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From the Publisher: Mathematical thinking provides a clear, crisp way of defining problems. Our whole technology is based on it. What is less appreciated is that mathematical thinking can also be applied to problems in the social and behavioral sciences. This book illustrates how mathematics can be used to understand human and animal behavior, using examples in psychology, sociology, economics, ecology, and even marriage counseling.
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More About
This Textbook
Overview
If You're Serious About Your Career,Use the Most Comprehensive GRE Guide on the Market Today!
REA's NEW GRE Mathematics Test Prep Gets You into Grad School!
Higher
Designed
The
Read an Excerpt
ABOUT THIS BOOK
This book provides an intensive, complete review of all the math
essentials you need to know to master the GRE Mathematics Subject Test.
It is our intention to provide practice that is somewhat more demanding
than the test itself, so that you can be confident come Test Day. Our goal
is to help the student reach a high level of math competence.
Inside this book you'll find six full-length REA practice tests based on the format
of the most recently administered GRE test, but even more challenging.
Like the GRE test itself, each of our model tests lasts two hours and 50
minutes. Each one includes every type of question you can expect to
encounter on the actual exam. We also give you an answer key complete
with detailed explanations that spell out how the correct answers were
arrived at. By completing all six practice exams and studying the
explanations that follow, you can discover your strengths and weaknesses
and become well prepared for the actual exam.
To help you brush up on the subject matter, the book also features
281 pages of topical reviews, summarizing the essentials of the various
topics covered on the GRE Mathematics test. Again, our approach is to
cover all the ground necessary to fully frame the test. Our reviews are
designed to work as an at-a-glance overview of the many topics the test
covers. Should you require more detailed coverage, you'll want to consult
a textbook whose contents parallel the topical coverage of the GRE.
ABOUT THE TEST
The GRE Mathematics Test is offered three times a year by Educational
Testing Service, under the direction of the Graduate Record
Examinations Board. Applicants for graduate school submit GRE test
results together with other undergraduate records as part of a highly
competitive admission process.
The questions on the test are composed by a committee of specialists
who are selected from various undergraduate and graduate faculties
across the U.S. This test consists of 66 multiple-choice questions. Some
questions are grouped together under a particular diagram and/or graph.
Emphasis is placed on these areas:
I. Calculus (50%)
Material learned in the usual sequence of elementary
calculus courses—differential and integral calculus of one and
of several variables—includes calculus-based applications and
connections with coordinate geometry, trigonometry, differential
equations, and other branches of mathematics.
II. Algebra (25%)
A. Elementary algebra: basic algebraic techniques
and manipulations acquired in high school and used throughout
mathematics
B. Linear algebra: matrix algebra, systems of linear
equations, vector spaces, linear transformations, characteristic
polynomials, eigenvalues and eigenvectors
C. Abstract algebra and number theory: elementary
topics from group theory; the theory of rings and modules, field
theory, and number theory
This list is by no means all-embracing. (You may, for example,
face questions asking you to find the correct mathematical model to
represent a "real-life" situation.) The test requires more than simple
recall: It gauges both your understanding of fundamental concepts and
your ability to apply these concepts in specific situations. Because of
the wide gamut of coursework in undergraduate mathematics, not all
the material that you may have studied will be presented on the exam.
Rather, the questions are based on the courses of study most commonly
offered in an undergraduate mathematics curriculum.
SCORING YOUR PRACTICE TESTS Each correct answer receives one "raw score" point, each incorrect answer
deducts one-quarter of a point, and any omissions are not counted.
Your scaled score is what is sent on to the colleges, and your estimated
percentile rank shows how you stack up against other students who have
taken the exam in a recent three-year period.
While taking REA's practice tests, it is critical to observe the same
conditions that you will find during the actual test administration:
• Work in a quiet place, free from distractions and interruptions.
• Do not use any reference materials, calculators, or slide rules
since these items cannot be used during the test.
• Work straight through each test. There are no breaks during the
actual exam.
• Time yourself accurately, if possible with a wristwatch, stopwatch
or clock alarm. Looking up to check the time will act as a
distraction (watches with alarms or flashing lights are not permitted at
the testing center).
• Since incorrect answers are each penalized one-quarter of a point,
and unanswered questions are not counted, it is not generally a good
idea to guess. However, if you are able to eliminate one or more of the
answers, guessing may be to your advantage statistically (that is, your
odds of choosing the correct answer will improve
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CHEGG TEXTBOOK SOLUTIONS FOR
Hutchinson s Basic Mathematical Skills With Geometry8th Edition
Chapter
Problem
Work with another student to complete this exercise. Place >, <, or = in the blank in these statements.
What happens as the table of numbers is extended? Try more examples.
What sign seems to occur the most in your table: >, <, or =? Write an algebraic statement for the pattern of signs in this table. Do you think this is a pattern that continues? Add more lines to the table and extend the pattern to the general case by writing the pattern in algebraic notation. Write a short paragraph stating your conjecture
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1418015431
9781418015435
Details about Introductory Technical Mathematics:
Introductory Technical Mathematics, 5th Edition provides current and practical vocational and technical math applications for today's sophisticated trade and technical work environments. Each unit delivers practical math concepts alongside step-by-step examples and problems drawn from various occupations. The plentiful examples and problem sets emphasize on-the-job applications of math. Enhancements to the fifth edition include improved algebra coverage, a new section on basic statistics, new material on conversions from metric to customary systems of measure, and a section that supplements the basics of working with spreadsheets for graphing.
Back to top
Rent Introductory Technical Mathematics 5th edition today, or search our site for John C textbooks. Every textbook comes with a 21-day "Any Reason" guarantee. Published by Delmar Cengage Learning.
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23Most Helpful Customer Reviews
This book is very clear, with many neat, simple and effective igures. It has extremely interesting and challenging examples and topics from applied mathematics (particularly fluid dynamics) which are very well explained given their complexity. In addition this book is a bargin at only 55 dollars, and has good problems with solutions in the back. recommened to anyone learning calculus on their own or looking for a nice, compact, cheap reference book on calculus (covers through multi-dimensional caluculs with excellent emphasis on vector calculus)
This wonderful book is everything that "reform calculus" should have been. Reform calculus was a movement in the 1980s to make calculus instruction more accessible to science and engineering students. It was thought that excessive and misplaced mathematical rigor was getting in the way of calculus instruction. The result was often dumbed down calculus courses. Greenspan and Benny also deemphasize mathematical rigor, but its sheer breadth of topics covered and diversity of problems ensure an intellectually exhilarating and challenging calculus course.
How well I remember first reading this book while in high school. On page 79, Example 3, the student is asked to find the roots of the equation x^2 + a*x - 4 = 0 as a function of the parameter a. Obviously one could just use the quadratic formula, but suppose that one did not know the quadratic formula. What would one do then? Greenspan and Benn use this example to introduce the student to the idea of perturbation series. For a small the roots are obviously going to be close to +-2. Greenspan and Benny demonstrate how to systematically expand the unknown x in a formal power series x = x0 + x1*a + x2*a^2..., and how to find the coefficients x0, x1, x2... I was hooked right there! What other calculus text book would introduce perturbation series so early? The mathematical treatment is rough and dirty, but this book emphasizes and demonstrates the sheer power and breadth of applications of calculus like no other.
All the standard topics are covered, including limits and continuity, but Greenspan and Benny don't emphasize mathematical rigor. A student wishing to explore the detailed mathematical foundations of calculus might wish to look elsewhere. What this book has like no other is breadth, brevity and beauth of coverage.Read more ›
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Other sites
Blog Archives
(This is the second of a series of ongoing posts on using Graph Algebra in the Social Sciences.)
First-order linear difference equations are powerful, yet simple modeling tools. They can provide access to useful substantive insights to real-world phenomena. They can have powerful predictive ability when used appropriately. Additionally, they may be classified in any number
(This is the first in a series on the use of Graph Algebraic models for Social Science.)
Linear Difference models are a hugely important first step in learning Graph Algebraic modeling. That said, linear difference equations are a completely independent thing from Graph Algebra. I'll get into the Graph algebra stuff in the next post or
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Difference Quotients - Problem 3 of 3 This video is a continuation and presents an example that demonstrates how to calculate and simplify a difference quotient that involves a radical function. (2:27)
Tree House Weather Kids: Air Pressure and Wind This is not a streaming video but an interactive online book. It could be used in the classroom in numerous ways and at numerous levels. This book discusses air pressure and wind. It is divided into 4 chapters: "Ocean of Air Pressure," "Measure of Air Pressure," "Winds," and "Measure Winds." Author(s): No creator set
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The Malaria Apicoplast: A Mystery Resolved The 4th Annual CEND Symposium - Fighting the Diseases of Poverty
Joseph Derisi
"The Malaria Apicoplast: A Mystery Resolved"
January 13, 2012
Sponsored by the Henry Wheeler Center for Emerging and Neglected Diseases
Author(s): No creator set
Stephen Hawking : A Life in Science 2nd Ed. Stephen Hawking is no ordinary scientist. With a career that began over thirty years ago at Cambridge University, he has managed to do more than perhaps any other scientist to broaden our basic understanding of the universe. His theoretical work on black holes and his progress in advancing our knowledge of the origin and nature of the cosmos have been groundbreaking if not downright revolutionary. This publication from the National Academies Press can be downloaded for a fee. Author(s): John Gribbin,Michael White
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The MacTutor History of Mathematics Archive This site has topical articles, short biographies of more than 1300 mathematicians, and timelines. Each article refers to suggested books and articles for further research, and the site also has a bibliography of over 700 math history works. The site's indexes include a subject index, a Famous Curves index, an index of women mathematicians, and a quotations index. Author(s): Edmund Robertson,John O'Connor,School of Mathemati
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Meet our Nurse Ambassadors: Robby Klawitter, CRNP, BSN Robby Klawitter works in our Cardiac Surgery Intensive Care Unit. He was one of our first advanced practice nurses and he's seen it become an established part of our practice model. View his video to learn more.
You can also send your questions to Robby on our Maryland Nursing Careers Facebook Page
Related Links:
UMMC Nursing
Maryland Nursing Careers Facebook Page
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ABC World News Tonight: Obama Feature June 4, 2008
Morehouse College is featured in this report that chronicles the historic Presidential Democratic Nomination of candidate Barack Obama.
Students Chad Mance, Terrence Woodbury, Brandon Douglas, Bryan Richardson and Kenton Wainwright were interviewed by ABC correspondent Steve Osunsami. Author(s): No creator set
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A Range Equation Problem with Two Parts Mr.p throws a ball toward a bucket that is 581 cm away from him horizontally. He throws the ball at an initial angle of 55° above the horizontal and the ball is 34 cm short of the bucket. If mr.p throws the ball with the same initial speed and the ball is always released at the same height as the top of the bucket, at what angle does he need to throw the ball so it will land in the bucket?
Content Times:
0:14 Reading the problem
1:01 Why we can use the Ra Author(s): No creator set
Capture of Dwarf Seahorses for Aquarium Trade This short video gives excellent, real life footage of how dwarf seahorses are caught for aquarium trade. Students will enjoy seeing the large nets dragging the bottom of the oceanThe Bottom Line - Feast, Famine and the Future of Food A Cooperative Extension Specialist and faculty member at the University of California at Berkley, Lemaux's outreach and educational programming increases public understanding of agricultural practices, food production and the impact of new technologies on food and agriculture. Her research focuses on the development and use of genetic engineering and genomic strategies for cereals, wheat, sorghum, barley, rice, maize and certain grass species.
Peggy gives the Bottom Line of her Food for Thought Author(s): No creator set
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Democracy in Timor-Leste: Challenges and Prospects After two years of peace and almost a decade since independence there is hope that the days of occupation, violence, disease and starvation have passed for the young country of Timor-Leste.Dr José Ramos-Horta, President of the Democratic Republic of Timor-Leste will give a major speech on the development of democratic institutions, culture and practice in Timor-Leste and the broader challenges for democracy. Author(s): Creator not set
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Course 5: Educating for Civil Societies This final course in the Certificate of Teaching Mastery focuses on the application of teacher training to international development. Author(s): No creator set
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Coordination Exam: Anatomy: Exam Tests The following tests of the neuro exam can be divided according to which system of the cerebellum is being examined: Vestibulocerebellum and spinocerebellum (midline): - Station - Walking - Tandem gait Cerebrocerebellum (appendicular): - Rapid alternating movements - Finger-to-nose - Toe-to-finger - Heel-to-shin - Rebound and check reflex – Speech. The first principle of neurologic diagnosis is regional or anatomical localization. In order to become skillful the student must understand how stru Author(s): No creator set
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Features the complete set of answers to the exercises in Mathematics Year 5, to save you time marking work and enable you to identify areas requiring further attention. The book includes diagrams and workings where necessary, to ensure pupils understand how to present their answers. Also available from Galore Park :. - Mathematics... more...
Solutions to the 25th & 26th International Young Physicists' Tournament provides original, quantitative solutions in fulfilling seemingly impossible tasks. The book expands on the solutions required by the problems. Many of the articles include modification, extension to existing models in references, or derivation and computation based on fundamental... more...
In Professor Stewart?s Casebook of Mathematical Mysteries, acclaimed mathematician Ian Stewart presents an enticing collection of mathematical curios and conundrums. With a new puzzle on each page, this compendium of brainteasers will both teach and delight. Guided by stalwart detective Hemlock Soames and his sidekick, Dr. John Watsup, readers will... more...
This volume provides a broad introduction to nonlinear integral dynamical models and new classes of evolutionary integral equations. It may be used as an advanced textbook by postgraduate students to study integral dynamical models and their applications in machine learning, electrical and electronic engineering, operations research and image analysis.... more...
This volume contains the proceedings of the 19th International Conference on Difference Equations and Applications, held at Sultan Qaboos University, Muscat, Oman in May 2013. The conference brought together experts and novices in the theory and applications of difference equations and discrete dynamical systems.The volume features papers in difference... more...
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Mathematical Analysis and Proof
By
D Stirling, formerly, University of Reading, UK
This fundamental and straightforward text addresses a weakness observed among present-day students, namely a lack of familiarity with formal proof. Beginning with the idea of mathematical proof and the need for it, associated technical and logical skills are developed with care and then brought to bear on the core material of analysis in such a lucid presentation that the development reads naturally and in a straightforward progression. Retaining the core text, the second edition has additional worked examples which users have indicated a need for, in addition to more emphasis on how analysis can be used to tell the accuracy of the approximations to the quantities of interest which arise in analytical limits.
Reviews
Carefully treads the fine line between accuracy and exactitude. A comprehensive introduction, very much in the classical mould, chatty and written with common student misunderstandings in mind. Should be in your undergraduate reference library., The Mathematical Gazette Self-contained and one of the better books. I will definitely and without hesitation recommend and encourage other lecturers to give it serious consideration as a teaching aid., Mathematics Today
Contents
Setting the scene; Logic and deduction; Mathematical induction; Sets and numbers; Order and inequalities; Decimals; Limits; Infinite series; Structure of real number system; Continuity; Differentiation; Functions defined by power series; Integration; Functions of several variables; Appendix: The expression of an integer as a decimal; References and further reading; Hints and solutions.
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Description
Students explore and learn about limits from an intuitive approach, computing limits, tangent lines and rates of change, derivatives, techniques of differentiation, conceptual basis for integration and The Fundamental Theorem of Calculus.
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MA311Taken for Credit: N/AAttendance: Not MandatoryTextbook Use: You need it sometimesRater Interest: Really into itGrade Received: A
Best teacher I've ever had. Challenging yet interesting problem sets. It's like filling in the pieces of a puzzle every time which is fun but it can be time consuming. Wouldn't recommend girls take his class, they have a hard time concentrating while his muscles battle with the chalkboard. Main character flaw, breaks all of the chalk.
This was the hardest class I have ever taken. As nice as Andreas is, his class is nearly impossible. I came into it having already taken Calc, and I have no idea how you could do his class without previous knowledge of calculus.
Andreas is untouchable. His incredible mathematical abilities are rivaled only by his bulging pecs and chiseled chin. But don't let his greek god status intimidate you, he's incredibly friendly and sorta goofy when you get to know him. An instant classic at Colby, Andreas should be a distribution requirement, which would be symbolized by a six-pack
Talk about difficult. Yes, Andreas is nice, and helpful and friendly but if you're doing bad by the first test, drop the class IMMEDIATELY. The likelihood of you pulling the grade up is impossible. Also, he takes your raw score at the end so what he's giving you in the middle is all on a curve. No matter if he tries to convince you, DROP THE COURSE
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053440 Algebraic Modeling: An Introduction to Mathematical Modeling with Algebra and Statistics
This text makes math fun, approachable, and applicable in everyday life. The authors provide algebraic modeling concepts and solutions in non-threatening, easy-to-understand language with numerous step-by-step examples to illustrate ideas. Whether they are going on to study early childhood education, graphic arts, automotive technologies, criminal justice, or something else, students will discover that the practical applications of mathematical modeling will continue to be useful well after they have finished this course
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Introductory Quantitative Methods
First year module
Quantitative Methods provides an introduction to some of the techniques employed in economic analysis. The course starts with an introduction to elementary algebra and proceeds to show how economic problems can be formulated and solved algebraically. The emphasis is on practical application rather than on the study of mathematics for its own sake.
Learning outcomes
The main objective of Quantitative Methods is to enhance students' knowledge and understanding of the quantitative methods necessary for problem solving in elementary economics. The material covered also provides a solid foundation for studies at the intermediate level. Upon completion of the course, students should be able to carry out standard algebraic manipulations in differential calculus.
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Between 2002-2007, the Introduction to Matrix Algebra book was downloaded free of charge by more than 30,000 users from 50 different countries. This book is an extended primer for undergraduate... More > Matrix Algebra. The book is either to be used as a refresher material for students who have already taken a course in Matrix Algebra or used as a just-in-time tool if the burden of teaching Matrix Algebra has been placed on several courses. In my own department, the Linear Algebra course was taken out of the curriculum a decade ago. It is now taught just in time in courses like Statics, Programming Concepts, Vibrations, and Controls.
There are ten chapters in the book 1) INTRODUCTION, 2) VECTORS, 3) BINARY MATRIX OPERATIONS, 4) UNARY MATRIX OPERATIONS, 5) SYSTEM OF EQUATIONS, 6) GAUSSIAN ELIMINATION, 7) LU DECOMPOSITION, 8) GAUSS-SEIDAL METHOD, 9) ADEQUACY OF SOLUTIONS, 10) EIGENVALUES AND EIGENVECTORSThe use of choice examples to show the practical application of matrix algebra and related mathematical tools in specific problems, it serves also as an introduction to linear programming, fluid... More > mechanics, vector analysis and rf cicuit design.The full workings and code are made available for the use and adaptation of the reader.
