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Book DescriptionI have taught Calculus at the University level for well over 20 years now. When I first arrived, the school had already adopted the 1st edition of Anton's Calculus, and the school (and myself) have liked it so much that we have stuck with Anton for 20 years, until 2000. For some reason, the Math Department has decided to change to Stewart's book. Let me tell you, Anton's book is most certainly the best. The examples actually explain the concept, the concepts are explained coherently in words before the mathematics is presented, graphs are abundant where necessary, and the book eases students into Calculus. I have found that deficiencies in trigonometry plague students through the calculus sequence. Mr. Anton provides a thorough review in Appendix 1, which clears up the problems. Also, Chapter 1 is a review of Algebra and Coordinate Geometry. This gets students into a mental framework necessary to learn Limits (Chap 2), Differentiation (Chaps 3-4), Integration (Chaps 5-6), Logs and Exponential Functions (Chap7), etc. My ONLY complaint about this book is the way Anton leaves logs and the number e out until Chap 7. Students are expected to learn it all at once, where I feel it would be better distributed throughout the exercise sets. But, again, that is my ONLY complaint. IF YOU WANT YOUR STUDENTS TO BE SUCCESSFUL IN CALCULUS, CHOOSE THIS TEXT. It truly beats the pants off Stewart's book!
After taking differential calculus, integral calculus, and elementary differential equations, I took a year off of college. Then when I came back, I had forgotten alot of things concerning those courses. Well, I bought this book because it had the most pages and seemed to cover the most information. Well, it was a good buy! It covered ALL of the material that I had covered in those 3 previous courses. It was a great book for refreshing my memory. This would also be a great book for learning calc for the first time also.
Anton's Calculus textbook is the best I have ran across. It is a fantastic text, most of the proofs are worked out and for the most part easy to follow. His writing style is clear and extensive in which he avoids being dense which is a common pitfall in many math textbooks.. (Especially Calculus.) The problems are generally the right difficulty, and the examples are generally very good. He spends a lot of time concentrating on concepts over computational techniques. Paraphrasing, I completely agree with his preface in which its more important to understand the concepts. . . because every problem in the book has been computationally solved, understanding the concepts is the most important thing. This is especially true of the at times esoteric and difficult subject of vector calculus at the end of the text. Anton also integrates (no pun intended) the use of CAS and graphing calculators in his text. The down side to the book is probably its price. It is a very expensive book! As good as this book is, Calculus is a hard subject matter. the textbook alone is not enough. Supplement it with a great teacher and a lot of hard work and one should learn calculus very well.
To add a bit more information to the raw data of these reviews, I've mapped the universe of all possible readers of this book onto a set of x-y axes. Let the x-axis run from "non-Math-types" up through "Math-types." Let they y-axis go from "non-geniuses" up through "geniuses:"
- Quadrant I: genius Math-types will probably be both irritated and bored with this book. Their irritation will spring from the fact that not all of the pure-math proofs they'll be looking for are here. The book focuses more on explaining and doing calculus than on proving it. Most of the material is proven (properly: no missing steps), but the proofs that would get in the way of doing calculus are omitted. Quadrant Is will be bored because the author does his best to pound on a topic until practically everyone can understand it. Genius math-types, since they're inherently capable of grasping this material from proofs alone, will not be pleased by this repetition. For Quadrant Is, some version of Tom M. Apostol's Calculus books (ISBNs 9686708103, 842915003X, 8429150013, 0471000051, 0471503037, 0471000078, or 0471000086) would be a better text.
- Quadrant II: genius non-Math-types will probably prefer the fact that the author skipped some proofs in favor of applications. However, like the Quadrant Is, they'll probably be somewhat bored by the author's "slowness" in moving on after he introduces a topic. This book will be OK for them, but they'd probably prefer a more "terse" presentation. Unfortunately, I don't have any recommendations for such a book.
- Quadrant III: non-genius non-Math-types (i.e., "normal" people), will find this book just right. As noted above, the author's focus is on teaching and using calculus, not *necessarily* on proving it. If the proofs are complex enough that they'd distract from that mission, they're either relegated to Appendix G or omitted (though most proofs are present). Best of all, the author doesn't skip steps in his proofs: all the steps are there in their detailed glory. Later in the book, he will occasionally skip a simplification of an expression, but none of the "proof" material is missing. In the latter half of the book, he sometimes does the "proof is left as an exercise for the student" routine, but those are for non-essential proofs. After the author introduces a topic/theorem/method, he always gives multiple (at least three) examples. So, if the readers are having trouble with the equations and proofs, they'll have several chances to figure out what he means from the examples. Also, all the odd problems have answers in the back of the book. There are no steps included with the answers, but usually that's not a problem (since there are so many examples in the book). I also found the appendices giving explanations of pre-Calculus math facts very useful: it's been a long time since I've seen those things, so I needed the refresher.
- Quadrant IV: non-genius Math-types will join the Quadrant Is in disliking the skipping of several proofs, but, like the Quadrant IIIs, will be pleased with the thorough, step-by-step nature of the existing proofs. Not the best choice of a textbook for them, but for those who are having trouble with a "pure math" Calculus book, this is a good supplement.
Overall, this is an excellent book (I rate it 5 stars out of 5). The author did a wonderful job matching his material to his chosen audience (Quadrant III, "normal" people). For non-genius non-math-types, I highly recommend it. For genius non-math-types and non-genius math-types, it's OK. Genius math-types should avoid it and try something like Apostol's Calculus.Read more ›
Our school used this book for calc 3 and I'm very happy with the selection. Our teacher taught the theory part of the material. He rarely taught how to do the work (he relied on the book to do that and it was very understandable and taught well). The teacher's theory helped to get the material to our long term memories so hopefully your teachers' are using the same method. So if you need a book to show you how to work through the problems of Calc 3, buy this one, it'll do the job. |
Math Study Skills
9780321513076
032151307X
Summary: This mathematics study skills workbook outlines good study habits and provides students with suggested study strategies, time management, organizational, and test-taking tips.
Bass, Alan is the author of Math Study Skills, published 2007 under ISBN 9780321513076 and 032151307X. Two hundred eighty four Math Study Skills textbooks are available for sale on ValoreBooks.com, one hundred seventy three used from t...he cheapest price of $0.01, or buy new starting at $0 |
Calculus And Its Applications - 2nd edition
Summary: Building on the proven success of its previous edition, Calculus and Its Applications, Second Edition helps students across the curriculum discover the excitement and relevance of applied calculus. Retaining his integrated problem-solving approach, the author engages students in the learning process by carefully discussing key questions, determining equations, and demonstrating the relation between the final solution and the original problem.
6.1. Antidifferentiation 6.2. Some Applications of Antidifferentiation 6.3 The Definite Integral as the Area Under a Curve 6.4 The Fundamental Theorem of Calculus 6.5 Some Applications of the Definite Integral 6.6. Surplus 6.7. Area in the PlaneWonder Book Frederick, MD
Good condition. Lightly Dampstained9040 +$3.99 s/h
New
bargainforce Naperville, IL
0395776848 New. Looks like an interesting title!
$117.83 +$3.99 s/h
New
Books Revisited Chatham, NJ
Brand New Item. |
5th Edition
Level 4-5, 2nd Edition
The definition and solution of engineering problems relies on the ability to represent systems and their behaviour in mathematical terms.Mathematics for Electrical Technicians 4/5 provides a simple and practical guide to the fundamental mathematical skills essential to technicians and engineers....
3rd Edition
A student-friendly introduction to core engineering topics
This book introduces mechanical principles and technology through examples and applications rather than theory. John Bird and Carl Ross do not assume any previous background in engineering studies, and as such this book can act as a core7th Edition
A practical introduction to the core mathematics required for engineering study and practice
Now in its seventh edition, Engineering Mathematics is an established textbook that has helped thousands of students to succeed in their exams.
John Bird's approach is based on worked examples and...
6th Edition
Introductory mathematics written specifically for students new to engineering
Now in its sixth edition, Basic Engineering Mathematics is an established textbook that has helped thousands of students to succeed in their exams.
John Bird's approach is based on worked examples and interactive problems...
7th Edition
A practical introduction to the core mathematics principles required at higher engineering level
John Bird's approach to mathematics, based on numerous worked examples and interactive problems, is ideal for vocational students that require an advanced textbook.
Theory is kept to a minimum, with the...
5th Edition
This much-loved textbook introduces electrical and electronic principles and technology to students who are new to the subject.
