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PRECALCULUS: FUNDAMENTALS OF MATHEMATICS (SMT-271204)
Learn the foundational concepts needed to prepare for further studies in mathematics and its applications. Topics covered will include: precise and correct usage of mathematical terminology, sets, functions and their inverses, rational functions, linear, quadratic, cubic and quartic equations, trigonometry, exponential and logarithmic functions, changing number bases, complex numbers, graphing, and solving word problems. The Maple computer algebra system will be employed as a tool for exploration.
Students will individualize their learning experience by selecting one of three possible tracks: preparation for Calculus, preparation for Discrete Mathematics, or preparation for mathematical aspects of studies in Business. Selected additional topics will be covered in accordance with the individual student's chosen track.
The primary audience for this study consists of beginning students who are planning further studies in Mathematics, related fields, IS/IT, or Business. This course will also be appropriate for students seeking general education credit in mathematics.
Important Note: students should not include Precalculus twice in their degree program. This topic may only be studied once, either in the 2 credit version or in the 4 credit version.
Prerequisites: Algebra
This course fully meets the General Education requirement in Mathematics. |
Understanding Real Analysis - 10 edition
Summary: In this introduction to real analysis, a branch of mathematical analysis dealing with the set of real numbers and their operations, Paul Zorn (St. Olaf College) aims to develop ideas already familiar from elementary calculus in a rigorous manner. The text will help students deeply understand some basic but crucial mathematical ideas, and to see how definitions, proofs, examples, and other forms of the mathematical 'apparatus' work together to create a unified theory. A key feature of...show more the book is that it includes substantial treatment of some foundational material, including general theory of functions, sets, cardinality, and basic proof techniques. ...show less
Hardcover Fair 156881415152 |
Book summary
Provides a foundation in modern approximation techniques and explains how, why and when they can be expected to work. This edition places greater emphasis on providing applied problems from diverse areas so that students understand how numerical methods are used in "real-life" situations. [via] |
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Solucionario Matematica 3 Jonathan Linares
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At Inside Mathematics, we've assembled multiple ways for educators to begin to transform their teaching practices. You might be in search of materials and tasks you can use immediately with your students; you can search by grade level and content area below to find core mathematical principles as well as materials developed by the Mathematics Assessment Resource Service (MARS). If you want to develop your understanding of the national Common Core Standards for Mathematical Practice #4, look here.
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Basic philosophy of planning and design of structures. Loads on structures. Design criteria and factors of safety. Design of reinforced concrete structural elements using the ultimate strength design method. Load factor design of structural steel members and connections. Structural system design concepts. Approximate and computational analysis methods. Emphasis on problem-based learning through design project(s) on which students work as design teams. Special topics such as design of cable structures and prestressed concrete structures. Constructability and structural control. This course aims at providing students with a solid background on the principles of structural engineering design. Students will be exposed to the theories and concepts of both concrete and steel design and analysis both at the element and system levels. Hands-on design experience and skills will be gained and learned through problem sets and a comprehensive design project. An understanding of real-world open-ended design issues will be developed. Besides regular lectures, weekly recitations and project discussion sessions will be held.
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In this lesson students are introduced to Architect, Jeremy Peang-Meth. Mr. Peang-Meth ...
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In this lesson students are introduced to Architect, Jeremy Peang-Meth. Mr. Peang-Meth was asked to design a local, renewable energy source for building located in the heart of New York City. While the tall buildings surrounding the site caused some obvious problems, there were also some benefits to the site. Students are asked to consider the constraints posed by the location of the building and then, based on their analysis of those constraints, to find a roof location that will provide good energy capture from the wind. After they have made that choice, students are invited to view Mr. Peang-Meth's solution as he presents it in the provided video.
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Limits, Limits Everywhere:The Tools of Mathematical Analysis
Overview
An account of elementary real analysis positioned between a popular mathematics book and a first year college or university text. This book doesn't assume knowledge of calculus and, instead, the emphasis is on the application of analysis to number theory. |
Precalculus
9780136015789
ISBN:
0136015786
Edition: 5 Pub Date: 2008 Publisher: Prentice Hall
Summary: The authors understand what it takes to be successful in mathematics, the skills the students bring to the course, and the way that technology can be used to enhance learning without sacrificing maths skills. They have created a textbook with an overall learning system involving preparation, practice and review.
Sullivan, Michael is the author of Precalculus, published 2008 under ISBN 9780136015789 and 01360...15786. Sixty five Precalculus textbooks are available for sale on ValoreBooks.com, fifty one used from the cheapest price of $11.76, or buy new starting at $96.44 |
Concrete Mathematics A Foundation for Computer Science
9780201558029
ISBN:
0201558025
Edition: 2 Pub Date: 1994 Publisher: Addison-Wesley
Summary: This book introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid and relevant base of mathematical skills - the skills needed to solve complex problems, to evaluate horrendous sums, and to discover subtle patterns in data. It is an indispensable text and reference not only for computer scientists - the auth...ors themselves rely heavily on it! - but for serious users of mathematics in virtually every discipline. Concrete Mathematics is a blending of CONtinuous and disCRETE mathematics. "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems." The subject matter is primarily an expansion of the Mathematical Preliminaries section in Knuth's classic Art of Computer Programming, but the style of presentation is more leisurely, and individual topics are covered more deeply. Several new topics have been added, and the most significant ideas have been traced to their historical roots. The book includes more than 500 exercises, divided into six categories. Complete answers are provided for all exercises, except research problems, making the book particularly valuable for self-study. Major topics include: Sums Recurrences Integer functions Elementary number theory Binomial coefficients Generating functions Discrete probability Asymptotic methods This second edition includes important new material about mechanical summation. In response to the widespread use of the first edition as a reference book, the bibliography and index have also been expanded, and additional nontrivial improvements can be found on almost every page. Readers will appreciate the informal style of Concrete Mathematics. Particularly enjoyable are the marginal graffiti contributed by students who have taken courses based on this material. The authors want to convey not only the importance of the techniques presented, but some of the fun in learning and using them. 0201558025B04062001 |
Teaching Mathematics in the Secondary School II
This is the second of a two-quarter sequence for prospective middle and high school teachers in the Teacher Preparation program at the College of Education. Mathematics is a subject that is notoriously difficult for many people. At the same time, success in mathematics is critical for students' future educational opportunities. The goal of this course is to help you learn to teach mathematics in a way that makes the content both accessible and rigorous.
This course is intended to help you:
(1) Understand how students learn mathematics and relate that understanding to your instruction and class activities;
and
(2) Develop the skills and resources necessary to plan effective, standards-based math lessons Ilana Seidel Horn
Date: 01/03/2006
Office of the Registrar
For problems and questions about this web page contact icd@u.washington.edu,
otherwise contact the instructor or department directly.
Modified:March 12, 2014 |
IMathAS (Internet Mathematics Assessment System)
is a Web-based math testing and homework system.
It is a light course/learning management system
and testing system, similar to and inspired by
WebWork and WIMS, and similar to textbook-bundled
systems like iLrn and MathXL. It requires a
browser with MathML and SVG support such as
Firefox 1.5 or IE6 with plugins. |
Introductory and Intermediate Algebra - 4th edition
Summary: The Bittinger Series changed the face of developmental education with the introduction of objective-based worktexts that presented math one concept at a time. This approach allowed students to understand the rationale behind each concept before practicing the associated skills and then moving on to the next topic. With this revision, Marv Bittinger continues to focus on building success through conceptual understanding, while also supporting students with quality applications, exerci...show moreses, and new review and study materials to help them apply and retain their knowledge133763167 +$3.99 s/h
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$45.39 |
Numerical reasoning and data interpretation tests are routinely used in recruitment procedures. These tests represent a considerable challenge for many candidates, and the prospect of facing them can be daunting. Designed to help anyone lacking in practice or confidence, "How to Pass Numerical Reasoning Tests" will prove an invaluable resource for those who need to brush up on their maths skills. An overview of the basics is followed by a step-by-step guide to numerical tests including fractions and decimals, rates, percentages and ratios and proportions. Now including a brand new chapter on word problems to help you with your analytical skills, this second edition of the best-selling book is the only numerical reasoning resource that focuses specifically on the core areas of numeracy. Packed with useful tips and worked examples, "How to Pass Numerical Reasoning Tests" will help you understand and answer the questions without using a calculator, and increase your confidence to take that test. |
1563670887 / ISBN-13: 9781563670886
Mathematics for Retail Buying
The top-selling introductory retailing textbook/workbook, through four highly successful editions, has been revised. This popular classic text meets ...Show synopsisThe top-selling introductory retailing textbook/workbook, through four highly successful editions, has been revised. This popular classic text meets the needs of students who will be directly or indirectly involved in the activities of merchandising and buying at the retail level. Tepper continues to delineate the essential concepts, practices, procedures, calculations, and interpretations of figures that relate to the many factors that produce profit. She also describes the place of computers in retailing, updates MOR figures, and adds case studies. Clear instructions, multiple practice problems, and current terminology and data make this the best retail buying math book available. New to This edition: -- A chapter describing the impact of computer technology on the growth of retailing, the cardinal principles of successful merchandising, the role of computers in retailing, the functions of buying, the circular nature of the merchandising process, and the responsibilities of the buyer -- Provides a "road map" of the mathematical factors in the text -- Numerous work and practice problems test the understanding of fundamental principles -- Three-hole punched text pages allow students to interweave review problem answers with the text statement of the review problems -- Additional case studies utilizing practical retailing situations and difficulties in real-life merchandising -- Selected answers at the back of the book Please contact us if you have any Questions. Item is clean and free from answers, writing, |
Modern Geometry / With CD - 02 edition
Summary: Modern Geometry was written to provide undergraduate and graduate level mathematics education students with an introduction to both Euclidean and non-Euclidean geometries, appropriate to their needs as future junior and senior high school mathematics teachers. Modern Geometryprovides a systematic survey of Euclidean, hyperbolic, transformation, fractal, and projective geometries. This approach is consistent with the recommendations of the National Council of Teachers...show more of Mathematics (NCTM), the International Society for Technology in Education (ISTE), and other professional organizations active in the preparation and continuing professional development of K-12 mathematics teachers. ...show less
The Concept of Parallelism. Points, Lines, and Curves in Poincare's Disc Model. Polygons in Hyperbolic Space. Congruence in Hyperbolic Space.
4. TRANSFORMATION GEOMETRY.
An Analytic Model of the Euclidean Plane. Representing Linear Transformations in 2-space with Matrices. The Direct Isometries: Translations and Rotations. Indirect Isometries: Reflections. Composition and Analysis of Transformations. Other Linear Transformations.
5. FRACTAL GEOMETRY.
Introduction to Self-similarity. Fractal Dimension. Iterated Function Systems. From Order to Chaos. The Mandelbrot SetGood
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2001-09-04 Hardcover Very Good EXCELLENT EX/LIBRARY HB COPY WITH CLEAN, CRISP PAGES AND TIGHT BINDING. INCLUDES CD-ROM. PICTORIAL COVER, NO DUST JACKET AS ISSUED. BOOK SHOWS LIGHT EDGE/CORNER WEAR ...show moreAND FAINT COVER RUBBINGS. CD-ROM HAS A SMALL AMOUNT OF LIGHT SURFACE SCRATCHES THAT DO NOT AFFECT THE QUALITY. SOME LIBRARY MARKINGS. ALL OF OUR ITEMS ARE GUARANTEED. WE SHIP DAILY WITH TRACKING |
Elementary Geometry for College Students
9781439047903
ISBN:
1439047901
Edition: 5 Pub Date: 2010 Publisher: Brooks Cole
Summary: If you want to rent Elementary Geometry for College Students online, we can help you. This text book, written by Daniel C Alexander and Geralyn M Koeberlein, was published by Brooks Cole in 2010. Now you can get cheap Elementary Geometry for College Students here in its 5th edition for an affordable price. We specialize in providing great deals that are heavily discounted for previously owned copies. You can buy Elem...entary Geometry for College Students online here for a price far lower than you might think, and sell back later on too. We provide the whole deal for every college student.
Alexander, Daniel C. is the author of Elementary Geometry for College Students, published 2010 under ISBN 9781439047903 and 1439047901. Three hundred eighty four Elementary Geometry for College Students textbooks are available for sale on ValoreBooks.com, one hundred thirteen used from the cheapest price of $132.63, or buy new starting at $153Dayton, OHShipping:StandardComments: 1439047901 Choose Expedited Shipping for fastest delivery! Used Texts May Have Used Book Sticker... [more] 1439047903-4-0-3 Orders ship the same or next business day. Expedited shipping within U.S. [more]
May include moderately worn cover, writing, markings or slight discoloration. SKU:9781439047903The primary subject of this book was getting across the basics of geometry. I found this book very effective because it gave you review and test questions/answers which was very helpful when preparing for a test. Most of the time teachers will use problems from here for quizzes or test so practicing these problems is crucial. The examples in each chapter are very helpful as well because they give a break down of each problem.
If I could change one thing about this book it would be to provide all the answers for every other problem. Sometimes in certain chapters, answers to the odd problems would be missing. But other than that this book was very helpful in helping me pass with an A this semester! |
Publisher's Description
It's All Connected focuses on the power of representation to build algebraic reasoning, offering a collection of 40 quick lessons (each takes less than thirty minutes). The lessons feature: creative exercises that illustrate key concepts associated with the graphical representation of functions; reproducible pages on which students can record their work (provided within the resource and downloadable online at correlations to the Common Core State Standards; teaching insights, and more.
Author Bio
Frances Van Dyke is an Associate Professor at American University in Washington, DC, where she teaches courses in mathematics and mathematics education. She was also an associate professor at Central Connecticut State University where she taught for ten years. Franny completed her undergraduate degree at Vassar College, A Master of Arts in Teaching: Mathematics, at the University of Chicago, and her doctorate degree in Mathematics from the University of Illinois at Chicago. She is the author of A Visual Approach to Algebra (Dale Seymore, 1998) and A Visual Approach to Functions (Key Curriculum Press, 2002 |
Curriculum Overview And Sample Lessons 11th Grade Math Applied BusinessMath This course presents fundamental mathematics in the context of business and consumer applications to help provide a strong link between math skills and business applications. each chapter includes activities designed to help students develop a personal collection … Access Document
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Mountain View College 4849 W. Illinois Ave. MATH 1324-6422(9002) OnlineBusinessMath Most students in an onlinecourse do not come to campus. However, all students are welcome to come to Mountain View College and make use of the Learning Skill Center in W170. No Food or Drink is … Read More
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Brought to you by the Association for Women
in Mathematics with support from the Exxon Education Foundation.
Foreword What is
Mathematics?
Mathematics Creates
Opportunities
Mathematics is a powerful tool for solving
practical problems and a highly creative field of study, combining logic and
precision with intuition and imagination. The basic goal of mathematics is to
reveal and explain patterns---whether the pattern appears as electrical
impulses in an animal's nervous system, as fluctuations in stock market prices,
or as fine detail of an abstract geometric figure.
This may not sound like the mathematics you're used
to. Mathematics can seem to concern only numbers and rules for calculating with
them, but in fact it is much more. If you continue to study mathematics, you
will discover the creative side of the subject and see how it can be used to
solve important problems. And you will find that studying mathematics can lead
to a rewarding, well-paying career.
With today's powerful computers, mathematics is
being used in science and engineering in unprecedented ways: to plan the path
of a robot arm, to model oil reservoirs under the surface of the earth, to make
and break secret codes. Mathematicians often work side by side with non-
mathematicians, helping them to formulate and solve mathematical problems.
Mathematicians also work on abstract problems
independent of any practical application---they create new mathematics, build
new mathematical structures, unravel new mathematical patterns. Because it
grows out of internal motivations to create, this aspect of mathematics is
often likened to art. However, even mathematical research developed without
reference to real-world problems often ends up being extremely useful in
practical situations.
Teaching, whether at the school or college level,
is an important activity in the careers of many mathematicians. Today, there is
an increasing need for educators with excellent training in mathematics. As
national leaders call for sweeping reforms in the way mathematics is taught,
this is an exciting and challenging time to enter the mathematics education
profession.
You may have already formulated opinions about what
mathematics and mathematicians are like. This booklet will give you the
opportunity to meet some real mathematicians and to read about the work they
do. See if you can picture yourself with a career in the mathematical
sciences! |
Modular forms are tremendously important in various areas of mathematics, from number theory and algebraic geometry to combinatorics and lattices. Their Fourier coefficients, with Ramanujan's tau-function as...
$ 71.79
Discrete geometry is a relatively new development in pure mathematics, while computational geometry is an emerging area in applications-driven computer science. Their intermingling has yielded exciting advances...
$ 66.49
Through Euclid's Window Leonard Mlodinow brilliantly and delightfully leads us on a journey through five revolutions in geometry, from the Greek concept of parallel lines to the latest notions of hyperspace....
$ 285.79
Algebraic topology (also known as homotopy theory) is a flourishing branch of modern mathematics. It is very much an international subject and this is reflected in the background of the 36 leading experts who...
$ 294.99
In this book, the general theory of submanifolds in a multidimensional projective space is constructed. The topics dealt with include osculating spaces and fundamental forms of different orders, asymptotic and...
$ 68.49
egghead's Guide to Geometry will help students improve their understanding of the fundamental concepts of geometry. With the help of Peterson's new character, egghead, students can strengthen their math skills...
$ 9.99
Requiring no more than a knowledge of high school mathematics and written in clear and accessible language, this book will give all readers a new insight into some of the most enjoyable and fascinating aspects...
$ 9.79
The basic goals of the book are: (i) to introduce the subject to those interested in discovering it, (ii) to coherently present a number of basic techniques and results, currently used in the subject, to those...
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What exactly is the Golden Ratio? How was it discovered? Where is it found? These questions and more are thoroughly explained in this engaging tour of one of mathematics' most interesting phenomena. Veteran...
$ 9In the last throes of the 14th century, Islamic Spain is under pressure from Castile and Aragon. Ara, the twelve-year old daughter to the Sultan, finds herself in the center of a political intrigue when her...
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This is a comprehensive exposition of topics covered by the American Mathematical Society's classification "Global Analysis", dealing with modern developments in calculus expressed using abstract terminology....
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Geometry defines the world around us, helping us make sense of everything from architecture to military science to fashion. And for over two thousand years, geometry has been equated with Euclid's Elements...