Here we walk through examples of using linear algebra and matrices to solve problems like cost estimation, we show how similar techniques are used in electrical theory and circuit design. We show how ballistics can predict the range of a football and the time of travel of a bullet. We see how we can generate 3d transforms of rotation and reflection
of objects about general axes and mirrors. We look at the problem of signal rejection in transmission lines and give worked solutions
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Pre-Algebra Guide [HD]
A Top Seller!
Well paying careers demand skills like problem solving, reasoning, decision making, and applying solid strategies etc. and Algebra provides you with a wonderful grounding in those skills – not to mention that it can prepare you for a wide range of opportunities.
This is a COMPLETE Pre-Algebra guide to well over 325 rules, definitions and examples, including number line, integers, rational numbers, scientific notation, median, like terms, equations, Pythagorean theorem and much more!
Our guide will take you step-by-step through the basic building blocks of Algebra giving you a solid foundation for further studies in our easy-to-follow and proven format!
Screen Samples
A COMPLETE pocket-referencw Pre-Algebra guide to well over 325 rules, definitions and examples, including number line, integers, rational numbers, scientific notation, median, like terms, equations, Pythagorean theorem and much more!
Algebra is a very unique discipline. It is very abstract. The abstractness of algebra causes the brain to think in totally new patterns. That thinking process causes the brain to work, much like a muscle. The more that muscle works out, the better it performs on OTHER tasks. In simple terms, algebra builds a better brain! Believe it or not algebra is much easier to learn than many of us think and this guide helps make it easier!
Like all our 'phoneflips', this lightweight application has NO ads, never needs an internet connection and wont take up much space on your phone! For hard copy versions of this and other great products, please visit:
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Advanced Functions and Modeling
Lesson Resources by Topic
Advanced Functions and Modeling provides students an in-depth study of
modeling and applying functions. Home, work, recreation, consumer issues,
public policy, and scientific investigations are just a few of the areas
from which applications should originate. Appropriate technology, from
manipulatives to calculators and application software, should be used
regularly for instruction and assessment.
These AFM lessons originate from a variety of sources. If the lesson
was created by NCSSM faculty, "NCSSM" will appear in the link.
The lessons developed by NCSSM faculty members include a student handout
and teacher notes, complete with solutions. Other lessons were created
by NCSSM faculty for the Algebra 2 website and others are lessons from
external sources such as the Shodor Foundation website or Hands On Activities
from Georgetown University. Materials from websites other than NCSSM will
not necessarily have the same format but may be very useful in teaching
the AFM course.
Each year there is a mathematical modeling competition held for
high school students. Information about the contest and problems
done in the past years are available at The
Mathematical Contest in Modeling.
The Hands On Math project presents a number of applications of
high school mathematics to real world settings. Each problem has
both a student handout and teacher notes. Information and problems
are available at Download
Modules.
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Bob Miller's Algebra for the Clueless
Student tested and approved! If you suffer from math anxiety, then sign up for private tutoring with Bob Miller! Do sets, theorems, and equations ...Show synopsisStudent tested and approved! If you suffer from math anxiety, then sign up for private tutoring with Bob Miller! Do sets, theorems, and equations leave your head spinning? If so, you are like hundreds of thousands of other students who face math--especially, algebra--with fear. Luckily, there is a cure: Bob Miller's Clueless series! Like the teacher you always wished you had (but never thought existed), Bo [ Miller brings a combination of knowledge, empathy, and fun to the often-troubling subject of algebra. He breaks down the learning process in an easy, nontechnical way and builds it up again using his own unique methods. "Basically, the Clueless books are my notes. Exactly the way I teach: friendly, clear...with some humor and plenty of emotion!!" Meant to bridge the gulf between the student, the textbook, and the teacher, Algebra for the Clueless is packed with all the information you need to conquer algebra. This extensive guide gives you: anxiety-reducing features on every page; easy-to-grasp methods that make algebra understandable; bite-sized math portions that fit short study sessions (and short attention spans); full explanations of basic principles to make hard problems easy; quick tips for solving difficult problems; . "I am always delighted when a student tells me that he or she hated math...but taking a class with me has made math understandable...even enjoyable." Now it's your turn. Sharpen your #2 pencils, and let Bob Miller show you how to never be clueless again
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Enter your mobile number or email address below and we'll send you a link to download the free Kindle Reading App. Then you can start reading Kindle books on your smartphone, tablet, or computer - no Kindle device required.
While many think of algorithms as specific to computer science, at its core algorithmic thinking is defined by the use of analytical logic to solve problems. This logic extends far beyond the realm of computer science and into the wide and entertaining world of puzzles. In Algorithmic Puzzles, Anany and Maria Levitin use many classic brainteasers as well as newer ex&les from job interviews with major corporations to show readers how to apply analytical thinking to solve puzzles requiring well-defined procedures. The book's unique collection of puzzles is supplemented with carefully developed tutorials on algorithm design strategies and analysis techniques intended to walk the reader step-by-step through the various approaches to algorithmic problem solving. Mastery of these strategies-exhaustive search, backtracking, and divide-and-conquer, among others-will aid the reader in solving not only the puzzles contained in this book, but also others encountered in interviews, puzzle collections, and throughout everyday life. Each of the 150 puzzles contains hints and solutions, along with commentary on the puzzle's origins and solution methods. The only book of its kind, Algorithmic Puzzles houses puzzles for all skill levels. Readers with only middle school mathematics will develop their algorithmic problem-solving skills through puzzles at the elementary level, while seasoned puzzle solvers will enjoy the challenge of thinking through more difficult puzzles.
{"currencyCode":"USD","itemData":[{"priceBreaksMAP":null,"buyingPrice":19.76,"ASIN":"0199740445","isPreorder":0},{"priceBreaksMAP":null,"buyingPrice":3.99,"ASIN":"0486270785","isPreorder":0}],"shippingId":"0199740445::E1C0TK3RX0No1mFlyBU5VJ0Xs9Os3azClGH1o3AEwcKIb%2FPJACvPe3Pt7bC1aJDuxz1TJuIkE8939XKyb7uxyW%2Fy7tUgmY7fehv8KlnhO0xNxeUHqXEs%2Fg%3D%3D,0486270785::3%2Ffw6ldoUP476O5voee1v%2FugeFbMjZprGw9%2B%2FkBy0JADIe2RCRCcLDnIZeUxQb%2F2TIdsW6mt9XawFTGVs%2FxcpdsqYOUPdTRuta0oSL3rMAlgorithmic Puzzles by Anany Levitin and Maria Levitin is an interesting and novel style of puzzle book. The emphasis lies in training the reader to think algorithmically and develop new puzzle-solving skills: the majority of puzzles are problems where we are asked to find the shortest distance or the fewest moves to get from A to B, or construct a proof that a puzzle has no solution. the book provides plenty of puzzles to keep even the most avid problem-solvers busy for a long time, all with varying levels of difficulty and different styles/contexts. The solutions provided are comprehensive and explain themselves in a friendly, constructive manner, complete with illustrations. In addition to questions and answers, a section of brief hints is also provided to assist the reader in their puzzle-solving endeavours." -- Graham Wheeler, Significance
About the Author
Anany Levitin is a professor of Computing Sciences at Villanova University. He is the author of a popular textbook on design and analysis of algorithms, which has been translated into Chinese, Greek, Korean, and Russian. He has also published papers on mathematical optimization theory, software engineering, data management, algorithm design, and computer science education. Maria Levitin is an independent consultant. After some years working for leading software companies and developing business applications for large corporations, she now specializes in web-based applications and wireless computing.
I bought this book on sight. It's possibly my favorite book of any and all books I own. The puzzles are not only ubiquitous and exciting... they're educational and provide many "Aha!" moments. I've been looking for a book like this for years, and I recommend it to those looking for fun and challenging puzzles of varying difficulty levels. Being a computer science major, many of the puzzles are also fun to implement and solve using programming, emphasizing the "algorithmic" component in the title.
My motivation for reading this book: preparing for coding interview puzzles. This is the perspective from which I evaluate the book.
Conclusion: if you are in the coding interview game do yourself a favor and read at least the first 30 pages. Best return on investment, unless you already have specific training on solving puzzles.
I have at least 5 of the most popular titles specifically dedicated to coding interviews but I find that just the first 30 pages of this book are more valuable than all the other books combined. (This statement is limited to the general problem solving topics and not to technical trivia or dedicated computer science topics like tricky manipulations of a linked list.)
The first pages review very clearly the major strategies for solving "puzzles," which is just another word for problems. If you have a computing or mathematics background then likely nothing on those pages will be new. Regardless, in my case the systematic review of these strategies makes the difference between "I know that I should be able to solve this in minutes but still I run around in loops and getting frustrated" to actually being able to convert the problem space to a graphical representation that helps getting the solution in minutes even with the most simplistic approach of exhaustive search. Of course those 30 pages are about describing the progression of the more sophisticated strategies that, even though I have been aware of them all, are extremely helpful to see in a system.
Contrast to other books I've seen: other books usually start with the problem, then either provide the solution up front, or demonstrate one example of how you could start looking for the solution.Read more ›
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A Course in Topological figures that aid in the understanding of concepts and proofs
Includes an extensive appendix that helps make the book completely self-contained
A Course in Topological Combinatorics is the first undergraduate textbook on the field of topological combinatorics, a subject that has become an active and innovative research area in mathematics over the last thirty years with growing applications in math, computer science, and other applied areas. Topological combinatorics is concerned with solutions to combinatorial problems by applying topological tools. In most cases these solutions are very elegant and the connection between combinatorics and topology often arises as an unexpected surprise.
The textbook covers topics such as fair division, graph coloring problems, evasiveness of graph properties, and embedding problems from discrete geometry. The text contains a large number of figures that support the understanding of concepts and proofs. In many cases several alternative proofs for the same result are given, and each chapter ends with a series of exercises. The extensive appendix makes the book completely self-contained.
The textbook is well suited for advanced undergraduate or beginning graduate mathematics students. Previous knowledge in topology or graph theory is helpful but not necessary. The text may be used as a basis for a one- or two-semester course as well as a supplementary text for a topology or combinatorics class.
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are delightful, original, and solving them is even more enjoyable thanks to the funny illustrations.
Most of the math problems do not require any exceptional mathematical proficiency, but above all, they challenge one's creativity and ability to think logically. Only a few solicit the knowledge of algebraic expressions and rules of geometry.
Authors:
Zbigniew Romanowicz, Ph.D., is an outstanding teacher and a well-known proponent of mathematics among young people. He belongs to the great Russian-Polish school of mathematics. He served as Director of the Institute of Mathematics at the Wroclaw University of Technology in Poland. In the years 1992-2004, he chaired the jury of the Polish Mathematical and Logical Games Championship, within the works of the Paris-based 'Comité International des Jeux Mathématiques'. He ran the popularly acclaimed interscholastic math clubs. For 10 years, he was chairman of the Committee of Regional Mathematical Olympiads. He is an avid promoter of mathematics and an activist of the Polish Mathematical Society.
Bartholomew Dyda, Eng. D., a graduate of the Faculty of Fundamental Problems of Technology at the Wroclaw University of Technology in Poland, is working at the Institute of Mathematics and Computer Science at the Wroclaw University of Technology. Since 1992 he competes in the Mathematical and Logic Games championships, achieving considerable success. He is a two-time recipient of the bronze medal at the International Championship of Mathematical and Logical Games in ParisPlanteverte
Posted September 9, 2012
Here an interesting new product which revitalizes math problems
Here an interesting new product which revitalizes math problems that keep my students' minds nimble. I'm always on the lookout for original approaches that galvanize basic math skills and inspire parallel thinking. It's a great new find! Five stars.
2 out of 2 people found this review helpful.
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AlexMZ
Posted September 10, 2012
An excellent book for my kids to brush up on their math skills w
An excellent book for my kids to brush up on their math skills whilst also being entertained and having fun
1 out of 1 people found this review helpful.
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Your SOLUTION to mastering ALGEBRA!
Trying to tackle algebra but nothing's adding up? No problem! Factor in Algebra Demystified, Second Edition and multiply your chances of learning this important branch of mathematics.
Written in a step-by-step format, this practical guide covers fractions, variables, decimals, negative numbers, exponents, roots, and factoring. Techniques for solving linear and quadratic equations and applications are discussed in detail. Clear examples, concise explanations, and worked problems with complete solutions make it easy to understand the material, and end-of-chapter quizzes and a final exam help reinforce learning.
It's a no-brainer! You'll learn how to:
Translate English sentences into mathematical symbols
Write the negative of numbers and variables
Factor expressions
Use the distributive property to expand expressions
Solve applied problems
Simple enough for a beginner, but challenging enough for an advanced student, Algebra Demystified, Second Edition helps you master this essential math subject. It's also the perfect resource for preparing you for higher level math classes and college placement tests.
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Most Helpful Customer Reviews
First of all, it needs to be said that there are a few typographical and/or mathematical errors in this book. I wish I had documented them as I worked my way through it. Now, given that this book was 100% review for me, I was able to spot most of the errors right off the bat.
With that said, I think that this book is perfect for someone who needs to brush up on some algebra skills. I purchased this along with Huettenmueller's College Algebra book in an effort to try to test out of having to take an algebra class in college. I took three years of algebra, geometry, trigonometry, and calculus in high school. I was hoping that with an adequate amount of review, I would be able to avoid having to take it in college 20 years later. Well, I passed the test with flying colors, and I don't think I could have done it without this book. And the best news is, now that I have re-acquainted myself with all of those rules a second time, I don't think I'll ever forget now.
The typographical errors the last reviewer spoke of may not be a big deal for one who is brushing up on previously learned skills, but for one who is trying to learn for the first time it is a really big deal. It is frequently hard for me to tell if I actually got a problem wrong or if it is a typo in the book! I expected much better error checking from a McGraw Hill book. If not for the errors, I would likely give the book a 4 or 5 star rating. The methods are sound, even if the editing is sloppy.
I needed to test out of basic algebra so that I could start right up with an Anatomy & Physiology course. I haven't done algebra since high school--14 years ago--and back then I had HATED it. I couldn't stand math; never have been able to, and barely scraped by with passing grades back then.
I don't know whether it's that the concepts make much better sense to my 28-year-old brain than it did to my 14-year-old brain, or that Algebra Demystified is just that fantastic a book, or both, but I got a 91 on my basic algebra assessment test after about two weeks of daily study. The book is very well written so that the concepts build upon each other: it moves fast, but the previous chapter has always set you up exactly for the next. I tended to go straight for the problems and solutions and figure out patterns from there, though the descriptions were useful if I got stuck. The book usually provided enough practice questions to get a concept to stick, and when it didn't, I could easily find practice questions online to bolster my studying.
I'm a loyal fan of the Demystified series now, and will be picking up Anatomy Demystified and Physiology Demystified because my experience with this book was so good.
I used this as a preemeptive study tool to pass a math placement exam for college. I didn't pass, but I also didn't study as extensively as I should have. What I have worked through in this book has helped me get through the lessons in my algebra class easier. Class feels like review after working through this book.
Bought this book as a review prior to college calculus. This might not be a deal breaker for some readers, but as other reviewers have commented, the typographical errors in this book are egregious. Seriously, you will spend more time trying to figure out how you got an answer "wrong" then you will on the rest of the book combined. What's worse is when you have actually made an error but you can't be sure if it's you or the book.
Additionally, while the book will teach you how to solve specific problems, do not expect to walk away with an understanding of algebraic concepts. The level of learning here is shallow in the extreme. As someone looking to enhance their understanding of fundamentals, this book provided very little.
This is the easiest math instruction book I have ever seen. The explanations are clear, concise and lead to understanding the subject matter. The examples and test questions become gradually more complex making it easier to understand and follow.
More About the Author
Rhonda Huettenmueller has taught mathematics at the college level for over 10 years. Popular with students for her ability to make higher math understandable and even enjoyable, she incorporates many of her teaching techniques in this book. She received her Ph.D. in mathematics from the University of North Texas.
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Most homeschool parents agree: pre-algebra is not the easiest subject to teach! But at Alpha Omega Publications, they've taken the frustration out of homeschool math instruction! The LIFEPAC 7th Grade Math Set was designed with homeschoolers in mind! Since building on a strong foundation is the key to success in math, LIFEPAC Math programs use mastery-based learning along with spiraling review to encourage long-term student success. In this best-selling math program, student's focus on mastery of a single skill, and then move on to learn new skills. This approach builds a strong math foundation which paves the way for ever-increasing levels of proficiency. In ten engaging worktexts, LIFEPAC 7th Grade Math presents instruction in pre-algebra skills. Lessons in this Alpha Omega curriculum include: number concepts, triangles, quadrilaterals, decimal fractions, set concepts and operations, decimal number systems, equivalent fractions, word problems, writing formulas, functions, equations, gathering data, graphing, and much more.
But there's even more to love about this popular homeschool math program! In the LIFEPAC 7th Grade Math Set, student worktexts include daily math instruction and review as well as plenty of opportunity for assessment of student achievement. In order to encourage individualized instruction, they have included a teacher's guide designed to help you guide your student's learning according to his specific interests and needs. The teacher's guide includes detailed teaching notes, a complete answer key with solutions, and lots of ideas for additional activities designed to reinforce important math concepts.
Created to build on to an established foundation of elementary math skills, the LIFEPAC Pre-Algebra & Pre-Geometry I Set provides mastery-based learning for your child. Ten engaging worktexts in this Alpha Omega curriculum provide instruction in pre-algebra and pre-geometry skills such as set concepts, formulas, equations, statistics, graphs, rational numbers, and applications. Teacher's guide included.
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Introduction to the Foundations of Mathematics
Edition:
2
Publisher:
Dover Publications
Number of Pages:
327
Price:
24.95
ISBN:
9780486488202
It really does bear repeating that Dover Publications has long been, and still is, a real blessing on the mathematical community. This is doubly so in this day and age when a few huge publication houses exert a near-stranglehold on mathematics publishing, making for higher and higher book prices, while, at the same time, the sheer number of offerings in any given field is more and more daunting. Once upon a time, the phrase "undergraduate level real analysis," for example, triggered a pretty terse response: blue Rudin, Protter, or perhaps Caspar Goffman's (wonderful) book — there might have been others, but certainly not many. In sharp contrast, bringing this theme to that most terrible of cyber-demons, Google, produces a yield of 2060 titles! To be sure, only a proper subset actually qualifies — after all, it is only a search engine — but still… Indeed, times have changed.
With this bit of historical kvetching in place, let's say that the books offered by Dover have a great deal to offer under the heading of a return to sanity. They are often reprints of classics, marketed at a very low price; these contributions to the mathematical literature (and pedagogy, in the old-fashioned meaning of the word) go back to those halcyon times when the game was played differently. As illustrated above, there were far fewer books per subject, vetted very carefully, and, to be sure, the ones surviving for any reasonable span of time did so in a Darwinian environment. The book under review is an example of this feature: it is still very fit and deserves to keep surviving.