Real-world situations and engineering examples put the theory into context. The inclusion of worked problems with solutions really help aid your understanding and further...
5th Edition
This much-loved textbook explains the principles of electrical circuit theory and technology so that students of electrical and mechanical engineering can master the subject.
Real-world situations and engineering examples put the theory into context. The inclusion of worked problems with solutions...
Studying engineering, whether it is mechanical, electrical or civil relies heavily on an understanding of mathematics. This new textbook clearly demonstrates the relevance of mathematical principles and shows how to apply them to solve real-life engineering problems.
It deliberately starts at an... |
Life, mathematics teaching
Category Archives: MaximaWhen I use Maple with my first year students, and we are experimenting with integration, I challenge them to produce a function which Maple can't integrate in closed form. Given the huge number of special functions in Maple, and my
When I use Maple with my first year students, and we are experimenting with integration, I challenge them to produce a function which Maple can't integrate in closed form. Given the huge number of special functions in Maple, and my |
COMAP, the Consortium for Mathematics and Its Applications, is an award-winning non-profit organization whose mission
is to improve mathematics education for students of all ages. Since 1980, COMAP has worked with teachers, students, and
business people to create learning environments where mathematics is used to investigate and model real issues in our world.
Written specifically for high school courses, Discrete Mathematics: Modeling Our World is a new fourth edition of the formerly titled Discrete Mathematics Through Applications. It is designed to help you implement mathematical modeling in your classroom, in a way that promotes active learning, critical thinking, and fully-engaged student participation. With this text, students will see the connections among mathematical topics and real-life events and situations, while sharpening their problem solving, mathematical reasoning and communication skills.
This new edition adds material on codes, logic, set notation, bin packing, and linear programming. New Features of the fourth edition:
• The first full-color edition.
• Updated data and news articles throughout.
• An increased emphasis on mathematical modeling.
• A new chapter on codes.
• The appendices of the third edition have been expanded into a tenth chapter with sections on logic, set notation, bin packing, and linear programming.
• A supplemental chapter on statistics will be available separately or as an eleventh chapter through custom publishing.
• A single electronic teacher disc that includes the student text in PDF format as well as answers, teacher notes, blackline masters, software, and test questions.
• A DVD containing all COMAP videos that are referenced in the teacher notes for each chapter. Learn More
Mathematics as a Second Language Glossary
The Mathematics as a Second Language Glossary features mathematical terms defined in both English and Spanish
with accompanying examples and/or drawings and is now available in epub format for the Amazon Kindle and Apple EReaders.Learn More
Dynamic College Algebra
Dynamic College Algebra uses a modeling approach built around applications from technical fields such as semiconductor manufacturing and biotechnology. Each chapter begins with an engaging contextual problem that students explore in class or on their own via an Adobe Air simulation. Reflecting the realities of modern technical careers, Dynamic College Algebra integrates data analysis and spreadsheet technology throughout. Learn More
Mathematics: Modeling Our World (MMOW)
Course 1, 2 & 3
Based on feedback from users of the first edition, COMAP has completed a major revision of Courses 1-3, now available in both print and CD-ROM.
• Some chapters are completely rewritten (i.e., Pick a Winner and Landsat, which is now titled Scene from Above). Other chapters are streamlined while retaining the thematic, modeling approach. • Most chapters are shorter. The revised Course 1 has a total of 57 Activities— a 39% reduction from first edition's 93.
Learn More
Consortium Free Download Page
Consortium, published twice
a year and available electronically,
blends contemporary teaching activities with commentaries,
articles and contests to bring the excitement of mathematical
modeling to high school classrooms. Each issue contains
the Pull-Out
section, a reproducible classroom activity centered on a real-world
modeling problem. Recent Pull-Out
lessons have modeled a wide range of topics including the
genetics of sickle cell anemia and the accuracy of the Patriot
Missile System.
Starting with issue 104 COMAP has decided to make theConsortium available as a free download. Learn More
NEW FREE course material A Course in Financial Mathematics
This is a free course in financial mathematics for upper high school and undergraduate students, with emphasis on personal finance. Teachers can make their own selections. Some of the lessons are articles published in various journals. Some are unpublished. This collection contains over forty lessons. A teacher can simply download and print a PDF, make copies, distribute them to students, and teach the lesson. Learn More |
9781568812 by Experiment: Plausible Reasoning in the 21st Century
This new approach to mathematics---the utilization of advanced computing technology in mathematical research---is often called experimental mathematics. The computer provides the mathematician with a "laboratory" in which she can perform experiments---analyzing examples, testing out new ideas, or searching for patterns. This book presents the rationale and historical context of experimental mathematics, and includes a series of examples that best portray the experimental methodology. For more examples and insights, the book, "Experimentation in Mathematics: Computational Paths to Discovery" is a highly recommended |
Students will learn about function definition and proper notation, domain and range, continuity, increasing and decreasing, boundedness,local and absolute extrema,symmetry, asymptotes, and end behavior. There is a SmartBoard Lesson, a Foldable, and all answer keys included. |
Praxis II Middle School Mathematics (0069) 2nd Ed. [NOOK Book]More About
This BookWritten by mathematics experts, this comprehensive review guides you through all the mathematics categories tested on the exam: arithmetic and basic algebra, geometry and measurement, functions and graphs, data probability and statistical concepts, discrete math, and mathematical reasoning.
Three full-length practice tests simulate the actual PRAXIS exam. Each practice test is balanced to include every type of question, subject area, and skill tested on the exam. Every practice test comes with detailed feedback on every question. We don't just say which answers are right—we explain why the other answer choices are wrong—so you'll be prepared on test day. This complete test prep package comes with a customized study schedule and REA's test-taking strategies and tips.
Related Subjects
Meet the Author
Mel H. Friedman, M.S., is REA's Lead Mathematics Editor. He has a diversified background in mathematics and has developed test items for Educational Testing Service. His teaching experience is at both the high school and college |
Welcome to the Online Math Center
Whatcom Community College's Online Math Center is available to provide free access to a wide range of resources related to mathematics, its application, technology, and mathematics education.
We hope that you find the resources you need to be a successful math student at WCC!
WHATCOM MATH PLACEMENT
Information related to Whatcom's Math Placement Test may be found under Learning Math (then scroll down to WCC Math Placement Info). Questions regarding Math Placement Tests should be directed to the Entry & Advising Center at 360.383.3080 or the Testing Center at 360.383.3052. Prospective Running Start students should contact the Running Start Office at 360.383.3123 or rstart@whatcom.ctc.edu for a testing appointment.
WHATCOM MATH CENTER Get help individually with your math classes. This video directs you to the location and services of the Whatcom Math Center.
MATH LEAGUE CONTEST
The American Mathematical Association of Two-Year Colleges conducts a mathematics contest every year, the AMATYC Student Math League, giving one test in the fall and one in the spring. Any two-year college student, full or part time, who has not earned a two-year college or higher degree is eligible to participate.
The level of the tests is Precalculus mathematics. Questions may involve precalculus algebra, trigonometry, synthetic and analytic geometry, and probability. Questions are short answer or multiple choice. Students are permitted to use any scientific or graphics calculator which does not have a regular computer keyboard (a QWERTY Keyboard). |
engage Advantage Books: Intermediate Algebra
This traditional, straight-forward, extremely popular book helps students learn algebra concepts-by using a one-step, one-concept-at-a-time approach. ...Show synopsisThis traditional, straight-forward, extremely popular book helps students learn algebra concepts-by using a one-step, one-concept-at-a-time approach. All major topics are divided into small sections, each with its own examples and often with its own exercises--an approach that helps students master each section before proceeding on to |
... in the new GPS curriculum and textbooks were ... to take the equivalent of 10th grade math a ... already because they took Honors Geometry when they were in 8th grade in ...
This course does not necessarily have to be completed in the 9th Grade, but this ... 2 Algebra I Geometry Algebra II Advanced Mathematics Calculus Algebra I online Geometry ...
This course does not necessarily have to be completed in the 10th Grade, but this ... 2 Algebra I Geometry Algebra II Advanced Mathematics Calculus Algebra I online Geometry ...
... provides comprehensive practice with the math benchmarks tested on the 10th grade FCAT. ... assignment is meant to review topics for the FCAT Strands: Measurement and Geometry ... School Math Crunch Time Packet.pdf
In geometry, the knowledge students acquired in Grade 8 about the properties of two-dimensional shapes is ... ways of working in mathematics; previewing of textbooks; pre ...