$ 17.49
Geometric measure theory has become increasingly essential to geometry as well as numerous and varied physical applications. The third edition of this leading text/reference introduces the theory, the framework...
$ 8.79
Spherical trigonometry was at the heart of astronomy and ocean-going navigation for two millennia. The discipline was a mainstay of mathematics education for centuries, and it was a standard subject in high... |
Video tutorials to help researchers, clinicians, and patient advocates learn about mathematical thinking at the interface between the physical sciences and biology, released under a Creative Commons Attribution-Share Alike license.
"Excellent site for both basic and advanced lessons on applying mathematics to biology" — Tweeted by the National Cancer Institute Office of Physical Sciences-Oncology [1]
Overview
In 2009, the National Cancer Institute began funding the Physical Sciences-Oncology Network to bring physical scientists and biologists together to look at cancer in new ways [2]. To fully realize the potential benefit of this network, investigators must accomplish more than simply continuing the development of measurement technologies. Moore et al. have commented that previous "contributions [i.e. x-rays, PET, and MRI] leverage the technology development aspect from the physical sciences . . . but not other important aspects like methodology, practices and thought processes. What is different about the NCI's PS-OC Program is the conviction that unique physical sciences and engineering approaches and principles can be integrated . . . in cancer research to yield a more fundamental understanding of the disease" [3].
One of these physical sciences "thought processes" is quantitative reasoning. Resources for developing this skill currently include introductory courses in quantitative biology. For example, Los Alamos National Laboratories hosts the invaluable q-Bio summer school [4]. However, mathematical prerequisites for these courses remain a difficulty for investigators trained in many life sciences fields.
A mathematical way to think about biology was developed to help address this challenge. The website is a collection of video tutorials to help biologists, clinicians, and patient advocates prepare for courses in quantitative biology [5]. The purpose of these videos is to provide familiarity with introductory topics often presented in quantitative biology courses and confidence to actively learn the more sophisticated concepts that are developed from these foundations.
To ensure broadest delivery of this resource, the slides and videos are made available under a CC BY-SA license.
The videos are produced by David Liao, a physicist (PhD, Princeton) in the Physical Sciences-Oncology Network.
License Usage
The slide decks and video tutorials are individually released under a Creative Commons Attribution-Share Alike license.
Motivations
Current open access initiatives require journal articles to be accessible free of charge after an embargo period. These mandates achieve "technical" openness. Achieving a more practical openness, however, requires more than uploading a record of research reports to a public repository of overwhelming walls of text and figures. The know-how to peruse scientific literature with ease must also be broadly distributed. It is preferable to release both software and underlying system libraries under GPL. Speaking loosely along the same lines of sentiment, it is likewise preferable to release, as free cultural works, both scientific literature and the instructional materials by virtue of which that literature becomes readable. Releasing the video tutorials under a CC BY-SA license communicates that the mathematical know-how described in these videos is a public good.
Impact of the Creative Commons
One of the videos in the series derives significantly from a research journal article. The author wanted to ask the journal under what licenses he could release the video. A decade ago, this would have required a long email explaining copyleft. Owing to educational outreach by the Creative Commons (and allied efforts by the Free Software Foundation, Wikipedia, and the Public Library of Science), awareness of free culture principles has greatly increased. This made it easy to refer to different licenses according to their abbreviated CC names during discussion with the journal (the journal granted permission to release the video under CC BY-SA). |
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Mathematics
Over 230 academic and research journals covering a broad range of subject areas, two-thirds of which are published in collaboration with learned societies and other international organizations. Includes medicine, life science, math, humanities and social science journals. Oxford Journals is a division of Oxford University Press, the world's oldest and largest university press |
Beginning Algebra
9780321769527
ISBN:
032176952X
Edition: 8 Pub Date: 2011 Publisher: Prentice Hall PTR
Summary: Tobey, John Jr, Jr. is the author of Beginning Algebra, published 2011 under ISBN 9780321769527 and 032176952X. Six hundred thirty seven Beginning Algebra textbooks are available for sale on ValoreBooks.com, one hundred eighty used from the cheapest price of $57.75, or buy new starting at $178.20 Used - Good Textbook only! Annotated Instructor's Edition. 8th Edition May contain highlighting/underlining/notes/etc. May have used stickers on cover. Ships same or next day. [more]
ALTERNATE EDITION: Used - Good Textbook only! Annotated Instructor's Edition shipping within U.S. will arrive in 3-5 days. Hassle free 14 day return policy. Contact Customer Service for questions.[less]
the primary subject of this book is math. The book is effective. It helped me to not only go over what I already knew and review it but also take my time to understand what I didn't know or already forgot.
The most interesting thing I learned in this book was shortcuts with fractions. I am one of many people who does not like fractions. This book has ways to simplify those fractions which makes it easier to do them.
I didn't really find anything in this book to be not helpful. I like that it has an online part to compete homework, and to help explain different parts of algebra problems so you would understand better
I think this book is closely related to other algebra books I've had to use, mostly in high school. |
Customer Reviews for McGraw-Hill Key to Decimals, Book #3
Key to Decimals begins with basic concepts and operations on decimals, allowing it be used for simple review, a non-threatening introduction, or as a supplement for struggling students. It covers real-world uses of decimals in pricing, sports, metrics, calculators and science. Written with secondary students in mind, their success-oriented, self-paced, self-guided approach builds confidence and independence. Book Three covers multiplication and division, remainders, place value, word problems and more. 45 pages, paperback. Notes and answer key sold separately (stock # 33087).
Customer Reviews for Key to Decimals, Book #3
This product has not yet been reviewed. Click here to continue to the product details page. |
Book Description: A flexible program with the solid content students needGlencoe Algebra 1 strengthens student understanding and provides the tools students need to succeed—from the first day your students begin to learn the vocabulary of algebra until the day they take final exams and standardized tests |
You bring up a very important point: our algebraic
> notation is very elegant and flexible, allowing us to use it in a
> wide variety of contexts. The accompanying risk is that we may gloss
> over subtle differences in a way that leaves students confused.
> On this subject I highly recommend a chapter in NCTM's Research
> Companion to Principles and Standards for School Mathematics. The
> chapter, by Daniel Chazan and Michal Yerushalmy, is entitled "On the
> Cognitive Complexity of School Algebra: Research on Algebra Learning
> and Directions of Curricular Change."
Interesting. I didn't have access to Dan's chapter but I did I find a reference
to it in this good article about this issue "What Do Students Struggle with When
First Introduced to Algebra Symbols? " at: |
9780321588104 tutorial CD-ROM provides algorithmically generated practice exercises that are correlated at the objective level to the exercises in the textbook. Every practice exercise is accompanied by an example and a guided solution designed to involve students in the solution process. Selected exercises may also include a video clip to help students visualize concepts. The software provides helpful feedback for incorrect answers and can generate printed summaries of students' progress. |
College Algebra with Modeling and Visualization
Today's algebra students want to know the "why" behind what they are learning and it is this that motivates them to succeed in the course. By ...Show synopsisToday's algebra students want to know the "why" behind what they are learning and it is this that motivates them to succeed in the course. By focusing on algebra in a real-world context, Gary Rockswold gracefully and succinctly answers this need. As many topics taught in today's college algebra course aren't as crucial to students as they once were, Gary has developed this streamlined text, covering linear, quadratic, nonlinear, exponential, and logarithmic functions and systems of equations and inequalities, to get to the heart of what students need from this course. By answering the "why" and streamlining the "how," Rockswold has created a text to serve today's students and help them to truly succeed.Hide synopsis
Description:***NOTICE! ! ! This book is a Brand New Annotated Instructor...***NOTICE! ! ! This book is a Brand New Annotated Instructor Edition (same content as the student edition, may have extra answers or tips). |
College Algebra and Trigonometry - 6th edition
Summary: Accessible to students and flexible for instructors, College Algebra and Trigonometry, Sixth Edition, uses the dynamic link between concepts and applications to bring mathematics to life. By incorporating interactive learning techniques, the Aufmann team helps students to better understand concepts, work independently, and obtain greater mathematical fluency. The text also includes technology features to accommodate courses that allow the option of using graphing calcul...show more Prepare for This Section exercises, formerly Prepare for the Next Section, have been moved from the end of each chapter to the beginning of each chapter and afford students the opportunity to test their understanding of prerequisite skills about to be covered.
New! Cal3.1 The Remainder of Theorem and the Factor Theorem 3.2 Polynomial Functions of Higher Degree 3.3 Zeros of Polynomial Functions 3.4 The Fundamental Theorem of Algebra 3.5 Graphs of Rational Functions and Their Applications
9.1 Systems of Linear Equations in Two Variables 9.2 Systems of Linear Equations in More than Two Variables 9.3 Nonlinear Systems of Equations 9.4 Partial Fractions 9.5 Inequalities in Two Variables and Systems of Inequalities 9.6 Linear Programming25150 Cover worn but text is still usable. Minor water damage. ISBN|0618825150, College Algebra and Trigonometry (C.) 2007 (MAD) WQ
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Balkanika Online WA Woodinville, WA
Hardcover New 0618825150 New book with very minor shelf wear. STUDENT US EDITION. Never used. Nice gift. Best buy. Shipped promptly and packaged carefully.
$230 |
Find a Kemah StatisticsThese subjects use the same notations as do algebra, so once you master them you can move forward into more advanced topics. Algebra is not necessarily easy, but it is completely logical. There is nothing you learn early that will be contradicted by later lessons. |
Commonly used by plant community ecologists, Fuzzy Set Ordination (FSO) is a technique for "find[ing] associations between site factors and species distributions." Richard Boyce, Assistant Professor of Biological...
Presented by HippoCampus, a project of the Monterey Institute for Technology and Education, this free online course "develops algebraic fluency by providing students with the skills needed to solve equations and perform...
This web page, authored and curated by David P. Stern, introduces vectors as an extension of numbers having both magnitude and direction. The initial motivation is to describe velocity but the material includes a...
Exercises posted on this web site offer an opportunity for students to evaluate how much they have retained in various subjects of Algebra. Topics covered include geometry, functions, vectors, and statistics. There are...
Created for the Connected Curriculum Project, the purpose of this module is to learn the basics of Mathematica for use in a linear algebra course. This is one resource within a larger set of learning modules hosted by... |
A Mathematical Way To Think About Biology
by David Liao, this site offers a way for scientists, educators and others to investigate biological systems using a physical sciences perspective. On the site, visitors will find video tutorials, classroom fact sheets, and a set of helpful illustrations. First up, is the section dedicated to providing resources for folks interested in pre-algebra, algebra, geometry and pre-calculus. Here they can find slides, videos, and resources dedicated to edifying people about variables, polynomials, and combinatorics. Moving on, the site also offers the same resources for subjects that include linear algebra, evolutionary game theory, and more. Given the weighty nature of the materials, the site is rounded out by a Digest for Busy People section that offers some concise meditations on the merger between mathematics and biology.Tue, 14 Jan 2014 10:19:15Get the Math
does math get used in the "real world?" The short answer is that it is used to create hip-hop music, in fashion design, and through a number of other endeavors. This interactive website combines video and web interactive to help young people develop algebraic thinking skills for solving real-world problems. The series is funded by The Moody's Foundation, along with assistance from WNET and American Public Television. The sections of the site include The Challenges, Video, and Teachers. In The Challenges area, users will find video segments profiling the various young professionals who use math in their work, along with interactive tools to help students solve the challenges they are presented with. Moving on, the Teachers area includes resources for teachers, such as a training video showing how to use project materials in the classroom, along with student handouts. Visitors shouldn't miss the Basketball challenge, featuring NBA player Elton Brand talking about the problems presented by free throw shooting.Wed, 27 Jun 2012 10:54:56 -0500Mathematics Course
document from SpaceTEC National Aerospace Technical Education Center presents a core readiness course which will serve to prepare individuals entering the aerospace field. The document is 55 pages and contains materials on both basic and advanced math topics such as whole numbers, fractions, decimals, roots, computing area, measurement systems, and functions of numbers.Mon, 18 Jul 2011 11:33:50 -0500Algebra
series of videos, created by Salman Khan of the Khan Academy, features topics covered from very basic algebra all the way through algebra II. This is the best algebra playlist to start at if you've never seen algebra before. Once you get your feet wet, you may want to try some of the videos in the "Algebra I Worked Examples" playlist.Mon, 3 Jan 2011 03:00:03 -0600MAA Online: Classroom Capsules and Notes
Mathematical Association of America (MAA) provides a range of high-quality educational resources for educators all across the United States and the world. Recently, they completed digitizing over 114 years of their short classroom materials, and they are now available right here. On the homepage, visitors can look over "Featured Items" to get started, and then they can type in keywords to look for specific items. Recently featured items have included "Proof without Words: Geometric Series", "Museum Exhibits for the Conics", and "The Birthday Problem Revisited". Visitors should also check out the "Tips on Searching" area to help out with their exploration of this archive. Educators will find that the site is worthy of several visits, and this material can be used to illuminate a wide range of mathematical topics and concepts.Fri, 19 Nov 2010 13:33:24 -06002010 Found Math Gallery
good folks at the Mathematical Association of America (MAA) are always on the lookout for mathematical principles in the least likely of places, and this gallery of "found math" is a tribute to their perspicacity. The exhibition includes prizewinners from the Joint Mathematics Meetings Exhibition of Mathematical Art and a weekly "found math" object. Visitors can make their way through items like simplex lamp shades over a bar in Venice and a butterfly in South American that appears to have an "88" on its wing. A number of the objects have more extensive explanations of their various mathematical nuances, and a few of the more recent additions lead to posters that can be downloaded for use in the classroom.Fri, 9 Apr 2010 13:04:42 -0500Vector Field Diagram and Field Line Applet
Java applet was designed to enhance understanding of electric field lines. By "drawing" lines from simulated charges on a color-coded field, the learner can explore vector field diagrams and form concepts about strength/direction of field lines. Sign and ratio of charge can be changed. This activity is appropriate for introductory and algebra-based physics classes. It is part of a larger collection of NSF-funded physics animations and simulations for use in the interactive classroom.Fri, 18 Dec 2009 03:00:01 -0600NASA's Imagine the Universe: Black Holes
NASA site provides an introduction to black holes, including how black holes form and how they can be detected. Numerous links provide additional information. The site also contains a fun multiple-choice quiz, cool facts, activities, and frequently asked questions.Tue, 23 Jun 2009 03:00:01 -0500English and Mathematics
website provides a syllabus for a course that uses "writing to reinforce the learning and understanding of mathematical concepts, while also using mathematics and statistics as a topic for the essays." Students gain experience in both English and Math skills as well as developing critical thinking, written and oral communication, quantitative skills, and group interaction skills. Instructors can use the syllabus, assignments, and other activities as inspiration in their own lectures or course designs. In addition, students of all levels will find the provided instructive material helpful as they attempt to write about mathematical concepts at the college level.Mon, 7 Apr 2008 03:00:02 -0500Byzantine Basketball
problem (with solution) sent by Prof. W. McWorter's: Byzantine Basketball is like regular basketball except that foul shots are worth a points instead of two points and field shots are worth b points instead of three points. Moreover, in Byzantine Basketball there are exactly 35 scores that never occur in a game, one of which is 58. What are a and b?Fri, 30 Nov 2007 03:00:02 -0600Understanding Algebra
Algebra is a textbook written by James Brennan of Boise State University. The entire contents of the textbook are located on this site, and a PDF version is also available through the author's Website. Basic topics in algebra are covered in the nine chapters of this book, and examples are dispersed throughout those chapters to facilitate a greater understanding of the concepts. This textbook presents the foundational elements of algebra in a clear, thoughtful manner that everyone will be able to appreciate. Students in introductory algebra courses, or those looking to review basic concepts for a higher-level math course will find this resource extremely useful.Mon, 12 Nov 2007 03:00:03 -0600Practical Algebra Lessons
to you by Elizabeth Stapel and purplemath.com, this collection of learning modules contains over 100 mathematics modules designed to teach beginning, intermediate, and advanced algebra concepts. Some algebra topics include graphic linear equations; adding, subtracting, multiplying, and dividing polynomials; and solving linear and literal equations. Intermediate algebra topics include domain and range, even and odd functions, factor theorem, and solving systems of non-linear equations. Finally, advanced algebra topics include complex fractions, complex numbers, matrix addition and subtraction, and partial fraction decomposition. This is a great reference and teaching resource for teachers and students of introductory algebra courses. This is an especially good resource for teachers looking for in-class illustrations of fundamental algebra concepts.Fri, 19 Oct 2007 03:00:01 -0500 |
Introduction To Number Theory
3+2 hrs/week, Theory, 4 credits, ECTS 6
Objective:
This course aims to teach some fundamental proof techniques to first year math students through number theory. As students learn new techniques, they will be asked to prove simple statments, and also they will learn how to refute false statments in mathematics. Meanwhile, they will come across with fundamental concepts of elementary number theory.
Contents of this course is divisibility, gcd, lcm, Euclidean Algorithm, prime numbers, Fundamental Theorem of Arithmetic, congruences, Chinese Remainder Theorem, Fermat's Little Theorem and Wilson Theorem. If time permits, the Golden Ratio and the Fibonacci numbers can be covered also. |
SATURDAY, JANUARY 11, 2013
8:30 – 11:30 a.m.
Why Come to Math Boot Camp?
Has working with math always made you a little nervous? Maybe it's been quite some time since you've worked with math or you hardly ever use it? Perhaps you've held off on finishing your degree just because you knew that you would need to take more math? If any of this sounds familiar, then UW-Green Bay's "Math Boot Camp" might be for you!
This non-credit seminar is a short but thorough review of basic skills and will prepare you for placement testing and for coursework. The booklet that you'll receive at Boot Camp will focus on the four operations of adding, subtracting, multiplying, and dividing fractions and decimals, and will explore the derived relationships and connections to the concept of percentages. It is a painless and informative refresher class that you will find useful and beneficial.
There are no quizzes, no tests, no pressure – just a morning of processing and confirming information that you will need in order to make you more comfortable in conquering math.
Seating is limited, so register early!
Meet Your Instructor – Bonnie Denis!