The author, R. L. Wilder, was a student of R. L. Moore, and, as such, a "Texas topologist"; therefore, in a sense (in a very good sense!), the book resonates with the pedagogical approach crystallized in the Moore Method: it is ultimately all about discovery and owning technique. In this spirit, Wilder's style of presentation is, first of all, far from terse; it is rather different from, say, the telegraph style of mathematical prose championed by Edmund Landau; Wilder's narrative is much more discursive than that, even as Introduction to the Foundations of Mathematics is filled to the brim with definitions, theorems and proofs. It is by no means the case that the book is chatty or rambling.
Wilder notes in the Preface that "[t]he reason for … the course [corresponding to the book] was simply the conviction that it was not good to have teachers, actuaries, statisticians, and others who had specialized in undergraduate mathematics, and who were to base their life's work on mathematics, leave the university without some knowledge of modern mathematics and its foundations." He then goes on to stress that he seeks to address the problem that his chosen charges' training would typically include only "pre-twentieth century and, and, in large part, … pre-Cantorian ideas and methods." He adds, too, that "a course in Foundations at about the senior level might serve to unify and extend the material covered in the traditional … curriculum."
Well, plus ça change, plus c'est la meme chose. But it must be added that in one obvious and undeniable respect, mathematico-pedagogical circumstances are actually very different now than in 1952. Which of us would not rejoice at having before us a class of senior-level university students with the mindset and depth (as opposed to breadth) of that generation? This contrast, too, is discernible from the pages of this Introduction to the Foundations of Mathematics. The presentation is, so to speak, for adults, not children. The reader is supposed to be, if not as mathematically mature as his classmate who is headed for a PhD in mathematics, then certainly as intellectually mature: able to read, work, follow mathematical discussion, and even take part in the process of discovery of the workings of deeper mathematical themes by joining Wilder in his explications: the pencil and note sheet are non-negotiable.
Regarding the book's subject matter per se, suffice it to say that it's a smorgasbord of great stuff: in his first part of two, Wilder starts with a discussion of the axiomatic method, hits set theory with zest (and talks about "the Russell contradiction"), develops Cantorian set theory, talks about well-ordering, and then heads the reals à la Peano, followed by a discussion of "groups and their significance for the foundations." Then, in his second part, Wilder turns to a more philosophical theme, for lack of a better word: he discusses, e.g., the views and work on foundational matters on the parts of Zermelo, Poincaré, Frege, Russell (with Principia Mathematica highlighted). Brouwer's intuitionism, Russell's theory of types, and Hilbert's proof theory are discussed, with the latter a prelude to nothing less than Gödel's incompleteness theorem (and how could it be otherwise?). Wilder then goes on to finish the book with a chapter on "the cultural setting of mathematics."
What then is the role of such a book in this day and age? The answer is clear: although the audience Wilder wrote the book for sixty years ago no longer exists, there is another audience in evidence today, when even future professional mathematicians (i.e. graduate school bound majors) are deficient in any real understanding of the bigger picture as far as mathematics goes: a transition course to bridge the gap from calculus to ostensibly upper division mathematics is pretty much all that's on the menu these days, at least presque partout. Any real discussion on foundations is relegated to courses in the history of mathematics (light on proof and necessarily broad and not deep), Peano and Zermelo are strangers to most students, and Gödel is a curio of sorts. For any one who finds this state of affairs lamentable or even unacceptable, Introduction to the Foundations of Mathematics is a fabulous antidote.
Michael Berg is Professor of Mathematics at Loyola Marymount University in Los Angeles, CA.
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Hart Combination Protractor, Rule, and Square
Description
In the early 20th century, some authors of mathematics textbooks and their publishers began to include protractors in the endpapers of the books. They wanted middle and high school students to informally experience geometry through drawing and experiment before moving on to constructing formal geometrical proofs. Walter W. Hart, a professor of mathematics at the University of Wisconsin, went so far as to design a combination protractor and ruler for insertion in the textbooks he authored with professional mathematics textbook author Webster Wells.
By 1921, Hart's protractor was described and illustrated in the text with a cardboard version included for student use. If students lost their protractors, teachers could order replacements from D. C. Heath & Co. for four to five cents each, depending on the quantity ordered. By 1926, Hart was boasting that his invention had anticipated the standards recommended in 1923 by the Mathematical Association of America's National Committee on Mathematical Requirements. This example probably dates from one of Hart's later textbooks.
This paper semicircular protractor is divided by degrees and marked by tens from 10 to 170 degrees in both directions. The letter A is printed in the bottom left corner of the protractor, and B is printed in the bottom right corner of the protractor. Centered under the origin point of the protractor is printed the inventor's mark: COMBINATION PROTRACTOR, RULE, AND SQUARE (/) W. W. HART, UNIVERSITY OF WISCONSIN. A ruler along the top edge is divided to 1/8-inch, and marked by ones from 0 to 5. A ruler along the bottom edge is divided to millimeters and marked by ones from 0 to 12. This protractor was donated by the Brown University mathematics department in 1973. It is notably discolored and stained. See also MA*304722.07
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Pages
Wednesday, January 28, 2015
I admit it. My 9th grader has switched Algebra 1 programs twice this school year. Why, oh why, is it so hard to find a solid math program that I can teach well? If I were a mathematician, maybe that would help? Or if he was particularly mathy (he's definitely not), that would help.
But alas, I am who I am and he is who he is.
David started in September using Discovering Algebra, because it had been recommended to me for its exploratory qualities (he is a creative soul). This text proved to be:
too slick (hip pictures that have nothing to do with the actual text and so distract my easily distractible boy---he was too busy smirking)
too dependent upon graphing calculators
too little math (really, even my math hater said so)
So we switched to an old Algebra 1 text from Dolciani. Now, when I first introduced my son to this serious looking, dense text…I worried he would run away. But he actually kinda liked it. It didn't have any distracting nonsense in it---it was simply a math book. It was a nice change from the previous text and he grooved on that. My husband, who has taught some math to college students, gave it a thumbs up, so we went forward.
We stuck with Dolciani for a few months (right up until Christmas) and were making ok progress, but here's the thing---I can't get a teacher's edition for this book. I tried, but it's old and the TEs come at a premium (a high premium) and are hard to find.
The book does have answers to the odd problems in the back, but no solutions. That's ok, because I can work the problems myself.
As we got deeper into the text, my son was able to do less and less independent study for the lessons, which was also ok, because I can teach from the book.
But then I was finding that even with me explaining it to him, he wasn't getting it. He became discouraged. He did poorly on the next test, so we went back and reviewed. And reviewed.
I started pulling my hair out. It was taking too much of my time and energy to teach this one subject to one child and he seemed to have hit a brick wall that he couldn't climb over.
That's not to say that my oldest child doesn't deserve as much of my time as he needs. He does.
But the reality is that there is only one of me and I have four kids and they all need to learn math and other things. Those other three kids are no less deserving of my time.
And we weren't getting through the course. He was good and stuck.
Then a little light bulb went on. What if the problem is not really the text or the material, but the limited way in which I am presenting it to him?
We live in the new millennium, y'all.
We aren't limited to chalk, dry erase markers, and red pens. We aren't even limited to physical manipulatives (although physical manipulatives are wonderful).
We have technology at our fingertips. Someone can produce a dynamic video online that actually interacts with the student. They can create a system that automatically grades the student's work and gives them instant feedback (so the poor kid doesn't have to wait until mom has time to grade the problem set).
And so, after talking it over with my husband, I decided I needed to outsource this subject---it's been awesome!
Let me step back a minute…
As I said, we were at midyear and I had already tried two different math programs with this kid.
My homeschool budget was spent.
I COULD NOT spend a couple hundred dollars (or more) on a live online course. Even if I could have, many of the year-long courses started back in September and used a different text/sequence than what he had done so far, so he couldn't jump in midstream.
I really couldn't afford over $100 for Teaching Textbooks or one of the other self-paced cd-rom or online options. After already having two programs fail on me, I couldn't take that big of a gamble, anyway.
I was also a bit leery of using an expensive video-based program, because I have tried a couple with him in the past and the fit had been…well, not great.
So I started looking at free options.
I was feeling desperate. I looked at a lot possibilities, including Khan Academy and videos that had been put together by teachers for their classes. None of these was quite what I was looking for (he does use Khan for other things, including Java programming).
I purchased a used copy of the text on Amazon, but the actual work is done online. We can refer to the text for extra practice or for review.
There are video presentations of the lessons, some have an interactive element to them. The problem sets are completed online and instantly graded. There's a test after every 4 lessons.
The site keeps records of what has been completed and grades. There's a checklist that shows my son what he has finished. You can even contact them for more help if you get stuck on a lesson---VHSG is dedicated to help homeschoolers. How cool is that?
I do nothing except keep tabs on whether or not he's completed the lessons and how he's doing, but he can always come to me if he has problems.
This has been great for both of us.
He is able to do his math independently and on his own schedule (he doesn't have to wait for me to be free). He doesn't have to wait for me to grade his work.
I don't have to tell him that he flunked a test (so far he's getting As on VHSG, but if he ever flubs it, the computer can tell him that, I don't need to break the news).
Either one of us can go in and see exactly what he got wrong on a test and why. It even gives partial credit on some things (one minor quibble we have is that sometimes this is inconsistent---on a test he just took he got one wrong when he left the units out of his answer, but partial credit on another where he did the same thing).
Using this site has removed the frustration and I think it is helping to preserve our relationship. Not bad for a free resource.
Of course, he's only completed the first 3 weeks (which is mainly review for him), but I foresee us continuing to use this site for high school math and possibly for science also next year if he continues to do well with it. They offer some live courses as well.
So, while outsourcing in many cases may not be affordable, this is one high quality possibility that will fit a shoe string homeschool budget. Give it a try if you are struggling in the high school math department.
Monday, January 26, 2015
Seeking Beauty: the Arts and Everything that Brings Beauty to Our World---includes any of the arts, handicrafts, but really ANYTHING at all that adds beauty to your homeschool.
My co-host this week is Lisa @ Golden Grasses and we have 13 other homeschool bloggers joining us. If you'd like to join the conversation, use the linky at the bottom of this post to link up your own posts pertaining to Seeking Beauty in your homeschool.
When I invented week 4 of the VCF as a way for families to talk about the beautiful things, whether that be the fine arts, religious studies, or really whatever brings beauty and joy into their homeschools, I made it open-ended and flexible for a reason.
Real life doesn't fit in a box.
Right now, what is bringing beauty, joy, and PEACE into my homeschool is the lack of clutter.
I had resisted that for a long time because I didn't want to recreate school at home.
But school was exploding all over my house. And while learning everywhere is a good thing, having to clear books and art projects off the counter every time I wanted to prepare a meal was a drag. Tripping over projects and books was not pleasant, either.
So we set up a school-room-slash-library-slash-office. And for a while this was a good thing. It gave the kids a place to put their school work when they were done with it so that I didn't have to deal with it every. minute. of. every. day. There was peace.
The walls were lined with 6-foot high book shelves with most of our educational resources. Desktop computer. We have all our school supplies. Maps. It was a good thing.
Until the school room became a pit.
It became a dumping ground for every new school book, every considered curriculum, every catalog, every book I might assign to my high schooler. At some point. In the next few years.
It was a mess. Fortunately, this is an old house and that particular room has pocket doors, so I could shut the doors and not look at it when we weren't doing school.
But it was getting so I was avoiding doing school in there. And it was hard to do school elsewhere because all our stuff was in there.
It wasn't just the mess.
My mind was plagued with unrest. I kept second-guessing my plans and what we were doing each day.
I would look around and see all these wonderful things we could be doing, but weren't (at least not at this moment).
I had Chronic Grass is Always Greener Syndrome.
What I was actually doing seemed so…well, SMALL.
There's a reality that I think every homeschooler has to eventually accept: We can't do ALL the good things.
There isn't enough time. If we did try to do them all, we probably wouldn't do any of them really well and we'd spend a lot of energy hopping and skipping from one thing to another.
If we're really honest with ourselves, we can realistically only do a small fraction of the good stuff---and each year we can only do a small fraction of that fraction.
For every educational path I choose for my kids, there are thousands I'm saying "NO" to.
And that path is made up of a myriad of individual possibilities that I have fit together for a cohesive whole.
For every math book I choose to use with a particular child, there are dozens others that I am saying "NO" to.
For every language arts program I choose, there are dozens more that I am saying "NO" to.
For every library book I choose as a part of our history studies, there are dozens more that I am saying "NO" to.
Now, it is true that many of these resources I would not choose anyway for a number of reasons:
Don't fit my philosophy of education
Anti-Catholic
Too expensive
Would drive my child right up a wall
Would drive me right up a wall…
You get the idea. I can narrow down the choices some, but typically for any given year (with 4 very different kids to educate) there is still lots to choose from…and many of those choices are already gracing my homeschool bookshelves.
That's the beauty (and curse) of a robust homeschool market and a homeschool mom who is been a reviewer for a number of years.
Trying new stuff is fun and exciting…but always trying new things can ruin your focus.
I would look around my school room. Every day. And see all the great (wonderful!) things I wasn't doing with my kids right this minute.
And it wrecked my focus.
So we reinvented our school room.
We moved those high shelves into our upstairs hallway. We put low, inexpensive bookcases into the school room---this is important because part of the reason I didn't do this sooner was the expense of buying sturdy, wooden bookcases.
We moved out ALL the books we aren't using this school year upstairs or onto some other bookshelves we have in a downstairs hallway. My husband helped me cart and sort of these books---he said, "Wow, you have a lot of cool stuff!"
And this is key---I have a bad memory. I forget stuff. I forget things that aren't in front of me. Making lists is not good enough. I need to see it.
My mind likes to work on possibilities for next year or the year after that. And I do want the option of pulling something I have if we are doing a unit study and the topic comes up.
So packing up my books into boxes was a no go. Period.
So this was my solution: having the books available if needed, but not in my face all the time.
Even the encyclopedia and other reference books are upstairs. The kids can go up there to look something up or I can browse those shelves if I'm looking for something in particular.
All our math manipulatives are now easy to reach.
Art supplies are there for the taking.
That table is huge when opened fully and it used to be at its full-size so we could accommodate the world and US maps I had on it because I didn't have ANY wall space due to the high shelves. There was a clear vinyl table cloth over them to keep them in place and clean.
The trouble was, the kids would have all their school stuff on top of the table, so we would have to move stuff. every. time. we wanted to look at the maps.
And the clear vinyl would wrinkle and get in the way.
Now the maps are on the wall where every can refer to them. There's a whiteboard between them.
Love Command picture hangers by 3M---they are perfect for plaster walls, y'all (tape will not stick to my walls), and perfect for hanging lightweight things like maps and whiteboards.
What you don't see: my high schooler's desk at the lower left corner of that first picture and a desk with our desktop computer in the lower right corner. There's also a highboy in there that needs to be cleaned out (ahem), but it has paper, more art supplies, and computer/printer supplies.
Because the bookcases are lightweight, this forced me to NOT overload them.
I'm a gal who thinks that if a few books is great, a few hundred is even better. I had to whittle down to what I really needed to have at the ready, but I didn't have to actually give up anything---if I didn't want to, I am going to be giving away some books to those who need them.
We do plan to add some pictures and artwork to the wall, and some nicer window coverings.
Our "new" school room is new and untested. But, I already feel great about it. My 11-year-old daughter was seen jumping up and down in it this morning, because…happy!
What is making you happy in your homeschool?
Now, take a few minutes to visit my friends as they Seek Beauty in home education:
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Analysis : With an Introduction to Proof
Analysis with an Introduction to Proof
Summary
For courses in Real Analysis, Advanced Calculus, and Transition to Advanced Mathematics or Proofs course. Carefully focused on reading and writing proofs, this introduction to the analysis of functions of a single real variable helps students in the transition from computationally oriented courses to abstract mathematics by its emphasis on proofs. Student oriented and instructor friendly, it features clear expositions and examples, helpful practice problems, many drawings that illustrate key ideas, and hints/answers for selected exercises.
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IBS Introduction to Mathematics
Description
This is the second course in the IBS Professional Programme in Business Administration. The workplace requires the use of fundamental numerical and spatial skills in order to meet the demands of the job efficiently. To benefit from specialised training for the workplace, a flexible understanding of mathematical principles is often necessary. This numeracy must enable the person to, for example, deal with work-related formulae, read statistical charts, deal with schedules and understand instructions involving numerical components. This course in numeracy will enable the person to be a contributing worker.
Accreditation
The Institute of Business studies (IBS) under the scope of the Global Institute of Chartered Secretaries and Administrators (ICSA)
Entrance requirement
Grade 10 with English and Mathematics/Mathematical Literacy/Accounting; or equivalent qualification
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This is probably the most fun I have had with Self Study, EVER. Not feeling overwhelmed for 1 second. From the first "chat" session, Petra was so helpful with getting me registered in time and help... ...read more
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Algebra: Introductory and IntermediateWith CD! Shows definite wear, and perhaps considerable marking on inside. 100% Money Back Guarantee. Shipped to over one million happy customers. Your purchase benefits world literacy!
About the Book
The Third Edition of "Algebra: Introductory and Intermediate" provides mathematically sound and comprehensive coverage of the topics considered essential in a combined introductory and intermediate algebra course. The text also includes new prep tests, updated applications, and a new design. Furthermore, the Instructor's Annotated Edition features a comprehensive selection of new instructor support material. The class-tested Aufmann Interactive Method, incorporated throughout the text, ensures that students interact with the math and master the concepts presented. This model is especially supportive for distance-learning and self-paced laboratory situations.The IAE, rich with new instructor support materials, features reduced student pages with support material in the margins. (Answers to exercises and transparency icons appear on the reduced student page.) Features include "Instructor Notes;" tips for introducing new or recycled vocabulary, symbols, formulas, rules, properties or equations; "Discuss the Concepts" prompts; "Concept Check" questions; "Optional Student Activities; In-Class Examples" to present with every objective; "Suggested Assignments; Quick Quiz;" and Answers to selected "Writing Exercises, Focus on Problem Solving" activities, and "Projects and Group Activities.""AIM for Success," a special preface for students, guides them in how to be successful using the text and the Aufmann Interactive Method (AIM). Suggestions for using the Preface as a lesson are featured in the Instructor's Resource Manual. Eduspace, powered by Blackboard, for the Aufmann/Barker/Lockwood "Algebra: Introductory and Intermediate" course includes algorithmic exercises, an online Study Guideand test bank content in question pools.
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Discrete Mathematics
9780131593183
ISBN:
0131593188
Edition: 7 Pub Date: 2008 Publisher: Prentice Hall
Summary: This textbook provides an accessible introduction to discrete mathematics, using an algorithmic approach that focuses on problem-solving techniques. Each chapter has a special section dedicated to showing students how to attack and solve problems.
Johnsonbaugh, Richard is the author of Discrete Mathematics, published 2008 under ISBN 9780131593183 and 0131593188. Seven hundred two Discrete Mathematics textboo...ks are available for sale on ValoreBooks.com, seventy seven used from the cheapest price of $89.60, or buy new starting at $157 Hardcover. may contain slight water damge 7th Not perfect, but still usable for class. Ships same or next day. Expedited shipping takes 2-3 business days; st [more]
Used - Acceptable Hardcover. may contain slight water damge 7th
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Algebra 2 exercises the mind
Eliminate the requirement for Algebra 2 from the Texas student curriculum? Why not also eliminate sudoku and crossword puzzles from the daily newspapers?