Students taking Geometry or Algebra II in eighth grade or via ATYP have beendicult to place at times ... Textbooks The primary textbooks used will be: Calkins, Keith G. Numbers ...
Examining the Everyday Mathematics textbooks for K - 5 I did not find the ... I do this experiment with my tenth gradegeometry class and the students thoroughly ...
(in arithmetic, algebra, geometry) cohere into an ... created by the language used in textbooks, especially at ... can be disputes over what gets taught at which grade, |
Why is teaching general relativity so difficult? It's not only a theory of gravity; it is a theory of the structure of space and tiem, and hence a theory of the dynamics of the entire universe. Thus, the theory is a vast edifice of pure geometry--indisputably elegant but extremely difficult mathematically, especially for undergraduate students. ... Using some simple Excalc procedures, this article illustrates how to teach Riemannian geometry and how to use computer algebra to obtain some exact solutions of Einstein equations. |
Find a North Riverside, IL GeThis syntax makes it ideal for performing scalable computations on machines in a memory-efficient way. I received A's in linear algebra in high school and multiple undergraduate classes. Classes such as Stochastic modeling, Deterministic optimization, and Intro to C++ all required in-depth knowledge of linear algebra |
Description:For students who need review of the fundamentals of
arithmetic, a thorough introduction to signed numbers, and a presentation of
the basic concepts of algebra. Topics include proportion and percent, polynomials,
factoring, inequalities in one variable, linear equations,
systems, graphing, integer exponents and quadratic equations.
Applications are included throughout the course.This self-paced course has no lecture and
incorporates independent computer use; in order to advance through course
topics, students must achieve required level of mastery. Students scoring below
44 on the Accuplacer Algebra Placement Test are
expected to complete the course in two semesters; students scoring 44 or higher
are expected to complete in one semester.Assessment level:RD 099/103.For computation of tuition, this course is equivalent to three semester
hours.
II.Class
Format:
This
section incorporates independent computer use which requires a level of mastery
in order to advance through the course topics. Students
are expected to attend every class session for the entire period and spend
enough time working in the Math 094 Open Lab and at home in order to make
sufficient progress in the course. Sufficient
progress is defined as successfully completing at least 6 tests in the current
semester or completing the course.
Be
forewarned of the college policy which allows an instructor to drop a student
from a course if (s)he has missed more than the
equivalent of a week's worth of classes.Attendance will be taken each day your class meets.Swiping your college ID before and after your
Math 094 Lab visit will track additional weekly minutes.
III. Software,
Textbook, and Other Supplies:
Required:
MyLabsPlus
access code which includes an electronic form of the textbook (new
students only)
Personal Notebook - for homework and notes
Calculator:Allowed ONLY after Test #4. CAS calculators (such as TI-89/92/ N-spire)
are NOT allowed.
Homework:Students are required to use the online software, MyLabsPlusto complete homework
assignments. They will view at least one of the media assignments, taking notes
and working out assignment problems in their notebooks. Once a student has achieved 100% on the
corresponding homework assignment, s(he) will be
allowed to progress to the next section, and so on, until reaching the test on
that unit. A personal notebook is required to show all work for homework
assignments and notes for media assignments.Students should bring their math notebooks to each class and each lab
session.A significant amount of time
will be allotted for students to work in MyLabsPlus
during class, but this will not be
sufficient for a successful semester in MA094.
Tests: In order to move forward in the course, students
must achieve 80% on each test up through Test 9.Retakes will be allowed after the appropriate
correction assignment is completed with 100%.Scoring at least 70% on the Final Test is a requirement for completion
of MA094.All students, except students
in Distance Learning sections MUST take their tests in class or in their own campus'
Math 094 Lab.Students in DL classes
will take their tests in the Assessment Centers. Students are required to
present a picture ID, and an organized homework notebook before taking each
test.Students may not receive help
during testing and may only use calculators on Tests 5-10. Sanctions given in
response to violations of established testing policies will be governed by the Montgomery
College Student Code of Conduct.
Course Grade:
A student has completed Math 094 when the Final Test (Test 10) is
completed with a score of at least 70%.The MyLabsPlus
(MLP) Overall Score, which can be found in the MLP gradebook,
is a weighted average computed as follows:
Test
1A – Test 5: 80% minimum score required to proceed. These scores are not
reflected in the
MLP Overall Score.
Test
6 – Test 9: each test counts 12% of the MLP Overall Score
Test
10 (Final Test): counts 40% of the MLP Overall Score
A
grade of A, B, or C is awarded when the MA094 Final Test (Test 10) is completed
with a score of at least 70%, and
the MLP Overall Score is:
90%
– 100%:Grade of A80%
– 89.99%: Grade of B70% – 79.99%:
Grade of C
Students who have not completed Test 10
with at least a score of 70% will
need to register for Math 094 again in a subsequent term.If a student has not completed the course,
but has passed at least 6 tests in the current session, his/her semester grade will
be "H", indicating that one semester's worth of work has been completed.Students who do not qualify for an A,B,C, or H will be assigned a grade of U, indicating
unsatisfactory progress during that semester.
Please
note that students are encouraged to complete their
math requirements in consecutive semesters.
Students continuing in Math 094 within a year of their last
attempt will begin at thesection following the last test they successfully completed. Students
continuing after a year or more will be placed by their instructor.
V.Math
094 Open Lab – "FLEX TIME"
Students
are required to spend an additional 75
minutes per week in the lab to satisfy the attendance policy for this course. Lab
time is to be used only to do math homework and/or to take tests.Students will scan their student IDs when
entering and leaving the lab to record their times spent in the lab.There will be MA094 faculty in the lab who can help with any math questions. |
Aimed at graduate students and researchers in mathematics, this book takes homological themes, such as Koszul complexes and their generalizations, and shows how these can be used to clarify certain problems in selected parts of algebra, as well as their success in solving a number of them. - ;Threading Homology through Algebra takes homological themes... more...
From Combinatorics to Philosophy: The Legacy of G. -C. Rota provides an assessment of G. -C. Rota's legacy to current international research issues in mathematics, philosophy and computer science. This volume includes chapters by leading researchers, as well as a number of invited research papers. Rota's legacy connects European and Italian... more...
Praise for the first edition "This book is clearly written and presents a large number of examples illustrating the theory . . . there is no other book of comparable content available. Because of its detailed coverage of applications generally neglected in the literature, it is a desirable if not essential addition to undergraduate mathematics and... more...
The purpose of this book is to give background for those who would like to delve into some higher category theory. It is not a primer on higher category theory itself. It begins with a paper by John Baez and Michael Shulman which explores informally, by analogy and direct connection, how cohomology and other tools of algebraic topology are seen through... more...
A One-Stop Source of Known Results, a Bibliography of Papers on the Subject, and Novel Research Directions
Focusing on a very active area of research in the last decade, Combinatorics of Compositions and Words provides an introduction to the methods used in the combinatorics of pattern avoidance and pattern enumeration in compositions and... more...
The two volumes of "Algebra, Arithmetic, and Geometry: In Honor of Y.I. Manin" are composed of invited expository articles and extensions detailing Manin's contributions to the subjects, and are in celebration of his 70th birthday. The well-respected and distinguished contributors include: Behrend, Berkovich, Bost, Bressler, Calaque,... more...
The continuing gap in achievement between traditionally underserved students (students of color, English learners, and poor children) and their middle-class white peers, however, has provoked questions of the effectiveness of current mathematics teaching practices for meeting the needs of these students. more... |
Statistics for Non-Mathematicians We intoduce statistics to the complete beginner. Topics will include: measures of central tendency, dispersion and numerous continous and discrete probability distributions.
Introduction to Topology We will study the basic theory and the topological properties of the Möbius bands, the torus and the Klein bottles to explain why a topologist cannot distinguish between a doughnut and a tea cup.
Learning to Program in C An introductory course on programming with an emphasis on general programming and algorithm design, using the popular C language.
You Can Count on It - Maths in Finance In this brief course we shall look at how mathematics contributes to finance and business. Our course is suitable for people with previous experience of mathematics at the sixth-form level and aims to provide an elementary introduction to the mathematics.
Alternatively you can perform a keyword search on all our courses using the 'Find courses' box on this page. |
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 of geometry. Everyone knows what a triangle is, yet very few people appreciate that the common three-sided figure holds many intriguing "secrets."... more...