Bonnie Denis has been teaching Mathematics as an adjunct instructor at UW-Green Bay for 35 years through the Adult Degree Program. Bonnie's professional background includes a Bachelor's Degree in Mathematics from UW-Green Bay and a Master's Degree in Education from Lakeland College. Bonnie has taught math at the high school and college level, including at Green Bay East, Lakeland College and Bellin College. All of the courses taught by Bonnie are at some level of Algebra and she teaches both in the classroom as well as online. Finally, if you will need to take Math 94, Elementary Algebra, at UW-Green Bay, Bonnie just might be your instructor, so come meet her. Bonnie is very passionate about teaching and loves to see her students succeed! |
An understanding of algebra is a foundational skill to virtually all topics in higher-level mathematics, and it is useful in science, statistics, accounting, and numerous other professional and academic areas.
1. Describe basic operations or numbers and signs.
2. Solve simple to complex fraction problems.
3 |
Studying Math: Pathways to Success
Celebrated by teachers, renowned among students, this classic text on conquering frustration and achieving success with math is now available in a new and expanded paperback edition. Learn what thousands of students have already learned as Professors Smith and Smith share with you their combined thirty years of experience helping students of all types succeed at their educational goals:
Discover the social and educational roots of math anxiety.
Learn to understand the commonly believed myths about math that can block your success.
Find out how to disarm the frustration that can make the study of math so difficult.
Demystify the college math curriculum, and discover which math classes will best help you achieve your particular educational goals.
The new edition includes student activities for each chapter, suitable for in-class and group work and for self-study. It also includes an expanded chapter on the college math curriculum to answer students' often unexpressed questions about the types and purposes of the math classes available to them. An Instructor's Guide is available electronically on request.
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The Platonic Realms Guarantee
If you are dissatisfied with your purchase—for any reason—you may return it for a full refund. |
More About
This Textbook
Overview
Describing many of the most important aspects of Lie group theory, this book presents the subject in a 'hands on' way. Rather than concentrating on theorems and proofs, the book shows the applications of the material to physical sciences and applied mathematics. Many examples of Lie groups and Lie algebras are given throughout the text. The relation between Lie group theory and algorithms for solving ordinary differential equations is presented and shown to be analogous to the relation between Galois groups and algorithms for solving polynomial equations. Other chapters are devoted to differential geometry, relativity, electrodynamics, and the hydrogen atom. Problems are given at the end of each chapter so readers can monitor their understanding of the materials. This is a fascinating introduction to Lie groups for graduate and undergraduate students in physics, mathematics and electrical engineering, as well as researchers in these fields.
What People Are SayingEditorial ReviewsRelated Subjects
Meet the Author
Robert Gilmore is a Professor in the Department of Physics at Drexel University, Philadelphia. He is a Fellow of the American Physical Society, and a Member of the Standing Committee for the International Colloquium on Group Theoretical Methods in Physics. His research areas include group theory, catastrophe theory, atomic and nuclear physics, singularity theory, and chaos |
Trigonometry Success In 20 Minutes a Day
Book Description: This newest addition to the bestselling Skill Builders series, Trigonometry Success in 20 Minutes a Day helps students quickly and painlessly acquire practical skills in trigonometry through a series of simple, 20-step lesson plans. All key trigonometry topics are covered - from Pythagorean Theorem, the unit circle, and vectors to laws of sines and cosines, compound problems, and the Heron's Formula. Set up so that users can study the entire book or create a customized individual study plan, the book contains hundreds of practice exercises, without abstruse theorizing or jargon, that provide essential practice in solving trigonometry problems |
Presented by HippoCampus, a project of the Monterey Institute for Technology and Education, this free online course "is a study of the basic skills and concepts of elementary algebra, including language and operations...
Created by David Smith for the Connected Curriculum Project, the purpose of this module is to explore the properties of orthogonal vectors and matrices. This is part of a larger collection of material hosted by Duke...
Created by Lewis Blake and David Smith of the Connected Curriculum Project, the purposes of this module are to experiment with matrix operations, especially multiplication, inversion, and determinants, and to explore...
This algebra lesson from Illuminations involves using linear equations and graphs in a real world context. Students will graph a line based on data points, find the equation of the line, identify y-intercept and slope,...
This algebra lesson from Illuminations helps students develop their understanding of mathematical functions and modeling using spreadsheets, graphing calculators, and computer graphing utilities. The differences between... |
Graphical Approach to College Algebra - 4th edition
Summary: This edition has evolved to address the needs of today's student. While maintaining its unique table of contents and functions-based approach, the text now includes additional components to build skill, address critical thinking, solve applications, and apply technology to support traditional algebraic solutions. It continues to incorporate an open design, helpful features, careful explanations of topics, and a comprehensive package of supplements and study aids to ...show moreprovide new and relevant opportunities for learning and teaching |
Student Life Skills
course, designed for Miami Dade Community College, integrates arithmetic and beginning algebra for the undergraduate student. By applying math to real-life situations most students experience during college, the instructors attempt to make math both fun and applicable. The instructors specifically wish to dissipate the anxiety many college students feel when approaching math at an advanced level. Students can use the information provided on this website to help apply mathematical concepts to their own lives, while instructors can use the assignments, syllabus, and lecture notes to create their own relevant assignments in a mathematics course.Mon, 5 May 2008 03:00:13 -0500Algebra Review in Ten Lessons
University of Akron has created these excellent algebra tutorials that review some of the main topics in the discipline. There are ten lessons, which focus on topics like radicals and exponents, basic algebra, expansion, polynomials, functions, and trig curves. Each lesson has a table of contents and interactive resources like quizzes, in-line examples, and exercises. Words that appear in green or brown are hyperlinks; click on them to learn more about that topic. Tutorials are viewed as a PDF file, and users must have Acrobat Reader 3.0 or greater to access them. This is a perfect resource for anyone who needs to refresh their knowledge of basic algebra concepts, and is also great for those who are just learning about the subject.Wed, 9 Apr 2008 03:00:02 -0500College Algebra Online Tutorials
introduction to this site remarks, "If you need help in college algebra, you have come to the right place." Their statement is accurate, as the staff members at the West Texas A&M University's Virtual Math Lab have done a fine job creating a series of online algebra tutorials for students and anyone else who might be returning to the world of algebra. First-time visitors should look at their online guide to the tutorials to learn how their tutorials are organized. After that, they should feel free to browse through any of the 59 tutorials offered here. Each tutorial contains information about learning objectives, full explanations, and numerous examples of how to correctly solve problems.Mon, 10 Dec 2007 03:00:01 -0600Practical Algebra Lessons
to you by Elizabeth Stapel and purplemath.com, this collection of learning modules contains over 100 mathematics modules designed to teach beginning, intermediate, and advanced algebra concepts. Some algebra topics include graphic linear equations; adding, subtracting, multiplying, and dividing polynomials; and solving linear and literal equations. Intermediate algebra topics include domain and range, even and odd functions, factor theorem, and solving systems of non-linear equations. Finally, advanced algebra topics include complex fractions, complex numbers, matrix addition and subtraction, and partial fraction decomposition. This is a great reference and teaching resource for teachers and students of introductory algebra courses. This is an especially good resource for teachers looking for in-class illustrations of fundamental algebra concepts.Fri, 19 Oct 2007 03:00:01 -0500algebasics
the motto, "Show me how, now!" algebasics is a fine online mathematics instructional resource that takes young and old alike through the basics of algebra. The breadth of the material is divided into sixteen sections, which begin with, appropriately, "the basics", and proceed all the way to a section on applying algebra to real-world situations. Each section asks users to solve a number of problems so that they will gain mastery of each concept. The interface deployed here is quite user-friendly, as each problem is narrated so that users will better understand the process needed to complete each problem successfully. Overall, it's a well-designed introduction to this area of the mathematical universe, and one that is very easy to use.Sun, 4 Feb 2007 03:00:05 -0600Algebra: In Simplest Terms
Annenberg Foundation has been an active part of creating educational and professional development tools and instructional aids for teachers for many years. To reach the broadest audience possible, their Annenberg Media website also contains many of their programs in their entirety. Math educators and aspiring students of algebra will be delighted to learn that their popular series "Algebra: In Simplest Terms" can be found on their site. All told, there are a total of 26 episodes in the series, and they deal with such topics as linear relations, the ellipse, rational functions, and geometric sequences. Narrated by Sol Garfunkel, the series uses practical examples as illustrations of various principles and axioms. It should be noted that to watch the videos, visitors will need to fill out a free online registration form.Tue, 16 Jan 2007 03:00:02 -0600 |
Intended Outcomes for the course
Outcome Assessment Strategies
Assessment shall include at least two of the following measures: ,1. Tests ,2. Attendance ,3. Portfolios ,4. Individual student conference
Course Content (Themes, Concepts, Issues and Skills)
Introductory Algebra I (MTH 60) ,THEMES: ,1. Algebra skills ,2. Graphical understanding ,3. Problem solving ,4. Effective communication ,5. Critical thinking ,6. Applications, formulas, and modeling ,7. Functions ,SKILLS: ,1.0 REAL NUMBERS ,1.1 Review prerequisite skills €" signed number and fraction arithmetic ,1.2 Simplify arithmetic expressions using the order of operations ,1.3 Evaluate powers with whole number exponents; emphasize order of operations with ,negative bases ,1.4 Simplify arithmetic expressions involving absolute values ,1.5 Order real numbers along a real number line ,1.6 Identify numbers as elements of the subsets of the real numbers ,2.0 VARIABLES AND EXPRESSIONS ,2.1 Simplify algebraic expressions ,2.2 Evaluate algebraic expressions ,2.3 Recognize equivalent expressions and non-equivalent expressions ,2.4 Distinguish between evaluating expressions, simplifying expressions and solving equations ,2.5 Translate from words into algebraic expressions and vice versa ,2.6 Apply the distributive, commutative, and associative properties ,2.7 Recognize additive and multiplicative identities and inverses ,2.8 Distinguish between factors and terms ,2.9 Apply the product rule, product to a power rule, and power-to-a-power rule to expressions ,with positive integer exponents emphasizing the logic behind these rules of exponents ,3.0 GEOMETRY APPLICATIONS ,3.1 Evaluate formulas and apply basic dimensional analysis ,3.2 Know and apply appropriate units for various situations; e.g. perimeter units, area units, ,volume units, rate units, etc ,3.3 Memorize and apply the perimeter and area formulas for rectangles, circles, and triangles ,3.4 Memorize and apply the volume formula for a rectangular solid and a right circular ,cylinder ,3.5 Find the perimeter of any polygon ,3.6 Evaluate other geometric formulas ,3.7 Use estimation to determine reasonableness of solution ,4.0 LINEAR EQUATIONS AND INEQUALITIES IN ONE VARIABLE ,4.1 Identify linear equations and inequalities in one variable ,4.2 Understand the definition of a solution; e.g. 2 is a solution to x < 5; 3 is the solution to x + ,1 4 ,4.3 Distinguish between solutions and solution sets ,4.4 Recognize equivalent equations and non-equivalent equations ,4.5 Solve linear equations and non-compound linear inequalities symbolically ,4.6 Express inequality solution sets graphically, with interval notation, and with set-builder ,notation ,4.7 Distinguish between solutions to equations and equivalent equations (e.g. €œThe solution is ,2.€ vs. €œx = 2€) ,5.0 GENERAL APPLICATIONS ,5.1 Create and solve linear equations and inequalities in one variable that model real life ,situations (e.g. fixed cost + variable cost equals total cost) ,5.1.1 Properly define variables; include units in variable definitions ,5.1.2 Apply dimensional analysis while solving problems ,5.1.3 State contextual conclusions using complete sentences ,5.1.4 Use estimation to determine reasonableness of solution ,5.2 Apply general percent equations (A = PB) ,5.3 Create and solve percent increase/decrease equations ,5.4 Create and solve ratio/proportion equations ,5.5 Solve applications in which two values are unknown but their total is known; for example, ,a 50 foot board cut into two pieces of unknown length ,6.0 LITERAL EQUATIONS AND FORMULAS ,6.1 Solve an equation for a specified variable in terms of other variables ,6.2 Input values into a formula and solve for the remaining variable ,7.0 INTRODUCTION TO TABLES AND GRAPHS ,7.1 Briefly review line graphs, bar graphs and pie charts ,7.2 Plot points on the Cartesian coordinate system; determine coordinates of points ,7.3 Classify points by quadrant or as points on an axis; identify the origin ,7.4 Label and scale axes on all graphs ,7.5 Interpret graphs in the context of an application ,7.6 Create a table of values from an equation ,7.7 Plot points from a table ,8.0 INTRODUCTION TO FUNCTION NOTATION ,8.1 Determine whether a given relation presented in graphical form represents a function ,8.2 Evaluate functions using function notation from a set, graph or formula ,8.3 Interpret function notation in a practical setting ,8.4 Identify ordered pairs from function notation ,9.0 LINEAR EQUATIONS IN TWO VARIABLES ,9.1 Identify a linear equation in two variables ,9.2 Emphasize that the graph of a line is a visual representation of the solution set to a linear ,equation ,9.3 Find ordered pairs that satisfy a linear equation written in standard or slope-intercept form ,including equations for horizontal and vertical lines; graph the line using the ordered pairs ,9.4 Find the intercepts given a linear equation; express the intercepts as ordered pairs ,9.5 Graph the line using intercepts and check with a third point ,9.6 Find the slope of a line from a graph and from two points ,9.7 Given the graph of a line identify the slope as positive, negative, zero, or undefined. Given ,two non-vertical lines, identify the line with greater slope ,9.8 Graph a line with a known point and slope ,9.9 Manipulate a linear equation into slope-intercept form; identify the slope and the verticalintercept ,given a linear equation and graph the line using the slope and vertical-intercept ,and check with a third point ,9.10 Recognize equations of horizontal and vertical lines and identify their slopes as zero or ,undefined ,9.11 Given the equation of two lines, classify them as parallel, perpendicular, or neither ,9.12 Find the equation of a line using slope-intercept form ,9.13 Find the equation of a line using point-slope form ,10.0 APPLICATIONS OF LINEAR EQUATIONS IN TWO VARIABLES ,10.1 Interpret intercepts and other points in the context of an application ,10.2 Write and interpret a slope as a rate of change ,10.3 Create and graph a linear model based on data and make predictions based upon the model ,10.4 Create tables and graphs that fully communicate the context of an application problem ,11.0 LINEAR INEQUALITIES IN TWO VARIABLES ,11.1 Identify a linear inequality in two variables ,11.2 Graph the solution set to a linear inequality in two variables ,11.3 Model application problems using an inequality in two variables |
additional excercises written to complement the "Edexcel GCSE mathematics" course textbooks. This Intermediate pack is targeted towards mainstream ability students, and includes two free copies of the answer book allowing students to self-test. |
9780030620645
ISBN:
0030620643
Edition: 5 Publisher: Saunders College Publishing
Summary: This classic best-seller by a well-known author introduces mathematics history to math and math education majors. Suggested essay topics and problem studies challenge students. CULTURAL CONNECTIONS sections explain the time and culture in which mathematics developed and evolved. Portraits of mathematicians and material on women in mathematics are of special interest.
Eves, Howard W. is the author of Introduc...tion to the History of Mathematics - Howard Whitley Eves - Hardcover - 5th ed, published under ISBN 9780030620645 and 0030620643. Sixteen Introduction to the History of Mathematics - Howard Whitley Eves - Hardcover - 5th ed textbooks are available for sale on ValoreBooks.com, eleven used from the cheapest price of $15.00, or buy new starting at $89.32.[read more]
5th Edn. Spivak CALCULUS, 1967, p521: Most textbooks on the history of mathematics are both superficial and dull. An admirable exception is... Evesall 593pp unmarked; baby blu [more]
5th Edn. Spivak CALCULUS, 1967, p521: Most textbooks on the history of mathematics are both superficial and dull. An admirable exception is... Evesall 593pp unmarked; baby blue covers with silver letters; Used Book in Good Condition [less]
Spivak CALCULUS, 1967, p521: Most textbooks on the history of mathematics are both superficial and dull. An admirable exception is...Evesall 593pp unmarked; baby blue covers w [more]
Spivak CALCULUS, 1967, p521: Most textbooks on the history of mathematics are both superficial and dull. An admirable exception is...Evesall 593pp unmarked; baby blue covers with silver letters; Used Book in Good Condition. [less]
ISBN-13:9780030620645
ISBN:0030620643
Edition:5th
Publisher:Saunders College Publishing
ValoreBooks.com has some of the lowest prices for cheap Introduction to the History of Mathematics - Howard Whitley Eves - Hardcover - 5th ed rentals, or used and new condition books that can be mailed to you in no time. |
MAT 180 Calculus & Analytic Geometry I
Perform the various algebraic and trigonometric computations encountered in calculus.
Demonstrate understanding of the concept of the limit of a function – from both a graphical perspective and an algebraic perspective – and the role of the limit concept in defining continuity.
Find derivatives by using the basic definition involving a limit.
Find derivatives of polynomial, rational, radical, and trigonometric functions, as well as composites of such functions, by using the power rule, the product rule, the quotient rule, the chain rule, and implicit differentiation, as appropriate.
Use both the prime notation and the Leibniz notation for derivatives.
Use first and second derivatives, together with algebraic analysis, to produce an accurate graph of a given function, identifying all asymptotes, symmetry, relative maximums and minimums, stationary and inflection points, and intervals on which the function is increasing, decreasing, concave up, and concave down.
Use derivatives to solve problems that involve related rates.
Use differentials, when appropriate, in problem-solving.
Evaluate definite integrals by using the basic definition involving the limit of a Riemann sum.
Evaluate integrals, using substitution where appropriate.
Use integration to solve simple differential equations.
Use integration to find areas of plane regions, lengths of plane curves, surface areas of solids of revolution, and volumes of such solids by disk, washer, and shell methods. |
Book Description: This best selling author team explains concepts simply and clearly, without glossing over difficult points. Problem solving and mathematical modeling are introduced early and reinforced throughout, so that when students finish the course, they have a solid foundation in the principles of mathematical thinking. This comprehensive, evenly paced book provides complete coverage of the function concept and integrates substantial graphing calculator materials that help students develop insight into mathematical ideas. The authors' attention to detail and clarity, as in James Stewart's market-leading Calculus text, is what makes this text the market leader |
Pre-calculus Demystified 2/E
Overview
Your step-by-step solution to mastering precalculus
Understanding precalculus often opens the door to learning more advanced and practical math subjects, and can also help satisfy college requisites. Precalculus Demystified, Second Edition, is your key to mastering this sometimes tricky subject.