As regular physical exercise improves the health of your physical body, so also do mental puzzles improve the condition of your mental health. Guess what? So do the rigorous logical reasoning processes of higher-level algebra improve the development of the still-formative minds of young kids.
No, you may never use the principles of algebra in your adult employment, but your cognitive intelligence will be greatly enhanced to address that employment.
Ed Kominski, Weatherford
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Calculus Demystified
Summary
Hard stuff made easy! Your practical, self-paced guide to calculus.Fully revised and updated,Calculus DeMYSTiFieD, Second Edition isthecurriculum-based tutorial for anyone overwhelmed by this complex mathematics subject. The book helps you gain a more intuitive understanding of both differential and integral calculus. An experienced teacher and author of more than 30 books puts all the math background you need inside and uses practical examples and worked problems with solutions to make everything clear.Calculus DeMYSTiFieD, Second Edition Provides chapter-opening objectives to give you insight into what you're going to learn in each step Includes detailed examples with in-depth explanations of how to arrive at the solution Features an intensive focus on word problems and fractions Contains questions at the end of every chapter reinforce learning and pinpoint weaknesses Concludes with a final exam for overall self-assessmentStep-by-step coverage: Basics; Foundations of Calculus; Applications of the Derivative; The Integral; Indeterminate Forms; Transcendental Functions; Methods of Integration; Applications of the Integral
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This is a high level introduction to abstract algebra which is aimed at readers whose interests lie in mathematics and in the information and physical sciences. In addition to introducing the main concepts of modern algebra, the book contains numerous applications, which are intended to illustrate the concepts and to convince the reader of the utility... more...
Praise for the Third Edition ". . . an expository masterpiece of the highest didactic value that has gained additional attractivity through the various improvements . . ."—Zentralblatt MATH The Fourth Edition of Introduction to Abstract Algebra continues to provide an accessible approach to the basic structures of abstract algebra: groups,... more...
Methods Used to Solve Discrete Math Problems Interesting examples highlight the interdisciplinary nature of this area
Pearls of Discrete Mathematics presents methods for solving counting problems and other types of problems that involve discrete structures. Through intriguing examples, problems, theorems, and proofs, the book illustrates the... more...
What kinds of curriculum materials do mathematics teachers select and use, and how? This question is complex, in a period of deep evolutions of teaching resources, with the proficiency of online resources in particular. How do teachers learn from these materials, and in which ways do they 'tailor' them for their use and pupil learning? TeachersMathematical sciences have been playing an increasingly important role in modern society. They are in high demand for investigating complex problems in physical science, environmental and geophysical sciences, materials science, life science and chemical sciences. This is a review volume on some timely and interesting topics in applied mathematical... more...
This book covers the discourse and equity in mathematics education research. Given the inherent connection between discourse and equity, this book focuses on two approaches to the connection. Contributors consider the ways in which the social, mathematical, cultural, and political aspects of classroom interactions impact students' opportunities... more...
This book considers the views of participants in the process of becoming a mathematician, that is, the students and the graduates. This book investigates the people who carry out mathematics rather than the topics of mathematics. Learning is about change in a person, the development of an identity and ways of interacting with the world. It investigates... more...
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Algebra E-Course and Homework Information
Formulas and Cheat Sheets
Algebra Made Easy
Algebra Made Easy with Hundreds of Step-By-Step Examples and Video Lessons
I know you are thinking, "How can Algebra be made easy?" This is one of your most difficult subjects, right?
Well, I've tried to make it as easy as possible. I've developed this website to help YOU and anyone else who is struggling with Algebra quickly and easily learn the concepts.
This page is designed to help you find what you need on this website. Think of it as a site map or table of contents for the Algebra 1 portion of this website. You will find all lessons and pages related to Algebra 1 below. All lessons are organized by unit. Just click the lesson that is giving you trouble, and be ready to learn!
Algebra Resources
Formulas
Now do you see why I've called this page, Algebra Made Easy? Hopefully you've been able to find the lessons that are giving you trouble and you've been able to follow along with the lessons to gain a better understanding.
Bookmark this page and return when you find that you don't quite understand your textbook, teacher, or professor. Hopefully I can help!
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Mathematics: Mechanics and Probability (Paperback)
Many students who embark on a GCE A-level course in mathematics choose the combination of pure mathematics with applications to mechanics. The pure mathematics content of most such syllabuses is covered in "Mathematics - The Core Course for A-Level", while this book provides the companion mechanics course. It also contains a section on probability, a topic included in many A-level mathematics syllabuses. An appreciation of the properties of vectors is introduced at an early stage and, wherever appropriate, problems are solved using vector methods. Worked examples are incorporated in the text to illustrate each main development of a topic, and a set of straightforward problems follows each section. A selection of more challenging questions is given in a miscellaneous exercise at the end of most chapters. Multiple-choice exercise are also included on many topics.
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Elementary Linear Algebra - 7th edition
ISBN13:978-1133110873 ISBN10: 1133110878 This edition has also been released as: ISBN13: 978-1133111351 ISBN10: 1133111351
Summary: The cornerstone of ELEMENTARY LINEAR ALGEBRA is the authors' clear, careful, and concise presentation of material--written so that readers can fully understand how mathematics works. This program balances theory with examples, applications, and geometric intuition for a complete, step-by-step learning system. Featuring a new design that highlights the relevance of the mathematics and improves readability, the Seventh Edition also incorporates new conceptual Capstone exercises that re...show moreinforce multiple concepts in each section. Data and applications reflect current statistics and examples to engage users and demonstrate the link between theory and22 +$3.99 s/h
Acceptable
newrecycleabook centerville, OH
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Mathematics for Elementary Teachers, Textbook with Hints and Solutions Manual: A Contemporary Approach
Browse related Subjects
...Read More taught in elementary classrooms. Mathematics for Elementary Teachers, Student Resource Handbook This invaluable resource handbook is designed to improve student learning and provide models for effective classroom
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Brand new. We distribute directly for the publisher. Just published, an Expanded Edition of a popular book. Ideal for a broad spectrum of audiences, including students in math ...history courses at the late high school or early college level, pre-service or in-service teachers, and casual readers who just want to know a little more about the origins of mathematics. Can be used a History of Mathematics text, as a Liberal Arts Mathematics Text, or as part of the preparation of future mathematics teachers.Where did math come from? Who thought up all those algebra symbols, and why? What's the story behind ? ...negative numbers? ...the metric system? ...quadratic equations? ...sThe 25 short stories are preceded by a 56-page bird's-eye overview of the entire panorama of mathematical history, a whirlwind tour of the most important people, events, and trends that shaped the mathematics we know today.Read moreShow Less
2003 Hardcover New In Stock. Ships within 1 business day from Ohio, United States. Expedited shipping available. We only ship within the contiental US. All book sales ...guaranteed. Our business has been selling quality books for over 100 years.Read moreShow Less
The Mathematical Association of America Hardcover New 0883857367 New Condition *** Right Off the Shelf | Ships within 2 Business Days ~~~ Customer Service Is Our Top Priority! ...-Thank you for LOOKING: -)Read moreShow Less
Ships from: Geneva, ILWhere did maths come from? Who thought up all those algebra symbols, and why? What's the story behind … negative numbers? … the metric system? … quadratic equations? … s The 25 short stories are preceded by a 56-page bird's-eye overview of the entire panorama of mathematical history, a whirlwind tour of the most important people, events, and trends that shaped the mathematics we know today. Reading suggestions after each sketch provide starting points for readers who want to pursue a topic
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Newton Lower Falls Precalculus thesis is part of the permanent Harvard collection at Widener Library. I enjoy teaching geometry because of the logic involved. It's a great tool for finding ways to solve problems by adding perspectives together to draw bigger conclusionsMIDDLE AND HIGH SCHOOL STUDENTS:
Are you frustrated that you seem to understand the material but can't quite get over a hump? Or is it all a blur to you and you don't get it at all? Or somewhere in between?
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Help your students overcome math anxiety with this comprehensive workbook that improves math skill and prepares students for actual real estate practice. This must have text features step by step instructions for the mathmematical calculations required of real estate professionals. Highlights are:
* Over 60 problems give students plenty of practice in each area.
* Step by step instructions simplify even the most complex calculations
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What is the best trigonometry book available free? There is no undergraduate level trigonometry really, except a tiny bit incidental to the De Moivre theorem and the definitions of sine, cosine in terms of complex exponentials. The old fashioned trigonometry had more special tricks, important for efficient computation in the days when a calculator was a person who calculated.
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Methods of Solving Complex Geometry Problems
Grigorieva, Ellina
2013, XVI, 234 p. 201 illus., 191 collection of challenging geometry problems and detailed solutions that will build students' confidence in mathematics. By proposing several methods to approach each problem and emphasizing geometry's connections with different fields of mathematics, Methods of Solving Complex Geometry Problems serves as a bridge to more advanced problem solving. Written by an accomplished female mathematician who struggled with geometry as a child, it does not intimidate, but instead fosters the reader's ability to solve math problems through the direct application of theorems.
Containing over 160 complex problems with hints and detailed solutions, Methods of Solving Complex Geometry Problems can be used as a self-study guide for mathematics competitions and for improving problem-solving skills in courses on plane geometry or the history of mathematics. It contains important and sometimes overlooked topics on triangles, quadrilaterals, and circles such as the Menelaus-Ceva theorem, Simson's line, Heron's formula, and the theorems of the three altitudes and medians. It can also be used by professors as a resource to stimulate the abstract thinking required to transcend the tedious and routine, bringing forth the original thought of which their students are capable.
Methods of Solving Complex Geometry Problems will interest high school and college students needing to prepare for exams and competitions, as well as anyone who enjoys an intellectual challenge and has a special love of geometry. It will also appeal to instructors of geometry, history of mathematics, and math education courses.
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More About
This Textbook
Overview
The Mathematics of Money: Math for Business and Personal Finance covers all the traditional topics of the business math course, but with a more algebraic focus than many of the texts currently on the market. The text develops a solid understanding of percent and interest early, then applies that foundation to other applications in business and personal finance. While it is appropriate for students of all levels, the book takes the approach that even if students are coming into the class with only high school math, neither they nor the instructor need to be afraid of algebra; it takes care to clearly present and reinforce the formulas given and to consistently return to them and apply the material to contexts that are relevant to the
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More About
This Textbook
Overview
This encyclopedia contains more than 5,000 integer sequences, over half of which have never before been catalogued. Because the sequences are presented in the most natural form, and arranged for easy reference, this book is easier to use than the author's earlier classic A Handbook of Integer Sequences.
Audience: Those professionals and researchers in all areas of applied and theoretical science and engineering who need to identify and work with integer sequences, including amateurs and recreational mathematics enthusiasts, and scienceand mathematics libraries. Of interest to those working in: number theory, combinatronics, graph theory, discrete mathematics, computer science, algebra, geometry, communications, information theory, physics, chemistry, statistics, botany, and zoology.
Related Subjects
Table of Contents
Description of the Book: Description of a Typical Entry. Arrangement of a Table. Number of Terms Given. References. What Sequences are Included? The Figures. How to Handle a Strange Sequence: How to See if a Sequence Is in the Table. If the Sequence is Not in the Table. Finding the Next Term. Recurrences and Generating Functions. Analysis of Differences. Other Methods for Hand Analysis. Transformations of Sequences. Methods for Computer Investigation of Sequences. The On-line Versions of the Encyclopedia. The Floppy Disk. Further Topics: Applications. History. Differences from the 1973 Book. Future Plans. Acknowledgments. The Table of Sequences. Bibliography
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Re: query
A high school student who already understands the concepts of variables and
functions (and is reading at or above grade level) can probably make
his/her way through the language to discover that it is saying what he or
she already knows. Then the student's question becomes, "Why are they
wasting my time with reading this?"
A student (no matter how skilled a reader) who began with less than a
complete understanding of variables and functions would almost certainly
find this text befuddling.
It is amazing that anyone would think this is a helpful introduction to a
problem or series of problems. If there will be multiple-choice questions
such as "Which is the dependent variable in a given equation?" the last
three sentences contain all the information necessary to remind students of
the meaning of these terms. The preceding sentences are frustrating because
they require effort to decipher but yield no necessary information.
Of course, one may also wonder why the test makers thought multiple choice
questions of the sort this text apparently introduces would be a good
measure of students' knowledge of mathematics.
At 10:57 AM 5/10/2003 -0400, Gerald Bracey wrote:
This is not a set up for a gotcha. I'd like people to tell me what level
they think the following text is pitched at. Any other commentary about
it would be welcome as well.
"Each of the graphs in the preceding article shows a definite relation
between two quantities such that when one is known the other can be found
either by experiment or by computation. These quantities are usually
represented by certain symbols such as p,v,x,y, etc, and are called variables.
DEFINITION: a variable is a symbol which may represent an indefinite
number of values throughout a particular discussion.
For example, in the equation A =pi X R squared, A and R are variables and
represent the area and radius, respectively, of a circle. When A is
expressed in terms of R, R is called the independent variable and A the
dependent variable or function of R. In general, we may give the
following definition:
If a variable y depends another variable x, so that whe a value of x is
known, y is determined, then y is called a function of x.
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MARKET: This text equips readers with the skills and knowledge they need to solve problems through the use of mathematical models and computer solutions that implement the latest technology. Taylor's objective was to focus on using simple, straightforward explanations and detailed step-by-step examples that readers would find understandable and easy-to-read.
Synopsis:Related Subjects
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More About
This Textbook
Overview
This book uses graphics calculator to explore new ideas which are validated by algebraic methods. Includes step by step directions and photos to ease the reader into graphics calculator usage techniques.
Editorial Reviews
Booknews
A text for students majoring in business management, social sciences, and life sciences, relying on a graphing calculator approach. Begins with easy material and gradually progresses in difficulty, with material on applications in business and sciences; practice problems; exercises, including those identified as CPA, CMA, and actuarial exam questions, plus answers; chapter tests; and boxed key concepts and equations. Includes an appendix on using specific calculator brands
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Programmed Mathematics for Nurses
9780071053983
0071053980
Summary: Provides students with an enjoyable way of learning the math skills requried to solve the many types of problems that may be encountered in the giving of medications and in the preparation of solutions. The secret lies in a small group of psychological principles that make up the reinforced learning system. Unlike an ordinary text that must be studied and memorized, this reinforced learning system asks the student to... solve a logical series of problems. Each problem is designed to stimulate the student to think out the correct answer on the basis of information already learned. After responding to each problem students can immediately check their work against the correct answer.
Sackheim, George I. is the author of Programmed Mathematics for Nurses, published 1996 under ISBN 9780071053983 and 0071053980. Six Programmed Mathematics for Nurses textbooks are available for sale on ValoreBooks.com, five used from the cheapest price of $0.64, or buy new starting at $79.51.[read more
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More About
This Textbook
Overview
This book demonstrates that classical problems of computational geomet ry can be solved when the input and output data are on surfaces other than the plane, but that planar techniques cannot always be adapted su ccessfully, and new techniques must be considered. Well-known problems from computational geometry are adapted to cases where the objects ar e on surfaces, and an attempt is made to answer questions that arise i n the growing list of areas in which the results of computational geom etry are applicable. These areas are, among others, engineering, compu ter aided design, manufacturing, geographic information systems, opera tions research, robotics, computer graphics, and solid modelling. Audi ence: This volume will be of interest to postgraduate students and res earchers whose work involves computational geometry, algorithms, combi natorics, and graph
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A text suitable for a Basic Algebra developmental course based on the representation of real world situations and on an...
see more
A text suitable for a Basic Algebra developmental course based on the representation of real world situations and on an appeal to reason as opposed to the recall of memorized "mathematical facts" and "skills״.Reasonable Basic Algebra, moreover, is a standalone version of part of a three semester course of study to start with Arithmetic and to culminate with Differential Calculus.
This site hosts two pages of dynamic geometric animations of common functions.The first page, Derivatives, features...
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This site hosts two pages of dynamic geometric animations of common functions.The first page, Derivatives, features functions such as the natural logarithm, the exponential function, f(x)=sin(x), etc, and displays graphs of their first and second derivatives. As the user traces along each graph, a tangent line is displayed at that x value for each of the three graphs. The second page, Trigonometry, displays side-by-side, unit circle and rectangular coordinate graphs, complete with all six trigonometric functions. Each function is displayed on both graphs, is color coded, and can be toggled on and off to better show specific relationships between functions. The user can also click to freeze tracer points at any angle 0 ≤ θ ≤ 2π.These visualizations give insight into the dynamic nature of various common functions and help users to percieve their fundamental geometric properties and relationships.
A Singaporean Maths site catering to the cambridge A level H2 maths syllabus; it alsocontains two large question/solution...
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A Singaporean Maths site catering to the cambridge A level H2 maths syllabus; it alsocontains two large question/solution portals -״The Question Locker" and "Beyond H2 maths״which are relevant to the general high school and early college maths student.
According to Student PIRGS, this is "am introductory level single variable calculus book, covering standard topics in...
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According to Student PIRGS, this is "am introductory level single variable calculus book, covering standard topics in differential and integral calculus, and infinite series.״ The book also includes multivariable calculus, though there is a single variable version.
According to Student PIRGS, "Worldwide Differential Calculus is the first in a three-book introductory college calculus...
see more
According to Student PIRGS, "Worldwide Differential Calculus is the first in a three-book introductory college calculus series from the Worldwide Center of Mathematics. It emphasizes intuitive ideas in conjunction with rigorous statements of theorems, and provides a large number of illustrative examples. Each section comes with a video lecture on the core material by author David B. Massey, who is an award-winning teacher and well-known research mathematician. The text assumes students are familiar with high school algebra, analytic geometry and graphing in the xy-plane, basic properties of trigonometric functions (in degrees), and basic properties of exponents and logarithms. See the publisher's website for the latest information about the accompanying Integral and Multivariable texts.״
The xFunctions applet is designed as an educational tool for exploring several topics in calculus and pre-calculus...
see more
The xFunctions applet is designed as an educational tool for exploring several topics in calculus and pre-calculus mathematics. In addition to basic graphing, xFunctions can create animated graphs, parametric curves, derivatives, Riemann sums, integral curves, and 3D graphs.
