilities, and permutation. Multimedia activities give students additional tools to clarify key concepts in this exciting entrance into the sphere of calculus
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As a core subject in many science disciplines, this text will appeal to a wide range of students, as well as practising scientists and technicians. Assuming only a basic knowledge of complex numbers and matrices, it carefully and lucidly aids readers to fully understand this challenging subject.
Synopsis As a core subject in many science disciplines, this text should appeal to a wide range of students, as well as practising scientists and technicians. Assuming only a basic knowledge of complex numbers and matrices, it aids readers to fully understand this challenging subject. It offers a modern and updated approach. The text provides a comprehensive introduction to the subject, and includes a multi-disciplinary approach, concentrating on basic principles and concepts. It contains chapters of...
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Algebra : Introductory and Intermediate - 4th edition
Summary: With all the support of the renowned Aufmann approach, this popular combination text helps your students prepare to master college algebra and to apply algebra in the real world.
New! Bulleted annotations have been added to the solution steps of Examples and to the You Try It solutions in the appendix, further enhancing the Aufmann Interactive Method.
New! Examples have been clearly labeled How To, ...show moreallowing students to more easily refer back to solution steps when completing corresponding exercises.
Updated! The Chapter Summary has been reformatted to include an example column, offering students the additional support of an algebraic representation of concepts, rules and definitions.
Updated! In response to instructor feedback, the number of Chapter Review Exercises and Cumulative Review Exercises has increased.
Updated! More operation application problems integrated into the Applying the Concepts exercises encourage students to judge which operation (adding, subtracting, multiplying, dividing) is needed to solve a word problem.
New! Integrating Technology (formerly Calculator Notes) margin notes provide suggestions for using a calculator in certain situations. For added support and quick reference, a scientific calculator screen is displayed on the inside back cover of the text.
New! Objective-based Worksheets accompany every section in the book for extra classroom practice or homework. These worksheets are found on the ClassPrep CD and Online Teaching Center.
Aufmann Interactive Method (AIM) encourages students to try the math as it is presented. Every section objective contains one or more sets of matched-pair examples. The first example is completely worked out; the second example, called 'You Try It,' is for the student to work. Complete worked-out solutions to these examples in an appendix enable students to check their solutions and obtain immediate reinforcement of the concept.
Integrated, easy-to-navigate learning system organized by objectives guides students with a consistent, predictable framework. Each chapter opens with a list of learning objectives, which are woven throughout the text and integrated with the print and multimedia ancillaries.
The AIM for Success Student Preface guides students in making the most of the text's features. Study Tip margin notes throughout the text refer students back to the Student Preface for advice.
Prep Tests at the beginning of each chapter help students prepare for the upcoming material by testing them on prerequisite material learned in preceding chapters. The answers to these questions can be found in the Answer Appendix, along with a reference to the objective from which the question was taken. The Go Figure problem that follows the Prep Test is a challenge problem for interested students.
Extensive use of applications that use real source data shows students the value of mathematics as a real-life tool.
Focus on Problem Solving section at the end of each chapter introduces students to various problem-solving strategies. Students are encouraged to write their own strategies and draw diagrams in order to find solutions.
Unique Verbal/Mathematical connection simultaneously introduces a verbal phrase with a mathematical operation, followed by exercises that require students to make a connection between a phrase and a mathematical process.
Projects and Group Activities at the end of each chapter offer ideas for cooperative learning.
Unique Instructor's Annotated Edition features a format rich with new instructor support materials, which are provided at point-of-use in the margins surrounding reduced student pages061860953920.79 +$3.99 s/h
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Synopses & Reviews
Publisher Comments:
This high-level undergraduate text explains the mathematics behind basic circuit theory. Its self-contained treatment covers matrix algebra, which provides a general means of formulating the details of a linear system. In addition, the author presents the basic theory of n-dimensional spaces and demonstrates its application to linear systems.
A development of the mathematics of matrix algebra and determinants is followed by the application of matrix techniques to a general discussion of circuits. Subsequent topics include the properties of active and passive two-port devices, the basic theory of linear vector spaces, and the natural frequencies of a network. Appendixes cover the indefinite-transfer matrix, gyrators with complex gyration admittance, and network transformations. A wealth of equations and calculation problems appear throughout the
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Mathematics Applications and Connections Course 3
9780078228520
ISBN:
0078228522
Publisher: Glencoe/McGraw-Hill School Pub Co
Summary: Motivate your students with relevant, real-world applications, correlated Internet connections, and additional skill practice in a variety of formats. Reach all your students by balancing practice and skill development with hands-on activities, technology, and projects and investigations. Prepare students for success on standardized tests and in future math courses with a wide variety of assessment options and strong... developmental links from arithmetic to algebra.
Collins Publishers Staff is the author of Mathematics Applications and Connections Course 3, published under ISBN 9780078228520 and 0078228522. One hundred fifty seven Mathematics Applications and Connections Course 3 textbooks are available for sale on ValoreBooks.com, one hundred fifty six used from the cheapest price of $2.39, or buy new starting at $546.71.[read more]
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This is a book that every potential undergraduate student of mathematics should purchase. It has a very thorough description of what is involved with being an undergraduate in mathematics at university. Alcock has succeeded in writing a relevant, interesting and beneficial account of what it is like to be a maths undergraduate. She highlights the differences between pure and applicable mathematics and what skills are needed to flourish in these. However the emphasis is on pure mathematics throughout the book. Additionally the author does not shy away from doing some serious mathematics even though the book is written for the layman. The technical mathematics is described in simple… Read more
This is a popular mathematics book for the layman. The author has succeeded in writing interesting articles in mathematics which are laid out alphabetically. Dunham discusses the problems and personalities in the history of mathematics. If you want a student hooked into mathematics then this the book they should read. The technical mathematics in the book are excellently described in simple terms that the average layman can understand. Dunham really does bring mathematics to live in this book. Initially I was reluctant to purchase a book which is mapped out in alphabetic order. However Dunham managed to make the progression from one chapter to the next… Read more
The Story of Mathematics by Anne Rooney This book is full of interesting facts on the history of mathematics such as where our symbols + , - , = and originated from. There are also details of mathematics of the 20th Century such as fractals and fuzzy logic. In places the book is fascinating reading such as `Pascal's Triangle is called Khayyam's Triangle in Iran.' A student doing mathematics would find this book intriguing and learn some entertaining facts about the history of the subject. The author has made good use of colour in diagrams but the diagrams are not referenced. There is also no caption for tables. The layout of some details is rather peculiar. For example… Read more
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Struik's book, "A Concise History of Mathematics", is a well documented book with the main contributions, dates, and names of the people involved in the development of mathematics from their ancients origins until the first half of the 20th century.
Struik's style of writing is clear and, how the title of the book says, concise, highlighting the relevant discoveries made in the field and relating them in order to give a better understanding of the subject.
Reading is easy for all people because Struik avoids to use formulas where it is not necessary, focusing more in the works of the great mathematicians and describing them of a comprehensible way.
Another excellent feature of the book is the great bibliography that contains, with a many references to other books not only in English, but in other languages also.
Somebody would hope to find more mathematical demonstrations and more illustrations, but this is not the objective of the book, contents in a single volume of 228 pages are the most important facts of the history of the mathematics, therefore, the relationship between cost and content is excellent.
A Concise History of Mathematics is a classical book, written by a world wide recognized author, of a clear and concise manner.
All people interested in this area of the mathematics must have this book in their shelf.
This is a particularly clear-minded view of the progression of mathematical history. The book serves to convince that understanding math (as possibly opposed to science) requires a knowledge of its history. The great advance of twentieth century mathematics is its achievement of higher levels of abstraction. But without the history this abstraction is just puff. This book leaves off at 1945.
I bought this book by Struik 10 years ago and read it 8 years ago. I was not expecting much because it is such a small book in comparison to other books on mathematics history. However, I was pleasantly surprised. Struik managed to include many historical observations which I have not seen in ten or so other books on mathematics history.
Chapter 1 contains speculations on mathematics in the Old Stone Age (which we now call the palaeolithic), which is always very dangerous due to the lack of real evidence, but it's entertaining to speculate anyway.
Chapter 2 covers ancient Egyptian and Babylonian mathematics. This is covered in very much greater detail, and more perspicaciously, by Boyer and Merzbach. Chapter 3 covers ancient Greek mathematics in 27 pages. (Perhaps one could observe that the history of ancient Greek mathematics has been done to death. Everyone who can afford pen and paper seems to have written about it.) Chapter 4 does medieval Arabic mathematics in 12 pages. Chapter 5 does European Renaissance mathematics in 16 pages. Then there's a short chapter each for the 17th, 18th, 19th and 20th centuries. It's all extremely brief!
One of the greatest strengths of this book is the references to the literature. I have followed many of these "links" in the last 8 years, and it is beneficial to follow them, even though many of them are difficult to obtain.
One of the little surprises in this book is on page 82, where it is explained that Oresme introduced graphs such as we generally think of as Cartesian coordinates, graphing variable Y against variable X, more than 250 years before Descartes. I later found this interesting fact mentioned also in Boyer and Merzbach, pages 239 and 319-320. (In fact, Descartes apparently never used Cartesian coordinates at all.)
Conclusion: This book has a good quantity and quality of references to the academic literature. It contains many insights which are not found much in other history books. It's short, but quite densely packed with information. You might like to skip over the first speculative chapter though.Read more ›
This book is best suited for readers with a good knowledge of the various fields of mathematics. It does not expound any technical details, but refers to mathematical results with which one should already be acquainted. The author himself was a mathematician who researched the history of mathematics. The result was the material in this book that contains the names of numerous mathematicians and scientists, and their publications with Latin, French, and German titles. Most of the foreign language titles and quotes have English translation in the footnotes.
When I was student ( from elementary school to university level ), I was never taught of history of mathematics ( at least in an organized and formalized way,sometimes there were references to singular and surprising anecdote as Gauss child summing up the first 100 natural numbers in few seconds). I think this is a lack ( probably it is not possible to teach everything in the already rich school program ) of the educational system. For this reason , enjoying mathematics ( especially the simplest one ), I was looking for something to explain and describe how the mathematical thinking developped with time. At the same time, I did not have much time, so I thought from the title that this book was the right one for my needs. Although all the history of mathematics from its dawn to about 1950 and written in a short book is something very difficult to realize ( if not impossible ), I very reccomend this beautiful book, where the history of mathematics is well explained in terms of main thinking lines. Furthermore this book is rich of interesting anecdotes and details on personal and accademic relations among the greatest mathematicians of all time.
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Academic Quality and Standards Unit
University of Bolton
Module: Mathematical Physics by Dr R G Jackson
Description and Purpose of Module
The purpose of this module is to equip students with a working knowledge of the use and implementation of physics-based, dynamic models as used in computer games.