The aim of this work is to provide a proof of the nonlinear gravitational stability of the Minkowski space-time. More precisely, the book offers a constructive proof of global, smooth solutions to the Einstein Vacuum Equations, which look, in the large, like the Minkowski space-time. In particular, these solutions are free of black holes and singularities.... more...
Just about everyone takes a geometry class at one time or another. And while some people quickly grasp the concepts, most find geometry challenging. Covering everything one would expect to encounter in a high school or college course, Idiot's Guides: Geometry covers everything a student would need to know. This all-new book will integrate workbook-like... more...
This three-volume work contains articles collected on the occasion of Alexander Grothendieck's sixtieth birthday and originally published in 1990. The articles were offered as a tribute to one of the world's greatest living mathematicians. Many of the groundbreaking contributions in these volumes contain material that is now considered foundational... more...
Presents the basic singularity theory of analytic spaces, including local deformation theory, and the theory of plane curve singularities. This book contains a treatment of equisingular deformations of plane curve singularities including a proof for the smoothness of the mu-constant stratum which is based on deformations of the parameterization. more... |
DJVUThis book follows the successful Mathematical Activities by the same author and has been written to provide teachers with further ideas to enrich their teaching of mathematics. It contains 127 investigations, puzzles, games and practical activities together with a commentary which provides solutions and additional ideas. These activities are suitable for use with children from age nine upwards to stimulate their interest and encourage mathematical thinking. ...
This book is a collection of 375 completely solved exercises on differentiable manifolds, Lie groups, fibre bundles, and Riemannian manifolds. The exercises go from elementary computations to rather sophisticated tools. It is the first book consisting of completely solved problems on differentiable manifolds, and therefore will be a complement to the books on theory. A 42-page formulary is included which will be useful as an aide-memoire, especially for teachers and researchers on these topics. The book includes 50 figures. Audience: The book will be useful to advanced undergraduate and graduate students of mathematics, theoretical physics, and some branches of engineering.
This popular First Certificate course has been updated to prepare students for the new examination syllabus introduced from December 2008. A clear organisation and fresh approach have already made it a popular route to success at FCE in many countries: thirty short units provide thorough training in exam skills, solid language development, and lively class discussion. The course is written by experienced authors who have an in-depth knowledge of the FCE exam, and understand the needs of both students and teachers alike.
A complete preparation course for IELTS offers topic development to encourage students to think critically. A Language for Writing syllabus covers grammar and vocabulary. Help Yourself pages with activities to support self-study are provided. |
Calculus : Single and Multivariable - 4th edition
Summary: Calculus, Fourth Edition brings together the best of both new and traditional curricula to meet the needs of even more instructors teaching calculus. The author team's extensive experience teaching from both traditional and innovative books and their expertise in developing innovative problems put them in an unique position to make this new curriculum meaningful to students going into mathematics and those going into the sciences and engineering. This edition will wo...show morerk well for those departments who are looking for a calculus book that offers a middle ground for their calculus instructors.
Calculus, Fourth Edition exhibits the same strengths from earlier editions including the Rule of Four, an emphasis on modeling, exposition that students can read and understand and a flexible approach to technology. The conceptual and modeling problems, praised for their creativity and variety, continue to motivate and challenge students |
The TI-86 can be thought of as the tier among various Texas Instruments calculators directly above the TI-83 and TI-84 line. In addition to having a larger screen than the TI-83, the TI-86 also allows the user to type in lower case and Greek letters and features five softkeys, which improve menu navigation and can be programmed by the user for quick access to common operations such as decimal-to-fraction conversion. The calculator also handles vectors, matrices and complex numbers better than the TI-83. One drawback, however, is that the statistics package on the TI-83 range doesn't come preloaded on the TI-86. However, it can be downloaded from the Texas Instruments program archive and installed on the calculator using the link cable.[1] |
Give students a solid high school introduction to math with Horizons Algebra 1. The colorful student workbook reviews all foundational pre-algebra concepts before covering topics such as: common factors, exponents, radical expressions, writing linear equations from graphs, polynomials, binomials, FOIL method, quadratic inequalities, and more. Grade 8. The student workbook includes a set of lesson review boxes accompanied by questions that provide practice for previously taught concepts and the concepts taught in the lesson. Exploring Math Through... sections help students understand how ordinary people use algebraic math, providing concrete examples of how math is useful in life. Students will need to supply paper to work the problems. 333 pages, softcover.
Provide students with a college-prep Algebra II course that will allow them to easily progress onto even more difficult mathematical challenges. Saxon Algebra 2, 4th Edition prepares students for calculus through explicit embedded geometry instruction. Trigonometry concepts, statistics, and applications for other subjects such as physics and chemistry are also included. Incremental lessons include a Warm Up activity; New Concepts section that introduces new concepts through examples with sidebar hints and notes; and Lesson Practice questions with lesson reference numbers underneath the question number. Online connections are given throughout for additional help. Real-world applications and continual practice & review provide the time needed to master each concept, helping students to...
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Provide students with a college-prep math course that will give them the foundation they need to successfully move into higher levels of math. Saxon Algebra 1, 4th Edition covers all of the traditional first-year algebra topics while helping students build higher-order thinking skills, real-world application skills, reasoning, and an understanding of interconnecting math strands. Saxon Algebra 1 focuses on algebraic thinking through multiple representations, including verbal, numeric, symbolic, and graphical, while graphing calculator labs model mathematical situations. Incremental lessons include a Warm Up activity; New Concepts section that introduces new concepts through examples with sidebar hints and notes; and Lesson Practice questions with lesson reference numbers underneath the...
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Passing the End of Course Exam in ALGEBRA 1/ MATH for Technologies II Published by American Book Company for South Carolina!!261 pages covers chapters from Fractions to Data Interpretation... But the math is same all over the world!!! Hello!!Good for Homeschooling kids or others to give a boost in the home...Free shipping..
Geometry For Dummies 2nd Ed NEW Calculus Algebra Math This GEOMETRY FOR DUMMIES Book Is Brand NEW Publisher's Notes: Learning Geometry Does Not Have To Hurt! With a little bit of friendly guidance, it can even be fun!Geometry For Dummies,2 nd Edition,helps you make friends with lines, angles, theorems and postulates. It eases you into all the principles and formulas you need to analyze two and three dimensional shapes, and it gives you the skills and strategies you need to write geometry proofs
ISBN13: 9781600320163 ISBN: 1600320163 UPC: 000000889920 Released: Nov 07, 2006 Group: Homeschool Format: Other Reading/Grade Level: 11th Description: Algebra 2 covers all topics that are traditionally covered in second-year algebra, as well as a considerable amount of geometry. In fact, students completing Algebra 2 will have studied the equivalent of one semester of informal geometry. Time is spent developing geometric concepts and writing proof outlines. Real-world problems are included alon
This set is brand new and Includes all of the Teachers Guides.Eighth grade math in the Lifepac curriculum is Pre-Algebra and Pre-Geometry. Topics include: Whole Numbers, Numbers and Factors, Rational Numbers, Fractions and Rounding, Fractions and Rounding, Fractions and Percent, Statistics, Graphs, and Probability, Integers, Formulas and Geometry, Algebraic Equations, and Numbers, Fractions and Algebra. The 8th Grade Math Boxed Set contains all 10 student worktexts, plus a comprehensive Teacher
This set is brand new and Includes all of the Teachers Guides.Ninth grade math in the Lifepac curriculum is Algebra 1. Topics include: Variables and Numbers, Solving Equations, Problem is and Solution, Polynomials, Algebraic Factors, Algebraic Fractions, Radical Expressions, Graphing, Systems, and Quadratic Equations and Review. The 9th Grade Math Boxed Set contains all 10 student worktexts, plus a comprehensive Teacher's Guide.Payment :Payment is expected within 5 days of auction's end |
Elementary Linear Algebra - 8th edition
This text presents the basic ideas of linear algebra in a manner that offers students a fine balance between abstraction/theory and computational skills. The emphasis is on not just teaching how to read a proof but also on how to write a proof.
Features
NEW--Improved pedagogy--Divides Chapter 1, Lin...show moreear Equations and Matrices, into two chapters, laying the foundation for using the idea of matrix function or maps.