This self-teaching guide presents general precalculus concepts first, so you'll ease into the basics. You'll gradually master functions, graphs of functions, logarithms, exponents, and more. As you progress, you'll also conquer topics such as absolute value, nonlinear inequalities, inverses, trigonometric functions, and conic sections. Clear, detailed examples make it easy to understand the material, and end-of-chapter quizzes and a final exam help reinforce key ideas.
Author Information
Rhonda Huettenmueller is the author of the best-selling book in the Demystified series, Algebra Demystified. Popular with students for her ability to make higher math understandable and even enjoyable, she incorporates many of her teaching techniques in this book. Ms. Huettenmueller has taught mathematics at the college level for almost 15 years. She received her Ph.D. in mathematics from the University of North Texas.
Customer Reviews
9780071778497
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Careers That CountMathematics is a powerful tool for solving
practical problems and a highly creative field of study, combining logic and
precision with intuition and imagination. The basic goal of mathematics is ...
Posted Jul 19, 2010, 11:04 PM by Glenna Buford
Be an ActuaryAs with any job or career, having the right
skills is essential to success. Learn what skills you should start to develop
in high school if you want to become ...
Posted Jul 19, 2010, 11:06 PM by Glenna Buford
What is Statistics?, American Statistical AssociationStatisticians are in high demand in a wide
variety of fields. As the largest professional association for statisticians in
the world, the ASA serves as the main clearinghouse for information ...
Posted Jul 19, 2010, 11:05 PM by Glenna Buford
SACNAS biography projectThese pages are designed as a resource for K-12
educators who are interested in teaching their students about the
accomplishments of Chicano/Latino and Native American scientists. Profiles of ...
Posted Jul 19, 2010, 11:06 PM by Glenna Buford
GRANTS AND FELLOWSHIPS AND APPLYING TO GRADUATE SCHOOL
Fannie and John Hertz FoundationA private foundation which provides fellowships tenable at three dozen of the nation's finest universities for graduate work leading to award of the Ph.D. degree in applications of ...
Posted Jul 19, 2010, 11:14 PM by Glenna Buford
Knowles Science Teaching FoundationKnowles Science Teaching Foundation offers
teaching fellowships to young men and women who have degrees in science or
mathematics and want to teach high school physics, chemistry or mathematics.
These ...
Posted Jul 19, 2010, 11:10 PM by Glenna Buford
Ask Dr. MathNeed homework help? Check out this site with help for students in elementary school through college and beyond.
Link:
Ask Dr. Math
Posted Jul 19, 2010, 11:19 PM by Glenna Buford
How to Be a Good Graduate StudentHow to Be a Good Graduate Student, Marie desJardins, 1994 - Another good online guide that should be required reading for both students and advisors.Link: How to Be a Good ...
Posted Jul 19, 2010, 11:17 PM by Glenna Buford
NAEP statisticsThe National Assessment of Educational Progress
(NAEP) is the largest nationally representative and continuing assessment of
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are ...
Posted Jul 19, 2010, 11:21 PM by Glenna Buford |
We know few details of al-Khwarizmi's life.
We know he worked at an academy where Greek philosophical and scientific works were translated. He and his colleagues also studied, and wrote on, algebra, geometry, and astronomy. Certainly al-Khwarizmi worked under the patronage of the Caliph.
His treatise on algebra, Hisab
al-jabr w'al-muqabala, was the most famous and important of all of al-Khwarizmi's works. It is the title of this text that gives us the word "algebra" and, in a
sense that we shall investigate more fully below, it is the first book to be written on algebra.
In al-Khwarizmi's own words, the purpose of the book is to teach:
what is easiest and most useful in arithmetic, such as men constantly require in cases of inheritance, legacies, partition, lawsuits, and
trade, and in all their dealings with one another, or where the measuring of lands, the digging of canals, geometrical computations, and
other objects of various sorts and kinds are concerned.
This does not sound like the contents of an algebra text, and indeed only the first part of the book is a discussion of what we would today recognize as
algebra. However it is important to realize that the book was intended to be highly practical, and that algebra was introduced to solve real life problems that were
part of everyday life in the Islam empire at that time.
After introducing the natural numbers, he discusses the solution of equations. His
equations are linear or quadratic and are composed of units (numbers), roots (x) and squares (x2). He first reduces an equation to one of 6 standard forms, using the operations of addition and subtraction, and then shows how to solve these standard types of equations. He uses both algebraic methods of solution and the geometric method of completing the square.
Al-Khwarizmi continues his study of algebra by examining how the laws of arithmetic extend to an arithmetic for his algebraic objects. For example he shows how to multiply out expressions such as (a + bx)(c + dx), although we should emphasize that al-Khwarizmi uses only words to describe his expressions, and no symbols are used.
The next part of al-Khwarizmi's Algebra consists of applications and worked examples. He then goes on to look at rules for finding the area of figures such
as the circle, and also finding the volume of solids such as the sphere, cone, and pyramid. This section on mensuration certainly has more in common with
Hindu and Hebrew texts than it does with any Greek work. The final part of the book deals with the complicated Islamic rules for inheritance, but require little
from the earlier algebra beyond solving linear equations.
Al-Khwarizmi's algebra is regarded as the foundation and cornerstone of the sciences. In a sense, al-Khwarizmi is more entitled to be called "the father of algebra" than Diophantus because al-Khwarizmi is the first to teach algebra in an elementary form and for its own sake, while Diophantus is primarily concerned with the theory of numbers.
Al-Khwarizmi also wrote a treatise on Hindu-Arabic numerals. The work describes the
Hindu place-value system of numerals based on 1, 2, 3, 4, 5, 6, 7, 8, 9, and 0. The first use of zero as a place holder in positional base notation was probably
due to al-Khwarizmi in this work.
He also wrote an important work on astronomy, covering calendars, calculating true positions of the sun, moon and planets, tables of sines and tangents, spherical astronomy, astrological tables, parallax and eclipse calculations, and visibility of the moon. Although his astronomical work is based on that of the Indians, and most of the values from which he constructed his tables came from Hindu astronomers, al-Khwarizmi must have been influenced by Ptolemy's work too.
Al-Khwarizmi wrote a major work on geography which give latitudes and longitudes for 2402 localities as a basis for a world map. The book, which is based
on Ptolemy's Geography, lists with latitudes and longitudes, cities, mountains, seas, islands, geographical regions, and rivers. The manuscript includes
maps which on the whole are more accurate than those of Ptolemy.
A number of minor works were written by al-Khwarizmi on topics such as the astrolabe, on which he wrote two works, on the sundial, and on the Jewish
calendar. He also wrote a political history containing horoscopes of prominent persons. |
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Starting at $0While using Intermediate Algebra, Second Edition, you will find that the text focuses on building competence and confidence. The authors present the concepts, show how to do the math, and explain the reasoning behind it in a language you can understand. The text ties concepts together using the Algebra Pyramid, which will help you see the big picture of algebra. The skills Carson presents through both the Learning Strategy boxes and the Study System, introduced in the Preface and incorporated throughout the text, will not only enhance your algebra experience but will also help you succeed in future college courses. Book jacket. |
General Study Skills
The best way to learn maths is to do maths! You donít learn to ride a bike by someone telling you how to do it. The same is true with Maths. Listening to a friend or lecturer explain a mathematical technique or idea can help but a truly deep understanding is only really achieved through practice, practice and more practice!
Ask questions! No matter how small or silly you think a question is never be afraid to ask! Those seemingly insignificant questions are often key to understanding a problem. Most people feel intimidated about asking questions in class, but remember, if it is something that is bothering you, it is likely to be troubling others as well. If you absolutely cannot bring yourself to raise the question in class, do not leave it! Approach the lecturer at the end of the session, who Iím sure will be glad to help. Donít forget, you can always bring your questions along to the Maths Support Service.
Get organised! With many university students having to juggle work, study and (most importantly) socialising, time management is becoming increasingly important. Make up a schedule that includes all your classes, private study time and all other activities, and then stick to it! This will help you keep on top of your workload and also minimise the chance of missing classes and deadlines. Many students find keeping a personal diary particularly useful.
Review your work! The pace at which you cover topics at university tends to be a lot quicker than at school. This can leave you feeling swamped, as you move on to the next topic without perhaps fully understanding the previous one. Reviewing your work and tackling any problems as they arise (by asking questions!) can prevent a great deal of stress, particularly when preparing for exams. You should be aiming to spend at least one hour doing private study for every hour you spend in class each week. Further reading (see Reading Skills) and trying to explain ideas to friends are just some examples that can really help broaden your understanding of a topic.
Keep at it! Like most challenges, Maths is 99% perspiration and 1% inspiration. It takes time to comprehend but that ďeurekaĒ moment makes it very rewarding. Try adapting some of the ideas in this section into your studies and remember the Maths Support Service is always here to help. |
Book summary
James Stewart's well-received SINGLE VARIABLE CALCULUS: CONCEPTS AND CONTEXTS, Second Edition follows in the path of the other best-selling books by this remarkable author. The First Edition of this book was highly successful because it reconciled two schools of thought: it skillfully merged the best of traditional calculus with the best of the reform movement. This new edition continues to offer the balanced approach along with Stewart's hallmark features: meticulous accuracy, patient explanations, and carefully graded problems. The content has been refined and the examples and exercises have been updated. In addition, CALCULUS: CONCEPTS AND CONTEXTS, Second Edition now includes a free CD-ROM for students that contains animations, activities, and homework hints. The book integrates the use of the CD throughout by using icons that show students when to use the CD to deepen their understanding of a difficult concept.
In CALCULUS: CONCEPTS AND CONTEXTS, this well respected author emphasizes conceptual understanding - motivating students with real world applications and stressing the Rule of Four in numerical, visual, algebraic, and verbal interpretations. All concepts are presented in the classic Stewart style: with simplicity, character, and attention to detail. In addition to his clear exposition, Stewart also creates well thought-out problems and exercises. The definitions are precise and the problems create an ideal balance between conceptual understanding and algebraic skills. [via]
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Softcover, ISBN 0534378625 Publisher: Thomson Brooks/Cole, 2001 Shows some signs of wear, and may have some markings on the inside. Find out why millions of customers rave about Better World Books. Experience the best customer care and a 100% satisfaction guarantee. |
Science at St. Andrews - Mathematics
Our
objective is to develop rigorous mathematical reasoning and critical thinking
skills, which enable students to solve real-life problems. Our students
learn by doing, and they, not the teacher, are the center of the classroom.
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SIAM Student Chapter Colloquium
Logistics
Wednesday 4/28/2010 at 11AM
Siebel Center 3403
Abstract
Given the proliferation of scientific computing courses and high-level programming languages such as MATLAB, Mathematica and Maple, a great deal of pressure has been placed upon finding effective ways to grade and evaluate student homeworks. We have developed a web based program that is extremely simple to use for both instructors and students.
The program evaluates codes and also performs anti-cheating measures so that independent work by the students can be assured. A demonstration of the program will be given highlighting its key features and ease of use. |
Discrete Mathematics 1 For Aqa
9780521799416
0521799414
Summary: This text is written for the OCR modular mathematics syllabus. Each chapter starts with a short list of learning objectives and mathematical ideas are explained clearly with worked examples.
Dolan, Stan is the author of Discrete Mathematics 1 For Aqa, published under ISBN 9780521799416 and 0521799414. Two Discrete Mathematics 1 For Aqa textbooks are available for sale on ValoreBooks.com, one used from the c...heapest price of $14.77, or buy new starting at $3,272.97.[read more] |
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Saturday, September 8, 2012
Calculus: Finishing Our First Unit
For the textbook, I told students they could get the official textbook (Briggs, pretty expensive) or one of the open source textbooks (free, under $25 for print copies of both Boelkins and Guichard).
Unit 1: Exploring the Idea of the Derivative
I've worked with my students for 3 weeks on what is mostly contained in one section of the Briggs (3.1). We started working on average velocity activities in Boelkins and on slope of a secant line. We touched on limits just enough to make sense out of the definition of derivative. We use the definition with h -> 0 most of the time, but did look at a few problems using x -> a. There aren't enough really simple homework exercises available to help students see the basic concept. I'd like to have more to provide next semester.
I will be testing them on Monday. The atmosphere in the classroom changed on Thursday from positive, seeming to be engaged, to tension and distress. I talked with one student, C, who seemed particularly unhappy (by his facial expression and body language). He said he was irritated, and I asked him to come to my office so I could help him. I did something that felt to me almost exactly like what I had done in class a dozen times - I talked him through the slope idea. But he suddenly got it, and was much happier. I don't think he'll know how to practice, though, so I'm guessing he'll need to re-take the test - along with many others. I want to have material he can use to get up to speed; more on that below.
Back to my interaction with C. We chatted until we got to my office, then I closed the door so he'd have more privacy and asked him how he felt about the course. He has to take it for business, and I have the impression it's just a hoop he has to jump through. He has felt like it's not making sense since day one. That is not surprising when the students are so used to algebra classes - find out the new procedure the teacher is pushing, learn how to follow it, practice a few times to get the kinks out from all the other algebraic procedures cluttering up your brain, done. He said, "We were doing one thing, and then switched to something totally unrelated." I see the relationships between the activities (all leading toward derivative, or working with it), but the students don't. They are all related by one basic concept. But the students are looking for things to be procedurally related.
As I tried to understand what the two unrelated things were, I started working with him from the beginning. Did he understand f'(x) = the limit as h goes to 0 of (f(x+h)-f(x)) / ((x+h)-x)? His response made me back up more.
"Do you know slopes for straight lines, from algebra?"
"Yeah. y1-y2 over x1-x2."
So I wrote down what he had said, and drew my picture of a curve with one point labelled (x,f(x)), which I call the stable point, and a second point with x-coordinate x+h, a distance h away from the first, labelled (x+h, f(x+h)), which I call the sliding point. I asked if he could see that these were two points on the curve, with their x and y coordinates labelled. Yep. Then I crossed out the y1 and replaced it with f(x+h), and did the same with the other 3 terms in his slope definition. All of a sudden the light went on for him. I think the notation (f(x+h) especially, see this post and comments) gets in the way for students with weak algebra skills; I also think their skills can be strengthened. I was excited that it suddenly clicked for C, and I see 3 possible factors:
we were working with his definition of slope
I crossed out and replaced things term by term, so it was clear I was just using different symbols for the same thing
we were able to zoom in on his stuck point because we were one-on-one
If #2 was the most important, a small tweak of my lecture will help a lot. But I suspect that each student will need slightly different things. I have 45 students (we started with 50, 5 have already dropped). It would be hard to have individual sessions with each one. But maybe there's a way. They're in groups of 4. I've changed the groups every week so far, so they'd meet lots of other students. Now they get to pick a group and stick with it (at least for the next unit, maybe for the rest of the course). If I talked with one person in each group, maybe they could then help each other. I think I could do that in a week. Hmm...
Today and tomorrow I'll be creating the test, framing the next unit, and thinking about how to help students who didn't yet pass the first test. For material that might help them, I think I need exercises they can do on their own. Problems that have less notational issues, but get them thinking in the right direction. Christopher Danielson proposed working with finite differences. I think that might help them see the light. I wonder if there's any already-made materials for this. (If you know of anything, please point me to it.) I'll be trying to come up with something myself.
Unit 2: Calculating the Derivative
We'll be working on all the usual 'rules' of derivatives. I am thinking about which applications to mix in so that the material includes some motivation. Here's where we need to be more interactive. A textbook can tell the 'rule' and show the proof. But that won't stick. Students need to find the rule from a pattern, then see the need for proving it will work in all cases, then be able to come up with parts of the proof, and be able to explain and reproduce other parts.
Right now I'm thinking about how to lead them to the power rule. The pattern is easy to see from a few examples. They'll want to assume that pattern holds. Is there time (and are they ready for) an activity that shows that patterns you see aren't always the right one? (My favorite is the circle where you add a dot and lines to it from all other dots, and count the total regions. But the solution to that is way hard. Ben Blum-Smith has twoposts collecting problems with patterns that break. I might try some of those.) I want to show them Pascal's Triangle (1653, but used 600 to 700 years earlier in India and China, by Halayudha and Jia Xian, respectively), and get them to describe the relationship of (x+h)^n with a row of the triangle.
5 comments:
Sue, Thanks for your great post. Perfect timing as I will be introducing the derivative (with limits intuitive, also) this week; I'll be sure to work with student-generated ideas about slope, and substitute, as you suggest. Constantly reviewing and reinforcing students' algebra skills is essential in the calculus class I teach.
Hopefully at the end of the week I will be able to send them home with this:
I also think you are correct about the difference between progress in conceptual vs procedural learning. I see kids in all levels of high school math who desire the ease of the latter. I consider it my job to show them that math is really about encountering concepts, not following procedural rules. Thanks again for all you write!
As I try to plan, I feel like I set up units 2 (finding derivatives) and 3 (using derivatives) wrong. If we spend a whole unit on how to calculate, ... o.m.g. ... they'll be so oriented toward procedures, I'll never get them back.
It would be good to match an application with each new derivative 'rule'. We could do some graphing after the power rule (constant rule and sum rule are so straightforward they hardly count). Hmm...
Do you talk about limits as a separate subject at all, or just in the context of the limit of the difference quotient? In my applied calculus classes, we do an intuitive approach to limits, but I spend a week just dealing with limits and continuity. I just don't think it's possible to "get" calculus without really understanding limits.
Then, before talking about the derivative, I spend one day on average rates of change and the difference quotient. This makes a huge difference, because the students most of the mistakes students make in finding derivatives are in finding the difference quotient. And we get to have some good conversation about average rates of change that sets us up well for talking about the instantaneous rate of change.
A key part of this lesson starts with me saying we want to create a new slope formula that emphasizes two things: that we are working with a function, and the horizontal distance between the points. (I make the point strongly that the reason for this is so that we can build calculus on top of it, so even though the old slope formula still works, the new one will be more attuned to our future needs.) I draw a diagram of two points on a line, and tell them that x_1 is now going to be called x. Then I get them to rename the other coordinates, keeping in mind out emphasis goals. Then I tell them to use the old-school slope formula to get a new one, and they come up with the difference quotient. It's beautiful, and it gives them a sense of ownership of this awkward (and seemingly redundant) formula.