Indicative Syllabus Content
ROTATIONAL DYNAMICS: Rotational equations of motion; interpretation of Newtons Laws for rotating systems; energy in rotating systems; simple harmonic motion in rotational terminology. THE EXPONENTIAL FUNCTION: Poulation growth and decline; radioactivity; rockets with variable mass. FIRST AND SECOND ORDER SYSTEMS: Displacement as a function of time; damping. CARTESIAN AND POLAR CO-ORDINATE SYSTEMS IN 2-D AND 3-D: The line equation; circles and spheres; collision detection; the conic sections; direction cosines; the plane equation; distance from a point to a plane. VECTORS: Revision of basic concepts; the position vector; the unit vector; the equation of a line; vector multiplication and use in defining planes, rays and normals; vector determination of the distance from a point to a line and a point to a plane. MATRICES: Revision of basic concepts; shift and rotational operations; the projection matrix.
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For success in this course, practice is very important. In each
chapter there are problems embedded in the text of the sections that we
cover. These are meant to directly reinforce the examples that are
discussed in that section. Do these problems as you work on each section
soon after the lecture which covers the material in that section. At the
end of each chapter there is a set of "Key Concept" problems. These
cover basic ideas of the chapter and should be completed before attempting the
"Section Problems". Again, you would be wise to do the
"Section Problems" as each section is covered. There are
"Multi-Concept Problems" at the end of the problems for each
chapter. The Table below identifies the relevant problems:
Chapter
Problems
4
108 - 113
5
113 - 116
6
109 - 114
7
121 - 122
8
118 - 122
9
117 - 121
Please note that my expectation is that you can do the problems
identified in the preceding paragraph. Quizzes and Exams will contain
problems chosen from these or very similar ones. The problems on the
"Homework Machine" are also excellent for practice and the count in
your grade. Expect to see problems like these on exams and quizzes.
Eighty percent of your course grade comes from exams, quizzes and the
"Homework Machine". Finally, there is a set of multiple-choice
questions generated from the text which can be found by following the links
below.
If you think that it would be difficult to do all of these problems on the
night before an exam, you are correct. It doesn't work to do it that
way. There are many necessary skills which are developed in the course and
they are usually needed to understand the material in subsequent sections and
chapters.
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Groups
The Algebra One course begins with a fast-paced review of the previous year. The beauty, clarity, and utility of algebraic reasoning are explored through practical and not so practical challenges. We will conclude with a study of the quadratic formula, and introduce formal logical reasoning.
This section contains information for our Explorer Tournament El Toro Boat Building Project. Documents for this project are listed below. Not all documents are publicly available. For full access, login or create an account.
In eighth grade, students begin bulding functional furniture using
traditional tools and techniques. They often build a threee-legged stool, a
small table, or a bench. More complex use of mallots and gauges is required
in these projects, as well as a greatly expending set of other tools. Mortise
and tennon joints are used to join the legs to the top.
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Pre-Calculus: Matrices Help & Problems
Find study help on matrices for pre-calculus. Use the links below to select the specific area of matrices you're looking for help with. Each guide comes complete with an explanation, example problems, and practice problems with solutions to help you learn matrices for pre-calculus.
Study Guides
Introduction to Matrix Arithmetic
A matrix is an array of numbers or symbols made up of rows and columns. Matrices are used in science and business to represent several variables and relationships at once. For example, suppose there are three brands of fertilizers ...
Introduction to Matrix Row Operations and Inverses
We will use row operations to solve systems of equations and to find the multiplicative inverse of a matrix. These operations are similar to the elimination by addition method studied in Chapter 10. We ...
Introduction to Matrices and Systems of Equations
There are three ways we can use matrices to solve a system of linear equations. Two of them will be discussed in this Study Guide. Solving systems using these methods will be very much like finding inverses. We ...
Matrix Determinant
The last computation we will learn is finding a matrix's determinant . Although we will not use the determinant here, it is used in vector mathematics courses, some theoretical algebra courses, and in algebra ...
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Mathematics
These resources are from the archives of the Qualifications and Curriculum Development Agency (QCDA) which maintained and developed the National Curriculum and associated assessments, tests and examinations, advising the Secretary of State for Education on these matters. In May 2010, the Secretary of State announced his intention to promote legislation that would abolish QCDA.
The National Curriculum for Mathematics was introduced into England, Wales and Northern Ireland as a nationwide curriculum for primary and secondary state schools following the Education Reform Act 1988. The National Curriculum went hand in hand with the development of national tests, SATs, at the end of the Key Stages. This development eventually came under the remit of the QCDA.
The Qualifications and Curriculum Authority (QCDA's predecessor) was formed on 1 October 1997 through a merger of the National Council for Vocational Qualifications (NCVQ) and the School Curriculum and Assessment Authority (SCAA). The National Assessment Agency (NAA) took over the role of the delivery and administration of National Curriculum assessments from QCA in 2003 science QCA, QCDA and Ofqual collection, these resources outline the curriculum required for various ages of student, along with subject criteria for examinations and various curriculum support materials.
Context
The Qualifications and Curriculum Authority (QCA) was set up by the Government to regulate all external…
From the mathematics QCA, QCDA and Ofqual collection, these are reports and reviews carried out or commissioned by QCA, QCDA and Ofqual.
Context
The Qualifications and Curriculum Authority (QCA) was set up by the Government to regulate all external qualifications in England. The National Assessment Agency took over the specific…
This collection contains the Key Stage One Statutory Assessment Tests with the associated markschemes for 2003 and 2004, the Statutory Assessment Tests with associated markschemes for Key Stages Two and Three from 2003 to 2009, the Year Seven progress tests and the Optional Materials for National Curriculum level eight.
This collection contains a wide range of support materials from the QCA. This includes the Early Years Foundation Stage handbook, support for using P scales, a review of teacher assessment, support materials for those doing the linked pair of GCSEs and Engaging Mathematics for all learners.
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Information for Students Considering Mathematics as a Major
What is Mathematics?
Mathematics is one of the oldest of sciences. Although there are many applications of
mathematics, the
questions that the subject of mathematics seeks to resolve are questions whose answers will
deepen our understanding
of, and reveal new insights into, mathematics itself. The inherent structure and elegance of
mathematics
are features of the subject that are difficult to surpass in other fields. Mathematics further differs
from other disciplines in that its advances come through the application of pure reason (via the
human mind)
rather than through observation (via scientific instrumentation). Consequently, mathematics builds
upon
its past achievements and develops independently of technological advancements.
Pure or Applied?
The basis for using and applying mathematics to any real world problem is a good knowledge
of pure mathematics.
The main branches of pure mathematics are algebra (the study of arithmetical systems of various
types),
analysis (the study of the continuum and the mathematics of change), combinatorics (the
mathematics of counting),
probability (the mathematics of random phenomena),
and topology (the study of geometrical objects and their deformations).
Applied mathematics refers to any
discipline in which the development of mathematical tools is the main objective. Consider:
(i) the study of how blood flows through the cardiovascular system; (ii) encryption for secure
internet
commerce; and (iii) the development of models for chemical reactions in the high atmosphere.
These are all examples
of applied mathematics.
Other examples are Actuarial
Science
and Statistics.
A Quote
Mathematics, rightly viewed, possesses not only truth, but supreme
beauty, a beauty cold and austere, like that of sculpture, without appeal
to any part of our weaker nature, without the gorgeous trappings of
painting or music, yet sublimely pure, and capable of a stern perfection
such as only the greatest art can show. The true spirit of delight, the
exaltation, the sense of being more than Man, which is the touchstone of
the highest excellence, is to be found in mathematics as surely as in
poetry.
--BERTRAND RUSSELL
If you, like Russel, feel this way, then you should consider majoring in pure mathematics.
The BSc and BSc Honours programs
Students who graduate from the B.Sc. program will be proficient in
the uses of mathematics, especially
with calculus, matrix algebra, and differential equations. These graduates will also have been
exposed to some statistics, computer science, and higher
level mathematical reasoning in the form of mathematical proof.
Courses in number theory, abstract algebra, and
optimisation can be taken as part of the B.Sc. program, and there are options that allow for a
combined major in mathematics
and computer science and for a combined major in mathematics and statistics.
Students who graduate from the B.Sc. Honours program
will be proficient in high-level abstract mathematical reasoning. The B.Sc. Honours program
is excellent preparation for graduate studies and many University of Regina graduates from the
program go on to earn M.Sc. and Ph.D. degrees at top universities throughout North America.
What can I do with my degree?
The answer to this question depends on who is asking the question. Graduates from a
mathematics program
are logical, creative thinkers. Even if one does not become a "professional"
mathematician, the ability to reason at a high level is a skill that can take a person a long way and
in a
great many directions.
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Modeling Toolkit and Workbook for Defense Analysis Students
The purpose of this thesis is to provide a workbook to accompany the current textbook, A First Course in Mathematical Modeling. The workbook will offer basic reviews of each lesson followed by detailed examples of how to work each model. Topics covered include difference equations, systems of difference equations, Lanchester equations, graphical analysis, proportionality, geometric similarity, model fitting, Monte Carlo simulation, and probabilistic and deterministic behaviors. The thesis will also provide a modeling toolkit for the DA student upon graduation. The toolkit will present graduates simple instructions and multiple modeling templates they can take with them upon graduation and use to solve real-world modeling problems in the field. Templates in the toolkit cover decision theory, discrete dynamic systems, expected value, Lanchester models, and two-person games.
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Algebra
Core Skills: Math Review and Algebra prepare students to master the skills and concepts found on most state standardized tests. This book provides plenty of examples and practice for reinforcement. A preview test determines what the student does or does not know, unit reviews at the end of each unit test what was learned, and a final review compares against the preview test to measure improvement. Bound-in answer key.
This book can serve several purposes. It can be used as a reference and for self-study by readers who want to learn the mathematical foundations of modern cryptography. It is also ideal as a textbook ...
Aimed at graduate students and researchers in mathematics, this book takes homological themes, such as Koszul complexes and their generalizations, and shows how these can be used to clarify certain ...
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Our users:
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Absolutely genius! Thanks! D.C., Maryland
As a teacher I praise Algebrator because the students love it and find it most stimulating and interesting. What they see is what they learn and moreover it is relevant to the curriculum. S.D., Oregon
Students struggling with all kinds of algebra problems find out that our software is a life-saver. Here are the search phrases that today's searchers used to find our site. Can you find yours among them?