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books.google.com - This book addresses a new interdisciplinary area emerging on the border between various areas of mathematics, physics, chemistry, nanotechnology, and computer science. The focus here is on problems and techniques related to graphs, quantum graphs, and fractals that parallel those from differential equations,... on Graphs and Its Applications
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Introduction to Mathematical Analysis
Kriz, Igor, Pultr, Ales
2013, XX, 510 p. 1Can be used not only as a textbook for a course but also as a reference book for lecturers in analysis or mathematicians and scientists in general
The book begins at an undergraduate student level, assuming only basic knowledge of calculus in one variable. It rigorously treats topics such as multivariable differential calculus, the Lebesgue integral, vector calculus and differential equations. After having created a solid foundation of topology and linear algebra, the text later expands into more advanced topics such as complex analysis, differential forms, calculus of variations, differential geometry and even functional analysis. Overall, this text provides a unique and well-rounded introduction to the highly developed and multi-faceted subject of mathematical analysis as understood by mathematicians today.
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FREE booklets written for students working towards Edexcel 1MA0 and AQA 4360 Maths exams. High quality model answers can be bought for less than the cost of 1 hour with a private tutor. They are a great alternative to hiring a tutor and they actually will improve your grade if you work through them all. I use them myself in my work as a Maths tutor and my students consistently achieve A* or A grades.
Edexcel Style GCSE Questions by topic These FREE booklets of GCSE 1MA0 style past paper questions arranged by topic make revision and practice much easier. Trying to revise using past papers usually means going from one topic to another and so no topic is covered thoroughly. These topic booklets have questions that are just like those in the Edexcel 1MA0 exams. Great for revision.
AQA Style GCSE Questions by topic FREE booklets for students and teachers of AQA 4360 Maths. The questions are just like the AQA ones. Study and revision is much easier as topics can be done one at a time.
Resources Useful FREE extras such as graph and isometric paper, reflection images and 3D paper models. There is now a FREE collection of 28 cursive handwriting sheets, using the nonsense poems of Edward Lear. Children's story books by John Aspin now available for download to read from your tablet at bedtime.
Maths Tutor
Peter Bland
If you live in the area around Knutsford* I can offer tuition in Maths from primary to GCSE. I am a highly experienced teacher and tutor. I come to you to teach in your own home. I specialise in helping to greatly boost the grades for people who have a forecasted "C" or "D". My rates are very competitive and I provide all materials needed. There are no hidden extras. For more information please contact me at: peter@bland.inor phone 01565 220 375 or 0790 710 6489
GCE O and A Level Past PapersA FREE and fascinating collection of JMB Syllabus B past papers from the 1970s, 1980s and 1994. These papers are freshly digitised from the originals and available nowhere else. Now you can draw your own conclusions as to whether GCSEs are easier than the GCEs were. There are also 10 examples of Additional Maths papers from JMB and AEB.
I have removed these papers following a request from AQA, who tell me I cannot host their papers. Please email me if you would like to see them, and you will receive copies of them, free of charge.
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Mathematics can be as effortless as humming a tune, if you know the tune," writes Gareth Loy. In Musimathics, Loy teaches us the tune, providing a friendly and spirited tour of the mathematics of music--a commonsense, self-contained introduction for the nonspecialist reader.Volume 2 of Musimathics continues the story of music engineering begun in volume 1, focusing on the digital and computational domain. Loy goes deeper into the mathematics of music and sound, beginning with digital audio, sampling, and binary numbers, as well as complex numbers and how they simplify representation of musical signals. Chapters cover the Fourier transform, convolution, filtering, resonance, the wave equation, acoustical systems, sound synthesis, the short time Fourier transform, and the wavelet transform. These subjects provide the theoretical underpinnings of today's music technology. The material in volume 1 is all preparatory to the subjects presented in this volume, although either volume can be read independently. Cross-references to volume 1 are provided for concepts introduced in the earlier volume, and additional mathematical orientation is offered where necessary. The topics are all subjects that contemporary composers, musicians, and music engineers have found to be important. The examples given are all practical problems in music and audio. The level of scholarship and the pedagogical approach also make Musimathics ideal for classroom use. Additional material can be found at a companion web site.
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About the Author
Gareth Loy is a musician and award-winning composer. He has published widely and, during a long and successful career at the cutting edge of multimedia computing, has worked as a researcher, lecturer, programmer, software architect, and digital systems engineer. He is President of Gareth, Inc., a provider of software engineering and consulting services internationally.
Most Helpful Customer Reviews
If you are to really understand what is going on in this book you need volume one where the foundations are discussed. Likewise, volume one of Musimathics will often stop short of a truly complete explanation and say that further study will be picked up in volume two. Thus, these two volumes are actually just the halves of one book. However, if you are interested in musical signal processing, you probably need to read volume two. It covers much ground in depth, and gives numerous examples that are very practical and accessible for people who are working with musical and audio signals. The appendix has some useful tutorials and tables involving mathematics if you happen to be rusty. The following is the table of contents:
The sad thing about this series is that the keywords that invite readers to stop by, hide the fact that these texts go far beyond music, to USE music as a gentle introduction to extremely complex, relevant and timely math concepts. The best teachers use four paths to explain a math concept: verbal, formulaic, algorithmic and pictographic. These help the brain comprehend the topic regardless of our learning modality. The authors here are simply MASTERFUL math teachers, and clarify everything from Eulers Law (relation of e, the base of the natural logarithms to pi, the base of the trig functions) to Fourier Transforms, in a way that a bright High School student will get. If you've been out of math (any math) for a long time, and want a masterful review of math concepts and techniques, this series is THE place to start. You can then extend that foundation to many other applied areas, from signal processing to physics, voice recognition, etc. Fourier transforms (and their more recent spin off in Cepstrums) are being used in too many fields to list today, from radar and electronic engineering, to whale songs.
In every section, the author's excitement is contagious. Rather than give a bunch of dry proofs that reek of hubris and disregard for the reader, Gareth uses a "curious mind" tone, as if he were just learning and discovering this too, like a kind of puzzle or murder mystery. Loy is Monk, Holmes and Columbo combined. For example, he gives a few expansion series for e, then says: "Wow, there seems to be a striking and beautiful pattern here, doesn't there? Wonder what it can be?" Leave it to a guy into both math and music to see the wonder in a time series!
One more example. Any texts on waveforms have to involve deep calculus, especially PDE's.Read more ›
The first volume of Musicmathics is primarily an intro to the mathematical aspects of music theory, harmonics, scale construction, music perceptions, etc.. The second volume is basically an introduction to Digital Signal Processing (DSP) with discussion of how it applies to music.
My background is in Electrical Engineering so I am well versed in the basic DSP concepts outlined in this book. Gareth Loy has done a fantastic job of 'gently' presenting this material so that even musicians without extensive advanced mathematical training should be able to grasp it. I have seen these concepts presented in a number of different textbooks and this book is far more straightforward than many of the EE signal processing books. Loy goes out of his way to highlight which concepts are the most important and often gives multiple illustrations to highlight the implications of these key concepts. I wish I had this book when I was first learning DSP!
The one complaint I have is that too much attention is given to Fourier techniques and not enough attention paid to Wavelet based methods which are increasingly replacing windowed fourier variants like STFT in many real world applications. However, with the background material presented here the interested reader should be able to quickly grasp the fundamentals of wavelets.
The first volume is mind-blowing enough, but this one is more math-heavy and super-cool -- a gripping thriller! Before this book reached my hands, I had no idea such a clear view of mathematics + music was available, and now that this book has turned my world upside-down I find myself studying complex numbers and calculus with renewed fervor. If you know someone even vaguely into music and computers, let 'em know that this book exists.
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Find a Rex, GA AlgebraACT Math is a collection of pre-algebra, elementary algebra, intermediate algebra, geometry, and trigonometry; basically all the courses that should have been taking by the end of the eleventh grade year. Elementary math is basic computation skills such as adding, subtracting, multiplying and di...
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This third edition of the perennial bestseller defines the recent changes in how the discipline is taught and introduces a new perspective on the discipline. New material in this third edition includes:
A modernized section on trigonometry
An introduction to mathematical modeling
Instruction in use of the graphing calculator
2,000 solved... more...
Schaum's has Satisfied Students for 50 Years.
Now Schaum's Biggest Sellers are in New Editions!,...Review of Elementary Mathematics , Second Edition, assumes no prior knowledge of mathematics and makes accessible all of elementary math, including the basics of algebra and geometry. It features up-to-date terminology plus added explanations of how to make calculations both with and without a calculator. Thousands of questions, with fully worked... more...
Tough Test Questions? Missed Lectures? Not Enough Time?
Fortunately, there's Schaum's. This all-in-one-package includes more than 650 fully solved problems, examples, and practice exercises to sharpen your problem-solving skills. Plus, you will have access to 25 detailed videos featuring Math instructors who explain how to solve the most commonly... more...
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Books on Computers > Mathematical & Statistical Software
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"Mathematica Cookbook" helps you master the application's core principles by walking you through real-world problems. Ideal for browsing, this book includes recipes for working with numerics, data structures, algebraic equations, calculus, and statistics. You'll also venture into exotic territory with recipes for data visualization using 2D and 3D graphic tools,... more
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Description: Using the author's considerable experience of applying Mathcad to engineering problems, Essential Mathcad introduces the most powerful functions and features of the software and teaches how to apply these to create comprehensive calculations for any quantitative subject. The simple, step-by-step approach makes this book an ideal Mathcad text for... more
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Book Description: Most current artificial neural networks exist only within software simulators running on conventional computers. Simulators can provide great flexibility, but require immensely powerful and costly hardware for even very small networks. An artificial neural network implemented as a custom integrated circuit could operate many thousands of times faster... more
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R, an Open Source software, has become the "de facto" statistical computing environment. It has an excellent collection of data manipulation and graphics capabilities. It is extensible and comes with a large number of packages that allow statistical analysis at all levels – from simple to advanced – and in... more
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Description: Standards in the American education system are traditionally handled on a state-by-state basis, which can differ significantly from one region of the country to the next. Recently, initiatives proposed at the federal level have attempted to bridge this gap. Common Core Mathematics Standards and Implementing Digital Technologies provides a... more
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Advanced Mathematics and Mechanics Applications Using MATLAB, Third Edition features extensive revisions that bring this bestselling text thoroughly up to date with MATLAB 6.x, especially with its graphics and animation capabilities. It incorporates new material on time-dependent solutions of linear partial differential equations, a new chapter on eigenvalue problems, and... more
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R is dynamic, to say the least. More precisely, it is organic, with new functionality and add-on packages appearing constantly. And because of its open-source nature and free availability, R is quickly becoming the software of choice for statistical analysis in a variety of fields. Doing for R what Everitt's... more
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Adobe PDF eBook Rights: Copy allowed for 15 selections within interval of 365 days Print allowed : Unlimited Read aloud not allowed. Description: This book uses MATLAB as a computing tool to explore traditional DSP topics and solve problems. This greatly expands the range and complexity of problems that students... more
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Created in partnership with SAS, this book explores SAS, a business intelligence software that can be used in any business setting or enterprise for data delivery, reporting, data mining, forecasting, statistical analysis, and more SAS employee and technologist Stephen McDaniel combines real-world expertise and a friendly writing style to introduce... more
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Description: A Step-by-Step Guide to SPSS for Sport and Exercise Studies offers appropriate advice and an easy to understand guideto SPSS fopr all students studying for their undergraduate and postgraduate dissertations in sports and exercise.... more
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Description: An Introduction to R for Statistical Analysis. The R software is rapidly growing in popularity as a statistical analysis package due to its versatility, attractive graphics and open source license. This book gives an introduction to using R, with a focus on performing popular statistical methods. It is suitable... more
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The Definitive Resource on BusinessObjects Covers BusinessObjects administrator and end-user tools for query, reporting, and analysis Improve profitability and operations in your company by leveraging BusinessObjects with help from this comprehensive guidebook. Divided into three digestible sections, "Business Objects: The Complete Reference" will help you get fully acquainted with this... more
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The easy way to brush up on the math skills you need in real life Not everyone retains the math they learned in school. Like any skill, your ability to speak "math" can deteriorate if left unused. From adding and subtracting money in a bank account to figuring out the number of shingles to put on a roof, math in all of its forms factors into daily... more...
This book gives a systematical presentation of stochastic approximation methods for models of American-type options with general pay-off functions for discrete time Markov price processes. It is the first volume of the comprehensive two volumes monograph. more...
This encyclopedia contains trigonometric identity proofs for some three hundred identities. The book is presented in the form of mathematical games for the reader's enjoyment and includes a concordance of trigonometric identities, enabling easy reference. Trig or Treat is a must-have for:. • every student of trigonometry, to find the proofs... more...
This textbook provides an introduction to the differential geometry of curves and surfaces. The third revised edition has been expanded to include solution hints and cartographic applications. Topics covered include Euclidean geometry, the theory of curves and surfaces, curve definitions, minimal surfaces, Riemann geometry, and the Gauss-Bonnet theorem. more...
Too often math gets a bad rap, characterized as dry and difficult. But, Alex Bellos says, "math can be inspiring and brilliantly creative. Mathematical thought is one of the great achievements of the human race, and arguably the foundation of all human progress. The world of mathematics is a remarkable place." Bellos has traveled all around the globe... more...
Whether you're new to geometry or just looking for a refresher, this completely revised and updated third edition of Geometry Success in 20 Minutes a Day offers a 20-step lesson plan that provides quick and thorough instruction in practical, critical skills. Stripped of unnecessary math jargon but bursting with geometry essentials, Geometry Success... more...
The fundamental aim of this book is to communicate the knowledge necessary for a competent mathematical assessment of modern developments in the age of the Internet. Most crucially, this includes an understanding of very large graphs, calculating with large numbers, and calculating using prime number bases. more...
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Want to ?know it all? when it comes to algebra? Algebra Know-It-ALL gives you the expert, one-on-one instruction you need, whether you're new to algebra or you're looking to ramp up your skills. Providing easy-to-understand concepts and thoroughly explained exercises, math whiz Stan Gibilisco serves... more...
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This book gives a concise introduction to the most important facts about integral transforms, aimed at senior undergraduate or first-year graduate students. Prerequisites for the book are a good course in advanced calculus; Widder references his own Advanced Calculus for most of the facts used here. The book includes exercises at the end of each chapter, but they are not very challenging; most are to work out specific examples or to tie up loose ends from the chapter.
The book is not a survey of integral transforms: it deals primarily in the Laplace transform, but also deals with several analogous transforms and shows how the ideas and properties of Laplace transforms can be applied more widely. It also covers the general convolution transform, which is simply the convolving of a given kernel with the desired function, and shows how much can be proved about these transforms with minimal knowledge of the kernel. It does not deal with Fourier transforms except to develop a little bit of Fourier theory in support of some of the topics. This book is just an introduction, and Widder also wrote a number of monographs that cover these transform topics in much more detail.
An unusual feature of the book, that works very well, is that the exposition starts out with general Dirichlet series, which are presented as the discrete form of the Laplace transform. This allows the main theorems to be developed in a simpler environment, and then we can guess the forms of the analogous theorems for the integral transforms. The Dirichlet series material is fairly in-depth and takes up about a third of the book. It includes a self-contained proof of the Prime Number Theorem that foreshadows some of the analyticity and growth theorems and Tauberian theory.
Another feature I especially appreciate is that, even though it is a pure-math book, the first chapter develops quickly, in a cookbook fashion, enough Laplace transform material to show how they can be used to solve ordinary differential and integral equations. As the author says (p. ix), "any student of transform theory will wish to be cognizant of this most important application."
The book also has the beginnings of the moment problem, quite a bit on inverting transforms (both through complex variable and through real variable methods), the representation problem (which properties guarantee that a function can be represented as a particular transform), and Tauberian theorems.
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More About
This Textbook
Overview
By combining algebraic and graphical approaches with practical business and personal finance applications, South-Western's FINANCIAL ALGEBRA, motivates high school students to explore algebraic thinking patterns and functions in a financial context. FINANCIAL ALGEBRA will help your students achieve success by offering an applications based learning approach incorporating Algebra I, Algebra II, and Geometry topics. Authors Gerver and Sgroi have spent more than 25 years working with students of all ability levels and they have found the most success when connecting math to the real world. FINANCIAL ALGEBRA encourages students to be actively involved in applying mathematical ideas to their everyday lives.
Related Subjects
Meet the Author
Robert Gerver and Richard Sgroi are well-known mathematics teachers, authors, and speakers at mathematics conferences throughout the U.S. Robert Gerver received his undergraduate degree from Queens College of the City University of New York where he was elected to Phi Beta Kappa. He received his Ph.D. from New York University. Dr. Gerver has received the Presidential Award for Excellence in Mathematics Teaching for New York state.
Richard Sgroi is a well-known mathematics teacher, author, and speaker at mathematics conferences throughout the U.S. Dr. Sgroi received his Ph.D. from New York University. Over the course of their 25-year careers, Gerver and Sgroi have developed teaching methods to unmask the mystery of mathematics with applications to music, business, finance, and practical living skills. Together they authored Sound Foundations: A Mathematics Simulation, which received recognition from the U.S. Department of Education's Program Effectiveness Panel and was included in the publication, Educational Programs that Work
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This book contains hundreds of practice questions to help pupils prepare for the KS2 Maths SATS. It's been fully updated for the tests from May 2014 onwards (where calculators are no longer allowed), and every topic is covered with a wide range of question types. Answers are included at the back of the book. Matching study notes are available in CGP's KS2 Maths Study Book (9781847621849).
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We bought this book, together with the KS 2 Maths Study Book, to help prepare our 11 year-old for entrance exams for a British school. I'm reviewing the book after she passed the exams: it's dog-eared, and she's completed pages 1-52 on her own initiative, ranging from "numbers" through "classifying shapes", "measurements", to "handling data". All this is presented with CGP's usual child-friendly humour: for example, the introduction states: "this book contains lots of tricky questions designed to make you sweat – because that's the only way you'll get any better." Summary: appealing, well-designed self-help book for Key Stage 2 maths students.
This book has been good for flushing out any areas that my daughter needed some extra help with and for that reason alone it was worth the money. My only criticism would be that each topic is a little short and doesn't give enough practice but you can invent your own questions where they might need some extra attention. Good for the summer hols to keep their 'hand in' so to speak.
Difficult enough to challenge my 10 year old but not so difficult that she wants to give up. The exercises provide excellent examples to enable the child to work through the questions with minimal supervision or prompting. The tasks reinforces classroom teachings and refreshes forgotten calculation methods.
Essential for those in year 7 doing transfer test/11 plus/entrance exams for grammar schools but make sure you choose the current publication which contains the most up to date curriculum content. i didnt and ended up with confused child.....and parent!
I knew this book was used but I was super disappointed that all throughout the book the answers were filled in on many of the pages. I didn't expect this and have never had this problem before when purchasing used books.
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Elementary Number Theory
9780072325690
ISBN:
0072325690
Edition: 5 Pub Date: 2001 Publisher: McGraw-Hill Higher Education
Summary: "Elementary Number Theory," Sixth 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, Elem...entary Number Theory reveals the attraction that has drawn leading mathematicians and amateurs alike to number theory over the course of history.