Provides students with an easier format to understand important concepts. Gives instructors the opportunity to present subject matter more comprehensively8 |
Designed for the student with a strong algebraic foundation. This course includes the study of geometry, trigonometry and statistics. Extensive use of problem-solving and critical thinking skills are required. Prerequisite: MATH 091 or qualifying test score.
Check your grades using Gradebook. Be sure to bookmark this page for fast access. |
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Learn or re-learn the algebra you need to know to solve math problems found on your certification exam or during your daily work. This 8 lecture course will show you how to solve problems and give you plenty of guided practice to master the techniques |
Discovering Geometry - (3rd edition
Summary: Michael Serra's Discovering Geometry will spark new excitement in your geometry classroom, involving your students and making them active participants in their own learning. This exciting text brings the subject to life with investigations, constructions, activities, and projects. Students explore geometric relationships with a wide variety of tools: from compasses to computers, from patty papers to graphing calculatorsChattanoogaBookServices CHATTANOOGA, TN
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Show More concepts such as variables and equations. In this way, students gradually build their confidence dealing with basic algebra concepts and are better prepared for an introductory algebra course. Integers, fractions, and decimals are used frequently after their initial introduction, developing students' comfort with them. Students also develop valuable critical thinking skills through numerous, varied examples and exercises that focus on real-world applications and problem solving. The worktext is accompanied by numerous useful supplements, including McGraw-Hill's online homework management system, MathZone |
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Departing from traditional methods of teaching math, Dr. Algebra 1 - The Complete Course - Lesson 12: Introductory Explorations movie Monica Neagoy uses her extensive knowledge of history and mythology combined with concrete examples and illustrations to introduce algebraic concepts and make learning fun. Algebra 1 - The Complete Course - Lesson 12: Introductory Explorations video In this volume, she teaches how to connect algebraic expressions with geometric shapes, along with a brief history of the quadratic equation. |
Technology: You will need a graphing calculator
for this course.I strongly recommend
a TI-83, TI-83 Plus or TI-84.We will
also use a computer algebra system called Mathematica®for lab activities.UNC has a site license for the software, and it is
available in ROSS and UC labs.WeBWorK
will be used for homework assignments, and course materials
will be available on the class website.
Course
Description:
Inspired by problems in
astronomy, Isaac Newton and Wilhelm Gottfried Leibnitz developed the ideas of
calculus roughly 300 years ago. Since then, calculus has
provided the foundation for advances in many other fields,
even those which seem far removed from mathematics. You will
find applications in chemistry, physics, economics, biology,
medicine, business, psychology, and of course mathematics.
Calculus is so important that it is often considered the
gateway to many of the disciplines in which it is used.
The
importance of calculus lies in its power to reduce
complicated problems to simple rules and procedures. While
these procedures can be (and often are) taught with little
regard to the underlying mathematical concepts or their
practical uses, our emphasis will be on understanding all of
these: concepts, procedures and uses. We will engage in the
full mathematics process, which includes searching for
patterns, order, and reason; creating models of real world
situations to clarify and predict better what happens around
us; understanding and explaining ideas clearly; and applying
the mathematics we know to solve unfamiliar problems.
Participation in this variety of mathematical activities is
challenging, and for many students, the experience will be
vastly different from experiences in more traditional
mathematics course.
So
what is calculus? Very briefly, calculus is the study of
changing quantities. It has two main themes:
differentiation, which studies rates of change and is the
focus of this course; and integration, which studies
accumulating quantities and will be introduced this semester
but is more fully developed in Calc II.Calculus
I is an introduction to the tools, methods, and applications
of single-variable differential calculus. Central concepts
of the course are that of a function and its derivative. We
begin by a review of basic functions and their properties.
Next we'll discuss a concept of a limit that is necessary to
give the definition of a derivative. After mastering limits
and their use in defining derivatives of basic functions,
we'll study a collection of simple rules that allows us to
easily compute the derivative of any function expressible in
terms of elementary functions.We'll
discuss various applications of differential calculus to
real-life problems. In particular, we'll talk about
differential equations, their (numerical) solutions. Finally
we will introduce the idea of the definite integral to model
aspects of accumulation.
Goals:Our
course
is one of the General Education courses and it aims to
satisfy the following outcome objectives in the area of
Mathematics:
Students
will
demonstrate proficiency in the use of mathematics to
structure their understanding of and investigate questions
in the world around them.
Students
will
demonstrate proficiency in treating mathematical content
at an appropriate level.
Students
will
demonstrate competence in the use of numerical, graphical,
and algebraic representations.
Students
will
demonstrate the ability to interpret data, analyze
graphical information, and communicate solutions in
written and oral form.
Students
will
demonstrate proficiency in the use of mathematics to
formulate and solve problems.
Students
will
demonstrate proficiency in using technology such as
handheld calculators and computers to support their use of
mathematics.
Labs:On
Tuesdays
we will work in small groups on labs that develop the
central concepts in the course. Attendance and participation
is especially crucial on these days. You will turn in
individual write-ups of these class activities and make
presentations of your work to the other groups in the class.
It is also important to ask questions of the other groups
(who will generally work on related but slightly different
problems than your own group) when they present as you will
be responsible for all the problems on exams.
Attendance:There
may
be topics covered in class that are not in the text. You are
responsible for all material covered. I don't take
attendance, but there is a strong correlation between
attendance and final grades. Missing class more than once or
twice during the semester is likely to affect your grade,
either directly or indirectly. If you do miss class, you
should get notes and/or handouts from your classmates and/or
see me during office hours.
Homework: There are three types of homework
assignments in this class (see the homework
page for details):
Written homework will usually consist of a small
number of relatively comprehensive problems mostly drawn
from the Tuesday labs. The emphasis for these assignments
is on presentation and explanation.
On-line homework will usually consist of two
WeBWorK-based assignments each week. You are allowed six
attempts for each question and you can get partial credit
if you only get part of a problem right.These
problems will be similar to those in the book and are
graded immediately. There are 314 problems assigned
throughout the semester worth one point each. Since this
category accounts for 250 points of your final grade,
there is significant opportunity for extra credit.
Suggested practice problems from the text are also provided
on the homework page of the class website. The
answers to most of these problems are in the text, so I
will not collect them.However, you
will see some of these problems (verbatim or with slight
variations) on tests, so completing the problems is
strongly encouraged!
The key
to success in this course is regularly working with other
students in the class, doing the homework early and asking
questions when you have them!!! We will discuss homework problems
in class, but there will often not be enough time to discuss
all of them. Please come to office hours or visit the math
tutoring lab if you have additional questions about the
homework.
Late
Policy:WebWorK assignments
will have a closing date and time and will not be accepted
late.All other work is due at the beginning of class on the announced
due date.I may accept late written
homework for reduced credit, until I have graded an
assignment or project.After I have
graded the pile, I will no longer accept late work and you
will receive a 0.I generally grade
materials within a couple days of collecting them, and
sometimes grade them the same day they are collected.Expect to lose approximately 10% for
each day an assignment is late.
Exams: We will have four in-class exams
(roughly covering Chapters 1, 2, 4 and 5), and a
comprehensive final exam. The final exam will be Monday,
December 9th, from 4:15 to 6:45 pm. Make-up exams
are possible only if there is a documented
emergency.
Gateway Test: There will be a WeBWorK-based test
on differentiation after we have covered the short-cut rules
for taking derivatives in Chapter 3.You
will be able to take the test as many times as you like
during the 2 week period that it is open.A
passing grade is 6 out of 7, and each problem is graded as
correct or incorrect (no partial credit).Successful
completion of the Gateway Test during the allotted time
frame is worth 2/3 of a letter grade.
Workload and Assistance:You
should expect to spend 8 to 12 hours each week
outside of class working on the course material. Some weeks
(those in which an exam is scheduled, for instance) may
require more of your time, other weeks may require less, but
on average, budget 8 to 12 hours each week. I can't stress enough that in order to be
successful in this class you should spend much of this
time working with other students in the class! Please
ask questions and seek assistance as needed. You may email me at any time, and I encourage you
to make use of my office hours and the Thursday group study
room.In addition there are two
tutoring centers (see for
hours and more information):
The math tutoring lab is
located in Ross 1250 and will open the second week of
classes. It is a great place to go if you have a quick
question or get stuck on a particular problem.No appointment is necessary.
The university tutoring
Center is located in Michener L120. It provides more
personalized one-on-one tutoring in many areas
(including Mathematics). An appointment is necessary.