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the Nonmathematician
Erudite and entertaining overview follows development of mathematics from ancient Greeks to present. Topics include logic and mathematics, the ...Show synopsisErudite and entertaining overview follows development of mathematics from ancient Greeks to present. Topics include logic and mathematics, the fundamental concept, differential calculus, probability theory, much more. Exercises and problems
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Give your students the text that makes algebra accessible and engaging - McKeague's "Elementary Algebra, 9th edition, International Edition". Pat ...Show synopsisGive your students the text that makes algebra accessible and engaging - McKeague's "Elementary Algebra, 9th edition, International Edition". Pat McKeague's passion for teaching mathematics is apparent on every page, and this Ninth Edition continues to provide students with a thorough grounding in the concepts central to their success in mathematics. Attention to detail, an exceptionally clear writing style, and continuous review and reinforcement are McKeague hallmarks that constitute the solid foundation of the text, while new pedagogy help students 'bridge the concepts.' These 'bridges' guide students and help them make successful connections from concept to concept-and from this course to the next. "Elementary Algebra, 9th edition, International Edition" is one of the most current and reliable texts you will find for the course, and is ideally structured and organized for a lecture-format. Each section can be discussed in a 45- to 50-minute class session, allowing you to easily construct your course to fit your needs
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MATH 0222
MATH 0222 - Arithmetic for College Students
Fall 2013 (Section #7385)
Course Information Page
This course covers addition, subtraction, long division and multiplication of whole numbers and decimal numbers without the use of a calculator. Students who do not have the necessary skills for Pre-Algebra should enroll in this course.
This class uses material that is available through Etudes.
If you have questions about this class, please e-mail the instructor, Barbara Odegard.
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BEGINNING ALGEBRA
9780131444447
ISBN:
0131444441
Edition: 4 Pub Date: 2004 Publisher: Prentice Hall
Summary: Clearly explained concepts, study skills help, and real-life applications will help the reader to succeed in learning algebra.
Martin-Gay, K. Elayn is the author of BEGINNING ALGEBRA, published 2004 under ISBN 9780131444447 and 0131444441. Four hundred fifteen BEGINNING ALGEBRA textbooks are available for sale on ValoreBooks.com, one hundred twenty five used from the cheapest price of $0.01, or buy new start...ing at $3.54
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Collaborative Team Produces New Common-Core Math Series
Among key features of the program is the "dual pathways" model, where instruction can be adjusted via the regular pathway or the compacted pathway through middle school mathematics. The regular pathway prepares students for Algebra 1 or Integrated 1 in ninth grade. The compacted pathway is for accelerated learners who will progress on to geometry or Integrated 2 in ninth grade.
Program components are available online and in print (with DVD companion) and include pupil and teacher editions, English and Spanish record and practice journals, an assessment book, and chapter resources.
Benchmarks of the Standards for Mathematical Practice are that a proficient student should:
Make sense of problems and persevere in solving them;
Reason abstractly and quantitatively;
Construct viable arguments and critique the reasoning of others;
Model with mathematics;
Use appropriate tools strategically;
Attend to precision;
Look for and make use of structure; and
Look for and express regularity in repeated reasoning.
Big Ideas Learning is headed by Penn State University, Erie Math Professor Ron Larson and Laurie Boswell, mathematics teacher at The Riverside School in Lyndonville, VT. The duo has authored more than 24 textbooks since their initial effort in 1992.
Houghton Mifflin Harcourt is headquartered in Boston, MA and among the world's largest providers of prek-12 education solutions, delivered to 60 million students in 120 countries. The company also publishes novels, non-fiction, children's books, and reference works
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49m
Use: Watch Online & Download
Access Period: Unlimited
Created At: 10/01/2010
Last Updated At: 10/01/2010
This 6-video second-semester calculus series will teach you the basics of integration - what's an integral, how does notation work, how does integration work, how do integrals relate to derivatives, how do you solve basic integration problems, etc.
These videos are available to be viewed online for free on PatrickJMT
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Functions and Their Graphs. Using Technology: Graphing a Function. The Algebra of Functions. Portfolio. Functions and Mathematical Models. Using Technology: Finding the Points of Intersection of Two Graphs and Modeling. Limits. Using Technology: Finding the Limit of a Function. One-Sided Limits and Continuity. Using Technology: Finding the Points of Discontinuity of a Function. The Derivative. Using Technology: Graphing a Function and Its Tangent Line. Summary of Principal Formulas and Terms. Review Exercises.
3. DIFFERENTIATION.
Basic Rules of Differentiation. Using Technology: Finding the Rate of Change of a Function. The Product and Quotient Rules. Using Technology: The Product and Quotient Rules. The Chain Rule. Using Technology: Finding the Derivative of a Composite Function. Marginal Functions in Economics. Higher-Order Derivatives. Using Technology: Finding the Second Derivative of a Function at a Given Point. Implicit Differentiation and Related Rates. Differentials. Portfolio. Using Technology: Finding the Differential of a Function. Summary of Principal Formulas and Terms. Review Exercises.
4. APPLICATIONS OF THE DERIVATIVE.
Applications of the First Derivative. Using Technology: Using the First Derivative to Analyze a Function. Applications of the Second Derivative. Using Technology: Finding the Inflection Points of a Function. Curve Sketching. Using Technology: Analyzing the Properties of a Function. Optimization I. Using Technology: Finding the Absolute Extrema of a Function. Optimization II. Summary of Principal Terms. Review Exercises.
Antiderivatives and the Rules of Integration. Integration by Substitution. Area and the Definite Integral. The Fundamental Theorem of Calculus. Using Technology: Evaluating Definite Integrals. Evaluating Definite Integrals. Using Technology: Evaluating Definite Integrals for Piecewise-Defined Functions. Area between Two Curves. Using Technology: Finding the Area between Two Curves. Applications of the Definite Integral to Business and Economics. Using Technology: Consumers' Surplus and Producers' Surplus. Summary of Principal Formulas and Terms. Review Exercises.
Functions of Several Variables. Partial Derivatives. Using Technology: Finding Partial Derivatives at a Given Point. Maxima and Minima of Functions of Several Variables. The Method of Least Squares. Using Technology: Finding an Equation of a Least-Squares Line. Constrained Maxima and Minima and the Method of Lagrange Multipliers. Double Integrals. Summary of Principal Terms. Review Exercises. Answers to Odd-Numbered
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Calculus is a branch of Mathematics which examines change. It has two major disciplines: differential and integral calculus, with one being concerned with rates of change, while the other focuses on the accumulation of quantities. Thus, it can be seen that the applicability of this study extends into economics, engineering as well as any science.
Although Calculus does not stand apart from Algebra, both of these branches can be used to solve different problems. Algebra deals with structures utilizing letters and symbols to represent specific relationships between each other. However, since the relationship is fixed, it may not be applicable to use algebra to solve problems dealing with continuously changing relationships. Thus, calculus in this context can be a very useful as there are many non-theoretical relationships which rarely stay the same.
Exploring the basic terminology, a derivative is a measure of how the output of a specific function, which is not limited to y or f(x), changes as the input changes. An integral, also known as an antiderivative, is a function F whose derivative is the given function f. Both of these form the basic tools of calculus with numerous applications in everyday life. Thus, understanding basic Calculus may prove to be a practical tool for anyone.
1. A heated object is allowed to cool in a room temperature which has a constant temperature of To.
a. Analyse the cooling process.
b. Formulate mathematical model for the cooling process.
2. At time t= 0 water begins to leak from a tank of constant cross-sectional area A. The rate of outflow is proportional to h, the d
An even function is defined as f(x) = f(-x), and an odd function has -f(x) = f(-x).
The domain of a function is the set of input data that keeps the function defined.
Determine if the function f(x) = -2x^2 * absolute value(-6x) is even, odd, or neither.
Find the average rate of change for the function f(x) = 4/(x+3) between t
Consider the function: y = 15/4 - x/2 - x2/4.
a) Present the function in the turning point form.
b) Find the equation of the axis of symmetry and coordinates of the turning point. Determine whether there is a function maximum or minimum at this point? Substantiate
1. Evaluate the following indefinite integrals:
See attached
2. On a dark night in 1915, a German zeppelin bomber drifts menacingly over London. The men on the ground train a spotlight on the airship, which is traveling at 90 km/hour, and at a constant altitude of 1 km. The beam of the spotlight makes an angle θ with the
This question considers the motion of an object of mass m sliding on the outside of a cylinder of radius R whose axis is horizontal. The motion occurs in the vertical plane, and the surface of the cylinder is rough — the coefficient of sliding friction is μ'. The diagram below shows the position of the object when it is at an
We wish to determine whether the following integral is path-dependent:
I = f_c - 2ycos2xdx - sin2xdy
In the practice problems, you must:
- Determine if statement is correct
- Calculate the Jacobian of transformation
- Evaluate triple intergrals
Please see attachment for following problems.
Assume that un (sub n) belongs to the complete real normed vector space (V, ll.ll) for each n E N and that the series from n=1 to infinity - abs value( un+1 - un) converges. Show that the sequence {un} n=1 to infinity converges.
Hint: make use of the Cauchy criterion
V_cell = (I_cell)(R_esr) + (I_cellR_p)(1 - exp(-t/((R_p)(C_t)))
Calculate the equation for V_cell when R_p > infinity
Is the new equation the same as below? If yes, show how you arrive at this:
V_cell = (I_cell)(R_esr) + (I_cell)(t/C_t)
The population sizes of a prey, X, and a predator, Y (measured in thousands) are given by x and y, respectively. They are governed by the differential equations
ẋ = −pxy + qx and ẏ = rxy - sy (where p, q, r and s are positive constants (p ≠ r).
In the absence of species Y (i.e. y = 0), how would I find a solution
1. Consider the Dirichlet Problem where the temperature within a rectangular plate R is steady-state and does not change with respect to time. Find the temperature u(x,y) within the plate for the boundary conditions below and where (See attached)
2. Solve the Dirichlet problem for steady-state (constant with respect to t
View Details
Numerical mathematics is the way to solve mathematical problems in real life. With it, we find solutions that are "close enough". That is why numerical mathematics is an important part of any program of study requiring applied mathematics. So, of cou... READ MORE »
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MATLAB MATLAB MATLAB
Offering
8 subjects
including MATLAB
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Apply and extend previous understandings of numbers to the system of rational numbers.
Apply and extend previous understandings of multiplication and division to divide fractions by fractions.
Expressions and Equations
Apply and extend previous understandings of arithmetic to algebraic expressions.
Reason about and solve one‐ variable equations and inequalities.
Represent and analyze quantitative relationships between dependent and independent variables
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Intermediate Algebra Textbooks
Intermediate algebra textbooks are the next step from introductory algebra. Intermediate algebra textbooks expand on and introduce new concepts in addition to what students have already learned and an intermediate algebra textbook can be a secondary or post secondary required text. Intermediate algebra textbooks also make great resources for intermediate algebra help. Textbooks.com offers a wide variety of titles and editions for intermediate algebra textbooks available in new and used so you can buy cheap textbooks online and save
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The basic philosophy for the book is to provide easy-to-use classroom activities to instructors so that they can easily replace lecturing time with more active learning. The book also provides instruction tips and lesson plans so that any algebra instructor, especially new ones, can have a "mentor" to guide them and help them reflect on how students learn.