Burton, David M. is the author of Elementary Number Theory, published 2001 under ISBN 9780072325690 and 0072325690. Four Elementary Number Theory textbooks are available for sale on ValoreBooks.com, three used from the cheapest price of $41.40, or buy new starting at $58.49.[read more]
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In this Very Short Introduction, Jacqueline Stedall explores the rich historical and cultural diversity of mathematical endeavour from the distant past to the present day, using illustrative case studies drawn...
Guides and instructs students on preparing for the SAT mathematics level 1 subject test, providing test-taking strategies and tips, and includes seven full-length practice exams with explanations of each answer
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01300874 College Mathematics
For courses in Basic College Mathematics, Introductory Algebra, and Intermediate Algebra, and combined Beginning and Intermediate Algebra.This engaging workbook series presents a student-friendly approach to the concepts of basic math and algebra, giving students ample opportunity to practice skills and see how those skills relate to both their lives and the real world. The goals of the worktexts are to build confidence, increase motivation, and encourage mastery of basic skills and concepts. Martin-Gay ensures that students have the most up-to-date, relevant text preparation for their next math course; enhances students' perception of math by exposing them to real-life situations through graphs and applications; and ensures that students have an organized, integrated learning system at their fingertips. The integrated learning resources program features text-specific supplements including Martin-Gay's acclaimed tutorial videotapes, CD videos, and MathPro 5
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The
following tips are courtesy of Lower Columbia College's Tutor
Training Handbook, George Dennis, Supervisor.
Come
prepared
Walking into a tutorial session prepared sends a clear, strong message to
the students of the importance and pride you as a tutor place on the
upcoming session. It is especially meaningful to follow up with the plan
of action, objectives, and goals set during the last tutorial
session.
To do this, tutors model to the
student a commitment and enthusiasm by coming prepared. Coming prepared
includes:
Step
one:
Always look at the problem in the book. Never trust that a student has set
it up correctly.
Step
two: Ask student to explain the procedure s/he is using to solve the
problem. You can troubleshoot and listen for erroneous logic or incorrect
procedures at that time.
Step
three:
Reinforce any correct procedures (e.g. "This part is done
correctly", or "You are target here".) Then identify
incorr4ect logic and ask the student to consider what else s/he might try.
You can provide a hint, but avoid explanations until after the student has
attempted a guess. (E.g. "When you evaluate an integral, what do you
evaluate first, the upper or lower part?")
Step
four:
To check for understanding have the student re-explain the procedure to
you. Avoid asking questions like, "Does that make sense to you?"
and "Do you under5stand now?"
Step
five:
Disengage!
Encourage the student to work the next problem on his/her own, but let
him/her know you will check back. Do not get drawn into working the
next problem with an insecure student. S/he needs to develop the
ability to apply what s/he is learning without your supervision.
Guide
student:
A math tutor should guide a student through the solution process. Ask
the student leading questions that will direct the student towards the
correct steps.
Avoid doing problems for the student.
If the student cannot get the correct answer and asks for help, the
tutor should look at what the student has done and try to locate the
error. Then have the student work a similar problem to make sure
he/she has grasped the concept or procedure.
Teach
Concepts Tutoring goal should be to help
students become an independent learner. In mathematics, it is
important to teach concepts rather than just processes or
procedures. For example, the tutor should explain why it is
important to follow the "order of operations" rule, PEMDAS,
rather than just showing the student how to do it.
Understanding the concepts makes remembering the procedures
easier.
Encourage
Students to Attend Class
Some students believe getting help from a tutor is a substitute
for attending class. Students having difficulty in math must realize
time spent with a tutor is additional to classroom time.
Address
Math Anxiety
Tutors will deal with students with varying degrees of math anxiety.
Tutors should avoid using phrases such as, "this is
easy." Such phrases intimidate the student. If the student
suffers from a high degree of math anxiety it may be helpful to refer
the student to a counselor. Sometimes it is helpful to learn about the
student's math background. If the tutor believes the student is
enrolled in a course the tutee is not ready for, talk to the
instructor.
Don't
Confuse the Student!
If the tutor is unsure of a mathematical procedure or concept, check
with a math instructor. It is helpful to find out what approach the
text or instructor is using on a particular problem. A tutor using the
same technique as the text or instructor will reinforce the concept or
procedure, whereas using a different approach can confuse the
student.
Tutors are strongly encouraged to stay in touch with instructors of
the students they work with. Up
Overcoming
math and science anxiety Many people believe
mathematics and sciences can be conquered only by certain kinds of people.
This myth destroys potential, provides excuses and limits our
possibilities. What is required is persistence and patience.
Learning Math and Science takes time and effort,
but it is worth the investment!
Five suggestions for overcoming
math/science anxiety include:
Do not confine yourself to exact
answers or processes. Most problems have more than one method for
reaching an answer. Sometimes it is easier to work from an answer to a
problem/question than vice-versa.
Do not use self-defeating talk. Use
constructive self-talk when referring to your abilities in mathematics
and science.
Do not run away from your intuition since
it could lead you towards a possible solution and understanding of the
concept and application.
Do not consider your questions dumb
or stupid when something is unclear or questionable.
Do not run away from math/science
frustrations. Try to keep a journal where you jot down strengths,
triumphs, areas to further address, and emotions about areas of
study. Up
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Description
A detailed introduction to Mathematica covering all of the system's major facilities. Also includes a comprehensive description of Mathematica's operation under Microsoft Windows. Related TopicsTutorial and Reference
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28 concise and up-to-date textbook is designed for the standard sophomore course in differential equations. It treats the basic ideas, models, and solution methods in a user friendly format that is accessible to engineers, scientists, economists, and mathematics majors. It emphasizes analytical, graphical, and numerical techniques, and it provides the tools needed by students to continue to the next level in applying the methods to more advanced problems. There is a strong connection to applications with motivations in mechanics and heat transfer, circuits, biology, economics, chemical reactors, and other areas. Moreover, the text contains a new, elementary chapter on systems of differential equations, both linear and nonlinear, that introduces key ideas without matrix analysis. Two subsequent chapters treat systems in a more formal way. Briefly, the topics include: First-order equations: separable, linear, autonomous, and bifurcation phenomena; Second-order linear homogeneous and non-homogeneous equations; Laplace transforms; and Linear and nonlinear systems, and phase plane properties.
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The book "What is Math?" helps children of all ages understand that math is more than a subject we learn in school, math is all around us. From the moment we awaken in the morning, to the... More > time we fall asleep at night, math is at the core of everything we do.
The original text was awarded first place in the "What is Math?" writing contest. This second edition adds beautiful pictures to help illustrate the words contained in the book. Also, the second edition is now easier for both parents and teachers to help children learn the importance of math by seeing that math is all around us. The words are child friendly, and have been revised to closely match the state educational standards.
Children will also learn that math can help you achieve your dreams. Everything from music, art, sports, business, cooking, shopping, bridges, airplanes, holidays, sunrise, gardens, love, happiness, pizza, sharing, computers, weather, birthdays, communication, health, and everything all around us is about math.< Less
PLEASE NOTE: THIS IS THE SECOND EDITION OF THE BOOK. A third edition is also available. Some colleges are now using the third edition, while others are still using the second. MAKE SURE YOU ARE... More > ORDERING THE CORRECT EDITION FOR THE CLASS YOU ARE TAKING.< Less
Ace the GMAT! Raise your math score. Memorize all the formula that you need to know for the GMAT.
Learn and review on the go! Use Quick Review GMAT notes to help you learn or brush up on the... More > subject quickly. You can use the review notes as a reference, to understand the subject better and improve your grades.< Less
College-algebra review (workbook) preparatory to "Finite Mathematics" and "Applied Calculus" courses for business, life science, and social science majors.
Not appropriate for... More > self-study.
This 2009 printing contains the complete text of the 1992 printing with additional corrections.
Soft cover, vi+144.< Less
Math Flash Notes was created for students, parents, and anyone who desires or wants a mini refresher guide on the fundamentals of math. This book is for those who desire to continue to sharpen their... More > math skills, as well as serves as a step by step learning guide covering the basics of math that one can encounter with every day business, shopping and living. Math Flash Notes was designed to make the basics of math fun and easy to learn
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Devault ACTI aim to help the student understand what the theorems and axioms mean physically, so the student will better understand the concept theoretically and ultimately feel comfortable solving a geometric proof. The first pre-algebra topic to focus on is knowing and understanding types of numbers, suc
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This guide offers step-by-step solutions for all odd-numbered text exercises, Chapter and Cumulative Tests, and Practice Tests with solutions.
"synopsis" may belong to another edition of this title.
About the Author:
Dr. Ron Larson is a professor of mathematics at The Pennsylvania State University, where he has taught since 1970. He received his Ph.D. in mathematics from the University of Colorado and is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored over 30 software titles since 1990. Dr. Larson conducts numerous seminars and in-service workshops for math educators around the country about using computer technology as an instructional tool and motivational aid. He is the recipient of the 2013 Text and Academic Authors Association Award for CALCULUS, the 2012 William Holmes McGuffey Longevity Award for CALCULUS: AN APPLIED APPROACH, the 2011 William Holmes McGuffey Longevity Award for PRECALCULUS: REAL MATHEMATICS, REAL PEOPLE, and the 1996 Text and Academic Authors Association TEXTY Award for INTERACTIVE CALCULUS (a complete text on CD-ROM that was the first mainstream college textbook to be offered on the Internet). Dr. Larson authors numerous textbooks including the best-selling Calculus series published by Cengage Learning.
The Pennsylvania State University, The Behrend College Bio: Robert P. Hostetler received his Ph.D. in mathematics from The Pennsylvania State University in 1970. He has taught at Penn State for many years and has authored several calculus, precalculus, and intermediate algebra textbooks. His teaching specialties include remedial algebra, calculus, and math education, and his research interests include mathematics education and textbooks38842
Book Description Cengage Learning. PAPERBACK. Book Condition: New. 053873884738842
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The Department of Mathematical Sciences will host its annual Spring Lecture Series, now in its 40th year, titled "Cohomology, Polynomials, and Representations: an Eternal Golden Braid," on Thursday, March 5, through Saturday, March 7, in the Reynolds ...
In deriving their results for both papers, the team used a novel technique, the method of interlacing polynomials. The technique takes advantage of certain manipulations one can perform on functions with specific properties. Though these polynomials...
I've got an example of polynomials. It'd be nice to be able to do polynomials right. You try that with interval arithmetic and they slop all over. Those gold rectangles I show there are where they produce a bigger bound than they should, and all you're ...
Great teachers don't just teach; they make students believe that they can do it. They make it fun and make it matter. Ever try selling polynomials to a group of 13-year-old boys? Like great sales and marketing, the magic of great teaching is part ...
A team of middle school Mathletes® from Highland Middle School in Libertyville, won the local MATHCOUNTS competition held on February 21st at the College of Lake County. More than 148 students from across Lake and McHenry counties participated in ...
Matrix Ai can be easily found using properties of orthogonal polynomials. If the LMM is correctly specified, then the estimates from the LMM and the CLMM are the same in the balanced case.5 In the unbalanced case, empirical evidence suggests that they ...
I stepped away to find my son's soccer cleats under his bed, help my daughter with a math problem (and Google "multiplying polynomials"), and take a casserole out of the oven. We learn early on to filter out the unnecessary but, in spite of years of ...
I know it probably is going to be very dependent on where you're manufacturing the SAW but to the extent you've got polynomials that were for specific bands. I assume you can take that and apply that to designs for other customers, is that the right ...
Limit to books that you can completely read online
Include partial books (book previews)
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Algebra for College Students _ Text Only - 6th edition
ISBN13:978-0073384344 ISBN10: 0073384348 This edition has also been released as: ISBN13: 978-0077441371 ISBN10: 0077441370 be
tween the examples and exercise sets, so no matter where the students start, they will see the connection between the two. Finally, the author finds it important to not only provide quality but also a wide variety and quantity of exercises and applications. between the examples and exercise sets, so no matter where the students start, they will see the connection between the two. Finally, the author finds it important to not only provide quality but also a wide variety and quantity of exercises and applications 0073384348 Brand new book. STUDENT US EDITION. Never used. Nice gift. Best buy. Shipped promptly and packaged carefully.
$111.40 +$3.99 s/h
VeryGood
Follett School Solutions, Inc. Woodridge, IL
0073384348 No excessive markings and minimal highlighting.?CD Roms, access cards/codes, and other supplemental materials may or may not be included based on availability.
$113135135.60 +$3.99 s/h
New
Textbookcenter.com Columbia, MO
Ships same day or next business day! UPS(AK/HI Priority Mail)/ NEW book
$142.00
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Includes complete worked-out solutions to all of the Try It Yourself exercises, the odd-numbered exercises, and all of the Chapter Quiz exercises.
About the Author:
Ron Larson received his PhD in mathematics from the University of Colorado in 1970. At that time he accepted a position with Penn State University, and he currently holds the rank of professor of mathematics at the University. Dr. Larson is the lead author of more than two dozen mathematics textbooks that range from sixth grade through calculus levels. Betsy Farber received her Bachelor's degree in mathematics form Penn State University and Master's degree in mathematics from the College of New Jersey. Since 1976, she has been teaching all levels of mathematics at Bucks County Community College in Newton, Pennsylvania, where she currently holds the rank of professor. She is particularly interested in developing new ways to make statistics relevant and interesting to her students and has been teaching statistics in many different modes - with TI-83/84, with MINITAB, and by distance learning as well as in the traditional classroom.
Book Description:Pearson Prentice Hall. PAPERBACK. Book Condition: New. 0136013074 New, Unused book with cover damage (cut, tear or bend/crease typically). Does NOT affect book content! May or may not include CDs, InfoTrac, etc.Items ship in 24 hours with FREE tracking!. Bookseller Inventory # 7673
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+ By Clever Alien
The EQ7 is a professional, accurate, full-featured scientific calculator designed for Android devices. It offers the powerful features of a handheld scientific calculator, with an improved interface to enhance user experiences. While designed primarily for mathematicians, engineers, and students, this scientific calculator is accessible to anyone.
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Mathematics for Finance: An Introduction to Financial Engineering
There is a lot of good stuff packed into this book. As the authors point out in the preface, undergraduate textbooks rarely feature two Nobel Prize winning theories.
The reader should know enough calculus to handle partial derivatives and Lagrange multipliers, enough linear algebra to invert matrices and compute determinants, and enough probability to understand random variables, distributions, expectation, and variance and covariance. A short appendix provides a quick review of most of this.
Assuming these modest preliminaries, the authors show how to price stocks, bonds, and derivatives. Starting with such basics as simple and compound interest, readers are led — in less than 300 pages — to understand some of the big, overarching ideas of financial engineering. The authors show to price options and other derivatives using Black-Scholes. They cover Markowitz portfolio optimization and the Capital Asset Pricing Model. Along the way, readers will become adept at applying the no-arbitrage principle, an assumption stated on page five that serves as a powerful tool in many arguments throughout the book.
A glance at chapter 1 provides a feel for the exposition. In a mere twenty-four pages the authors cover the basics of stocks, bonds, forward contracts, options, and foreign exchange. On the very first page the notation S(T) is introduced for the price of a stock at (final) time T. Return is then defined as K= [S(T) – S(0)]/S(0). For the price of a bond at time T, the notation A(T) is used. An investor having x shares of stock and y bonds is said to have the portfolio (x, y), its value V(T)at time T clearly given by V(T) = xS(T) + yA(T). This simple framework is a satisfying way to codify some basics while getting the discussion started.
Later in the chapter, when option pricing is being discussed, the following result appears: "If the option can be replicated by investing in a portfolio (x, y) of stock and bonds, then C(0) = xS(0) + yA(0), or else an arbitrage opportunity would exist." Note that C(T)is the price of the option at time T, and that replicating an option means constructing a portfolio (x,y) such that C(T) = xS(T) + yA(T). The context here is a binomial model with one time step after which the stock price S(T)will be one of two possible values. The result is proved the same way as many others in the book: assume a contradiction, and then devise an arbitrage opportunity via a sequence of buying and selling different securities. Working through such a proof, the novice acquires a better feel for the properties of the various securities and how they interrelate.
Throughout the text, the authors invite active reader participation. One way is by opening and closing each chapter with a case study. The portion of the case study at the start of the chapter is a description of a financial scenario. A mere one paragraph, it contains no mention of potential problems or solutions. After reading the paragraph, the exceptionally astute reader will anticipate issues that might arise from the scenario and will seek out resolution while studying the chapter. When the case study is revisited at chapter's end, potential problems are disclosed and their solutions discussed in light of the tools and ideas learned in the chapter.
To further promote active learning, the authors have embedded all of the exercises in the discussion. Many of the exercises closely resemble immediately preceding examples and hence provide practice and serve to cement the ideas. Others require more effort, such as providing a proof or derivation. Solutions to all exercises appear in an appendix. This makes the book excellent for self-study.
The exposition is very clear, yet in most places compact (for an undergraduate text). One example of the book's conciseness and expectation of reader maturity: Near the start of chapter three, the formula for return K = [S(T) – S(0)]/S(0) is redisplayed. The authors next mention E(K) = μ as notation for expected return and then state, "By the linearity of the mathematical expectation, μ = [E(S(T)) – S(0)]/S(0)." The reader with experience in probability or linear algebra will have no problem following this discussion; a reader without the background will find this a mysterious leap. Needless to say, the level of sophistication demanded is much higher by the time the reader arrives at continuous time models in chapter eight and finds pages full of integral signs and partial derivatives.
The authors excel at situating results and at conveying essentials. For example, prior to stating and proving the first fundamental theorem of mathematical finance, they characterize the theorem as a generalization of earlier results that gave equivalent conditions to no arbitrage. Thus the reader is explicitly alerted to the result's importance and its connection to previous material. Frequently the authors indicate when one quantity is independent of others. For example, after developing the formula to price a European call option under a binomial model for the underlying stock (whose price moves up or down with probability p and 1 – p, respectively), they remark that the formula is independent of p, which is unknown, and instead uses the risk-free probability, which is easily computable.
Though compact, the book features plenty of examples, and tables and graphs enhance the discussion. For instance, when the authors want to motivate the concept of duration of a bond, they provide a long example investigating the values of 3-year bonds (with annual coupons) under various fluctuations in interest rates over the 3-year period. The tables supporting this example take up a page and a half, and a brief paragraph points out the important features of each table. With this example thoroughly analyzed, the authors ask what would happen if all annual coupons were a fixed dollar amount. The perhaps surprising result motivates the definition of duration.
Some of the reviewer's favorite parts of the book feature graphs. Three examples: 1) While treating a trinomial model, the authors provide discussion and plots of two very nice geometric interpretations of the risk-neutral probabilities. 2) The discussion of convexity of the option price as a function of the underlying stock is well done, and the accompanying graphs drive home the point. 3) In the discussion of portfolio management in chapter three, the various graphs of the μ–σ plane are one of the highlights of the text.
If studied slowly, this book provides an excellent introduction to financial engineering. For such a short text, the authors display impressive dexterity in ushering the reader from basics to an understanding of some of the deepest and most far-reaching ideas in the discipline.