Collaboration: I assume that you are here to
learn. If you talk to each other, you will learn from each
other, perhaps more than you will learn from me.I encourage you to form study groups.Try the homework yourself, and then get
together with a study group to go over questions, and to
study for tests.You will learn a
great deal from articulating your questions and explaining
material to your peers.Discussion of assigned homework is encouraged,
but you should be sure you fully understand the material
by writing your solutions on your own.Evidence
of any cheating or collaboration on work assigned to be
completed individually will result in a 0 for that work,
at minimum.
Honor Code: All members of the University of Northern Colorado
community are entrusted with the responsibility to uphold
and promote five fundamental values: Honesty, Trust,
Respect, Fairness, and Responsibility. These core elements
foster an atmosphere, inside and outside of the classroom,
which serves as a foundation and guides the UNC community's
academic, professional, and personal growth. Endorsement of
these core elements by students, faculty, staff,
administration, and trustees strengthens the integrity and
value of our academic climate. UNC's
policies and recommendations for academic misconduct will be
followed. For additional information, please see the Dean of
Student's website, Student Handbook link
Portable Electronic Devices:
Please extend courtesy to your
instructor and fellow students by turning off your portable
electronic devices, and putting them away in your bag,
during class. If you know that you may need to accept an
emergency phone call during class or if you have children in
childcare or school, please let the instructor know. If you
need to take a phone call during class, please step out of
the classroom while you complete your call.
Students with Disabilities: Students who require special
accommodations due to a disability should contact
Disabilities Support Services (351-2289) as soon as possible
to better ensure that accommodations are implemented in a
timely fashion. |
Teaching Textbooks, whose upper-level math programs have debuted with much acclaim, has now published Math 7! Designed specifically for homeschoolers, Teaching Textbooks is for independent students, with the "teacher" and "workbook" elements combined! The workbook offers detailed instructions, fun illustrations, real-world examples, extensive review and already high-lighted important concepts. Topics covered in this program include: adding, subtracting, multiplying, dividing and using whole numbers in the real world; fractions; decimals; percents; geometric measurements; graphing and more!
This is an extra workbook set only; this does NOT include the Teaching Textbooks Math 7 CD-ROM Set; this book is not designed to be used without the CDs. Teaching Textbooks Grade 7.
Good Choice for Math Workbook
Date:October 4, 2013
dolph8
Location:Cedar Rapids, IA
Age:45-54
Gender:female
Quality:
5out of5
Value:
4out of5
Meets Expectations:
5out of5
Seems to be working well with my students. Contains lots of review and starts out with basic calculations and moves into harder concepts as the lessons progress. Used with CD, it's a good math program!
Share this review:
0points
0of0voted this as helpful.
Review 2 for Teaching Textbooks Math 7 Extra Workbook & Answer Key
Overall Rating:
5out of5
This product is great
Date:September 3, 2011
Kobaloo
Location:Phoenix, AZ
Age:45-54
Gender:male
Quality:
5out of5
Value:
5out of5
Meets Expectations:
5out of5
My son told my wife that he understands what he is doing in his math and that it is explained better then his teacher had explain to him in when my son was attending a charter school. We both like it and I highly do recommend this.
Share this review:
+1point
1of1voted this as helpful.
Review 3 for Teaching Textbooks Math 7 Extra Workbook & Answer Key
Overall Rating:
5out of5
Date:May 11, 2010
Nancy Lawless
I really appreciate that you sell the book and answers. My youngest loves this math, but doesn't need the CD's yet, so this is a major cost savings. If you aren't comfortable figuring out how to work the problems yourself, though, definately get the whole set, or if your child likes to do schoolwork on the computer. |
A Companion to Calculus, 2nd Edition
Improve your algebra and problem-solving skills with A COMPANION TO CALCULUS! Every chapter in this companion provides the conceptual background and any specific algebra techniques you need to understand and solve calculus problems related to that topic. Verbal descriptions, diagrams, graphs, pictures, symbolic formulas, and numerical data are all used to reinforce communicating and understanding in different modes141.95
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Summary: Syllabus for Math 520, Geometry for Teachers, Summer 2011
Instructor: Dr. Elizabeth Arnold
e-mail: arnoldea@math.jmu.edu
Phone: 568-6532
URL:
Office: Roop 111
Office Hours: TBD
COURSE DESCRIPTION: This course will cover topics from Euclidean and non-Euclidean Geometry. We
will use the software Geometry Explorer as a supplement to the text. This software can be installed on Windows,
Macintosh or Linux machines. It is understood that the students have as a pre-requisite an in-depth, working
knowledge of (high school level) Euclidean geometry. Prior experience with proving mathematical results is
highly recommended. The goal of this class is to expose you to new concepts in geometry and to deepen your
understanding of basic concepts in Euclidean geometry. This is NOT a methods course, nor is it a workshop
where you will take home worksheets, projects, etc. for your own students. This is a content course where you
will broaden your knowledge and hopefully your appreciation of geometry, which should enhance the teaching of
your individual curriculum. Topics for this course will include axiomatic geometry, advanced Euclidean geome-
try, analytic geometry, transformational geometry, non-Euclidean geometry and fractal geometry. We will cover
most of the sections in Chapters 1, 2, 5, 7 and 9 of the text.
TEXT: Geometry with Geometry Explorer by Michael Hvidsten, Geometry Explorer CD (included with text)
The text can be obtained in one of three ways. |
Mathematics
Mathematics is an integral part of many systematic or logical processes, which in turn underlie numerous professions. A lawyer who must argue cases on a daily basis, for example, requires as much facility in critical analysis as an economist.
The mathematics program at Randolph College provides you with training in problem solving and analytical thinking, as well as the practical background you need to pursue a career or graduate study in mathematics.
In a "learning-by-doing" environment that also includes frequent written analyses, you discover the usefulness and intricacies of mathematics and related fields. Outside the classroom, our mathematics club provides a chance for students and faculty to get together in an informal setting.
Find out how the Randolph College mathematics program adds up for you. |
Introductory Algebra prepares students for Intermediate Algebra by covering fundamental algebra concepts and key concepts needed for further study. Students of all backgrounds will be delighted to find a refreshing book that appeals to every learning style and reaches out to diverse demographics. Through down-to-earth explanations, patient skill-building, and exceptionally interesting and realistic applications, this worktext will empower students to learn and master algebra in the real world.
Introductory Algebra Chapter R
Prealgebra Review R.1 Fractions
Building and Reducing R.2 Operations with Fractions and Mixed Numbers R.3 Decimals and Percents |
Integrated Mathematics Sequence for High School Mathematics
Curriculum
Integrated Mathematics has been in the NC SCS for Mathematics since the
1998 revision. The integrated mathematics courses should be treated as
a package. The courses are listed as a group in the high school
graduation requirements . A student who has had IM I and IM II should
proceed to IM III. The three courses (as a package) are equivalent to
the conventional courses (Algebra I, Geometry & Algebra II as a
package).
The Integrated Mathematics I and II curriculum should not be used as a
substitute for an Algebra IA, Algebra IB sequence. Integrated
Mathematics is in the Standard Course of Study and should be taught
with the objectives in the SCS.
End of Course Tests
Once the new assessment system is developed (expected in 2011-2012) the
set of EOCs for the integrated mathematics sequence (IM I, II, III)
will be similar to the set of EOCs for the conventional sequence
(Algebra I, Geometry, Algebra II).
Up until this school year (2008-2009) the students in the integrated
sequence took all 3 of the math EOCs (Algebra I after IMII; Geometry
during IM III; and Algebra II at the end of IM III). However, the State
Board of Education has granted a waiver for integrated mathematics
students as we wait for a our new testing system to be developed
(expected in 2011-2012), and integrated mathematics students during
2008-2009; 2009-2010, and 2010-2011 will not be required to take the
Geometry EOC. This is an interim measure to allow for
the new assessment system to be developed (expected in 2011-2012). Once
the new assessment system is developed, the EOCs expected for the
integrated sequence will be comparable to the EOCs expected for the
conventional sequence.
Currently IM students take the Algebra I EOC after IM II and Algebra II EOC at the end of IM III.
Textbooks
The Textbook commission did not choose a book for Integrated Math I,
II, III during the last mathematics textbook adoption; so, there is not
a book on the state list at this time. The new adoption list for high
school mathematics textbooks in NC is expected in October 2009. The
next textbook list will have choices for Integrated Mathematics. The
Integrated Mathematics I, II, III standards include all objectives in
Algebra I, Geometry, Algebra II plus some topics in discrete
mathematics and statistics. There are Integrated Mathematics textbooks
available for purchase.