If you go to the Samples section of the Community Site, you can print and use some of the activities from the book in your classes. You can also see some of the fantastic new algebra cartoons that were commissioned as part of this project.
If you're looking for the sample assessments, you can use the chapter on systems of linear equations by downloading the file here or use some selected activities from a variety of sections by downloading the file here. Yes, you can copy these materials and use them in your courses! Enjoy!
If you become interested in these resources, there is a Student Workbook (published by Cengage) of activities for Elementary Algebra, Intermediate Algebra, and the combo of the two.
I have always tried to teach algebra in a way that is understandable, interesting, and active. Although you can find activities for teaching algebra to younger students (6th and 7th graders), I have never found a good classroom resource to use with adult students. Even in the resources for younger students, the activities always seem more like busywork, when they could provide an opportunity for students to truly understand difficult concepts or explore the similarities and contrasts that abound in mathematical procedures and ideas.
Today, I can finally release some of the activities that I have been writing all summer that will be available from Cengage Learning (used to be Thomson/Brooks-Cole) to accompany the Tussy/Gustafson 4ed Algebra Series. These are activities to be used in the classroom [Read more...]
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Description:
Mathematics Manual for Water and Wastewater Treatment Plant Operators provides a detailed and self-contained overview of the mathematics required by all plant operators, regardless of their level of licensure and experience. This single-volume text is a step-by-step training manual of math basics and advanced operator concepts and real-world problems.
The text discusses applied math concepts for pumping and filtration, as well as concepts specific to wastewater, such as biosolid digestion, dewatering, and disposal. The book concludes with a comprehensive workbook section containing more than 1,700 practical math problems that illustrate typical questions from the State licensure examinations.
The author has written Mathematics Manual for Water and Wastewater Treatment Plant Operators in straightforward, non-technical language. While the book is accessible to operators with little or no experience in plant operations, it is also valuable for those practitioners at the highest level of licensure. The book provides readers with a definitive understanding of and skill in performing the applied water/wastewater calculations essential for a successful career
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In Figure 25, the position x of the car depends on the time t. The graph associates a particular value of x with each value of t over the plotted range. In other circumstances we might know an equation that associates a value of x with each value of t, as in the case of the equation x = At + B that we discussed in Section 3. You can invent countless other ways in which x depends on t: for instance x =Telescopes may simply be used to collect the light from an astronomical object in order to measure its position, brightness or spatial distribution. However, it is often far more instructive to examine the spectrum of light from an object such as a star or galaxy, namely the distribution of light intensity as a function of wavelength.
The spectrum of a light source may be revealed in several ways, all of which involve making light of different wavelengths travel in different dire'll be concerned with what type of science forms the basis of science education, and for what purpose. You'll explore these issues by reading the text that follows and by tackling the activities that are included; there are also a number of readings. In the latter part of this unit (Sections 10–14) we'll consider some of the practical problems involved in delivering an effective curriculum in science and look at key questions relevant to all three educational tiers –set out the freedoms of the individuals and the limits of the decision-making powers over the citizens.
The treaty establishing a constitution for Europe was signed by the member states in October 2004. However, at the time of writing (2005), the process of ratification is in abeyance following the reject look at some different systems of numbers, and the rules for combining numbers in these systems. For each system we consider the question of which elements have additive and/or multiplicative inverses in the system. We look at solving certain equations in the system, such as linear, quadratic and other polynomial equations.
In Section 1 we start by revising the notation used for the rational numbers and the real numbers, and we list their arithmetical prop x lies on an edge, then each of the two points in [x] has a half-disc-like neighbourhood (see Figure 107). When we identify edges, these neighbourhoods fit together to form disc-like neighbourhoods in the Klein bottle
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Foundations of GeFoundations of Geometry, Second Editionimplements the latest national standards and recommendations regarding geometry for the preparation of high school mathematics teachers ; ... MOREemphasized, along with a historical development of geometry. The Second Editionstreamlines and reorganizes material in order to reach coverage of neutral geometry as early as possible, adds more exercises throughout, and facilitates use of the open-source software Geogebra.
Foundations of Geometry, Second Edition is written to help enrich the education of all mathematics majors and facilitate a smooth transition into more advanced mathematics courses. The text also implements the latest national standards and recommendations regarding geometry for the preparation of high school mathematics teachers— emphasized, along with a historical development of geometry. The Second Edition streamlines and reorganizes material in order to reach coverage of neutral geometry as early as possible, adds more exercises throughout, and facilitates use of the open-source software Geogebra.
This text is ideal for an undergraduate course in axiomatic geometry for future high school geometry teachers, or for any student who has not yet encountered upper-level math, such as real analysis or abstract algebra. It assumes calculus and linear algebra as prerequisites.
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Elementary Number Theory, Seventh Edition, is written for the one-semester undergraduate number theory course taken by math majors, secondary education majors, and computer science students. This contemporary text provides a simple account of classical number theory, set against a historical background that shows the subject's evolution from antiquity to recent research. Written in David Burton's engaging style, Elementary Number Theory reveals the attraction that has drawn leading mathematicians and amateurs alike to number theory over the course of
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L
ois Coles teaches algebra to eighth
graders in Brentwood, Tennessee.
Each year she has her students talk to
workers in careers that interest them, asking
for examples of how they use math in their
jobs.
Math is used in many occupations. And,
experts say, workers with a strong background
in mathematics are increasingly in demand.
"Employers are looking for math majors a
lot more than they used to," says Mike Breen
of the American Mathematical Society. That
equals prime opportunity for career-minded
math enthusiasts.
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Top 8 Calculus Resources
Calculus is the study of motion and change and can be very frustrating and overwhelming for many students. However, with a few of the recommended resources listed here, you will find that calculus doesn't have to be difficult to learn.
If you're familiar with the Dummy series, you'll appreciate the same format here with Calculus for Dummies. Don't let the name turn you off, this is a terrific resource! This companion can be used as a supplement for a beginning calculus course. Many examples, exercises and help sessions are included in this resource. Sticks to the basic concepts in calculus.
One of my favorites! A book that will assist you in learning the concepts of calculus. This is a great 'supporting' resource, written in a relativey easy to understand manner with clear explanations and a variety of examples and diagrams that will help you understand and visualize most concepts.
This revised text resource offers four practice exams in Calculus AB and four more in Calculus BC, all with answers and explanations. You'll find sections on functions and their graphs, derivatives and integrals, differential equations, sequences and series, and many applications. Not for the beginner calculus student.
Although this book is a self-teaching guide, it really is a Calculus refresher, not appropriate for those without some knowledge of calculus. It explains how to understand calculus in a more self directed manner. You'll find practical examples with real data. Both differential and integral calculus are addressed.
I really liked this beginner's guide to Calculus. It provdes a good reference to most of what you'll need in Calculus. You'll be provided with an easy overview of the algebra and trigonometry concepts needed to understand calculus functions and it uses a step by step approach. This supplemental resource will be a great asset to those just beginning to take Calculus. I wouldn't recommend it on its own - a great supplemental for first timers.
This is another one of my favorite calculus resource for the beginner calculus student. You'll find this a user friendly humorous approach to all the basic concepts in Calculus. This book has been named the 'streetwise guide' and there's no doubt if Calulus has frustrated you, this is your book. Note: Part 2 of this guide is listed below - 'How to Ace The Rest Of Calculus'
If you enjoyed How to Ace Calculus, then you'll quite like this one. It takes you to Calculus II or second semester of calculus. You'll find the following topics made easy: forms and improper integrals, polar coordinates, sequences and series, vectors, parametric coordinates, and graphing. Note: some users have found that there are some gaps in this book when comparing it with calculus II.
If you're like me, you like to see a step by step solution to calculus problems. This book is an amazing supplemental. If you're taking Calculus 1 or 11, this book has step by step solutions to many of the types of problems you'll be working on. A great resource.
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6.263J Data Communication Networks (MIT) 6.263J / 16.37J focuses on the fundamentals of data communication networks. One goal is to give some insight into the rationale of why networks are structured the way they are today and to understand the issues facing the designers of next-generation data networks. Much of the course focuses on network algorithms and their performance. Students are expected to have a strong mathematical background and an understanding of probability theory. Topics discussed include: layered network architecture, Author(s): Bertsekas, Dimitri,Modiano, EytReferencesAcknowledgements This unit is the third in the MSXR209 series of five units on mathematical modellng. It provides an overview of the processes involved in developing models, starting by explaining how to specify the purpose of the model. It then moves on to look at aspects involved in creating models, such as simplifying problems, choosing variables and parameters, formulating relationships and finding solutions. You will also look at interpreting results and evaluating models. This unit assumes that you have pr We all encounter symmetry in our everyday lives, in both natural and man-made structures. The mathematical concepts surrounding symmetry can be a bit more difficult to grasp. This unit explains such concepts as direct and indirect symmetries, Cayley tables and groups through exercises, audio and videoLicense information
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of the mostA Layered Framework for Evaluating Online Collaborative Learning Interactions Evaluating on-line collaborative learning interactions is a complex task due to the variety of elements and factors that take place and intervene in the way a group of students comes together to collaborate in order to achieve a learning goal. The aim of this paper is to provide a better understanding of group interaction and determine how to best support the collaborative learning process. To that end, we propose a principled framework for the study and analysis of group interaction and group s Author(s): Daradoumis Thanasis,Martinez Alejandra,Xhafa Fatos
Math in Society Math in Society is a free, open textbook. This book is a survey of mathematical topics, most non-algebraic, appropriate for a college-level topics course for liberal arts majors. The text is designed so that most chapters are independent, allowing the instructor to choose a selection of topics to be covered. Emphasis is placed on the applicability of the mathematics. Core material for each topic is covered in the main text, with additional depth available through exploration exercises appropriat Author(s): No creator set
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Can I Divide This Number By That Number? Divisibility Rules presented in an easy-to-understand slideshow. (28 slides)
Mathematical divisibility rules; correlates with Glencoe Mathematics Course 1: 1-2 and Pre-Algebra: 4-1. Author(s): No creator set
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With the spread of the powerhouse MATLAB software into nearly every area of math, science, and engineering, it is important to have a strong introduction to using the software. Updated for version 7.0, MATLAB Primer, Seventh Edition offers such an introduction as well as a "pocketbook" reference for everyday users of the software. It offers an intuitive... more...