As for the Power Rule, I've decided I don't really have time for Pascal's Triangle (as nifty as it is), so this semester I created this handout: It actually went really well, except for those who had seen the Power Rule before, and they had a really hard time articulating any thoughts whatsoever.
It's so often the case that the ones that had calculus in high school are the most procedurally-committed (and therefore weakest) students in my class.
Newton and Leibniz didn't use limits. It took mathematicians 150 years to come up with a good definition of the limit. I think understanding of limits is likely to come slowly for students, while understanding derivatives can be much easier.
I love how you have the students build the definition. And that's a nice handout. (Learning LaTex is on my agenda for this summer.)
About Me
Math Mama is Sue VanHattum, a community college math teacher interested in all levels of math learning, and the mama of a young son. I entered the blogging world as I began work on an anthology about learning math. Contact me at mathanthologyeditor on gmail etc. |
Inequality Symbols & Number Lines
Spreadsheet for either MS Excel 98-2003 or MS Excel 2007-2013. Requires macros to be enabled. Part of the Trinity Maths programme. Compare ±ve numbers, measures & proportions using inequality symbols. Compare two proportions of an amount using inequality symbols. Write inequality expression More…s involving n or another suitable letter. Describe or represent on a number line linear inequalities in one variable. Solve and represent on a number line linear inequalities in one variable. Solve and represent on a number line quadratic inequalities in one variable.
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Love these resources! Being able to produce multiple questions at a click of a button is very useful! Worth viewing his other resources as I always find them an excellent resource for any lesson. Thanks for sharing |
Rodeo, CAThrough
the study of algebra, a student develops an understanding of the symbolic language
of mathematics and the sciences. In addition, algebraic skills and concepts are developed and used in a wide variety of problem-solving situations. Topics covered include: single and two step equations, word problems, graphing, solving systems and introduction to geometry. |
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know to be successful on this quiz. Also, this quiz is helpful in learning the vocabulary that drives these four areas of math. Remember, math is much more than just solving the problems. Find out exactly where your math knowledge lies. There are 77 questions in this Math Quiz that are all related to Maps, Schedules, Graphs, Charts, Data, Probability, and Statistics. Enjoy!
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Meet the Author
Mark J. seven years. Mark is married to Kristie and they have a daughter, Alexa, and a son, Landon. Daughter Abigail went home to the Lord shortly before birth |
Council of Teachers of Mathematics
the best way to teach young people about geometry? Or general data analysis? The National Council of Teachers of of Mathematics (NCTM) has a few ideas on the subject and they have brought them together in the Core Math Tools Suite. This downloadable suite of interactive software tools for algebra, geometry, statistics, and related topics can be used in a range of educational settings. The General Purpose Tools area contains five tools that require strategies and skills that are highly applicable to a range of analytical skills. The site also contains How-To Pages, along with Advanced Apps such as the "Ranked Choice Voting" app, which can be used to determine voting outcomes based on various ranked choice voting methods.Thu, 12 Sep 2013 11:52:00 -0500Architectural Layout Design Optimization
joint effort between architecture and mechanical engineering researchers at the University of Michigan applied geometrical and topological optimization techniques to building floorplan layout. In the course of their research, they developed an optimization tool that is briefly described and can be downloaded from a Web site given in the paper.Tue, 27 May 2008 03:00:02 -0500Geometry and the Imagination
collection of handouts for a two-week summer workshop entitled 'Geometry and the Imagination', led by John Conway, Peter Doyle, Jane Gilman and Bill Thurston at the Geometry Center in Minneapolis, June 17-28, 1991. The workshop was based on a course taught twice before at Princeton.Thu, 3 Jan 2008 03:00:02 -0600The Four Colour Theorem
essay describing work on the theorem from its posing in 1852 through its solution in 1976, with two other web sites and 9 references (books/articles).Thu, 20 Dec 2007 03:00:02 -0600Problems With a Point
Fri, 16 Nov 2007 03:00:02 -0600Polyhedra Pastimes
consultant and textbook author Jill Britton is the author of these metasites listing Web resources for grade 5-8 mathematics. Each metasite revolves around a certain topic. The third metasite listed here focuses on polyhedra with activities ranging from creating three-dimensional polyhedra with gumdrops and toothpicks to examining Ernst Haeckel's nineteenth-century sketches of polyhedral structure of Radiolaria (a plankton). Other types of links given on these pages are to merchants selling educational materials, sites on the history of mathematics, and activities with holiday themes.Sun, 29 Jul 2007 03:00:01 -0500The Mathematical Atlas
started by Professor Dave Rusin of Northern Illinois University, the Mathematical Atlas is now a very large "collection of articles about aspects of mathematics at and above the university level, but (usually) not at the level of current research." The amount of material is immense; fortunately, there are multiple ways of browsing the site. Subjects are mainly geared toward modern mathematics, and there are currently 97 different areas covered. Each article gives a basic introduction to the subject, applications and related fields, and selected topics. There are also many references to resources, both books and online, that discuss the topic in greater detail.Fri, 27 Jul 2007 03:00:01 -0500Projective Geometry
Fri, 20 Jul 2007 03:00:02 -05Wolfram Mathematica in Precollege Education
the Classroom" highlights how some schools and organizations use Mathematica extensively in their curricula. The section on "Collaborative Initiatives" illustrates how businesses have teamed up with Wolfram Research to sponsor hands-on workshops, low-cost Mathematica licenses, and other opportunities for classrooms. Also, learn more about educational resources, such as the Mathematica Speaker Assistance Program; products; and license programs.Wed, 21 Mar 2007 03:00:01 -0500Wolfram Mathworld
hosted and sponsored by Wolfram Research, Inc., is an online mathematics encyclopedia intended for students, educators, math enthusiasts, and researchers. This amazing resource was compiled over 12 years by Eric Weisstein with assistance from the mathematics and Internet communities, and continues to be updated. (Weisstein also authored the ScienceWorld site, which contains material about astronomy, scientific biography, chemistry, and physics and has been reported on in a previous Scout Report). Topics listed in the index include: Algebra, Applied Mathematics, Calculus and Analysis, Discrete Mathematics, Foundations of Mathematics, Geometry, History and Terminology, Number Theory, Probability and Statistics, Recreational Mathematics, and Topology. Visitors can also browse an alphabetical index of subjects and concepts covered on this website. The What's New section highlights current developments in mathematics, and more extensive coverage of select topics is offered in the newsletter. Numerous animated GIFs and 3D graphics pages coupled with links to further references and articles make this an interactive site as well.Mon, 16 Jan 2006 13:25:11 -0600 |
Functions Modeling Change Precalculus, High School Version - 04 edition
Summary: Functions, Lines, and Change.Functions, Quadratics, and Concavity.Exponential Functions.Logarithmic Functions.Transformations of Functions and Their Graphs.Trigonometric Functions.Trigonometry.Compositions, Inverses, and Combinations of Functions.Polynomial and Rational Functions.Vectors and Matrices.Sequences and Series.Parametric Equations and Conic Sections.Answers to Odd-Numbered Problems.Index62 +$3.99 s/h
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You remember this stuff from class, but don't remember exactly how it works. A couple examples to jog your memory are all you need to get back on track.
This is exactly why we created The Mathematics Survival Kit!
The Mathematics Survival Kit - Maple Edition is the perfect companion for college & high school math students.
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Mathematics teaching tool
Home schoolers, high school tutors, and students needing additional mathematics study will find this many-featured app a handy addition to their toolbox. It provides assistance for grasping two-dimensional function graphs with animation, analyzing functions, understanding analytic geometry, solid geometry, and more.
Math Studio launches a three-paned interface similar to the familiar e-mail client design: the upper-left vertical pane is a graph manager, the lower-left pane is a result editor, and the large pane on the right is a plotting area for displaying graphs. However, the cluster of icons in the three toolbars aligned along the interface's top may intimidate novices during their initial use. With familiarity, though, users will develop confidence to navigate the app capably. This app performed nicely during our tests. The Help file provides solid direction in using Math Studio's features, and the Demo command's array of examples demonstrate the results the user should aim for. The buttons and dialog boxes responded quickly to our clicks, including when we added a point to an existing graph. The animation features performed very smoothly, and we liked that we could save and export the animations for later review.
Although the publisher's description says some features are disabled in the free version--the description doesn't specify which functions--we didn't encounter any of these limitations during our tests. But it's clear from our work with Math Studio that jumping into using this app without some sort of guidance isn't the best way to learn about function graphs--we advise relying on this app as a complement to a text book or study guide |
ASCAL's Triangle: Grade 9-12
How to teach the relationship of Pascal's Triangle to the various branches of mathematics. Contains a wide variety of exercises on probabilities, ...Show synopsisHow to teach the relationship of Pascal's Triangle to the various branches of mathematics. Contains a wide variety of exercises on probabilities, binary paths, checkerboard paths, binomial expansions, Fibonacci numbers, cubic numbers, and more. Answer key features detailed figures and |
Using your notes, worksheets, or text books as a guide to help explain your problems. Text books and teachers can only help so much, having someone who knows the material and explain it to you as you do it can make all the difference. Repetition is another way of figuring out difficult concepts and problems resolved and try to do better. I will give... |
TTA is a full-year algebra support curriculum, forthcoming from Heinemann in 2014, designed to:
run concurrently with first-year algebra (though some schools use it as pre-algebra, in summer schools, or as supplemental materials in algebra); and
raise the competence and confidence of students who may benefit from supports for algebra success.
TTA is designed to build students' algebraic habits of mind, key mathematical ways of thinking aligned with the Common Core Standards for Mathematical Practice. Students explore algebraic logic puzzles that connect to and extend algebra course topics and learn broadly-applicable tools and strategies to help them make sense of what they are learning in algebra. Students discuss and refine their ideas as they work through mental mathematics activities, written puzzles, spoken dialogues, and hands-on explorations that engage them in cultivating mathematical knowledge, intuition, and skills. |
This eBook introduces the significant scientific notation of the very large, the intermediate and the very small in terms of numbers and algebra through an exploration of indices, the rules of indices and standard index form.
This "Charlotte's Web" activity guide by E.B. WhiteDecimals considers the significance of the position of the decimal point, compares & converts 'fractions-decimals-percentages', considers 'multiplying & dividing' decimals by 10 and 100, rounds decimals to the nearest whole number, tenth, or hundredth, considers 'less than', 'greater than' and '=' signs in arithmetic and walks the student through the addition and subtraction methods with decimals.
Fractions, percentages and ratio introduces the student to fractions, their representation and their arithmetic, percentages, their representation and their conversion to or from fractions or decimals, as well as ratio, its representation and arithmetic manipulation using ratio.
This eBook introduces the subject of measures and measurement, and looks at both metric and imperial units of measurement, the process and accuracy of reading scales, limits on the accuracy of measurements and compound measurements.
This eBook introduces the related subjects of Pythagoras' theorem, trigonometry and similarity, as Pythagoras' theorem relates to all right-angles triangles, trigonometry as it relates to angles and ratios of sine, cosine and tangent in right-angled triangles, angles of elevation and depression as well as similarity and congruence.
This eBook introduces the subject of transformation as it relates to translations, reflections, rotations and enlargements either as individual operations or composite operations. In this eBook we illustrate each of these translations using right-angled triangles, but the principles developed extend to all 2D shapes as well as to 3D shapes using extensions.
This eBook introduces the subjects of angles, bearings and scale drawings. To angles as it relates to angular turn about a point, angles in polygons, angle facts and inter-relational aspects with parallel as well as crossing lines, to bearings as they relate to navigation and scale drawings as an aspect of technical drawing.
Loci, Constructions and 3D Co-ordinates is an introductory text on loci and their characteristics, constructing triangles, the bisector of a line and the perpendicular bisector of a line as well as using 3D co-ordinates
This eBook introduces 2D planar and 3D solids (shapes) and their corners (vertices), faces, edges, lines and planes of symmetry and order of rotational symmetry. It introduces the student to regular and irregular polygons, quadrilaterals, triangles, circles, nets of solids, cuboids, prisms and cylinders including formulating the algebra that describes their various areas, perimeters and volumes.
Book 1 - a must have for all high school aged students who risk being the target of bullying. It outlines and defines bullying, offering solutions through communication (verbal response) and increased awareness (surroundings, body language, personal traits ...etc...)This book is a step-by-step guide, providing a variety of solutions to minimize the problem of bullying.
So you picked up a nice Blackberry Playbook, and figured that with such a nice screen, it would be great for watching movies on it. Unfortunately, there are not that many options to actually obtain movies for it.
Of course you can watch videos from YouTube, but for new-release movies, you are pretty much out of luck. |
Service Learning Courses in Math
A first course in algebra. Topics include, but are not limited to, solving linear equations and inequalities, arithmetic operations on polynomials, factoring polynomials, introduction to rational and quadratic equations, simplifying expressions containing integer exponents, introduction to radicals and rational expressions, graphing linear equations, solving systems of two linear equations, and appropriate applications of these topics. Four class hours per week; four fee hours; four imputed credits; no earned credits. No Credit.
No Credit
Prerequisite: TRS 094 with a grade of C or better, or MCC Level 4 Mathematics Placement.
*MTH 098, MTH 099, and MTH 104 are developmental courses. They do not fulfill a mathematics requirement for an Associate in Arts or Associate in Science Degree.
Use links below to see if this course is offered:
Service Project (MTH 098-SL2):
Develop a video solving a mathematical exercise from final exam review packet. Videos will be donated to a local High School. (5 hours) F-12 |
stand-out graphing tool designed for students, scientists and engineers. Visitors can read the Introduction to get started, as it contains information about the various functions that the tool can perform. The Picture Gallery provides interactive demonstrations that show visitors how each operation is performed. Also, the left-hand side of the homepage contains links to the different areas within the site, including Data, Curve Fitting, Iterations, and Matrices. The site offers a trial version of the program at no charge. The site is rounded out by a collection of links to helpful freeware and mathematical software from around the Internet.Mon, 12 Nov 2012 10:40:45 -0600Mathematics for Photonics Education
has developed program planning and course materials to support education and training for future and current photonics technicians. Classroom materials include Scientific Notification, Unit Conversion, Introductory Algebra, Introductory Geometry, Introductory Trigonometry, Exponents, Logarithms, and Graphing. Visitors can request evaluation copies of any of these materials or purchase them via the contact information given.Mon, 22 Oct 2012 10:56:35 -0500Listen to Fourier series
webpage from Johns Hopkins University provides an introduction to Fourier series. The site describes Fourier series in the context of audio tones, and interactive applets that illustrate the concepts involved are also included. Also, at the bottom of the page, you can listen to different types of white noise.Fri, 24 Aug 2012 11:44:11 -0500Mathematics Course
document from SpaceTEC National Aerospace Technical Education Center presents a core readiness course which will serve to prepare individuals entering the aerospace field. The document is 55 pages and contains materials on both basic and advanced math topics such as whole numbers, fractions, decimals, roots, computing area, measurement systems, and functions of numbers.Mon, 18 Jul 2011 11:33:50 -0500Graphs from the Unit Circle
lesson from Illuminations teaches students the features of sine and cosine graphs. Students use uncooked spaghetti to demonstrate the properties of the unit circle, which they will then represent with graphs. It is intended for students who have already learned about unit circle trigonometry, and is best for upper level high school classes. The lesson should require 3 class periods to complete.Thu, 27 Jan 2011 03:00:01 -0600National Debt and Wars
algebra lesson from Illuminations has students collect data about the national debt, and then plot that data by decade. They will then determine whether an exponential curve is a good fit for the data. The interdisciplinary learning unit compares the national debt during the Civil War, World War I and World War II. The material is appropriate for grades 9-12 and should require 2 class periods to complete.Wed, 19 Jan 2011 03:00:03 -0600Pi Line
lesson from Illuminations asks students to measure the diameter and circumference of various circular objects, plot the measurements on a graph, and relate the slope of the line to π, the ratio of circumference to diameter. A student activity sheet is included. The material is appropriate for grades 9-12 and should require 1 class period to complete.Wed, 19 Jan 2011 03:00:02 -0600Determining Functions Using Regression
unit from Illuminations focuses on collecting data and using technology to find functions to describe the data collected. Students will learn to use a calculator to find the curve of best fit for a set of data and demonstrate an understanding of how modifying parameters changes the graphs of functions by writing equations for those functions. The unit includes two lessons intended for grades 9-12, and should require 4 class periods to complete.Mon, 17 Jan 2011 03:00:03 -0600Do I Have to Mow the Whole Thing?
lesson from Illuminations looks at inverse variation. Students are asked to use estimates to measure the height of an object, visualize two-dimensional objects and calculate their area, and sketch graphs to determine the equations for inverse variation relationships. The lesson is intended for grades 9-12 and should require 1 class period.Mon, 17 Jan 2011 03:00:03 -0600Domain Representations
lesson from Illuminations asks students to use graphs, tables, number lines, verbal descriptions, and symbols to represent the domain of various functions. The material allows students to examine and utilize connections between a function's symbolic representation, a function's graphical representation, and a function's domain. The lesson is intended for grades 9-12 and should require 1 class period to complete.Fri, 14 Jan 2011 03:00:03 -0600Growth Rate
lesson from Illuminations uses growth charts for girls and boys to examine rates of change. The material uses slope to approximate the rate of change in height. Students will learn how to translate this data into a graph. The lesson is appropriate for grades 9-12 and should require 1 class period to complete.Fri, 14 Jan 2011 03:00:03 -0600Varying Motion
algebra lesson helps students understand the relationship between the shape of a graph and the movement of an object. Students will collect and graph data, use slopes of tangent lines to create graphs of instantaneous velocities and instantaneous accelerations and use the area under a graph line to calculate velocities and displacements at specific moments in time. The material is intended for grades 9-12 and should require 3 class periods to complete.Thu, 13 Jan 2011 03:00:02 -0600Fibonacci Nim
unit from Illuminations includes three related mathematical lessons. The first lesson, "Number Representations," has students learn about converting decimal numbers to numerals. Students also learn about the Fibonacci representation. The second lesson, "Static Nim," introduces an educational game that involves numbers and graphing. The third lesson, "Optimal Strategies," expands upon the previously introduced game. The material is appropriate for grades 9-12 and should require 5 class periods to complete.Tue, 11 Jan 2011 03:00:02 -0600Movie Lines
algebra lesson from Illuminations involves using linear equations and graphs in a real world context. Students will graph a line based on data points, find the equation of the line, identify y-intercept and slope, and extrapolate data. The material is appropriate for grades 9-12 and should require 1 class period to complete.Tue, 11 |
Graphing software for Windows®
Looking for a graph plotting software that allows math students to explore advanced math functions? You've just stumbled upon the most hip one. GraphSight is a popular and feature-rich comprehensive math graphing software, featuring easy navigation, perfectly suited for both high-school and college math students usage. The program is capable of plotting Cartesian, polar, table defined, as well as specialty graphs, such as trigonometric (sin, cos, tg, and others) or exponential functions. Importantly, it features a simple data and formula input format, making it very practical for solving in-class and homework algebra or calculus problems. This graphing software comes with customizable axis options (color, style, width, grid), and table data import/export options. The one feature that makes it very popular among both math teachers and students is that the graphs the program plots are fully interactive. This object-oriented approach lets the students zoom in and out, see the points of intercept and do much more. Also, the program allows multiple graphs plotting. GraphSight is much easier to use than most of the similar graphing software. Program's user interface is well labeled and is exceptionally simple to follow. The program runs under Windows 98/NT/ME/2000/XP and requires Internet Explorer 5.0 or higher installed. The benefits of registration include removal of all limitations, worth of free minor updates and responsive technical support. Academic resellers, schools and colleges receive a significant discount for registering multiple copies. Hurry up and download this graphing software now!