Integrated Mathematics
Course Codes and Sample Descriptions
2051 Integrated Mathematics I (IM I)
Note: The Integrated Algebra/Geometry sequence of courses is an
investigative mathematics sequence that includes four major strands:
algebra, geometry, statistics, and discrete mathematics. The first year
the topics are dealt with on an introductory level and each successive
year the topics are studied in more depth. IM I, II, and III include
all of the objectives for Algebra I, Geometry, and Algebra II in the NC
Standard Course of Study.
Integrated Mathematics I (IMI) provides students the opportunity to
study the introduction of algebra, geometry, statistics, and discrete
mathematics using a problem centered approach that emphasizes the
connections between the four strands. Students who successfully
complete IM I will take IM II the following year.
2052 Integrated Mathematics II (IM II)
Note: (See note for IM I.) All students in this class take the Algebra I End-of-Course Test.
This course provides students the opportunity to study matrices,
systems of equations, coordinate and transformational geometry, least
squares regression, linear models, power models, network optimization,
introductory trigonometry with triangles and circles, and probability.
The instruction features a problem-centered approach that emphasizes
connections between algebra, geometry, statistics and discrete
mathematics. Students who successfully complete IM II will take IM III
the following year.
2053 Integrated Mathematics III (IM III)
Note: (See note for IM I.) All students in this class take Algebra II End-of-Course Test.
This course provides students the opportunity to study law of
cosines and sines, linear programming, voting preferences and sampling
techniques, advanced algebraic concepts (polynomial, exponential,
periodic and rational expressions to model relations among quantitative
variables), congruence of triangles, properties of parallelograms,
inductive and deductive reasoning, normal distribution as a model of
variation, statistical process control, and solving problems including
recursive and sequential change. The instruction features a problem
centered approach that emphasizes the connections between algebra,
geometry, statistics and discrete mathematics. Students who
successfully complete IM III may choose to continue their study of
mathematics by taking IM IV, Pre-Calculus, or Advanced Functions and
Modeling.
2054 Integrated Mathematics IV (IM IV)
This course provides the opportunity for students to study limits,
rates of change, how area relates to integrals, permutations and
combinations, mathematical induction, logarithmic functions, composite
and inverse functions, periodic functions, vectors, linearizing data,
polynomial and rational functions, complex numbers, binomial
distributions, space geometry, informatics (the mathematics of
databases and search engines, cryptography, error-correcting codes,
data compression), problem solving, algorithms, and spreadsheets. The
instruction features a problem centered approach that emphasizes the
connections between algebra, geometry, statistics and discrete
mathematics. Students who successfully complete IM IV may choose to
continue their study of mathematics by taking AP Calculus AB or AP
Calculus BC, and/ or AP Statistics. It is recommended that those
students considering calculus should take Honors IM IV. The honors
level of the course serves as a bridge between Honors IM III and AP
Calculus and is designed for college-bound students who plan to major
in math or a math-related field. |
For elementary, intermediate, and advanced clinical mathematics instruction in programs in medical/clinical laboratory science, from the associate's level through the bachelor's and master's level, through the new doctorate in clinical laboratory science ("DCLS"). Also for wide audiences of pathologists, pathology residents, medical students, nurses, pharmacists, biochemists, biomedical engineers, physician assistants, and analytical chemists.
This accessible text brings together mathematical techniques that will be indispensable to every student, teacher, practitioner, and user of chemistry- or biology-related laboratory work. Responding to the concerns of both instructors and students, CLINICAL LABORATORY MATHEMATICS begins with a review of arithmetic and algebra. Next, it presents example-rich chapters on exponential notation and logarithms, rounding and figure significance, measurement systems, solutions and concentrations, dilutions, proportionality, graphs, rates of change, statistics, chemistry, quality control, and method evaluation. It answers frequently asked questions, identifies common misunderstandings, and offers an optional advanced section online. Throughout, the author explains why a solid understanding of math is critical in today's high-technology clinical laboratories. Practice problems are strategically designed to present real-world scenarios with both context and consequence. Supporting both self-guided study and traditional lecture-discussion, the text is logically organized and liberally cross-referenced, revealing hidden connections and common motifs. |
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Starting at $3730ed for the "transition" course for mathematics majors moving beyond the primarily procedural methods of their calculus courses toward a more abstract and conceptual environment found in more advanced courses, A Transition to Mathematical Proofs emphasizes mathematical rigor and helps students learn how to develop and write mathematical proofs. The author takes great care to develop a text that is accessible and readable for students at all levels. It addresses standard topics such as set theory, number system, logic, relations, functions, and induction in at a pace appropriate for a wide range of readers. Throughout early chapters students gradually become aware of the need for rigor, proof, and precision, and mathematical ideas are motivated through examples. |
Putnam and Beyond
9780387257655
ISBN:
0387257659
Pub Date: 2007 Publisher: Springer Verlag
Summary: With the emphasis on problem-solving, this text serves as a transition book from high school problem-solving to university level mathematical research. Structured topically, it will assist undergraduates in gaining proficiency across the broad range of subjects that comprise a core mathematics curriculum.
Gelca, Razvan is the author of Putnam and Beyond, published 2007 under ISBN 9780387257655 and 0387257659.... One thousand six Putnam and Beyond textbooks are available for sale on ValoreBooks.com, two hundred four used from the cheapest price of $54.30, or buy new starting at $64.03.[read more]
Ships From:Salem, ORShipping:Standard, ExpeditedComments:Has minor wear and/or markings. SKU:9780387257655-3-0-3 Orders ship the same or next business day... [more] Putnam and Beyond takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and [more]
This item is printed on demand. Putnam and Beyond takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis in one and |
Find a SanteeWhen you are able to conquer Algebra, you can conquer the world! Algebra 2 can't be properly understood without a thorough understanding of Algebra 1. It makes sense, but in actuality the concepts and functions of Algebra 2 are built upon Algebra 1.
...It is so very different from the math they are used to up to this point. But 1 |
ISBN: 0387963685 / ISBN-13: 9780387963686
An Outline of Set Theory
An innovative introduction to set theory, this volume is for undergraduate courses in which students work in groups and present their solutions to ...Show synopsisAn innovative introduction to set theory, this volume is for undergraduate courses in which students work in groups and present their solutions to the class. Complete solutions. 1986 edition.Hide synopsis
...Show more groups of students each week. With all the necessary assistance from the instructor, the groups complete their projects, carefully write a short paper for their classmates, and then, in the single weekly class meeting, lecture on their results. While the em- phasis is on the student, the instructor is available at every stage to assure success in the research, to explain and critique mathematical prose, and to coach the groups in clear mathematical presentation. The subject matter of set theory is peculiarly appropriate to this style of course. For much of the book the objects of study are familiar and while the theorems are significant and often deep, it is the methods and ideas that are most important. The necessity of rea- soning about numbers and sets forces students to come to grips with the nature of proof, logic, and mathematics. In their research they experience the same dilemmas and uncertainties that faced the pio- neers An Outline of Set Theory (Problem Books in Mathematics)...Good. An Outline of Set Theory (Problem Books in |
Twelfth graders explore differential equations. In this calculus lesson, 12th graders explore Euler's Methods of solving differential equations. Students use the symbolic capacity of the TI-89 to compare Euler's Method of numeric solutions to a graphical solution.
Twelfth graders solve problems using differential equations. In this Calculus lesson, 12th graders analyze data regarding the spread of a flu virus. Students use the symbolic capacity of the TI-89 to develop a model and analyze the spread of the disease.
In this differential equations learning exercise, students solve systems of simultaneous differential equations using linear algebra. This six-page learning exercise contains approximately six problems, with explanations and examples.
Twelfth graders investigate differential equations. In this calculus lesson, 12th graders are presented with a step-by-step illustrated review of the process used in solving differential equations and an application problem. Students solve differential equations and application of differential equations.
Students identify and familiarize themself with the features and capabilities of the TI-92 Plus calculator. They also find symbolic solutions of differential
equations and general solutions or to find particular solutions of initial-value and boundary-value problems. Finally, students use TRACE to find numerical values for this phase-plane graph.
Students investigate differential equations and slope fields. In this differential equations and slope fields instructional activity, students determine how much time can pass before a cup of coffee is safe to drink. Students use a differential equation to solve the problem algebraically. Students create a slope field to represent the time at which it is safe to drink the coffee.