This title sets forth a powerful alternative called OVMSP - Order-Verification via the Manufactured Solution Procedure. The authors present a step-by-step procedural guide to OVMSP implementation and demonstrate its effectiveness. more...
Contains lecture notes on four topics at the forefront of research in computational mathematics. This book presents a self-contained guide to a research area, an extensive bibliography, and proofs of the key results. It is suitable for professional mathematicians who require an accurate account of research in areas parallel to their own. more...
Featuring the C programming language to implement algorithms, this work provides a collection of linear approximation techniques that can be used to analyze, model, and compress discrete data in a variety of fields. It focuses on various L1, Chebyshev, and least squares approximations, including one-sided, bounded variables, and piecewise. more...
Features topics that include theoretical aspects of numerical techniques and algorithms as well as of applications in engineering and science. This book presents an overview of the modern methods, techniques, algorithms and results in numerical mathematics, scientific computing and their applications. more...
This text, based on the author's teaching at --Eacute--;cole Polytechnique, introduces the reader to the world of mathematical modelling and numerical simulation. Including numerous exercises and examples, this is an ideal text for advanced students in Applied Mathematics, Engineering, Physical Science and Computer Science. - ;This text, based... more...
Computational science is fundamentally changing how technological questions are addressed. The design of aircraft, automobiles, and even racing sailboats is now done by computational simulation. The mathematical foundation of this new approach is numerical analysis, which studies algorithms for computing expressions defined with real numbers. Emphasizing... more...
Written for graduate students in applied mathematics, engineering and science courses, the purpose of this book is to present topics in "Numerical Analysis" and "Numerical Methods." It will combine the material of both these areas as well as special topics in modern applications. Included at the end of each chapter are a variety of theoretical and... more...
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More About
This Textbook
Overview
What is calculus really for? This book is a highly readable introduction to applications of calculus, from Newton's time to the present day. These often involve questions of dynamics, i.e., of how—and why—things change with time. Problems of this kind lie at the heart of much of applied mathematics, physics, and engineering. From Calculus to Chaos takes a fresh approach to the subject as a whole, by moving from first steps to the frontiers, and by focusing on the many important and interesting ideas which can get lost amid a snowstorm of detail in conventional texts. The book is aimed at a wide readership, and assumes only some knowledge of elementary calculus. There are exercises (with full solutions) and simple but powerful computer programs which are suitable even for readers with no previous computing experience. David Acheson's book will inspire new students by providing a foretaste of more advanced mathematics and some of its liveliest
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More About
This Textbook
Overview
This little book is especially concerned with those portions of "advanced calculus" in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level. The approach taken here uses elementary versions of modern methods found in sophisticated mathematics. The formal prerequisites include only a term of linear algebra, a nodding acquaintance with the notation of set theory, and a respectable first-year calculus course (one which at least mentions the least upper bound (sup) and greatest lower bound (inf) of a set of real numbers). Beyond this a certain (perhaps latent) rapport with abstract mathematics will be found almost essential 9, 2002
a comment on the book's content
This excellent and concise treatment of the essential theorems of differential and integral calculus of several variables, is not the book described by the publisher's blurb displayed on this page. That blurb refers instead to another lovely book, Plateau's Problem, by Frederick Almgren.
1 out of 1 people found this review helpful.
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Anonymous
Posted July 8, 2002
highly recommended
This is one of the quickest and clearest introductions to the three essential results of advanced calculus: the inverse function theorem, the change of variables theorem for multiple integration, and 'Stokes' theorem' (a several variable version of the fundamental theorem of calculus due actually to Lord Kelvin) for differential forms on manifolds. There is a self contained introduction to the algebraic concept of alternating forms preceding the treatment of integrals of forms. There are a few gaps in some of the arguments, most of which are filled in a section of addenda at the back, but this is a really useful, efficient place to learn the results you simply must know to do most advanced mathematics. The proof of the inverse function theorem here is for finite dimensions, but you can learn the less frequently used infinite dimensional version when you need it.
1 out of 1 people found this review helpful.
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Quantum CAT: Quantitative Aptitude Common Admission Test For Admission Into IIMs is a comprehensive resource manual for students preparing for the mathematics section of the CAT.
Summary Of The Book
Sarvesh K. Verma presents an all-inclusive book for students who aspire to get a seat in leading Indian institutes for higher studies in subjects like management. Quantum CAT: Quantitative Aptitude Common Admission Test For Admission Into IIMs includes the topics pertaining to mathematics that need to be covered for the Common Admission Test (CAT). CAT is a computer-based examination conducted by the Indian Institutes of Management (IIM) to select students for their management programs. It tests the Verbal Ability, Quantitative Ability, Logical Reasoning, and Data Interpretation skills of a candidate.
The book provides exhaustive coverage of all the aspects of the Quantitative Ability section for the examination. Verma wraps up several of the core concepts of the subject such as Probability, Theory of Equations, Alligations, Permutation and Combination, Logarithm, Time and Work, Functions and Graph, Percentages, Averages Co-ordinate Geometry, Algebra, Series and Sequence, Profit, Loss and Discount, Set Theory, and Trigonometry.
Besides providing in-depth explanations for each topic being discussed, the book also consists of numerous solved examples to ensure that the students grasp the fundamentals clearly. Each chapter comprises questions from last years' papers to help students check their knowledge. One of the salient features of this book is that it offers solved papers for several other management-related exams besides CAT. So, students preparing for IRMA, FMS, MAT, SNAP, NMAT, TISS, and JMET can benefit from this reference book.
To provide a complete understanding of all the topics of the quantitative section, the book includes over 300 core concepts, 800 plus illustrated examples, and more than 4000 solved practice problems. It also discusses innovative methods to solve numerous problems. Additionally, the author incorporates a variety of questions to check ingenuity, pace of solving problems, and comprehension of the students.
Sarvesh has taken care of the needs of students with no mathematical background and for that he has provided exclusive tips and solutions for such readers. To help one's mathematical thought process, the book provides logical and diagrammatic solutions. Also those who are repeating their examination can learn more about next generation approaches along with exclusive score boosting techniques.
Quantum CAT: Quantitative Aptitude Common Admission Test For Admission Into IIMs also contains the solved CAT papers from 2003 to 2008.
About Sarvesh K. Verma
Sarvesh Kumar Verma is a bestselling writer famously known for his reference books written for the CAT.
The other book written by him is Latest, CATest & Quickest A Practice Book for Prometric CAT 2012.
Verma's style of using analogies and illustrations to simplify complex concepts and make it easy for the readers has made his books popular among students.
Verma is a management graduate in Accounts and Finance. He has helped numerous students prepare themselves for various entrance examinations. His areas of expertise are quality innovations and re-engineering in business. He is also a consultant for startups and entrepreneurs.
The 'certified buyer' badge indicates that this user has purchased this product on flipkart.com.
Fantastic Book
As I was randomly searching the site for a book of Quant. i came through this n was a bit confused in the beginning in deciding which one to go with out of arun sharma n quantum cat. then after going through some of the reviews i decided to go wid Quantum CAT n must accept dat its d best book for CAT available in the market.. one good feature of it, is dat at the beginning of every chapter n at some other points as well, brief explanation n the need to why to study that particular concept relating it to CAT's context is provided. then comes the conceptual part which has been explained very well n that too concisely supported by an ample no. of solved examples to get hold on the concept n then comes the exercise part wherein a huge no. of problems have been provided divided in 3-4 sections n all of them supported with their explanations at the end of the chapter... so friends don't worry about the contents n quality of d contents as far as quantum CAT is considered..
this is THE BEST book for cat and also other management exams....
everything is explained in detail...
i am fully satisfied with this book....
a must for every cat student who want to go to iim's...
Comprehensive explanation of each topic//.......
will suggest everyone to buy this book...
thats enough for cat......
thanks
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EXCELLENT BOOK
was randomly looking for CAT books on Flipkart, read a few comments about it and as almost all of them had positive review I decided to buy it instead of Arun Sharma which is the most commonly used book for Quant CAT.
Now after doing a few chapters from this book, I strongly recommend it for every CAT aspirant,
Features
=====================
a) Brief Explanation about the things you will encounter in the chapter at the start.
b) Sufficient number of solved examples to get your basics right.
c) Then Practice problem Divided in Three Levels and later giving solutions for the same.
This book is THE book to refer to, for CAT, MAT and all other competitive exams. I referred solely to this book for my preparation and this book helped me score an 87 percentile in CAT 2011 and a 98.56 percentile in the December 2011 MAT. My lesser percentile in the CAT is because I am poor in Maths, and this book managed to help me score a 93 percentile in the Quant/DI section.
This book is all that you need because not only does it offer tips and tricks (which are the creation of the author), but it also contains solutions to almost all the questions it contains. It is my opinion that the innovative short cuts, the detailed explanations and the methodology used in this were the sole reason for me being able to dispel all my fears regarding the monster that is the CAT.
This book helped boost my confidence when I was seriously lacking it, and I will remain eternally grateful to the author for this amazing work.
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Book DescriptionMore About the Author
Product Description
Review
This book can certainly be used to teach the standard course in discrete mathematics designed for computer science majors. The lighter touch of duck references does amuse you and does not ever overshadow or disguise the mathematical concepts. —Charles Ashbacher, MAA Reviews, August 2012
When I used Discrete Mathematics with Ducks in class, I assigned readings, and my students came to class full of questions and ideas. Every day we had a good time in one way or another; these classes were a highlight of my teaching career. I give a lot of credit to this book, thanks to the author's skill at blending rigor, great examples, casual humor, and precise writing. —David Perkins, author of Calculus and Its Origins
I had a lot of fun teaching from Discrete Mathematics with Ducks! ... I think the discovery/exploratory/problem solving approach is ABSOLUTELY the way this course should be taught, and of all the discrete books I have looked at, this text does the best job of supporting that kind of approach to the subject while still giving enough of the material in writing to fill in the gaps. ... I found that the material provided and the instructor notes cut down on my prep time, and I definitely referred to them. Having the in-class activities included is a huge benefit to this book. —Dana Rowland, Associate Professor of Mathematics, Merrimack College
... an incredible book ... readable by students, useful for instructors, and constructed with style and flair. This book will make it much easier to teach an exciting, student-centered discrete mathematics course that will also serve as an excellent introduction to advanced critical thinking, problem solving, and proofs. And there are ducks! —Douglas Shaw, Professor of Mathematics, University of Northern Iowa
I've taught discrete mathematics a half dozen times, using a half dozen books, and never saw a class come alive as when I used this textbook. The students were great, but they ALWAYS are great in discrete mathematics, so I am convinced that it was the book that lit a fire under us. The occasionally quirky examples kept things lively, but they were not the reason that every class was filled with speculations and inquiry and brand new discoveries. It's because the subject itself, discrete mathematics, is so fertile, and this book by sarah-marie belcastro illuminates it with articulate care.