Scientific calculator recommended for use by math, physics and engineering students and teachers. The main advantage of the software is a simple input format even for the most complicated scientific formulas. |
Are the technical math courses needed for your technology courses teaching the right math requirements? Please see this web site for ways to improve and enhance your math offerings. AMATYC has funding for the NSF CCLI...
In this lesson from Math Machines, students will use graphing calculators to send signals to each other and to machines such as an RC vehicle, a buzzer and a fan. Students will gain an understanding of the 4-bit binary...
In this lesson from Math Machines, students will "use trigonometry to automate the calculator-controlled Pointer to shoot a laser at a bug target." The activity will allow students the chance to practice constructing...
In this lesson from Math Machines, students will learn about stepper motors and how they are controlled with calculators. SAM (short for Science and Mathematics) is a calculator-controlled stepper motor robot. Students...
In an era increasingly awash with numbers, how can one parse it all out? How is it possible to separate the proverbial quantitative chaff from the valuable wheat? Carleton College has taken on this weighty matter with... |
Calc is a very long way away from category theory, both conceptually and in terms of the classes you have to take. There's absolutely no reason why you can't understand it with a little bit of set theory, though. |
Mathematics
MAT 102
Intermediate Algebra for College Students
This is an intermediate course in algebra that further develops selected topics from MAT 101 along with operations with rational expressions; rational exponents; roots and radicals; absolute value equations and inequalities. |
Naplan Style Maths Tests - Year 9
Por Eureka Multimedia Pty Ltd
Abre Mac App Store para comprar y descargar apps.
Descripción
Based on Australian Schools Naplan Tests.
Eureka's Naplan Style Maths Tests for Year 9 is a revolutionary maths tests creator that help students to reinforce maths lessons taught in class and in particular, the the type of questions asked in Australia's National Assessment Program - Literacy and Numeracy (NAPLAN) type tests.
* Generates 1000's of unique NAPLAN-type maths questions. * Based on past NAPLAN tests. * Tests can be completed on-screen or in printed form to simulate test conditions. * Includes Step by step worked solutions. * Progress is tracked and areas of weakness are identified. * Combines calculator and non-calculator tests
• Perimeter, Area and Volume - Perimeter - Perimeter of a Sector - Some Special Sectors - Perimeter of Composite Figures - Applications of Perimeter - Area - Area of a Sector - Applications of Area - Surface Area - Volume of Prisms and Cylinders - Capacity and Mass
• Coordinate Geometry - Coordinates of a Point - Length of an Interval - Midpoint of an Interval - Graphs of Linear Relations - Sketching a Linear Graph - Horizontal and Vertical Lines - Gradient of a Line - Finding the Gradient of a Line - Graphs of Non-Linear Relations - The Parabola
• Trigonometry - Identifying and Naming the Sides of a Right-Angled Triangle - Ratios of Sides in Similar Right-Angled Triangles - Trigonometric Ratios - The Calculator in Trigonometry - Finding Angles of a Right-Angled Triangle - Finding the Length of a Side of a Right-Angled Triangle - Angles of Elevation and Depression - Directions and Bearings |
More About
This Textbook
Overview
Mathematics is a grand subject in the way it can be applied to various problems in science and engineering. To use mathematics, one needs to understand the physical context. The author uses mathematical techniques along with observations and experiments to give an in-depth look at models for mechanical vibrations, population dynamics, and traffic flow. Equal emphasis is placed on the mathematical formulation of the problem and the interpretation of the results. In the sections on mechanical vibrations and population dynamics, the author emphasizes the nonlinear aspects of ordinary differential equations and develops the concepts of equilibrium solutions and their stability. He introduces phase plane methods for the nonlinear pendulum and for predator-prey and competing species models.
Editorial Reviews
From the Publisher
'Before courses in math modeling became de rigueur, Richard Haberman had already demonstrated that mathematical techniques could be unusually effective in understanding elementary mechanical vibrations, population dynamics, and traffic flow, as well as how such intriguing applications could motivate the further study of nonlinear ordinary and partial differential equations. My students and I can attest that this carefully crafted book is perfect for both self-study and classroom use.' Robert E. O'Malley, Jr, University of Washington
Booknews
Covers such applied mathematics topics as equilibrium solutions and their stability, phase plane methods and linearization procedures, the method of characteristics, and traffic density wave propagation. Requires a knowledge of calculus, including partial derivatives. A reprint of the 1977 edition |
Correlation for Holt McDougal Algebra 2. Standards. Descriptor. Algebra 1.
Geometry. Algebra 2 ... Use units as a way to understand problems and to guide
the solution of multi-step problems; choose ...... key features given a verbal
description. |
Intermediate Algebra carefully builds on the basics learned in Elementary Algebra and introduces the more advanced topics,...
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Intermediate Algebra carefully builds on the basics learned in Elementary Algebra and introduces the more advanced topics, enhancing it all with with the modern amenities that only a free online text can deliver.It is essential to lay a solid foundation in mathematics if a student is to be competitive in today's global market. The importance of algebra, in particular, cannot be overstated, as it is the basis of all mathematical modeling used in applications found in all disciplines. Traditionally, the study of algebra is separated into a two parts, Elementary and Intermediate Algebra. This textbook by John Redden, Intermediate Algebra, is the second part. Written in a clear and concise manner, it carefully builds on the basics learned in Elementary Algebra and introduces the more advanced topics required for further study in applications found in most disciplines. Used as a standalone textbook, Intermediate Algebra offers plenty of review as well as something new to engage the student in each chapter. Written as a blend of the traditional and graphical approaches to the subject, this textbook introduces functions early and stresses the geometry behind the algebra. While CAS independent, a standard scientific calculator will be required and further research using technology is encouraged. Intermediate Algebra is written from the ground up in an open and modular format, allowing the instructor to modify it and leverage their individual expertise as a means to maximize the student experience and success. A more modernized element, embedded video examples, are present, but the importance of practice with pencil and paper is consistently stressed. Therefore, this text respects the traditional approaches to algebra pedagogy while enhancing it with the technology available today. The importance of Algebra cannot be overstated; it is the basis for all mathematical modeling used in all disciplines. After completing a course sequence based on Elementary and Intermediate Algebra, students will be on firm footing for success in higher-level studies at the college levelThis is a WWW textbook written by Evans M. Harrell II and James V. Herod, both of Georgia Tech. It is suitable for a first...
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This is a WWW textbook written by Evans M. Harrell II and James V. Herod, both of Georgia Tech. It is suitable for a first course on partial differential equations, Fourier series and special functions, and integral equations. Students are expected to have completed two years of calculus and an introduction to ordinary differential equations and vector spaces. For recommended 10-week and 15-week syllabuses, read the preface.
According to The Orange Grove, "This book covers the following: Foundations of Trigonometry, Angles and their Measure,...
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According to The Orange Grove, "This book covers the following: Foundations of Trigonometry, Angles and their Measure, Applications of Radian Measure, Cosine and Sine, Beyond the Unit Circle, The Six Circular Functions and Fundamental Identities, Beyond the Unit Circle, Trigonometric Identities, Graphs of the Trigonometric Functions, Graphs of the Cosine and Sine Functions, Graphs of the Secant and Cosecant Functions, Graphs of the Tangent and Cotangent Functions, The Inverse Trigonometric Functions, Inverses of Secant and Cosecant: Trigonometry Friendly Approach, Inverses of Secant and Cosecant: Calculus Friendly Approach, Using a Calculator to Approximate Inverse Function Values, Solving Equations Using the Inverse Trigonometric Functions, Trigonometric Equations and Inequalities, Applications of Trigonometry, Applications of Sinusoids, Harmonic Motion, The Law of Sines, The Law of Cosines, Polar Coordinates, Graphs of Polar Equations, Hooked on Conics Again, Rotation of Axes, The Polar Form of Conics, Polar Form of Complex Numbers, Vectors, The Dot Product and Projection, and Parametric Equations. In addition, exercises and answers are provided for the reader.Most questions from this textbook are available in WebAssign. The online questions are identical to the textbook questions except for minor wording changes necessary for Web use. Whenever possible, variables, numbers, or words have been randomized so that each student receives a unique version of the question. This list is updated nightly.״
* An introduction that appeals to the reader's reason rather than to her/his ability to memorize. * A complete tool for...
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* An introduction that appeals to the reader's reason rather than to her/his ability to memorize. * A complete tool for teaching "developmental" students twice a week for 15 weeks. * A way for adults to learn some mathematics—more or less in the same spirit as mathematicians do. * A text, with a story-line, written to be read and reread. * A presentation that pays pedantic attention to the linguistic difficulties the reader is likely to have in mathematics. * A political act to "enable people to get on better terms with reason—to learn to live with the truth." [Colin McGinn] * An anti "Show a Template Example, Drill and Test" manifesto. * An open source package written in LaTeX with lots of vector graphics. * A standalone version of part of From Arithmetic to Differential Calculus. (In Preparation.) * An instance of a model-theoretic approach to mathematical exposition. * A treatment that, while not rigorous in the usual mathematical sense, sins only by venial omission. * A work by a mathematician who, almost fifty years ago, got interested in reconciling "just plain folks" with mathematics.
'From the MAA review of this book: "The discussions and explanations are succinct and to the point, in a way that pleases...
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'From the MAA review of this book: "The discussions and explanations are succinct and to the point, in a way that pleases mathematicians who don't like calculus books to go on and on.״There are eleven chapters beginning with analytic geometry and ending with sequences and series. The book covers the standard material in a one variable calculus course for science and engineering except for numerical integration. The size of the book is such that an instructor does not have to skip sections in order to fit the material into the typical course schedule.There are sufficiently many exercises at the end of each sections, but not as many as the much bigger commercial texts. Some students and instructors may want to use something like a Schaum's outline for additional problems.' |
Too many students end their study of mathematics before ever taking an algebra course. Others attempt to study algebra, but are unprepared and cannot keep up. Key to Algebra was developed with the belief that anyone can learn basic algebra if the subject is presented in a friendly, non-threatening manner and someone is available to help when needed. Some teachers find that their students benefit by working through these books before enrolling in a regular algebra course--thus greatly enhancing their chances of success. Others use Key to Algebra as the basic text for an individualized algebra course, while still others use it as a supplement to their regular hardbound text. Allow students to work at their own pace. The Key to Algebra books are informal and self-directing. Book 3 covers Equations (solving, equivalent, finger method, addition principle, using to solve problems, age puzzles, perimeter problems, division principle, and multiplication principle).Format: PaperbackPublisher: Key Curriculum Press
Most Helpful Customer Reviews
Key to Algebra books provide a wonderful proggresive course for students. Key to Algebra Book 3 Equations focuses on excersices. The first page of the book provides the history of the Equations.In the end of the book, provided is a Practice Test which reviews the lessons taught in the book. The book provides pages that will teach the process in solving the coming excersices. However, these pages are usually not enough to give a student who is beginning to learn algebraic equations a full understanding. The student may be obliged to ask somebody older to help them. |
Beyond Problem Solving and Comprehension An Exploration of Quantitative Reasoning
9780898597424
ISBN:
0898597420
Publisher: Erlbaum Associates, Incorporated, Lawrence
Summary: Building on the methods and techniques presented in Problem Solving and Comprehension the authors show how their methods can be used to manage more difficult problems and situations. By providing step-by-step solutions for problems of figural reasoning, chart and graph interpretation, verbal reasoning, and advanced mathematical word problems, the authors create an ideal book for gifted students and for those preparin...g to take standardized admissions tests for colleges and professional schools.[read more] |
Math 215 -- Linear Algebra
Linear Algebra is a "sophomore-level" course that is often taken by first-year students
with sufficient calculus background from high school. It covers basic linear algebra
and also introduces students to formal mathematical reasoning and rigorous proofs.
Linear algebra can be taken either after or before multivariable calculus, in
the combinations Math 121-Math 215,
Math 215-Math 121, or Math 215-Math 216.
For students with very strong interest in mathematics
or mathematical physics, we recommend the sequence Math 215-Math 216,
which follows linear algebra by Math 216. Math 216
covers multivariable calculus at a somewhat more advanced
and theoretical level than Math 121.
This combination offers many advantages for those students thinking about majoring
or minoring in math or taking more advanced mathematics courses.
Who should take this course?
Students considering the math major or minor
Students in any natural science or social science major interested in the more
mathematical side of their field (e.g., economics, physics)
Students who have mastered single-variable calculus and want to see
what "mathematics beyond calculus" is like. |
RATIONALE
Mathematics is an important discipline of learning at the secondary stage. It helps the
learners in acquiring decision- making ability through its applications to real life both in familiar
and unfamiliar situations. It predominately contributes to the development of precision, rational
and analytical thinking, reasoning and scientific temper. One of the basic aims of teaching
Mathematics at the Secondary stage is to inculcate the skill of quantification of experiences
around the learner. Mathematics helps the learners to understand and solve the day to day life
problems faced by them including those from trade, banking, sales tax and commission in
transaction. It also helps them to acquire the skill of representing data in the form of tables/graphs
and to draw conclusions from the same.
The present curriculum in Mathematics includes the appreciation of the historical development of
mathematical knowledge with special reference to the contribution of Indian mathematicians
particularly in the introduction of zero, the decimal system of numeration in the international
form (popularly known as Hindu – Arabic numerals ). The learners are encouraged to enhance
their computational skills using Vedic Mathematics.
OBJECTIVES
The main objectives of teaching Mathematics at the Secondary stage are to enable the
learners to :
· acquire knowledge and understanding of the terms, concepts, symbols, principles and
processes.
· acquire the skill of quantification of experiences around them.
· acquire the skill of drawing geometrical figures, charts and graphs representing given data.
· interpret tabular/graphical representation of the data.
· articulate logically and use the same to prove results.
· translate the word problems in the mathematical form and solve them.
· appreciate the contribution of Indian mathematicians towards the development of the subject.
· develop interest in Mathematics.
DESCRIPTION OF COURSE
The present syllabus in Mathematics has been divided into six modules namely Algebra
,Commercial Mathematics ,Geometry, Mensuration ,Trigonometry and Statistics .
The marks allotted , number of lessons and suggested study time for each module are as under :
Name of the module
Number of
lessons
Study time
( in hours )
Marks
1. Algebra
8
50
26
2. Commercial Mathematics
4
35
15
3. Geometry
10
75
25
4. Mensuration
2
25
10
5. Trigonometry
2
20
12
6. Statistics
4
35
12
30
240
100
There will be three Tutor Marked Assignments (TMA's) to be attempted by the learner. The
awards/grades of the best two TMA's will be reflected in the Mark sheet.
DETAILED DESCRIPTION OF EACH MODULE IS AS FOLLOWS :
Module 1 : Algebra Study time : 50 Hours Marks : 26
Scope and Approach : Algebra is generalized form of arithmetic. Here we would deal with
unknowns in place of knowns as in arithmetic. These knowns are, in general, numbers. It may be
recalled that the study of numbers begin with natural numbers without which we would not be
able to count. The system of natural numbers is extended to rational number system. To be able
to measure all lengths in terms of a given unit, the rational numbers have to be extended to real
numbers. Exponents and indices would simplify repeated multiplication and their laws would be
introduced. These would be used to write very large and very small numbers in the scientific
notation.
Algebraic expressions and polynomials would be introduced with the help of four fundamental
operations on unknowns. Equating two algebraic expressions or polynomials leads to equations. In the module a study of linear and quadratic equations would be taken up to solve problems of
daily life.
The learners would be acquainted with different number patterns. One such pattern, namely Arithmetic Progression would be studied in details.
1.1 Number Systems
--Review of natural numbers ,integers and rational numbers, rational numbers as
terminating or non – terminating decimals. Introduction of irrational numbers as nonterminating
and non – recurring decimals.
--Rounding of rational numbers and irrational numbers. Real numbers.
--Representation of irrational numbers such as 2 , 3 and 5 on the number line.
--Operations on rational and irrational numbers.
1.3 Radicals( Surds )
--Meaning of a radical, index and radicand. Laws of radicals. Simplest form of a radical.
--Rationalising a radical in the denominator. Simplification of expressions involving
radicals.
1.4 Algebraic Expressions and Polynomials
--Introduction to variables. Algebraic expressions and polynomials. Operations on algebraic
expressions and polynomials. Degree of a polynomial. Value of an algebraic expression .
1.5 Special Products and Factorisation
--Special products of the type ( a ± b )2 , (a + b)(a – b) , ( a ± b )3.
--Application of these to calculate squares and cube of numbers.
--Factorisation of the algebraic expressions.
--Factorisation of expressions of the form a2 – b2, a3 ± b3 .
--Factorisation of the polynomial of the form ax2 + bx + c ( a ¹ 0) by splitting the middle
term.