David A. Huckaby is an associate professor of mathematics at Angelo State University.
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Fully covering the revised 2012 syllabus and addressing the new focus on applications and the GSC, this text has over 600 pages of guided explanation and exercises to ensure your students achieve the best results. An eBook with extensive digital material gives even more support, with interactive worked solutions, conceptual animations and more.This is an essentially self-contained book on the theory of convex functions and convex optimization in Banach spaces, with a special interest in Orlicz spaces. Approximate algorithms based on the stability principles and the solution of the corresponding nonlinear equationsaredeveloped in this text.A synopsis of the geometry of Banach spaces, aspects... more...
In North America, the most prestigious competition in mathematics at the undergraduate level is the William Lowell Putnam Mathematical Competition. This volume is a handy compilation of 100 practice problems, hints, and solutions indispensable for students preparing for the Putnam and other undergraduate mathematical competitions. Indeed, it will... more...
A is for Algebra-and that's the grade you'll pull when you use Bob Miller's simple guide to the math course every college-bound kid must take
With eight books and more than 30 years of hard-core classroom experience, Bob Miller is the frustrated student's best friend. He breaks down the complexities of every problem into easy-to-understand pieces... more...
An ideal course text or supplement for the many underprepared students enrolled in the required freshman college math course, this revision of the highly successful outline (more than 348,000 copies sold to date) has been updated to reflect the many recent changes in the curriculum. Based on Schaum's critically acclaimed pedagogy of concise theory... more...
From the author of the highly successful The Complete Idiot's Guide to Calculus comes the perfect book for high school and college students. Following a standard algebra curriculum, it will teach students the basics so that they can make sense of their textbooks and get through algebra class with flying colors
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Mathematics, a Simple View
Description: Mathematics, A Simple View is a book that covers the fundamentals of Algebra. Except for one, chapter, the book begins each chapter with either an every-day scenario or an illustration. It fuels a grounded understanding, and application thereof, ofMathematics, A Simple View is a book that covers the fundamentals of Algebra. Except for one, chapter, the book begins each chapter with either an every-day scenario or an illustration. It fuels a grounded understanding, and application thereof, of algebraic problems with their solutions.The book is written for persons age 14 years and upwards. Some topics covered include: Trigonometry (with sine and cosine rules); Quadratic Expressions and Equations; Simple Equations; Simple Functions and Graphical Functions
Dionne Barrett is a graduate of the University of the West Indies. After working with the Jamaican Ministry of Finance and Planning, in 1998 she entered in the Jamaican classroom where she taught Mathematics for a period of about nine and a half years.She began writing Mathematics, A Simple View in 2002, after being encouraged by a former student, who pointed out the value of her math notes. This she completed in 2007.By nature, Dionne is expressive and thinks that Mathematics, although having a language of its own, need not be as complicated as some texts have it. As such, she has sought to make it as reader friendly as possible
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Middle School: Pre-Algebra
This is a Subject Guide for Pre-Algebra and Algebra.
Research Strategy: When looking for materials in the LAPL catalog, it is helpful to do a search using the Subject Heading or Subject Browse option to the word: "Algebra." When searching for DVD, look for more current materials.
Books
510 S781 Stahl, Amy Barron's painless pre-algebra This is one of the best books for learning pre-algebra. It provides the basic concepts of pre-algebra including: Rational numbers, Basic algebra, Ratios and proportions, Percents, Integers, Exponents and roots, Multi-step equations and inequalities, Linear equations and Polynomials..
510 S997 Szecsei, Denise Basic Math and pre-Algebra s covering: numbers, integers, exponents, decimals, equations, ratios and percentages, graphs, linear functions, algebra & geometry, monomials & polynomials, and applications. Each chapter gives plenty of examples with step-by-step explanation. There are review sessions within the chapter to refresh what students had just learned. Word problems are included in many chapters.
58 2011 Bluman, Allan G. Pre-algebra demystified The book is divided into 12 chapters covering: whole numbers, integers, fractions, decimals, percentage, expressions and equations, ratio and proportion, geometry, measurement, graphing, monomials and polynomials. Each chapter clearly stated the objectives that student will achieve. Problems are explained in a step-by step process that students can easily understand. There are plenty of practice questions for students to follow along. Each chapter follows with a quiz students to review what has just learned. The Geometry chapter includes how to determine areas and volumes on various geometric figures.
512 L912 Low, Yvonne, Kyoodoz Algebra solution book. This book is the perfect solution for coming up with questions for the everyday quiz and exam for your classroom. There are also plenty of word problems to solve. It has step-by-step solution to each problem. It covers fractions, factoring & proportions, Inequalities, quadratic equations, exponents, logarithms, Pythagorean theorem, function, lines & equations, binomial expansions.
Online Resources
Live Homework Help – Online one-on-one tutoring services for K-12th grade. It covers Elementary Math, middle grade, algebra, geometry, trigonometry and calculus. This is a free tutoring service that is perfect for your students who are having difficulty solving questions on their own. A tutor will guide them to a specific homework problem or explain the various concepts in math.
Databases
Learning Express Library This database is on the LAPL website. It can be login from the library or another computer with a library card access. Under Middle School –Math Skills Improvement, one can find these useful topics and practice test: algebra and patterns, basic math, data analysis and probability, geometry and measurement, and California 8th Grade mathematics practice test.
AccessScience (McGraw-Hill Encyclopedia of Science & Technology) This database is on the LAPL website. It can be login from the library or another computer with a library card access. Online version of the standard encyclopedia with updated science and technology news, biographies, learning resources, study guides, and links to related web sites. It gives an academic explanation on the various mathematic terms and concepts.
Websites
This is one of the best math help websites, includes jokes, SAT vocabulary quiz, and interactive homework problems. Topics include Pre-Algebra, linear Algebra and other college Algebra.
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What is Complex Variables?
This course and the course text are between the level of the prerequisite
Multivariate Calculus (320) and the capstone courses Algebra and Real Analysis
(461-2 and 481-2). In many ways this course is a continuation of the calculus,
but we are now doing the work using complex (rather than real) variables. This
involves a reexamination of the transcendental functions (for example, what
should ln(i), sin(i) and ii mean?), then
an application of differentiation and integration to functions of complex
variables.
Look at the catalog description of the course:
You have seen these ideas (though not all of these words) before: 'Analytic'
is a generalization of 'differentiable,' 'Laurent series' are just a generalization
of (complex) Taylor series... This is both good news and bad news. The
good news is that since you have seen these ideas, what we learn this semester
will not be totally new and should fit well in you recall from previous
courses (especially calculus). The
bad news is that I will expect you to remember som calculus--so you might need
to keep your old calculus book handy.
The title of our course is complex variables (as opposed to complex
analysis)
which indicates the department's intention that the course emphasize application
rather than proof. But this is a senior level math course, so you will get
a dose of proof (especially at the beginning of the course)! We will not,
however, do anywhere near as much proof as in Abstract Algebra or Real Analysis;
and will will be much less formal about it.
How do we succeed?
The suggestions are the same for most any mathematics class:
Come to class and do the homework
Always seek to understand, not just memorize.
Study with a friend. Make a new friend
if necessary! Usually many of the class works in the Math Lab-so perhaps
you can work there.
Use other complex variables books as references. Get familiar
with the library.
Stay ahead of the class in the text (we will move
through it sequentially, skipping some of the optional sections but we will
not "hop around" much).
Come by my office. Do not hesitate because I look busy. I rarely
just sit around, but you are my top priority.
Do not fall behind.
Always do the homework (and maybe even extra problems).
I want you to succeed and will gladly
help you, but you must start by working on the homework and reading the
text (even if you cn not do it, at leasts start). Many of the other
faculty member might also
be able to answer some questions (if they have time), but few have taught this course recenty.
How will we determine the grade?
Homework will be assigned daily but sporadically collected. At the beginning
of the following class period I may ask students to present parts of the homework
as "board problems." I expect you to use your homework as notes.
We will have about four, fifty minute tests and a comprehensive final. The
homework should give you an excellent idea what the test question will look like. The
course grade will probably be determined as follows:
Letter grades will then be assigned at my discretion (but at any time in the semeser I will gladly tell you were you are "grade-wise" and usually do so after every test).
What textbook will we use?
The text for this course is: Complex Variables and Applications by Brown and Churchill, 4th edition. Publisher McGraw-Hill. ISBN: 978-0073051949. We will cover much of chapters
one through nine. See also the department
syllabus.
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brief and accessible introduction to the theory of finite fields and to some of their many fascinating and practical applications. The first chapter is devoted to the theory of finite fields. After covering their construction and elementary properties, the authors discuss the trace and norm functions, bases for finite fields, and properties of polynomials over finite fields. Each of the remaining chapters details applications. Chapter 2 deals with combinatorial topics such as the construction of sets of orthogonal latin squares, affine and projective planes, block designs, and Hadamard matrices. Chapters 3 and 4 provide a number of constructions and basic properties of error-correcting codes and cryptographic systems using finite fields. Each chapter includes a set of exercises of varying levels of difficulty which help to further explain and motivate the material. Appendix A provides a brief review of the basic number theory and abstract algebra used in the text, as well as exercises related to this material. Appendix B provides hints and partial solutions for many of the exercises in each chapter. A list of 64 references to further reading and to additional topics related to the book's material is also included. Intended for advanced undergraduate students, it is suitable both for classroom use and for individual study. This book is co-published with Mathematics Advanced Study Semesters.
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"The book is very well written and most stimulating. In addition, it is well suited for self-study. The student having a course using this book or anyone studying it will be substantially rewarded. On the whole, the authors succeed in providing a nice introduction to an active field of research." ---- Mathematical Reviews
"Altogether, this undergraduate text is an extremely carefully written introduction to the subject for beginners, which stands out by its remarkable features: instructional mastery, lucidity, diversity, profundity, topicality, and user-friendly determination. Being a lovely invitation to this current topic of mathematical (and interdisciplinary) research, the book is perfectly suitable both for classroom use and for individual study." ---- Zentralblatt MATH
Most Helpful Customer Reviews
To transmit photos from Mars back to earth, to download files from Internet where the server resides a few thousand miles away, and to send email globally are fascinating. Thus to understand the mathematics which made "... possible for the person receiving a message to detect and correct errors that have arisen during the transmission process" is interesting. "The detection of errors is accomplished by noticing that the received sequence is not a codeword ... For some code, it is possible for the receiver to determine, with high probability, the intended message when the received sequence is not a codeword. Such codes are ... called error-correcting codes." Gary L. Mullen and Carl Mummert's "Finite Field and Applications" introduces the error-correcting codes (algebraic coding theory) and the related mathematics. The book has four chapters. They are: finite fields, combinatorics, algebraic coding theory, and cryptography.
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Essentials of College Algebra
Browse related Subjects
...Read More specifically designed to provide a more compact and less expensive text for courses that do not include the more advanced topics covered in the longer text. Focused on helping students develop both the conceptual understanding and the analytical skills necessary to experience success in mathematics, the authors present each mathematical topic in this text using a carefully developed learning system to actively engage students in the learning process. The book addresses the diverse needs of today's students through a clear design, current figures and graphs, helpful features, careful explanations of topics, and a comprehensive package of available supplements and study aids
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Math Matters
MATH MATTERS: Why do I need to know this?
Math Matters: Why Do I Need To Know This? originally appeared during the Spring 2006 semester as a half-hour program on WKU's
campus cable system. Dr. Bruce Kessler, at that time Assistant Dean (now the Head
of the Mathematics Department in WKU's Ogden College of Science & Engineering) and
a WKU math professor, wrote and hosted the program, which focused on how the mathematics
being taught in WKU's General Math, College Algebra, and Math for Elementary Teachers
courses was and still is applied in the real world. The shows have since been segmented
into roughly 8 minute vignettes that can be downloaded from this website and from iTunes U.
This program was produced by WKYU-PBS, using their studio and students in the production,
and was supported by a Provost's Initiative for Excellence grant, the Ogden College
of Science and Engineering, the Department of Mathematics, and Housing and Residence
Life. For questions regarding the show, contact Bruce Kessler at mathmatters@wku.edu or at (270) 745-3651.
About the Host
A 1989 graduate of Western Kentucky University, Dr. Bruce Kessler completed his Masters
at Vanderbilt in 1991, and returned to WKU as a math instructor at the Glasgow Regional
Campus. Kessler returned to Vanderbilt in 1994 to work on his Ph.D. under the direction
of Doug Hardin, and finished in 1997. Today, he is a professor and the Head of the
WKU Department of Mathematics.
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Trigonometry - 2nd edition
TRIGONOMETRY is designed to help you learn to ''think mathematically.'' With this text, you can stop relying on merely memorizing facts and mimicking examples--and instead develop true, lasting problem-solving skills. Clear and easy to read, TRIGONOMETRY illustrates how trigonometry is used and applied to real life, and helps you understand and retain what you learn in class80 +$3.99 s/h
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$114.55114.55
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Differential Equations
9780495012658
ISBN:
0495012653
Edition: 3 Pub Date: 2005 Publisher: Thomson Learning
Summary: Incorporating a modeling approach throughout, this exciting text emphasizes concepts and shows that the study of differential equations is a beautiful application of the ideas and techniques of calculus to everyday life. By taking advantage of readily available technology, the authors eliminate most of the specialized techniques for deriving formulas for solutions found in traditional texts and replace them with topi...cs that focus on the formulation of differential equations and the interpretations of their solutions. Students will generally attack a given equation from three different points of view to obtain an understanding of the solutions: qualitative, numeric, and analytic. Since many of the most important differential equations are nonlinear, students learn that numerical and qualitative techniques are more effective than analytic techniques in this setting. Overall, students discover how to identify and work effectively with the mathematics in everyday life, and they learn how to express the fundamental principles that govern many phenomena in the language of differential equations.
Devaney, Robert L. is the author of Differential Equations, published 2005 under ISBN 9780495012658 and 0495012653. Ten Differential Equations textbooks are available for sale on ValoreBooks.com, and six used from the cheapest price of $27.63.[read more
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Math in Our World - 2nd edition
ISBN13:978-0077356651 ISBN10: 0077356659 This edition has also been released as: ISBN13: 978-0072982534 ISBN10: 0072982535 Ste
p Approach. The result is an exceptionally engaging text that is able to both effectively and creatively convey the basic concepts fundamental to a liberal arts math curriculum for even the most hesitant student. Step Approach. The result is an exceptionally engaging text that is able to both effectively and creatively convey the basic concepts fundamental to a liberal arts math curriculum for even the most hesitant student
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Print Book
Description
A broad range of current experimental research on numerical cognition and the acquisition of mathematical skills is covered in this volume. The individual chapters provide in-depth analysis of specific issues, methodologies, phenomena, and theory. The book is divided into two parts. In the first part the focus is on the acquisition and development of numerical skills. Part 2 of the book contains research on the information-processing basis of numerical skills, focusing on the mechanisms of perception, attention, and memory that support number skills.
The range of theoretical and methodological orientations represented in the volume captures both the diversity and coherence of contemporary research into mathematical skills. The research of educational psychologists, cognitive psychologists, and cognitive neuropsychologists mutually informs and reinforces theoretical developments within each area. The multidisciplinary interest in mathematics skills reflects the pervasiveness and importance of mathematics in education, technology, and science, and also indicates that questions about mathematical competence address important issues in diverse areas of psychology and cognitive science.
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More About
This Textbook
Overview
Maple V Mathematics Programming Guide is the fully updated language and programming reference for Maple V Release 5. It presents a detailed description of Maple V Release 5 - the latest release of the powerful, interactive computer algebra system used worldwide as a tool for problem-solving in mathematics, the sciences, engineering, and education. This manual describes the use of both numeric and symbolic expressions, the data types available, and the programming language statements in Maple. It shows how the system can be extended or customized through user defined routines and gives complete descriptions of the system's user interface and 2D and 3D graphics capabilities
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Prerequisite: ALG 1A & 1B. The basics of geometry, including figures, measures, proofs, parallels, properties of congruencies, and polygons will be covered in this course.Required textbook (Sold separately):
You will submit all lessons for this course electronically. Your work for each lesson will need to be saved as a PDF in order to submit the lesson for grading. If you have multiple pages, those pages will need to be saved as one file before uploading.
There are several ways to save your completed lesson work as a PDF. One of the most common ways is to use a scanner to scan your pages into a digital document. Some scanners will allow you to scan your pages and save them as a PDF. If you are not able to scan to a PDF, you will need to convert your scanned pages to PDF files. You can do a Google search for "PDF creator online" to find software to convert your pages to PDF files. One of the most popular sites is PrimoPDF.
If you have several PDF files, you will need to merge those files into one large file before submitting your assignment for grading. Again, do a Google search for "Merging PDF files" to find online software to complete this task. PDFMerge! is a good site for merging files. Another good resource is PDF Binder. You can find any of these tools by doing a Google search for its name.
We have also provided instructions for the ACECAD DigiMemo L2 and the ACECAD DigiMemo 692 for both PC (Windows XP/Vista/7) and Mac (OS X) users. Please note that students are not required to use the ACECAD DigiMemo. This is just one tool that will allow students to create a PDF.
IMPORTANT: TTUISD staff is only able to offer limited technical support for scanners or the digital notepad system. Please refer to the support documentation bundled with your particular device and/or seek direct support from its manufacturer.
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MISSION STATEMENT
The mission of Park University, an entrepreneurial institution of learning, is to provide access to academic excellence, which will prepare learners to think critically, communicate effectively and engage in lifelong learning while serving a global community.
VISION STATEMENT
Park University will be a renowned international leader in providing innovative educational opportunities for learners within the global society.
COURSE DESCRIPTION: A study of the current methods for developing meaningful mathematical concepts
in childhood through the primary grades.
FACULTY'S EDUCATIONAL PHILOSOPHY: I believe every student can learn and succeed given the appropriate opportunities. The challenge is to meet the varying needs of students while promoting, fostering and expecting academic excellence. The curriculum is ever changing and modifying and adjusting while integrating new ideas and technologies. The environment instills that everyone is responsible for themselves and their community.
COURSE OBJECTIVES: Students will demonstrate a knowledge and understanding of circular functions and their applications. Students will be able to work with polynomials, exponential and logarithmic functions and their graphs.
ACADEMIC HONESTY: Attendance will be taken every class period. There is a daily signup sheet at the front of the room. Every student is expected to sign it and attend every class.
LATE SUBMISSION OF COURSE MATERIALS: Assignments not submitted on the due date will receive a grade of "zero".
COURSE ASSESSMENT: Classes will include lectures, group participation, class
activities and the use of new technology. Homework for practice will be assigned each class period. Grades of A(90%), B(80%), C(70%), D(60%), and F(less that 60%) will be given. There will be three classroom tests (100 points each), and a comprehensive final (100 points). There are NO MAKEUP tests given. However, your lowest classroom test grade(out of the three given) will be dropped. A comprehensive Final is mandatory. The instructor will announce class policies. The instructor reserves the right to change the syllabus.