15 of 17 people found the following review helpful
5.0 out of 5 starsFinally. Discrete Mathematics with Ducks.6 July 2012
By dead.letter.office - Published on Amazon.com
Format:Hardcover
There are all kinds of discrete math texts out there. Discrete Mathematics with Applications, Discrete Mathematics with Algorithms, Discrete Mathematics with Graph Theory. The list goes on. And yet somehow people had neglected (until now!) to publish a textbook presenting discrete mathematics with ducks. This book fills that gap.
sarah-marie belcastro's style is unique in all the world. She manages to convey important mathematical ideas to relative newcomers, and she does it in a way that is all her own. The book is playful and surprising, but she is a real mathematician and the mathematics is serious. It feels a bit like being taught mathematics over tea with a dormouse and a mad hatter by a teal-haired magician.
It's a minor miracle that she manages to present everything so informally and conversationally while having it be formally correct. The presentation can feel slightly unhinged, and feeling like you are wandering through a mathematical fairy tale (examples include cruel ogres distributing cupcakes to baby mice, and a deliberately and subtly flawed proof that all ducks are grey) might not agree with everyone, but I find it beautifully nonconformist and compelling. I am so glad this book exists.
5 of 5 people found the following review helpful
2.0 out of 5 starsMaybe I don't like ducks5 May 2013
By Michael A. Marsh - Published on Amazon.com
Format:Hardcover
This book should not be purchased as a textbook. It quacks more like a lab or exercise manual. Much better choices exist as a textbook such as Discrete Mathematics with Applications. I cannot imagine saving this book for future reference, unless it was for practice problems. The style is very informal and verbose which makes learning for the first time tedious and future review a slog. There are few illustrations, etc. for a visual learner. If you are using this book for computer science, I would again advise another book. While the author states in her introduction she wants to give a "taste of many flavors of discrete mathematics"....by avoiding Big-O notation, treatment of algorithmic efficiency, and finite state automata, she avoids being "computer science focused". Attention professors, while I understand an attempt at balance, this book is inappropriate if the primary consumers (students) are computer science majors. Perhaps, I am too critical. Maybe I don't like ducks.
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realgebra, 2e, is a book for the student. The authors goal is to help build students' confidence, their understanding and appreciation of math, and their basic skills by presenting an extremely user-friendly text that models a framework in which students can succeed. Unfortunately, students who place into developmental math courses often struggle with math anxiety due to bad experiences in past math courses. Developmental math students often have never developed nor applied a study system in mathematics. To address these needs, the author has framed three goals for Prealgebra: 1) reduce math anxiety, 2) teach for understanding, and 3) foster critical thinking and enthusiasm. The author's writing style is extremely student-friendly. He talks to students in their own language and walks them through the concepts, explaining not only how to do the math, but also why it works and where it comes from, rather than using the monkey-see, monkey-do approach that some books take. The second edition has been revised to include an increase in mid-level examples and exercises. In addition, the explanations and annotations are now more concise, yet keep the ever-important thoroughness that is the Carson style.
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How to Count: An Introduction to Combinatorics, Second Edition (Discrete Mathematics and Its Applications)
9781420082609
ISBN:
1420082604
Edition: 2 Pub Date: 2010 Publisher: C R C Press LLC
Summary: Allenby, Regnaud B. J. T. is the author of How to Count: An Introduction to Combinatorics, Second Edition (Discrete Mathematics and Its Applications), published 2010 under ISBN 9781420082609 and 1420082604. Five hundred seven How to Count: An Introduction to Combinatorics, Second Edition (Discrete Mathematics and Its Applications) textbooks are available for sale on ValoreBooks.com, one hundred five used from the che...apest price of $45.42, or buy new starting at $50.08.[read more]
ISBN-13:9781420082609
ISBN:1420082604
Edition:2nd
Pub Date:2010 Publisher:C R C Press LLC
ValoreBooks.com is the top book store for cheap How to Count: An Introduction to Combinatorics, Second Edition (Discrete Mathematics and Its Applications) rentals, or new and used condition books for purchase.
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Essentials of Mathematics K-6 - 06 edition
Summary: Using national and state standards to guide your math program is just a start. You still have to decide how to apply the standards in your curriculum, determine when students should learn different content, and decide which programs and textbooks will help you make math come alive in the classroom. That's where this new ASCD resource comes in. Priorities in Practice: The Essentials of Mathematics K-6 explores how educators--from classroom teachers to central of...show morefice administrators--are tackling these major challenges in math education:
Emphasizing algebraic thinking, problem solving, and communication
Relying on research to guide the implementation of new teaching practices
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Precalculus: Graphs and Models - 5th edition
Summary: The Graphs and Models series by Bittinger, Beecher, Ellenbogen, and Penna is known for helping students ''see the math'' through its focus on visualization and technology. These texts continue to maintain the features that have helped students succeed for years: focus on functions, visual emphasis, side-by-side algebraic and graphical solutions, and real-data applications. With the Fifth Edition, visualization is taken to a new level with technology. The authors also in...show moretegrate smartphone apps, encouraging readers to visualize the math. In addition, ongoing review has been added with new Mid-Chapter Mixed Review exercise sets and new Study Guide summaries to help students prepare for tests109141.00
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Surveys mathematical topics for those interested in the presentation of mathematics at the K-9 levels. Various manipulatives and problem solving approaches are used to explore rational numbers (fractions, decimals, percents), integers, the set of irrational numbers, the set of real numbers, and simple probability and statistics. Prerequisite: MTH 211 and its prerequisite requirements. Audit available.
Surveys mathematical topics for those interested in the presentation of mathematics at the K-9 levels. Various manipulatives and problem solving approaches are used to explore informal geometry, transformational geometry, and measurement systems. Prerequisite: MTH 211 and its prerequisite requirements. Audit available.
Use both English and Metric measurements, conversions, temperature, and to write, manipulate, interpret, and solve applications and formula problems. Concepts will be introduced numerically, graphically, symbolically, and in oral and written form. Scientific calculator with fraction capabilities required. Prerequisite: placement into MTH 20 and RD 90. Audit available.
Includes infinite sequences and series (emphasis on Taylor series), an introduction to differential equations, and vectors in three space. Graphing calculator required. Prerequisites: MTH 252 and its prerequisite requirements. Audit available.
Introduction to algebraic concepts and processes with a focus on linear equations and inequalities in one and two variables. Applications, graphs, functions, formulas, and proper mathematical notation are emphasized throughout the course. A scientific calculator is required. Prerequisites: MTH 20 and placement into RD 90. Audit available.
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MATLAB: An Introduction with Applications
9780471439974
ISBN:
0471439975
Edition: 1 Pub Date: 2003 Publisher: Wiley & Sons, Incorporated, John
Summary: This practical guide offers a beginner2s introduction to understanding and using MATLAB®. Starting with basic features, the book covers everything needed to use the program effectively, from simple arithmetic operations with scalars to creating and using arrays to three-dimensional plots and solving differential equations. Detailed images of computer screens, tutorials, worked examples, and homework questions in math..., science, and engineering make mastering the program efficient and thorough. Users gain experience running MATLAN® with examples incorporated throughout the book. Topic explanations within framed boxes help users learn the program and its commands in an easy-to-use format. Sample programs, applications, and homework problems allows instructors to show how MATLAB® is used in science and engineering. Subject matter includes script files, 2-D and 3-D plotting, function files, programming (flow control), polynomials, curve fitting, interpolation, and applications in numerical analysis.
Gilat, Amos is the author of MATLAB: An Introduction with Applications, published 2003 under ISBN 9780471439974 and 0471439975. One hundred twenty eight MATLAB: An Introduction with Applications textbooks are available for sale on ValoreBooks.com, fifteen used from the cheapest price of $2.39, or buy new starting at $25.63
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This eBook introduces quadratic graphs and equations, from exploring the characteristics of quadratic graphs, to considering the standard form of the quadratic equation, factorising the quadratic and completing the square. More
This eBook introduces quadratic graphs and equations, from exploring the characteristics of quadratic graphs, to considering the standard form of the quadratic equation, factorising the quadratic and completing the squareQuadratic Graphs and Equations is a module within the Number and Algebra
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Linear Transformations are at the heart of many applications of Linear Algebra, most notably game and graphics programming. The CSS specification even describes Linear Transformations for many common formatting techniques like italicization or scaling fonts. This tutorial will introduce the concepts of Linear Transformations, as well as using matrices to represent transformation. In support of these concepts, defining vectors in terms of bases will also be discussed.
Defining a Linear Transformation
A Linear Transformation is a function that operates on Vector Spaces, with the two following properties:
T(x + y) = T(x) + T(y)
T(cx) = cT(x) (c is a constant in the Field)
Thus, to prove a function is a linear transformation, it is only necessary to show that the above properties hold. Consider some familiar linear transformations: the derivative and integral.
Let T: P3® -> P3® by the transformation T(f(x)) = f'(x). Since a derivative is a limit, (f(x) + g(x))' = f'(x) + g'(x) by the limit rules. Similarly, scalar constants can be pulled out front by the limit rules, so (kf(x))' = kf'(x). Thus, T is a linear transformation. The proof to show an integral holds as a linear transformation works in essentially the same manner.
Vectors as Basis Coordinates
Before proceeding to evaluating linear transformations as matrices, it is first important to understand how to treat vectors as coordinates with respect to bases. First, let's introduce the term ordered basis. An ordered basis simply orders the elements, which is important in treating a vector as a coordinate. Consider the (x, y) plane. In (x, y) coordinates, the x-coordinate comes first and the y-coordinate comes second. So an ordered basis for R2 would be {(0, 1), (1, 0)}. This means that an (x, y) coordinate represents the linear combination x * (1, 0) + y * (0, 1).
Similarly, if the mapping of R2 was done using (y; x) coordinates, then the ordered basis would be {(0, 1), (1, 0)} with the vectors written in terms of y * (0, 1) + x * (1, 0).
Solving for the (x, y) vector yields the result 1/5 * (11, 3). So (5, 4) is expressed as 1/5 * (11, 3) when using the basis B rather than the standard basis for R2.
Linear Transformations as Matrices
Linear Transformations (in the form T(v) = x) can be represented as matrices in the form: Av = x. So through matrix multiplication, v is mapped to x. This representation provides a number of tools for analyzing linear transformations with regards to topics like invertibility, isomorphisms, and eigentheory, which will be covered in later tutorials.