--H.C.F and L.C.M of two polynomials in one variable only by factorisation.
--Rational expressions. Rational expression in the simplest form.
--Operations on rational expressions.
1.6 Linear Equations
--Linear equations in one variable and in two variables. Solution of a linear equation in one
variable.
--System of linear equations in two variables. Graph of a linear equation in two variables.
--Solution of a system of linear equations in two variables ( graphical and algebraic
methods).
--Solving word problems involving linear equations in one or two variables.
1.8 Number Patterns
-Recognition of number patterns. Arithmetic and Geometric progressions. nth term and
sum to n terms of an Arithmetic Progression.
Module 2 : Commercial Mathematics Study time : 35 Hours Marks : 15
Scope and Approach : After passing Secondary level examination ,some learners may work in
banks, business, houses, insurance companies dealing with sales tax ,income tax , excise duty etc.
Some other may enter business and ind ustry. Some may go for higher studies. All of them will
need mathematics of finance. In any case ,every citizen has to deal with problems involving
interest , investment , purchases etc. It is in this context ,the present module would be developed.
In this module , applications of compound interest in the form of rate of growth ( appreciation )
and depreciation(decay) will be dealt. In solving problems related to all the stated areas , the
basic concepts of direct and inverse proportion (variation) ,and percentage are all pervading.
2.1 Ratio and Proportion
Review of ratio and proportion. Application of direct and inverse proportion (variation).
2.3 Compound Interest
Compound interest and its application to rate of growth and depreciation.
(conversion periods not more than 4 )
2.4 Banking
Concept of Banking. Types of accounts : (a) Saving (b) Fixed/term deposit
Calculation of interest in saving account and on fixed deposit with not more than 4
conversion periods.
Module 3 : Geometry Study time : 75 Hours Marks : 25
Scope and Approach : Looking at the things around him , the learner sees the corners
,edges , top of a table , circular objects like rings or bangles and similar objects like
photographs of different sizes made from the same negative which arouse his curiosity to
know what they represent geometrically.
To satisfy the learners curiosity and to add to his knowledge about the above things, the
lessons on Lines and Angles, congruent and similar triangles and circles will be
introduced. Some of the important results dealing with above concepts would be verified
experimentally while a few would be proved logically. Different types of quadrilaterals
would also be introduced under the lessons on Quadrilaterals and Areas.
The learners would also be given practice to construct some geometrical figures using
geometrical instruments. In order to strengthen graphing of linear equations , the basic
concept of coordinate geometry has been introduced.
Note : Proofs of only " * " marked propositions and riders based on " * " marked
propositions using unstarred propositions may be asked in the examination.
However direct numerical problems based on unstarred propositions may also be asked in
the examination.
3.1 Lines and Angles
Basic geometrical concepts : point ,line ,plane,parallel lines and intersecting lines in a
plane. Angles made by a transversal with two or more lines.
--If a ray stands on a line, the sum of the two angles so formed is 180o.
--If two lines intersect, then vertically opposite angles are equal.
--If a transversal intersects two parallel lines then corresponding angles are equal.
--If a transversal intersects two parallel lines then
(a) alternate angles are equal
(b) interior angles on the same side of the transversal are supplementary.
--If a transversal intersects two lines in such a way that
(a) alternate angles are equal ,then the two lines are parallel.
(b) interior angles on the same side of the transversal are supplementary ,then the two
lines are parallel.
*Sum of the angles of a triangle is 180o.
--An exterior angle of a triangle is equal to the sum of the interior opposite angles.
--Concept of locus (daily life examples may be given)
--The locus of a point equidistant from two given :
(a) points (b) intersecting lines.
3.2 Congruence of Triangles
--Concept of congruence through daily life examples . Congruent figures.
--Criteria for congruence of two triangles namely : SSS,SAS,ASA,RHS
*Angles opposite to equal sides of a triangle are equal.
*Sides opposite to equal angles of a triangle are equal.
*If two sides of a triangle are unequal ,then the longer side has the greater angle
opposite to it.
--In a triangle , the greater angle has the longer side opposite to it.
--Sum of any two sides of a triangle is greater than the third side.
3.3 Concurrent Lines
--Concept of concurrent lines.
--Angle bisectors of a triangle pass through the same point.
--Perpendicular bisectors of the sides of a triangle pass through the same point.
--In a triangle the three altitudes pass through the same point.
--Medians of a triangle pass through the same point which divides each of the medians in
the ratio 2 : 1.
3.4 Quadrilaterals
--Quadrilateral and its types.
--Properties of special quadrilaterals viz. trapezium ,parallelogram ,rhombus , rectangle
,square.
--In a triangle , the line segment joining the mid points of any two sides is parallel to the
third side and is half of it.
--The line drawn through the mid point of a side of a triangle parallel to another side bisects
the third side.
--If there are three or more parallel lines and the intercepts made by them on a transversal
are equal, the corresponding intercepts on any other transversal are also equal.
--A diagonal of a parallelogram divides it into two triangles of equal area.
*Parallelograms on the same or equal bases and between the same parallels are equal in
area.
--Triangles on the same or equal bases and between the same parallels are equal in area.
--Triangles on equal bases having equal areas have their corresponding altitudes equal.
3.5 Similarity of Triangles
--Similar figures ,concept of similarity in geometry. Basic proportionality theorem and its
converse.
--If a line is drawn parallel to one side of a triangle , the other two sides are divided in the
same ratio.
--If a line divides any two sides of a triangle in the same ratio , it is parallel to the third side.
--Criteria for similarity of triangles : AAA, SSS and SAS .
--If a perpendicular is drawn from the vertex of the right angle of a triangle to its
hypotenuse , the triangles on each side of the perpendicular are similar to the whole
triangle and to each other.
--The internal bisector of an angle of a triangle divides the opposite side in the ratio of the
sides containing the angle.
--Ratio of the areas of two similar triangles is equal to the ratio of the squares on their
corresponding sides.
*In a right triangle ,the square on the hypotenuse is equal to the sum of the squares on the
other two sides (Baudhayan / Pythagoras theorem)
In a triangle ,if the square on one side is equal to the sum of the squares on the remaining
two sides ,the angle opposite to the first side is a right angle
( converse of Baudhayan /Pythagoras theorem)
3.6 Circles
Definition of a circle and related concepts. Concept of concentric circle.
Congruent circles :
--Two circles are congruent if and only if they have equal radii.
--Two arcs of a circle( or congruent circles) are congruent , if the angles subtended by them
at the centre(s) are equal and its converse.
--Two arcs of a circle( or congruent circles)are congruent ,if their corresponding chords are
equal , and its converse.
--Equal chords of a circle( or congruent circles) subtend equal angles at the centre(s) and
conversely , if the angles subtended by the chords at the centre of a circle are equal , then
the chords are equal.
--Perpendicular drawn from the centre of a circle to a chord bisects the chord.
--The line joining the centre of a circle to the mid point of a chord is perpendicular to the
chord.
--There is one and only one circle passing through three given non collinear points.
--Equal chords of a circle (or of congruent circles) are equidistant from the centre (centres)
and its converse.
3.7 Angles in a Circle and Cyclic Quadrilateral
The angle subtended by an arc at the centre is double the angle subtended by it at any
point on the remaining part of the circle.
*Angles in the same segment of a circle are equal.
Angle in a semi circle is a right angle.
Concyclic points.
*Sum of the opposite angles of a cyclic quadrilateral is 180o.
If a pair of opposite angles of a quadrilateral is supplementary , then the quadrilateral is
cyclic.
3.8 Secants , Tangents and their Properties
Intersection of a line and a circle. Point of contact of a line and a circle.
A tangent at any point of a circle is perpendicular to the radius through the point of
contact.
Tangents drawn from an external point to a circle are of equal length.
If two chords AB and CD of a circle intersect at P (inside or outside the circle),
then PA ´ PB = PC ´ PD
If PAB is a secant to a circle intersecting the circle at A and B, and PT is a tangent to the
circle at T, then PA ´ PB = PT2.
If a chord is drawn through the point of contact of a tangent to a circle , then the angles
which this chord makes with the given tangent are equal respectively to the angles formed
by the chord in the corresponding alternate segments.
3.9 Constructions
--Division of a line segment internally in a given ratio.
--Construction of triangles with given data:
(a) Construction of a triangle with given data : SSS , SAS , ASA , RHS
(b) perimeter and base angles (c) its base , sum and difference of the other two sides and
one base angle.(d) its two sides and a median corresponding to one of these sides.
--Construction of parallelograms , rectangles, squares , rhombuses and trapeziums.
--Constructions of quadrilaterals given :
(a) four sides and a diagonal (b) three sides and both diagonals
(c) two adjacent sides and three angles (d) three sides and two included angles
(e) four sides and an angle
--Construction of a triangle equal in area to a given quadrilateral.
--Construction of tangents to a circle from a point
(a) outside it
(b) on it using the centre of the circle .
--Construction of circumcircle and incircle of a triangle.
Scope and Approach : In this module an attempt would be made to answer the following
questions arising in our daily life.
--How do you find the length of the barbed wire needed to enclose a rectangular kitchen garden ?
--What is the cost of constructing two perpendicular concrete rectangular paths ?
--What is the area of the four walls of a room with given dimensions ?
--How much plywood is needed to be fixed on the top of a rectangular table ?
--The formulae for areas of plane figures would be taught in the first lesson.
In the second lesson , the surface and volume of the different solids ( three dimensional figures )
would be taken up and formulae given. Their applications to daily life situations would then be
taken up.
4.1 Area of Plane Figures
--Rectilinear figures. Perimeter and area of a square , rectangle ,triangle, trapezium ,
quadrilateral , parallelogram and rhombus.
--Area of a triangle using Hero's formula. Area of rectangular paths .
--Simple problems based on the above.
--Non rectilinear figures : Circumference and area of a circle.
--Area and perimeter of a sector.
--Area of circular paths. Simple problems based on the above.
4.2 Surface Area and Volume of Solids
--Surface area and volume of a cube , cuboid , cylinder , cone , sphere and hemisphere.
( combination of two solids should be avoided ).
--Area of four walls of a room.
Module 5 : Trigonometry Study time : 20 Hours Marks : 12
Scope and Approach : In astronomy one often encounters the problems of predicting the
position and path of various heavenly bodies ,which in turn requires the way of finding the
remaining sides and angles of a triangle provided some of its sides and angles are known. The
solutions of these problems has also numerous applications to engineering and geographical
surveys ,navigation etc. An attempt has been made in this module to solve these problems. It is
done by using ratios of the sides of a right triangle with respect to its acute angle called
trigonometric ratios. The module will enable the learners to find other trigonometric ratios
provided one of them is known. It also enables the learners to establish well known identities and
to solve problems based on trigonometric ratios and identities.
Measurement of accessible lengths and heights (e.g. height of a pillar, height of a house etc.) and
inaccessible heights ( e.g. height of a hill top, height of a lamp post on the opposite bank of a
river (without bridge),celestial objects etc. ) is a routine requirement. The learners will be able to
distinguish between angles of elevation and depression and use trigonometric ratios for solving
simple real life problems based on heights and distances , which do not involve more than two
right triangles.
5.2 Trigonometric Ratios of Some Special Angles
Trigonometric ratios of 30o,45o and 60o.
(Results for trigonometric ratios of 30o,45o and 60o to be proved geometrically)
Trigonometric ratios of complementary angles.
Application of these trigonometric ratios for solving problems such as heights and
distances( problems on heights and distances should not involve more than two right
triangles)
Module 6 : Statistics Study time : 35 Hours Marks :12
Scope and Approach : Since ancient times, it has been the practice by the householders ,
shopkeepers , individuals etc to keep records of their receipts, expenditures and other resources.
To make the learners acquainted with the methods of recording, condensing and culling out
relevant information from the given data, the learners would be exposed to the lesson on Data
and their Representation.
Everyday we come across data in the form of tables, graphs, charts etc on various aspects of
economy, advertisements which are eye catching. In order to read and understand these, the
learners would be introduced to the lesson on Graphical Representation of Data.
Sometimes we are required to describe data arithmetically like average age of a group median
score of a group or modal collar size of a group. To be able to do this, the learners would be
introduced to the lesson on Measures of Central Tendency. They would also be taught
characteristics and limitation of these measures.
'It will rain today', 'India will win the match against England', are statements that involve the
chance factor. The learners would be introduced to the study of elementary probability as
measure of uncertainty, through games of chance- tossing a coin, throwing a die , drawing a card
at random from a well shuffled pack etc.
6.2 Graphical Representation of Data
--Drawing of Bar charts, Histograms and frequency polygons.
--Reading and interpretation of Bar charts and Histograms. Reading and construction of
graphs related to day to day activities ;temperature – time graph ,pressure – volume graph
and velocity – time graph etc.
6.4 Introduction to Probability
--Elementary idea of probability as a measure of chance of occurrence of an event
( for single event only ) Problems based on tossing a coin ,throwing a die, drawing a card
from a well shuffled pack .
To download .zip file of Mathematics syllabus click on the following button |
"It makes alive the contents of the elements of mathematics." Albert Einstein
From the Publisher: Taking only the most elementary knowledge for granted, Lancelot Hogben leads readers of this famous book through the whole course from simple arithmetic to calculus.Explains mathematics from counting to calculus in the light of man's changing social achievements
Praise
Boston Book Review "If we could but make Lancelot Hogben's Mathematics for the Millions required reading in every high school in America, we could turn our innumeracy around in a short time." - Lucy Horwitz October 1997
Description:
Math''s infinite mysteries and beauty unfold in this follow up
to the best selling "The Science Book." Beginning millions of years ago with ancient "ant odometers" and moving through time to our modern day quest for new dimensions, it ... |
Office
About Us
Student Learning Goals
Goal #1: Mathematical Reasoning
Objectives: Students should be able to perform complex tasks, to discern patterns, to apply intellectually demanding and rigorous mathematical reasoning to formulate organized and cogent mathematical arguments.
Goal #2: Understanding the Breadth of Mathematics
Objectives: Students should possess an understanding of the breadth of mathematics and its interconnecting principles. Students should understand the interplay among applications, problem-solving, and theory. Students should be able to appreciate the different areas of mathematics and understand the relevance of mathematics to other disciplines. Students should be aware of the historical and contemporary context in which mathematics is practiced.
Goal #3: Mathematical Modeling
Objectives: Students should be able to apply their mathematical knowledge to a broad spectrum of complex problems. They should be able to solve multi-step problems and utilize current technology in so doing. Students should be aware of the process by which mathematical principles are applied to serve society.
Goal #4: Communicating Mathematics
Objectives: Students should be able to read, write, and speak mathematically. They should be able to work effectively in a group setting. They should have library and research skills sufficient to locate, analyze, synthesize, and evaluate information relating to their area.
(These learning goals are adapted from requirements of the Michigan Department of Education for certification of elementary teachers and elementary teachers with a minor in mathematics.)
Goal #1 Problem Solving
Students exhibit mature problem solving abilities.
Students recognize and use patterns, quantities, and spatial relationships that can represent phenomena, solve problems, and manage data.
Goal #2 Reasoning
Students make and evaluate mathematical conjectures and arguments and validate their own mathematical thinking.
Goal #3 Communication
Students use both oral and written discourse to develop and extend mathematical understanding.
Goal #4 Connections
Students demonstrate an understanding of mathematical relationships across disciplines and connections within mathematics.
Goal #5 Mathematical Content
Students know, understand and apply concepts, procedures, and reasoning in mathematics that define number systems and number sense, geometry, measurement, statistics and probability, and algebra.
Accreditation/Certifying Body: The Department of Mathematical Sciences' program for Secondary Teacher Certification (major and minor) and minor for Elementary Education follow NCATE/NCTM guidelines as well as requirements of the State of Michigan Department of Education. Other courses, such as the Calculus sequence, conform to ABET(Accreditation Board for Engineering & Technology) specifications.
Professional Organizations/Standards that informed development of learning outcomes:
Major and Minor programs of the Department of Mathematical Sciences follow guidelines developed by CUPM (Committee on the Undergraduate Program in Mathematics) of the Mathematical Association of America and guidelines of CBMS (Conference Board of the Mathematical Sciences) of the American Mathematical Society in cooperation with the Mathematical Association of America. |
A First Course in Mathematical Modeling Book
Brooks Cole; 3 edition | July 29, 2002 | ISBN: 0534384285 | 538 Pages | DJVU | 28 Mb This text provides an introduction to the entire modeling process. Throughout the book, students practice key facets of modeling, including creative and empirical model construction, model analysis, and model research. The authors apply a proven six-step problem solving process to enhance a student's problem solving capabilities. Rather than simply emphasizing the calculation step, the authors first ensure that students learn how to identify problems, construct or select models, and figure out what data needs to be collected. By involving students in the mathematical process as early as possible, beginning with short projects, the book facilitates their progressive development and confidence in mathematics and modeling.
keep visiting our site to download Science Technology free pdf books by rapidshare mediafire and to get A First Course in Mathematical Modeling fro megaupload or torrent. |
Abstract Algebra A Geometric Approach
9780133198317
ISBN:
0133198316
Pub Date: 1995 Publisher: Prentice Hall
Summary: Appropriate for a 1 or 2 term course in Abstract Algebra at the Junior level. This book explores the essential theories and techniques of modern algebra, including its problem-solving skills, basic proof techniques, many unusual applications, and the interplay between algebra and geometry. It takes a concrete, example-oriented approach to the subject matter.
Shifrin, Theodore is the author of Abstract Algebr...a A Geometric Approach, published 1995 under ISBN 9780133198317 and 0133198316. Four hundred ninety five Abstract Algebra A Geometric Approach textbooks are available for sale on ValoreBooks.com, one hundred ten used from the cheapest price of $43.37, or buy new starting at $105 |
Saxon Math programs are designed and structured for immediate, measurable and long-lasting results. By employing a proven method of incremental development and continual review strategies, each piece of supplementary curriculum provides time to practice, process and learn beyond mastery.
Ideal for homeschool families who already own the full Math Intermediate 3 texts, this Testing Book contains tests, a testing schedule, test answer forms, test analysis form and test solutions.