CLASSROOM RULES OF CONDUCT: All students are expected to be present and on time with homework assigned completedNeed Help?
1. Come see ME!
2. Go to Academic Support Center (MA406). Times vary, but tutoring is available M-F days and some evenings. Tutoring is free! Tutors will not do a student's homework, but will help the student understand the concepts and skills needed.
3. On the Internet: Ask Dr. Math (
4. Use a graphing calculator available on the Internet (
5. Use MATHXL, the website designed to go with the book
(
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Description
This application is multifunctional. It includes: - Advanced engineering and scientific calculator with interface for expressions building. It expression you can use as functions (see below). - Math function's graph drawer. In this plotter you can set drawing borders (red curve is function graph. green curve is different graph). - Math Analysis interface. It can differentiate , integrate and tale function value in every point, take zero points. If this application have a bug(s) or poor displayed on your device, send the problem on the developer's e-mail and it guaranteed will be fixed within 2SimilarThis application has been designed and engineered for easy operation at any level. The natural display and enhanced features makes it versatile and the perfect choice for high school and college students alike. areA history feature will allow you to save as many equations as you need and allow you to retrieve them when needed or edit them. No need to press the = button because Calcularis is always calculating.
The full equation with multiple lines makes it easy to keep track of what your are calculating. All the standard scientific functions are on visible keys. There is a scientific and engineering notation mode as well.
Simply the the best free scientific calculator on the market.
The paid mode has the following additional features:
* applications such as Tip and split calculator, Loan calculator, math equations like quadratic equation. * large set of constants * unit conversions * more functions accessed from the FN button * more key layouts such as a 10 Key and Programmer/logical calculator accessed from the KEYS button
During the trial period (two weeks), you can use the features of the paid mode to try them out. After the trial period, the main features of the calculator will continue to work and will remain free.
Move over RealCalc, the new #1 Android scientific calculator has arrived. Some have asked the question whether you still need your TI, HP, Casio or Sharp calculators. The answer is yes. Phones are not usually allowed in the classroom or in testing centers. You will always need your old calculator for that. Plus calculators like TI-83, TI-84, TI-89 and TI-Nspire include graphing capability that is not currently supported.
Use this super ruler for your measurements! It simple and useful! This included centimiters and inches scales (use the Units button). With micrometer you get very accuracy measurement. You can calibrate it any time. Precision is 0.1 - 0.2 mm depending device and your measurement practice.
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AGC 3.0 All Tutorials
Installing the Audio Graphing Calculator
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The AGC makes graphs and charts accessible both through audio and tactile feedback offering students a unique way to learn information that was not previously accessible or comprehensible. This tutorial guides you through the AGC installation process.
Expression Evaluator
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With the use of the Evaluator page it is possible to enter a row of expressions that together with their answers
can be saved for later use. This tutorial will guide you through the options on this tab page in AGC.
Matrix
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The Audio Graphing Calculator allows you to add subtract and multiply matrices as well as solve systems of equations finding the determinant of a square matrix and finding the inverse of a square matrix.
Plot
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The Plot page helps you choose which Data set or source to graph from. As shown in the previous text it is possible to have 2 data sets plotted simultaneously with their sum or difference or as a derivative of Data Set 1.
Wave
Speech
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The Speech Tab page gives you the option to choose the type of voice you want to hear with your calculator. You can choose from existing options or pick the voice you are used to hearing from the displayed list. This page also features the options to increase or decrease speech rate pitch and volume.
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Find an Opa LockaThe following are the topics most often found in Discrete Math Text Books: Set theory, Graph theory, Probability, Number theory, Algebra, Calculus of finite differences, discrete calculus or discrete analysis, Geometry, Topology, Game theory, decision theory, utility theory, and social choice the
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This review is from: A Mathematical Bridge: An Intuitive Journey in Higher Mathematics (Paperback)
I really can't praise this book more. I'm currently studying maths at the Open University, and this book adds colour and depth to the subject. The examples and discussions give you an understanding that feels like it'll stick around, rather than fading in a few weeks. I found myself diving into quite obscure (for practical purposes) ideas - number theory was one I'd never before found intriguing.
It's fairly pricey, but if you're trying to study and find maintaining or interest tricky it's cheaper than the time you'll otherwise waste.
Once I've got through it I'll come back and say more. I may be a much older man by the time I've managed that, but I'll be a wiser one :)
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Overview
"The straight-forward clarity of the writing is admirable." — American Mathematical Monthly. This ...
More About
This Book
Overview
"The straight-forward clarity of the writing is admirable." — American Mathematical Monthly.
This for non-mathematicians, Professor Mirsky's book is nevertheless a systematic and rigorous development of the subject.
Part I deals with determinants, vector spaces, matrices, linear equations, and the representation of linear operators by matrices. Part II begins with the introduction of the characteristic equation and goes on to discuss unitary matrices, linear groups, functions of matrices, and diagonal and triangular canonical forms. Part II is concerned with quadratic forms and related concepts. Applications to geometry are stressed throughout; and such topics as rotation, reduction of quadrics to principal axes, and classification of quadrics are treated in some detail. An account of most of the elementary inequalities arising in the theory of matrices is also included. Among the most valuable features of the book are the numerous examples and problems at the end of each chapter, carefully selected to clarify points made in
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Supported by the NSF, QELP provides resources to integrate math and environmental science in college classrooms. It features data sets (search by math or environment topic), a book of classroom exercises, and links to
An introduction and a guide to trigonometry, with hints and answers to exercises, and Java applets as illustrations. Contents include applications of trigonometry, angle measurement, chords, sines, cosines, tangents and...
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Ergodic theory is hard to study because it is based on measure theory, which is a technically difficult subject to master for ordinary students, especially for physics majors. Many of the examples are introduced from a different perspective than in other books and theoretical ideas can be gradually absorbed while doing computer experiments. Theoretically... more...
Master the fundamentals of advanced calculus with this high-performance study guide
Students love Schaum's Outlines because they produce results. Each year, hundreds of thousands of students improve their test scores and final grades with these indispensable study guides.
Schaum's Outlines give you the information your teachers expect you... more...
Take the FEAR OUT of Business Calculus Business Calculus Demystified clarifies the concepts and processes of calculus and demonstrates their applications to the workplace. Best-selling math author Rhonda Huettenmueller uses the same combination of winning step-by-step teaching techniques and real-world business and mathematical examples that... more...
Your INTEGRAL tool for mastering ADVANCED CALCULUS
Interested in going further in calculus but don't where to begin? No problem! With Advanced Calculus Demystified , there's no limit to how much you will learn.
Beginning with an overview of functions of multiple variables and their graphs, this book covers the fundamentals, without spending... more...
Gives a self-contained approach of holomorphic Morse inequalities and the asymptotic expansion of the Bergman kernel on manifolds by using the heat kernel. This book opens perspectives on several active areas of research in complex, Kahler and symplectic geometry. more...
When a new extraordinary and outstanding theory is stated, it has to face criticism and skepticism, because it is beyond the usual concept. The fractional calculus though not new, was not discussed or developed for a long time, particularly for lack of its applications to real life problems. It is extraordinary because it does not deal with ???ordinary???... more...
This book deals with the analysis of linear operators from a quasi-Banach function space into a Banach space. The central theme is to extend the operator to as large a (function) space as possible, its optimal domain, and to take advantage of this in analyzing the original operator. Applications are given to Maurey-Rosenthal factorization of operators... more...
.... more...
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MATHEMATICS (MTH)
MTH 080. MATHEMATICS LABORATORY (0-1-1)
This course is designed to offer supplemental help to students in mathematics. Students work in a laboratory situation under qualified instructors. This course may be repeated as needed. Emphasis is on arithmetic and algebra as determined by the individual need of the students. Non-degree creditable.
MTH 090. BASIC MATHEMATICS (3-0-3)
This is a developmental course reviewing arithmetical principles and computations designed to help the student's mathematical proficiency for selected curriculum entrance. Non-degree creditable.
MTH 091/092. DEVELOPMENTAL ALGEBRA I-II (4-0-4) PREREQUISITE: MTH 090 or appropriate mathematics placement score.
This sequence of developmental courses provides the student with a review of arithmetic and algebraic skills designed to provide sufficient mathematical proficiency necessary for entry into Intermediate College Algebra. Non-degree creditable.
COREQUISITE: MTH 080.
This course is a review of the fundamental arithmetic and algebra operations. The topics include the numbers of ordinary arithmetic and their properties; integers and rational numbers; the solving of equations; polynomials and factoring; and an introduction to systems of equations and graphs.
MTH 100. INTERMEDIATE COLLEGE ALGEBRA (3-0-3)
PREREQUISITE: MTH 092, 098, or appropriate mathematics placement score.
This course provides a study of algebraic techniques such as linear equations and inequalities, quadratic equations, systems of equations, and operations with exponents and radicals. Functions and relations are introduced and graphed with special emphasis on linear and quadratic functions. This course does not apply toward the general core requirement for mathematics.
MTH 110. FINITE MATHEMATICS a C or higher (S if taken as pass/fail) Intermediate College Algebra. This course is intended to give an overview of topics in finite mathematics together with their applications, and is taken primarily by students who are not majoring in science, engineering, commerce, or mathematics (i.e., students who are not required to take Calculus). This course will draw on and significantly enhance the student's arithmetic and algebraic skills. The course includes sets, counting, permutations, combinations, basic probability (including Baye's Theorem), and introduction to statistics (including work with Binomial Distributions and Normal Distributions), matrices and their applications to Markov chains and decision theory. Additional topics may include symbolic logic, linear models, linear programming, the simplex method and applications.
MTH 112. PRECALCULUS ALGEBRA C or higher (S if taken as pass/fail) Intermediate College Algebra. This course emphasizes the algebra of functions - including polynomial, rational, exponential, and logarithmic functions. The course also covers systems of equations and inequalities, quadratic inequalities, and the binomial theorem. Additional topics may include matrices, Cramer's Rule, and mathematical induction.
MTH 113. PRECALCULUS TRIGONOMETRY 112. This course includes the study of trigonometric (circular functions) and inverse trigonometric functions, and includes extensive work with trigonometric identities and trigonometric equations. The course also covers vectors, complex numbers, DeMoivre's Theorem, and polar coordinates. Additional topics may include conic sections, sequences, and using matrices to solve linear systems.
MTH 115. PRECALCULUS ALGEBRA AND
TRIGONOMETRY 100 and receive permission from the department chairperson. This course is a one semester combination of Precalculus Algebra and Precalculus Trigonometry intended for superior students. The course covers the following topics: the algebra of functions (including polynomial, rational, exponential, and logarithmic functions), systems of equations and inequalities, quadratic inequalities, and the binomial theorem, as well as the study of trigonometric (circular functions) and inverse trigonometric functions, and includes extensive work with trigonometric identities and trigonometric equations, vectors, complex numbers, DeMoivre's Theorem, and polar coordinates.
MTH 120. CALCULUS AND ITS APPLICATIONS 112. This course is intended to give a broad overview of calculus and is taken primarily by students majoring in Commerce and Business
Administration. It includes differentiation and integration of algebraic, exponential, and logarithmic functions and applications to business and economics. The course should include functions of several variables, partial derivatives (including applications), Lagrange Multipliers, L'Hopital's Rule, and multiple integration
(including applications).
MTH 125. CALCULUS I 113 or MTH 115. This is the first of three courses in the basic calculus sequence taken primarily by students in science, engineering, and mathematics. Topics include the limit of a function; the derivative of algebraic, trigonometric, exponential, and logarithmic functions; and the definite integral and its basic applications to area problems. Applications of the derivative are covered in detail, including approximations of error using differentials, maximum and
minimum problems, and curve sketching using calculus.
MTH 126. CALCULUS II 125. This is the second of three courses in the basic calculus sequence. Topics include vectors in the plane and in space, lines and planes
in space, applications of integration (such as volume, arc length, work and average value), techniques of integration, infinite series, polar coordinates, and parametric equations
MTH 227. CALCULUS III (4-0-4)
PREREQUISITE: MTH 126.
This is the third of three courses in the basic calculus sequence. Topics include vector functions, functions of two or more variables, partial derivatives (including applications), quadric surfaces, multiple integration, and vector calculus (including Green's Theorem, Curl and Divergence, surface integrals, and Stokes'
Theorem.
MTH 231. MATH FOR THE ELEMENTARY TEACHER I (3-0-3)
PREREQUISITE: As required by program.
This course is designed to provide appropriate insights into mathematics for students majoring in elementary education and to ensure that students going into elementary education are more than proficient at performing basic arithmetic operations. Topics include logic, sets and functions, operations and properties of whole numbers and integers including number theory; use of manipulatives by teachers to demonstrate abstract concepts; and by students while learning these abstract concepts as emphasized in the class. Upon completion, students are required to demonstrate proficiency in each topic studied as well as to learn teaching
techniques that are grade level and subject matter appropriate, and test for mathematical proficiency and the learning of teaching concepts.
MTH 232. MATH FOR THE ELEMENTARY TEACHER II (3-0-3)
PREREQUISITE: MTH 231.
This course is the second of a three-course sequence and is designed to provide appropriate insights into mathematics for students majoring in elementary education and to ensure that students going into elementary education are more proficient at performing basic arithmetic operations. Topics include numeration
skills with fractions, decimals and percentages, elementary concepts of probability and statistics, and analytic geometry concepts associated with linear equations and inequalities. The use of manipulatives and calculators in the teaching and learning process is stressed. Upon completion, students will test for mathematical proficiency and the learning of teaching concepts. Students also will demonstrate an appropriate teaching technique by preparing a lesson and teaching it to the class for their final exam grade.
MTH 238. APPLIED DIFFERENTIAL EQUATIONS I (3-0-3)
COREQUISITE: MTH 227.
An introduction to numerical methods, qualitative behavior of first order differential equations, techniques for solving separable and linear equations analytically, and applications to various models (e.g., populations, motion, chemical mixtures, etc.); techniques for solving higher order linear differential equations with constant coefficients (general theory, undetermined coefficients, reduction of order and the method of variation of parameters), with emphasis on interpreting the behavior of the solutions, and applications to physical models whose governing equations are of higher order; the Laplace transform as a tool for the solution of initial value
problems whose inhomogeneous terms are discontinuous.
MATHEMATICS—CAREER AND TECHNICAL (MAH) MAH 101. INTRODUCTORY MATHEMATICS I (2-2-3)
PREREQUISITE: Satisfactory placement score.
This course is a comprehensive review of arithmetic with basic algebra designed to meet the needs of certificate and diploma programs. Topics include business and industry related arithmetic and geometric skills used in measurement, ratio and proportion, exponents and roots, applications of percent, linear equations, formulas, and statistics. Upon completion, students should be able to solve practical problems in their specific occupational areas of study. Non-degree creditable.
Wallace Community College affords equal opportunity to all employees and applicants for admission or employment regardless of race, color, gender, religion, national origin, age, or disability. WCC will make reasonable accommodations for persons with disabilities.
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A hands-on introduction to the theoretical and computational aspects of linear algebra using Mathematica.
The book begins with an introduction to the commands and programming guidelines for working with Mathematica. Next, the authors explore linear systems of equations and matrices, applications of linear systems and matrices, determinants, inverses, and Cramer's rule. Basic linear algebra topics, such as vectors, dot product, cross product, and vector projection are explored, as well as a unique variety of more advanced topics including rotations in space, 'rolling' a circle along a curve, and the TNB Frame. Subsequent chapters feature coverage of linear transformations from Rn to Rm, the geometry of linear and affine transformations, with an exploration of their effect on arclength, area, and volume, least squares fits, and pseudoinverses.
Mathematica is used to enhance concepts and is seamlessly integrated throughout the book through symbolic manipulations, numerical computations, graphics in two and three dimensions, animations, and programming. Each section concludes with standard problems in addition to problems that were specifically designed to be solved with Mathematica, allowing readers to test their comprehension of the presented material. All related Mathematica code is available on a corresponding website, along with solutions to problems and additional topical resources.
Extensively class-tested to ensure an accessible presentation, Principles of Linear Algebra with Mathematica is an excellent book for courses on linear algebra at the undergraduate level. The book is also an ideal reference for students and professionals who would like to gain a further understanding of the use of Mathematica to solve linear algebra problems.
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These popular and proven workbooks help students build confidence before attempting end-of-chapter problems. They provide short problems and exercises that focus on developing a particular skill, often requiring students to draw or interpret sketches and graphs, or reason with math relationships. New to the Second Edition are exercises that provide guided practice for the textbook's Problem-Solving Strategies, focusing in particular on working symbolicallyellBackYourBook Aurora, IL
0321596331
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...
More About
This Book
textbook.
The first part of this book covers simple differential calculus, with constants, variables, functions, increments, derivatives, differentiation, logarithms, curvature of curves, and similar topics. The second part covers fundamental ideas of integration (inspection, substitution, transformation, reduction) areas and volumes, mean value, successive and partial integration, double and triple integration. In all cases the author stresses practical aspects rather than theoretical, and builds upon such situations as might occur.
A 50-page section illustrates the application of calculus to specific problems of civil and nautical engineering, electricity, stress and strain, elasticity, industrial engineering, and similar fields. 756 questions answered. 566 problems to measure your knowledge and improvement; answers. 36 pages of useful constants, formulae for ready reference
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The course is designed for students who have
taken UK A level maths or IB Higher Level Maths. Knowledge of basic calculus is assumed as
well as good algebraic ability. Material
in the A level Mathematics core syllabus is taken as the starting point. Knowledge of simple 2D vectors is assumed,
Knowledge of complex numbers is not assumed.
Students considering registering for this
course must have attained passes in A-levels or the equivalent that meet the
minimum requirements for admission onto the undergraduate programmes in
Mechanical Engineering.
Course Aims and Objectives
To provide the necessary mathematical skills
required for the other 1st year engineering subjects. To put the mathematics into an Engineering
context and remind students of the difference between mathematical equations
and the real world.
Method of Instruction
Lecture presentations with problem sheets and
regular tutorial classes. The class is
subdivided for tutorials. This is a
predominantly lecture based class.
Assessment
An end of academic year exam and coursework
will be used to assess the course. The
coursework will consist of two tests and some quizzes during the year. The first test is in the second week of term
(UCL week 6) and the second is the mid-year test, usually in the last week of
term. The quizzes will be open book,
last about 45min. and will be held at regular intervals during the course. Your worst quiz mark will be discounted. The 75% of the marks for the course will come
from the end of year exam, a significant proportion will come from the tests
and the remainder from the quizzes. The
pass mark is 40% which is based on your overall mark, there is no requirement
to pass each individual component.
Recommended Reading
All students are sent a maths
refresher pack shortly before joining UCL.
No single book covers the entire course,
but "Engineering Mathematics" 6th Ed by K.A. Stroud comes
fairly close and this will be used as the standard text for this course. Part I "Foundation Topics" provides a
useful revision of core A. level material. "Foundation Mathematics" by K.A. Stroud is a new book that covers
pre University Mathematics.
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