The first step however is to discuss how to represent a linear transformation as a matrix. For any vector space, there are often times an infinite number of bases, and the matrix representation is dependent on the bases used. Specifically, the matrix takes the basis vectors for the domain's basis, and transforms them into vectors based on the codomain's basis. Remember that basis vectors are analogous to coordinate axes, so think about the transformation matrix as mapping points from one vector space using the standard (American) system to another vector space using the metric system. The basis vectors just provide units of measurement.
This matrix can be determined quite algorithmically. The first step is to take a basis vector and transform it, so find T(Di) for basis D. Next, write T(Di), the vector in the codomain, in terms of the codomain basis. So if there are bases D (domain) and C (Codomain), the transformation matrix can be written as [T]DC.
The first step is to transform in the first basis vector in D, which leaves T(1, 3) = (7, 3, 5). As C is the standard basis for R3, the resultant of the transformation will not need to be rewritten.
The second basis vector in D, when transformed, leaves T(2, 1) = (4, 1, 5). Thus, A = [T]DC can be written as follows:
7 4
3 1
5 5
Notice that when evaluating: A * (1, 0) = (7, 3, 5), which is the result of T(1, 3). The reason that (1, 0) is used is because it is written in terms of the basis vectors for D. Thus, (1, 0) is a point along the axes (basis vectors in D). Another way of saying this is that (1, 0) contains the coefficients of the linear equation: 1(1, 3) + 0(2, 1). This is an important point to remember when both developing and using transformation matrices. When the standard basis is not used, vectors will have to be rewritten in terms of "units" of the basis vectors used. Thus, (1, 0) is one unit of (1, 3) and zero units of (2, 1).
Composite Transformations
Often times, composite transformations are necessary to achieve a desired result. Throughout prior algebra and calculus classes, it is common to see composite functions such as f(g(x)). The notation is the same with linear transformations. It also follows that since the matrices can be used to represent linear transformations, matrix multiplication can be used to achieve the transformations. Since matrix multiplication is not commutative, the order of the matrices matters in the matrix representation of composite transformations. The rule is that the inner function's matrix goes to the right of the outer function's matrix. So T(U(v)) is represented by [T][U], where [T] and [U] are the matrix representations
of the respective linear transformations.
Consider scaling in two dimensions. So the transformation would look something like what is below.
|a b| * |x|
|c d| |y|
What would the final matrix look like if the intent was to scale the x-coordinate by 2 and the y-coordinate by 3? Let's look at these as two distinct transformations- scaling the x-coordinate by 2, and scaling the y-coordinate by 3.
Consider the transformation T(x, y) = (2x, y), which scales the x-coordinate by 2. Using the standard basis for R2 (which is {(1, 0), (0, 1)}, the matrix for T can be derived by plugging in the basis vectors. So:
T(1, 0) = (2, 0)
T(0, 1) = (0, 1)
Thus, the matrix is:
|2 0|
|0 1|
Similarly, the matrix for scaling the y-coordinate by 3 would look like:
|1 0|
|0 3|
Multiplying these two matrices produces a transformation matrix that scales the x-coordinate by 2 and the y-coordinate by 3. Both the intermediate and final matrices are written in terms of the standard basis for R2. So the final matrix is:
|2 0|
|0 3|
Applying this logic to a more general case, the Aii entry in the transformation matrix is used to scale the ith component in the vector. This has clear and direct applications to scaling images.
Another type of transformation is the skew-symmetric transformation. Visually, this transformation would change a square or rectangle into a parallelogram. The rule for a skew-symmetric transformation is that the matrix representation of the transformation U, call it [U], is equal to -[U]T, which represents the transpose of the matrix. Thus, [U]ij = -[U]ji. An application of this transformation would
be italicizing fonts. So now linear algebra provides toolsets for scaling and italicizing text.
Finally, consider rotation in R2. The rotation matrix is in the form:
|cos(t) -sin(t)|
|sin(t) cos(t)|
From basic trig, it is known that x = cos(t) and y = sin(t) on the unit circle. Thus, the transformation matrix, aplied to the first vector in the standard basis for R2.
|a b| * |1| = |cos(t)|
|c d| |0| |sin(t)|
This forces a = cos(t) and c = sin(t). Applying the transformation matrix to (0, 1), the second vector in the standard basis for R2, yields b = -sin(t) and d = cos(t). Thus, the transformation matrix.
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book, Houston has created a primer on the fundamental abstract ideas of mathematics; the primary emphasis is on demonstrating the many principles and tactics used in proofs. The material is explained in ways that are comprehensible, which will be a great help for people who seem to hit the wall regarding what to do when confronted with the creation of a proof... In this book, Houston takes a systematic and gentle approach to explaining the ideas of mathematics and how tactics of reasoning can be combined with those ideas to generate what would be considered a convincing proof." Charles Ashbacher, Journal of Recreational Mathematics "The author provides concise, crisp explanations, including definitions, examples, tips, remarks, warnings, and idea-reinforcing questions. Houston expresses thoughts clearly and concisely, and includes succinct remarks to make points, clarify arguments, and reveal subleties." W.R. Lee, Choice MagazineRead more...
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Wednesday, August 19, 2009
This book contains lOO problems for undergraduate students training for mathematics competitions, particularly the William Lowell Putnam Mathematical Competition. Along with the problems come useful hints, and in the end Oust like in the fairy tales) the solutions to the problems. Although the book is written especially for students training for competitions, it will also be useful to anyone interested in the posing and solving of challenging mathematical problems at the undergraduate level.
We make no claims that our solutions are the "best possible" solutions, but we trust you will find them elegant enough, and that The Green Book will be a practical tool in the training of young competitors.
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Here are the two examples I went over in class on Wednesday, October 9 introducing composition of functions
(section 2.4).
Here are some more examples of functions that could be either linear or exponential (section 4.2). We did some of these in class, but not all of them. Worked out solutions
to all of the examples are here.
On Tuesday, October 29 we worked on a worksheet to practice compouding interest and derive the continuously compounding interest formula (section 4.5). And here
are the solutions.
Here is the handout with all four money formulas on it. And here is a longer document explaining the different formulas, how to use each one (with some examples) and an
explanation of how to decide which formula to use.
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This undergraduate text takes a novel approach to the standard introductory material on groups, rings, and fields. At the heart of the text is a semi-historical journey through the early decades of the subject as it emerged in the revolutionary work of Euler, Lagrange, Gauss, and Galois. Avoiding excessive abstraction whenever possible, the text focuses on the central problem of studying the solutions of polynomial equations. Highlights include a proof of the Fundamental Theorem of Algebra, essentially due to Euler, and a proof of the constructability of the regular 17-gon, in the manner of Gauss. Another novel feature is the introduction of groups through a meditation on the meaning of congruence in the work of Euclid. Everywhere in the text, the goal is to make clear the links connecting abstract algebra to Euclidean geometry, high school algebra, and trigonometry, in the hope that students pursuing a career as secondary mathematics educators will carry away a deeper and richer understanding of the high school mathematics curriculum. Another goal is to encourage students, insofar as possible in a textbook format, to build the course for themselves, with exercises integrally embedded in the text of each chapter.
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Combinatorics
Focusing on the core material of value to students in a wide variety of fields, this book presents a broad comprehensive survey of modern ...Show synopsisFocusing on the core material of value to students in a wide variety of fields, this book presents a broad comprehensive survey of modern combinatorics at an introductory level. The author begins with an introduction of concepts fundamental to all branches of combinatorics in the context of combinatorial enumeration. Chapter 2 is devoted to enumeration problems that involve counting the number of equivalence classes of an equivalence relation. Chapter 3 discusses somewhat less direct methods of enumeration, the principle of inclusion and exclusion and generating functions. The remainder of the book is devoted to a study of combinatorial Third edition, writing on front cover, Item is intact,...Fair. Third
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Here's the perfect self-teaching guide to help anyone master differential equations--a common stumbling block for students looking to progress to advanced topics in both science and math.
From the Publisher: Here's the perfect self-teaching guide to help anyone master differential equations--a common stumbling block for students looking to progress to advanced topics in both science and math. Covers First Order Equations, Second Order Equations and Higher, Properties, Solutions, Series Solutions, Fourier Series and Orthogonal Systems, Partial Differential Equations and Boundary Value Problems, Numerical Techniques, and more.
Praise
From review by M. Henle, Oberlin College||
Differential equations is an important subject that lies at the heart of the calculus. Here one sees how the calculus applies to real-world problems. Differential Equations DeMystified, (to use the spelling on the cover) is ...a serious, straightforward work. In style and substance this book is like standard differential equations books...The emphasis is consistently...on the computations needed to find...solutions to specific equations...
Krantz asserts that if calculus is the heart of modern science, differential equations are the guts. Writing for those who already have a basic grasp of calculus, Krantz provides explanations, models, and examples that lead from differential equations to higher math concepts in a self-paced format. He includes chapters on first-order and second-order equations, power series solutions and spatial functions, Fourier series, Laplace transforms, numerical methods, partial equations and boundary value problems. His models come from engineering, physics and other fields in math. He includes solutions to the exercises and a final exam.
Description:
An elementary introduction to stochastic calculus using the symbolic computation
program MAPLE. It provides an overview and intuitive background for more advanced studies as well as practical skills in the use of MAPLE. As prerequisites the authors assume a ...
Description:
The book could be a good companion for any graduate
student in partial differential equations or in applied mathematics. Each chapter brings indeed new ideas and new techniques which can be used in these fields. The differents chapters can ...
Description:
This second in the series of three volumes builds upon
the basic theory of linear PDE given in volume 1, and pursues more advanced topics. The book also develops basic differential geometrical concepts centred about curvature.eBooks: Kobo. Book Format: Hardcover. Edition: 0002. ...
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More About
This Textbook
Overview
This classic, written by two young instructors who became giants in their field, has shaped the understanding of modern algebra for generations of mathematicians and remains a valuable reference and text for self study and college
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Calculus is traditionally divided in two areas, differential and integral. The area of differential calculus is mainly concern the concept of instantaneous rate of change, whereas integral calculus is about the concept of total change. These two areas blend perfectly in many fields of science, such as physics and engineering. If you can not explain things like that then you should find a way to do so. We generally judge a student's intelligence based on his skill and interest in mathematics. None of us is born intelligent and brainy. It depends on each one's interest to learn things quickly and easily. When it comes to mathematics also, the same thing matters. And now, if you are a math lover, then here is something you got to know about Calculus. Calculus is a branch of mathematics that deals with rate of change, area and volume. For example, if you are able to calculate the area of a rectangle with an algebraic formula, then using a calculus formula you can calculate the area under any curve.