Product:
Saxon Math Intermediate 3: Homeschool Testing Book
Compiled by:
Hake
Vendor:
Saxon/Harcourt
Binding Type:
Paperback
Media Type:
Book
Minimum Age:
8
Maximum Age:
10
Minimum Grade:
3rd Grade
Maximum Grade:
5th Grade
Number of Pages:
38
Weight:
0.3 pounds
Length:
8.1 inches
Width:
10.6 inches
Height:
0.2 inches
Publisher:
Saxon Home School
Publication Date:
May 2011
Subject:
Math
Curriculum Name:
Saxon
Learning Style:
Auditory, Kinesthetic, Visual
Teaching Method:
Charlotte Mason, Classical, Traditional, Unit Study, Unschooling
There are currently no reviews for Saxon Math Intermediate 3: Homeschool Testing Book.
I have found Saxon Math to be very thorough. I have used Saxon 1, 2, 3 and 5/4 now. Thus far, we have been very pleased with the curriculum. It allows me, the teacher to move a quickly or as slowly as the student needs. I am able to use the tests and assessments included in the student workbook to determine where to place the child and to even skip ahead if needed so that valuable time is not spent on things already mastered. The Teachers Manual is able to be reused with other students, but we always purchase a new workbook for each new student. The price of the workbooks are very reasonable.
I used to use Saxon years ago and for some reason we chose to venture out and try other options such as math u see, switched on school house, video text, singapore math (I can't remember if we tried others). After 13 years of homeschooling I have to say there is no other foundational math I would ever consider using in the k-6 range other than saxon. Some say it is repetitive........but I find the children need reinforcement. If there is anything that the child does not learn in saxon it is not due to the curriculum. I wanted to mention we always had high test scores when using saxon as well. We usually used the level higher than where the child should be (for instance....my child is in 5th grade we would start with the 6th grade equivalent. |
Give your students the text that makes algebra accessible and engaging - McKeague's "Elementary Algebra, 9th edition, International Edition". Pat ...Show synopsisGive your students the text that makes algebra accessible and engaging - McKeague's "Elementary Algebra, 9th edition, International Edition". Pat McKeague's passion for teaching mathematics is apparent on every page, and this Ninth Edition continues to provide students with a thorough grounding in the concepts central to their success in mathematics. Attention to detail, an exceptionally clear writing style, and continuous review and reinforcement are McKeague hallmarks that constitute the solid foundation of the text, while new pedagogy help students 'bridge the concepts.' These 'bridges' guide students and help them make successful connections from concept to concept-and from this course to the next. "Elementary Algebra, 9th edition, International Edition" is one of the most current and reliable texts you will find for the course, and is ideally structured and organized for a lecture-format. Each section can be discussed in a 45- to 50-minute class session, allowing you to easily construct your course to fit your needs.Hide synopsis
Description:New. 571 p. **Please Read** This is NOT the student edition! It...New. 571 p. **Please Read** This is NOT the student edition! It is an Annotated Instructor's Edition. Contains the COMPLETE STUDENT TEXT plus answers and instructor commentary. No supplemental materials. "Free Copy" markings on front and back covers. Expedited |
Questions About This Book?
The Used copy of this book is not guaranteed to inclue any supplemental materials. Typically, only the book itself is included.
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Normal 0 false false false MicrosoftInternetExplorer4 Lial/Hornsby/McGinnisrs"sIntermediate Algebra,8e, gives students the necessary tools to succeed in developmental math courses and prepares them for future math courses and the rest of their lives. The Lial developmental team creates a pattern for success by emphasizing problem-solving skills, vocabulary comprehension, real-world applications, and strong exercise sets. In keeping with its proven track record, this revision includes an effective new design, many new exercises and applications, and increased Summary Exercises to enhance comprehension and challenge studentsrs" knowledge of the subject matter. Review of the Real Number System; Linear Equations and Applications; Linear Inequalities and Absolute Value; Graphs, Linear Equations, and Functions; Systems of Linear Equations; Exponents, Polynomials, and Polynomial Functions; Factoring; Rational Expressions and Functions; Roots, Radicals, and Root Functions; Quadratic Equations, Inequalities, and Functions; Exponential and Logarithmic Functions; Nonlinear Functions, Conic Sections, and Nonlinear Systems For all readers interested in intermediate algebra. |
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Getting Started with MATLAB 7: A Quick Introduction for Scientists and Engineers (The Oxford Series in Electrical and Computer Engineering)
by:Rudra Pratap...
Show More high-performance numerical computation and visualization, is one of the most widely used tools in engineering field today. Its broad appeal lies in its interactive environment with hundreds of built-in functions for technical computation, graphics, and animation. In addition, it provides easy extensibility with its own high-level programming language. Enhanced by fun and appealing illustrations,Getting Started with MATLAB 7: A Quick Introduction for Scientists and Engineers employs a casual, accessible writing style that shows users how to enjoy using MATLAB |
Utah Valley University
Full course description
This course is designed primarily for students who will be starting or restarting college within the next year. It will provide math refresher materials covering a wide range of mathematical concepts together with information about success in college.
Incoming college students are typically placed in college math courses based on placement exam scores. Students often take these placement exams with minimal preparation or after a long break since their last math class. The study materials in the course will help students prepare for placement exams, and higher scores mean fewer required math courses in college. Students who have already taken a placement exam (such as the ACT) can also use these materials to study and then retest, hopefully scoring higher. The course will also be valuable for anyone who just wants to refresh their math skills. The provided study materials are individualized based on a student's current knowledge. Each student will be provided a customized learning path that maximizes efficiency so that study time is spent where it's needed most.
Beyond math content, the course will also provide college success material such as test-taking strategies, new student orientation, and study techniques. All of this material can be accessed separately from the math content so even if a student is already placed highly in math, or has tested out of it completely, the course will provide valuable information to help the student orient to college and to get the most out of the college experience.
Keith White
Associate Professor of Developmental Math
Keith White is an Associate Professor of Developmental Mathematics. He has taught developmental math for several years, including numerous online courses. He has presented about numerous topics in developmental math, and enjoys the opportunity to help students be successful in math. |
Maplesoft recently announced the next release of Maple T.A., the company's popular assessment technology tool. Maple T.A. 4.0 provides full support for question content in international languages, thus expanding the reach of the product to non-English speaking students.
Users will also have access to the Maple T.A.™ 4.0 Building Block™ for Blackboard Learning System™ , an add-on product that allows customers to use Maple T.A. directly from inside their Blackboard® classes.
"Assessment technology takes on new dimensions with every release of Maple T.A.," said Jim Cooper, President and CEO, Maplesoft. "With every new feature, it becomes easier, more convenient, and cost effective to make tests and assignments available online. Teachers get more time to concentrate on other tasks and students get immediate feedback, making this product a wise investment."
"Mathematics is not old or static; it is alive and students need to experience it," exclaims Professor Laureano Gonzalez-Vega, describing his philosophy on math education. In his years of teaching, Prof. Gonzalez-Vega has realized that students spend a lot of time trying to understand the mathematic and scientific formulas that are the basis for concepts in scientific or engineering programs, often without much success. He introduced Maple in his courses and Prof. Gonzalez-Vega noticed positive changes in his students' approach and in their results. With the new software, the students found it much easier and faster to solve problems and understand the mathematics.
In 1902, Henry Ernest Dudeney posed the problem of cutting an equilateral triangular region into 4 pieces that can be rearranged to form a square region. His published solution notes that the pieces can be hinged so as to smoothly rotate from one form to the other. We use Maple packages in linear algebra, geometry, and plotting to construct a picture of the pieces, and then animate the construction.
Maple 12's unique blend of computational power and ease-of-use makes it an essential tool for mathematics and modeling. Its smart document environment provides revolutionary Clickable Calculus™ and Clickable Engineering™ techniques for solving problems from any technical discipline, ensuring that students are instantly productive and engaged. The results can be incorporated in rich, interactive, live documents that are as professional-looking as a textbook.
In Part 2 of this two-part Webinar, Dr. Robert Lopez explores exact and approximate solutions of a damped oscillator driven by a saw-tooth input; convolution; the Lagrange multiplier technique; temperatures in the exterior wall of a house; and the root locus. He will show how the discursive treatments of these calculations taken from his Advanced Engineering Mathematics e-book can be adapted to the new interface tools in Maple.
Currently in pilot testing, MapleSim is a modeling and simulation software that derives numerically efficient models of complex systems using an intuitive block-diagram approach to defining system models.
MapleSim, a new multi-domain modeling and simulation system, offers significant reduction in model development time and runtime performance from traditional systems. Distinct from traditional math and simulation software, MapleSim offers automatic derivation of model equations for more effective and engaging virtual simulations and exercises, dramatically more efficient models for real time simulations in research, and direct application to the emerging modeling problems in industry.
Clickable Calculus: Pre-Calculus, and Calculus of One and Several Variables August 20, 2008 2:00 pm EDT.
Join Dr. Robert Lopez as he explores Maple 12's remarkable set of user-interface features that makes common mathematical operations as easy as pointing and clicking. In this session, Dr. Lopez will solve a spectrum of standard (and not-so-standard) problems drawn from Pre-Calculus, and Calculus of one and several variables.
Introduction to Maple T.A. 4.0 August 28, 2008 2:00 pm EDT.
Maple T.A. 4.0, the newest version of Maplesoft's web-based testing and assessment system, includes a wide variety of enhancements and new features. This interactive session will provide an overview of the new and improved features in the latest release.
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In a review of Maple 12, Bill Fane, the reviewer, says Maple is no longer for scientists and mathematicians alone and that in the last 20 years Maple has developed an amazing repertoire of functionalities.
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The use of Maple in the geophysics area is highlighted in an article published by the magazine of the Canadian Society of Exploration Geophysicists. The article discusses how a general tool such as Maple can be applied in a highly specialized context.
In addition to these articles, check out the Media Center for all the latest coverage on Maplesoft.
You are receiving this newsletter in an effort to keep you up-to-date on the latest developments at Maplesoft. To manage subscriptions or to opt out of all commercial email communications from Maplesoft, please click here. To view our privacy policy, click here. |
Contact Info
Mission & Goals
Mission Statement
Our mission is to provide quality academic programs in mathematics that will allow
students to prepare for graduate work and for employment in mathematics-related positions.
Students will develop their analytical and problem solving skills while learning about
the beauty of mathematics. In addition to providing specific content knowledge in
mathematics, the mathematics program will develop the strong communication skills
that are necessary in today's society. We will also strive to provide courses that
will serve the needs of other departments and programs within the college.
Goals
Communication
Students should be able to read and understand mathematical statements as well as
express mathematical ideas with precision and clarity both orally and in writing.
Content
Students should know the fundamental concepts, definitions, theorems and techniques
of calculus and linear algebra. In addition, students should demonstrate competence
in several specific areas of both pure and applied mathematics.
Problem Solving/Reasoning
Students should be able to reason mathematically using graphical, numerical, and symbolic
points of view, write sound proofs, and use technology appropriately to solve mathematical
problems.
Connection
Students should be able to synthesize material from multiple perspectives and make
connections between different areas of mathematics.
Independent and Collaborative Learning
The department acknowledges the importance of working together in teams to solve complex
problems, and at the same time we hope to develop a culture of independence so that
students will be able to approach and solve problems independently. Students will
demonstrate skills in both of these areas. |
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Starting at $3316Student Solutions Manual for Parks/Musser/Trimpe/Maurer/Maurer's A Mathematical View of Our World
Summary
A MATHEMATICAL VIEW OF OUR WORLD helps students understand and harness the power of mathematics in their present studies and future careers. Designed for a liberal arts mathematics course that has a strong focus on applications, this student-friendly textbook helps students see the beauty and power of mathematics as it is applied to the world around them. Recognizing that quantitative literacy is essential in an increasing number of professional fields as well as in the daily decision-making and communication of informed citizens, the book develops students' mathematical self-confidence and prepares them to use mathematics in the future. In writing the book, the authors endeavored to be faithful to the recommendations of such professional mathematics associations as the MAA, AMATYC, and NCTM. Overall, students will recognize the connections, patterns, and significance of the mathematics they study, and see that mathematics has a meaningful place in their lives. |
Featuring humor, easy-to-understand explanations, and silly illustrations, Life of Fred is guaranteed to make your math studies come alive! Each text is written as a novel, including a hilarious story line based on the life of Fred Gauss. As Fred encounters the need for math during his daily exploits, he learns the methods necessary to solve his predicaments – plus loads of other interesting facts! Filled with plenty of solved examples, each book is self-teaching and reusable – perfect for families full of learners.
Introduce your students to Fred today and see how his fun, lighthearted approach to learning is revolutionizing mathematics!
Since Life of Fred: Trigonometry was first published, there have been requests from home schoolers, teachers and adults who are learning trig. This book is a response to those needs. It offers you 94 daily readings. Each one tells you what part of the book you'll be covering. Lots of the lessons include new problems not in the LOF book. These can serve as your lecture notes or as material for pop quizzes or for tests. The answers are also supplied to these problems. Finish all of these problems in addition to the ones in LOF and you should be able to join Fred as a professor of mathematics.
Product:
Fred's Home Companion: Trigonometry - Grades 10-12
Vendor:
Z Twist Books
Minimum Grade:
10th Grade
Maximum Grade:
12th Grade
Weight:
1.93 pounds
Length:
10.25 inches
Width:
7 inches
Height:
0.5 inches
Subject:
Math
Learning Style:
Kinesthetic, Visual
Teaching Method:
Charlotte Mason, Unit Study, Unschooling
There are currently no reviews for Fred's Home Companion: Trigonometry - Grades 10-12. |
Summary: Beginning and Intermediate Algebra with Applications and Visualization offers an innovative approach to the beginning and intermediate algebra curriculum that allows students to gain both skills and understanding. This text not only prepares students for future mathematics courses, but it also demonstrates to students the relevance of mathematics. This approach increases student interest, motivation, and the likelihood for success. Many students think in visual, conc...show morerete terms and not abstractly. This text helps students learn mathematics better by moving from the concrete to the abstract. It makes use of multiple representations (verbal, graphical, numerical, and symbolic), applications, visualization, and technology. ...show less
Numbers, Variables, and Algebraic Expressions. Fractions. Exponents and Order of Operations. Real Numbers and the Number Line. Addition and Subtraction of Real Numbers. Multiplication and Division of Real Numbers. Properties of Real Numbers. Simplifying and Writing Algebraic ExpressionsAcceptable
Better World Books Mishawaka, IN
Book has some water and binding57 |
Product Details
Proofs Without Words II by Roger B. Nelsen
Like its predecessor Proofs without Words, published by the MAA in 1993, this book is a collection of pictures or diagrams that help the reader see why a particular mathematical statement may be true, and also to see how one might begin to go about proving it true. The emphasis is on providing visual clues to the observer to stimulate mathematical thought. In this volume you find modern renditions of proofs without words from ancient China, tenth century Arabia, and Renaissance Italy. While the majority of the proofs without words in this book originally appeared in journals published by the MAA, others first appeared in journals published by other organizations in the US and abroad, and on the World Wide Web. The proofs in this collection are arranged by topic into five chapters. Although the proofs without words are presented primarily for the enjoyment of the reader, teachers will want to use them with students at many levels-in precalculus courses in high school, in college courses in calculus, number theory, and combinatorics, and in pre-service and in-service classes for teachers. |
Bringing New Ideas into Focus: Image Quality Analysis with Mathematica
Fritz LebowskyChannels: Image ProcessingThis Wolfram Mathematica Virtual Conference 2011 course explores the depth of Mathematica's image processing capabilities, how they integrate with other features, and how they can be combined to create powerful interactive tools.Learn how Wolfram technologies like Mathematica and Wolfram|Alpha are used in image processing. This video features visual examples of how Wolfram technologies are advancing digital image processing for analyzing and manipulating image data.
Luc Barthelet shows an example of how to solve a Rubik's Cube from pictures to introduce some of the computation and image processing capabilities of Mathematica in this talk from the Wolfram Technology Conference.
This video discusses how to apply Mathematica's large range of image processing tools to problem solving in several different application areas. Markus van Almsick demonstrates Image processing tasks, including some not-so-serious examples.
This video explains the principles of volume rendering and the art of constructing the right transfer functions. Markus van Almsick explores the drawbacks and extravagant possibilities of this new visualization modality and applies it to real-world data. |
Math.NET aims to provide a self contained clean framework for symbolic mathematical (Computer Algebra System) and numerical/scientific computations, including a parser and support for linear algebra, complex differential analysis, system solving and more |
High School Mathematics Extensions is aimed at, but not limited to, 14 to 18 year olds who are interested in mathematics in general. Several interesting topics not covered in the standard high school curriculum are introduced in this text.
Guacamole is a spicy Mexican paste made from crushed avocado and various seasonings, usually including onions, peppers, garlic and tomatoes. Guacamole is used as a condiment, an ingredient, and as an appetizer when served with tortilla chips. |
BEGINNING ALGEBRA
BEGINNING ALGEBRA
2014 Winterim
4 Units
Mathematics 41
A course for those who have a sound background in basic arithmetic, but who have not been exposed to algebra, or who need to strengthen their basic algebra skills. Topics include properties of the real numbers, linear and quadratic equations, linear inequalities, exponents, polynomials, rational expressions, the straight line, and systems of linear equations. The course counts towards the semester credit load and will be computed into the grade point average. It will not, however, be included in the credits necessary for graduation. It may be taken for a conventional grade or on a satisfactory/no credit basis.
Prereq: 760-040 or equivalent demonstration of capability. Students cannot receive credit for 760-041 if they have been waived from the Mathematics Proficiency Requirement. Not available to students who have satisfied the University Proficiency requirement in mathematics.
Other Requirements: PREREQ: MATH O40 OR ITS EQUIVALENT
Class Schedule
There are no sections offered for this course and term that meet your criteria. |
Further Maths Practice Book - New GCSE Maths (Paperback)
Aimed at Level 2 maths work and suitable to support the AQA Level 2 Certificate in Further Mathematics. Guide students through higher level maths work with this handy practice book, featuring short topic explanations, worked examples and loads of graded practice exercises that will stretch and challenge. *Introduce new concepts with ease with explanations, key reminders and worked examples for each topic *Consolidate learning with lots of brand new graded exercises, written by established Collins author, Trevor Senior *Challenge your most able students with questions that tackle the new A* with Distinction grade *Prepare students for their exams with challenging problem-solving and exam-style questions *Answers online |
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