Calculus problems might be a scary connotation to a lot of people, since it has long complicated equations and associations that makes it threatening for a lot of people to take the first class of the calculus sequence. Almost all modern physics, economics and other sciences use calculus as a foundation. Finally, calculus is abundant in everyday life. From designing a roller coaster to a baseball stadium, calculus proves its worth. Even meteorologists are required to take calculus in their studies. NASA uses calculus to send their spacecraft's into space, and to determine orbits for satellites. Oil companies use it to discover new sources of oil. Doctor's employ it into their most difficult diagnosis, and prosecutors use it to successfully prosecute their cases. Most of us thought we would never use calculus again.
1. Lower your thermostat at night and whenever the house is unoccupied. Close off and don't heat unoccupied rooms (unless you have a heat pump). If you consistently set your thermostat back at night 10 degrees Fahrenheit, you may reduce your heating bill by 10-20 percent.
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Workshop Description
This course will focus on the importance and relevance of mathematics prior to Algebra I, Algebra II and Geometry as well as emphasizing the language of Algebra, solving equations and inequalities, linear functions, non-linear functions, data interpretation and probability. Critical thinking skills will be explored. Participants will use multi-representational approaches to look at problems analytically, graphically, numerically, and verbally. They will explore internet websites and various forms of technology to increase comprehension and be introduced to hands-on activities that will supplement and enhance their teaching techniques. There will be discussions about best practices and strategies to successfully implement inquiry-based learning activities. Participants will share ideas and best practices and be asked to present at least one of the best practices they use in their classrooms with the rest of the class.)
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Products developed in print, video, and multimedia formats, supporting the NCTM Standards. College undergraduate resources include real world mathematics texts and resources in print, video, software, and student contests. Products: Principles and Practices of Mathematics - A first course that teaches mathematics as a subject much broader than calculus. Against All Odds: Inside Statistics - An introductory statistics course that uses PBS video and a text to demonstrate how data analysis is used in today's world. For All Practical Purposes A liberal-arts mathematics text and PBS video series where students learn that mathematics is a tool used by professionals in a wide range of jobs. Algebra: In Simplest Terms - A PBS video course where students use real data and actual problems to learn introductory algebra. The UMAP Library on CD-ROM - A collection of over 400 undergraduate units that teach mathematical ideas in the context of real-world problems in music, history, biology, physics and marketing, for learning mathematics from pre-algebra to numerical analysis. Services: Intermath A project to develop interdisciplinary curricula at selected universities around the country. Contests: Mathematical Contest in Modeling (MCM) - Teams of three undergraduates work together over a weekend to solve modeling problems. MathServe - A contest where teams of undergraduates work with a faculty advisor to develop innovative solutions to community problems using mathematics and skills from other disciplines.
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Offerta formativa
Facoltà
Semestre
Anno accademico
ECTS
Riferimenti bibliografici
Descrizione
Calculus is an important building block in the education of any professional
who uses quantitative analysis. In this course we introduce the concepts that
are particularly relevant to informatics and computational science. After finishing
this course, students possess the mathematical skills required for solving
basic problems in a formal and structured way and they will have developed
good understanding of differential and integral calculus.
Contents
In this course we cover the following topics: numbers, sequences, convergence,
series, functions, continuity, differentiation, integration. We mainly
stick to real numbers and functions in one variable. Whenever possible, we
highlight the applications of the theoretical concepts taught in the lectures
and part of the homework assignments and exercise classes are devoted to
the implementation of numerical algorithms that help to practically experience
the mathematical concepts.
Teaching Mode
Two lessons (lecture or exercise classes) of two hours each per week. A combination
of graded assignments and a final exam determines the grade. Attendance
is mandatory.
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APPLIED MATHEMATICS
by PHAGAN
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Description
Applied Mathematics provides easy-to-understand instruction in math skills. It makes use of numerous practical and realistic sample problems drawn from the building trades, the machining/ manufacturing and automotive industries, and other technical areas to provide students with real-world applications of math skills.
Learning new concepts is made easy by the structure of each chapter. Sample Problems accompany new concepts to show each step in the process involved. Practice Problems appear at the end of each major concept. Test Your Skills Problems cover all concepts taught throughout the chapter. Problem-Solving Activities allow students to relate concepts learned in the chapter to real-world problem solving with tools and materials.
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Odyssey Algebra
04/01/05
CompassLearning ( has expanded its entire suite of Odyssey products, including Odyssey Algebra for middle schools and secondary education. The browser-based curriculum will help teachers offer a comprehensive approach to math education, while providing a platform that supports a variety of instructional strategies and learning styles. Odyssey Algebra has 13 chapters and 131 objectives to cover in an entire school year. The curriculum's online features include interactive tutorials that are woven throughout the program and aids such as online calculators, graph paper, number lines, protractors, spreadsheets and rulers. The program also provides additional offline materials for students that are designed to extend learning beyond the classroom
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Island, TX Precalculus progressive, that is one needs to have a firm grasp on previous math instruction in order to progress successfully in later math courses. This is especially true of calculus and its foundation of algebra. For instance, if one has a complicated fraction, it may be nearly impossible to fi...
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Getting Started Computational Introduction to Programming, Mathematical Modeling, and Elementary Mechanics
Collection Properties
Summary: Computational Computer Science - Zero introduces students to the basics of programming through multimedia, and then uses these programming techniques to examine basic functions that draw lines and curves. At the end of the course students use these same techniques to explore the principles underlying familiar physical processes.
Computational CS-Zero uses easily taught and adaptable programming concepts as a framework for modeling the behavior of physical objects. The course reinforces the concepts and intuitions of pre-calculus and mathematical modeling by engaging students in hands-on simulations of physical systems. Computational CS-Zero teaches the foundations of programming while promoting mathematical competence necessary for academic success.
Computational CS-Zero is sponsored by NSF's CCLI program and is a participant in the Computing Alliance of Hispanic Serving Institutions
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Math 490
Seminar
Spring 2011
1. Math 490 seminar: Topics in Group Representations and Character Theory
Instructor: George Rublein (gtrubl@math.wm.edu)
The topic for this section of the senior
seminar will be group representations and character theory. Character
theory is a basic tool in the study of symmetry. My hope is that
we will see some applications to symmetries in
the solution of differential equations. We will use a text: Lederman, Introduction
to Group Charaters. Students who have taken Math 307 are
encouraged to enroll.
2. Math 490 seminar: Topics in Mathematical
Biology
Instructor: Sarah Day (sday@math.wm.edu)
Mathematical biology is a rapidly growing
field that utilizes a variety of interesting mathematical techniques in
studying biological processes. In this seminar, students will choose projects
from the field of mathematical biology, make presentations to the class,
and write a paper on their work. Possible topics include phylogenetic
trees, population dynamics, molecular evolution, genetics, and infectious diseases.
Students in the Applied Mathematics track are especially encouraged
to enroll.
Spring 2009
Reaction-diffusion (R-D) systems are some of the most widely used models in situations where spatial dispersal plays significant role. We will learn some theory of reaction-diffusion equations in the context of models in mathematical biology. Applications to be discussed in class include spatial spread of genes and of diseases, random dispersal of population, random and chemotactic motion of microorganisms, cellular maturation, pattern formations in developmental biology and morphogenesis, and animal coat patterns (why zebra has the stripes......). While introducing many biology models, we will also develop related mathematical theory and methods like, diffusion mechanism, waves, bifurcation theory, Turing's instability mechanism. Computation and simulation of solutions will be used throughout the class. (We are going to use software Maple and Matlab, but no prior knowledge is required.)
Recommended prerequisite is Math 302 (Differential equations) or Math 345 (Mathematical Models in Biology). An interested student who has not take Math 302 or Math 345 can read up on the necessary background material between semesters.
2. Math 490 Seminar: Math 490-02 (Discrete Optimization)
Instructor: Rex Kincaid (rrkinc@math.wm.edu)
Discrete optimization problems are those problems with decisions that are logical (yes/no) or countable. Both exact and heuristic methods for discrete optimization models will be presented in the course. Topics include relaxation techniques, constructive heuristics, improving search techniques (simplex method, simulated annealing, tabu search and genetic algorithms), branch and bound schemes, and valid inequalities for branch and cut methods.
Recommended pre-requisite is Math 323. An interested student who has not take Math 323 can read up on the necessary background material between semesters.
Fall 2007
1. Math 490 Seminar: Investigating Linear Algebra
Instructor: Charles Johnson (crjohnso@math.wm.edu)
With the assistance of the instructor, each student will choose either a research topic (appropriate for the student's background) in elementary linear algebra to be explored, or a well-developed topic in advanced linear algebra to be learned. The instructor will suggest a number of research topics fitting into broader questions, and will offer a list of advanced topics (e.g. linear matrix equations. Lyapunov's theorem, special classes of matrices, etc.) for students in the course. In each case, participants will be guided by the instructor, will write about their progress, and will give two talks to the group as a whole about their work. Enrollment in the course will be limited and students need to consult with the instructor before registering for the course.
2. Math 490-01 Senior seminar.
(targeted for but not limited to prospective teachers)
Instructor: Chi-Kwong Li (ckli@math.wm.edu)
In this seminar, we will study various approaches in teaching and learning mathematics in different countries, and different time of history. We will also consider different methods in generating interest in studying mathematics. One focus will be on finding interesting problems in recreative, applied or theoretical settings that may stimulate interest in studying mathematics. Students are required to do one or two projects on the above themes.
Spring 2007
1. Senior Seminar
Instructor: Leiba Rodman (lxrodm@math.wm.edu)
Description: Students will study a narrow topic of mathematics, make oral presentations for discussion in class, and write a report. The topic need not be the same for all students. The choice of topic(s) is flexible and may reflect particular interests of each student.
Homology is used to study a pattern generated from a nonlinear partial differential equation. Another application of computational topology is in numerical studies of dynamical systems. Numerical techniques based on topological tools are now being used to prove the existence of chaos in dynamical systems models in fields from ecology to mechanics. In this course we will study the mathematical theory behind homology, discuss efficient means of computation, and study applications. Related topics include techniques for image processing and the efficient implementation of algorithms on large data sets. This will be a discussion based class and students are encouraged to pursue and present individual topics of interest related to the course material.
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This is the Introductory lecture to a beginner's course in Algebraic Topology given by N J Wildberger of the School of Mathematics and Statistics at UNSW in 2010.
This first lecture introduces some of the topics of the course and three problems.
His YouTube site "Insights into Mathematics" at under user: njwildberger also contains series on MathFoundations, History of Mathematics, LinearAlgebra, Rational Trigonometry and even one called Elementary Mathematics (K-6) Explained.
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Excursions in Modern Mathematics -Std. Resource Gd - 7th edition
Summary: In addition to the worked-out solutions to odd-numbered exercises from the text, this guide contains selected hints that point the reader in one of many directions leading to a solution and keys to student success, including lists of skills that will help prepare for the chapter exams.
032157519964 +$3.99 s/h
VeryGood
BookCellar-NH Nashua, NH
0321575199
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