Investigate differential equations with your class. They use the TI-89 to explore differential equations analytically, graphically, and numerically as the examine the relationships between each of the three approaches.
Students follow detailed instructions for using their TI-86 graphing calculator to find solutions to differential equations. In this lesson, students learn to use their graphing calculator to solve 12 differential equations.
In this methods of applied mathematics activity, students solve 5 various types of problems that relate to variational calculus equations. First, they determine a second order differential equation for the geodesic. Then, students write down Euler Lagrange equations for 2 dependent variables, and then determine a system of first order differential equations describing motion of an object.
Learners calculate the length of time to cool a hot drink. In this data analysis and differential equations lesson, students use a TI-89 or TI-92 calculator to find the length of time for a hot drink to cool to room temperature. Readings are taken regularly and a scatter plot of data is graphed.
In this linear differential equations worksheet, learners solve 5 various types of problems that relate to first order linear differential equations. First, they find the general solution of the differential equation given in numbers 1 and 2. Then, students find the general solution to the differential equation by converting it into a separable differential equation using the substitution method.
In this differential equations worksheet, learners solve and complete 3 different parts of a problem. First, they sketch a slope field for the given differential equation on the axes provided. Then, students write an equation for the line tangent to the graph of a given point.
In this differential worksheet, students read a word problem and write a differential equation and solve it. They draw the slope field for given problems. This two-page worksheet contains 9 multi-step problems.
In this differential equations worksheet, students solve and complete 3 sets of various problems. First, they solve each of the differential equations. Then, students use the given information to evaluate the constant of integration. They also solve the equations for a variable as a function |
hands to explore and build proficiency and eventually to replicate... I've previously taken regular calculus classes with engineers and won... This is not the same at all. We were solving real problems every day...Students work through problems using an online interactive textbook D...When teams become stuck on a problem Chiel or a teaching assistant m...
hands, to explore and build proficiency, and, eventually, to replicate and build on recent math models used in the biological sciences. The course is cross-listed as both a biology and biomedical engineering class.
"I've previously taken regular calculus classes with engineers and wondered what would the classes ever be useful for," said Kate Coyle, a biology major who completed the Dynamics class and graduated this semester. "Labs I've had in biology and physics show you the protocol and the expected result.
"This is not the same, at all. We were solving real problems every day."
Students work through problems using an online interactive textbook, Dynamics of Biological Systems: A Modeling Manual Chiel wrote and the computer programming language Mathematica, which scientists worldwide rely on to build mathematical models of complex systems. Chiel's book is available free to students as well as teachers who may want to use it as is or as a model for their own classes.
When teams become stuck on a problem, ,Chiel or a teaching assistant makes suggestions, gives clues and tries to coax out the answer. After success, teachers quiz individuals about how they found the solution and what they'd learned.
The class of 30 is spread out among hexagonal tables. Teams power up their laptops and go to work. Each day the teachers rotate to a different group of students, and after each class they compare notes on who has mastered the skills and who needs extra help, Gill said.
When the second half of the semester begins, teams choose a mathematical model that was recently published in a scientific journal, begin reconstructing and analyzing it and then writing in detail what they learn. The students then extend the model to answer new questions that they ask themselves, and write up results as if they were writing for a scientific journal.
Coyle and her teammates Valencia Williams and Joshua DeRivera focused on a pa |
Algebra Touch 1.0 for OSX - See Why People Enjoy Doing Math
[prMac.com] Seattle, Washington - Regular Berry Software is pleased to announce Algebra Touch 1.0 for OS X. Algebra Touch is an educational app for OS X and iOS for learning and practicing algebra. The app incorporates an equation editor with iCloud sync so that users may create their own sets of problems and access those problems across all of their devices automatically. Algebra Touch also features 21 interactive lesson topics and supporting practice problems.
Algebra Touch enables the excitement of learning through simplified, interactive instruction, with styling and functionality usually reserved for electronic gaming. Algebra Touch for iOS is used in classrooms to supplement lectures and add a tangible method of practicing and exploring math principles. The principles and problem solving capabilities of algebra are, in themselves, fascinating. By simply facilitating the process of discovery, Algebra Touch makes math fun.
Feature Highlights:
* Appropriate for learning or reviewing of algebra
* For students of any age or gender
* Enjoy the wonderful conceptual leaps of algebra, without the tedium of traditional methods
* Drag to rearrange, click to simplify, and draw lines to eliminate identical terms
* Distribute by clicking and sliding, Factor Out by dropping terms on one another
* Easily switch between lessons and randomly generated practice problems
* Users may create their own sets of problems
* Topics include: Simplification, Like Terms, Commutativity, and Order of Operations
* Additional topics: Factorization, Prime Numbers, Elimination, and Isolation
* Advanced topics: Variables, Solving Equations, Distribution, Factoring Out, and Substitution
* Includes support for iCloud sync, which will work with the iOS version of this app as well
Located in Seattle, Washington, Regular Berry Software is an educational app software company with the goal to reveal to students that math problems are just puzzles, and can be fun if you know the rules. Copyright (C) 2012 Regular Berry Software LLC. All Rights Reserved. Apple, the Apple logo, iPhone, iPod and iPad are registered trademarks of Apple Inc. in the U.S. and/or other countries. |
MTMS Blog
Function is a
fundamental concept in mathematics; it is one that students explore repeatedly,
at increasing levels of sophistication, throughout the early and middle grades
(and beyond) (Steketee and Scher 2011). In the early grades, students may
encounter functions as lists of inputs and outputs in classroom activities such
as "Guess My Rule" (Huinker
2002). With that activity, students are given input values one by one as
suggested in figure 1. With each
additional input, students are asked to construct a single rule that transforms each value in the "input" column into
the corresponding "output" value at right.
In subsequent activities, students may consider functions
as "machines" that provide a specific output for a given input (Reeves 2005, p.
251). For instance, the tasks in figure
2 were developed for third graders studying functions.
Fig.
2 These illustrations render a third-grade
version of a function machine task.
In the middle grades (and beyond), students experience
functions as (a) plots of ordered pairs on the coordinate plane and (b) as
formulas to be evaluated for particular values of x (King 2002). Such representations are highlighted in figure 3.
Unfortunately, none of these representations adequately
capture the dynamic nature of
function; instead, each "portray(s) input and output in a discrete and static way"
(Steketee and Scher 2011, p. 49).
Dynagraphs:
An Introduction
As an alternative to function representations presented in
figures 1–3, consider the dynagraph
sketch shown in figure 4.
The point along the bottom number line represents an input value of an unknown function. The
upper point represents the corresponding output
value of the function for the given input. As the bottom point is dragged,
students make conjectures concerning the relationship between the input and
output. For instance, looking at a dynagraph, such as that depicted in figure 4, students might guess that the
following relationships hold:
Output = 2*Input (i.e., y = 2x)
Output = Input + 2 (i.e., y = x + 2)
Output = 6 – Input (i.e., y = 6 – x)
Output = 0.5*Input + 3 (i.e., y = 0.5x + 3)
By dragging the bottom point, students can test their
conjectures against new input-output pairs. The image in figure 5 was generated by dragging the "input" point 4 units to the
left.
Fig.
5 This graph results when the point along
the input number line is dragged 4 units to the left.
Of the original conjectures, only the last one holds for
both input values. Clicking on the "Show Equation" checkbox, students see that
the relationship between input and output is, indeed, defined as y = 0.5x + 3. As figure 6
suggests, teachers (and students) can type in new functions into the input box
and explore new rules. Fig.
6 Students can revealthe relationship between input and output by clicking on the "Show
Equation" checkbox.
Instructionally, the approach is similar to the "Guess My
Rule" game with several important differences:
The dynagraph emphasizes the continuous change of both the input and output values of the
function.
The interactive sketch gives students and teachers a way
to manipulate inputs directly through
dragging, encouraging students to see variables as quantities that vary.
Dynagraphs were first envisioned by Goldenberg, Lewis, and
O'Keefe (1992) as a means to bridge discrete, numerical representations of
function (e.g., tables of values, function machines) with more sophisticated,
abstract representations that students encounter in the later grades (e.g.,
formulas and equations, Cartesian plots).
From
Dynagraphs to Cartesian Plots The output number line of a dynagraph can be rotated 90
degrees to yield a dynagraph that resembles the Cartesian plane (as shown in fig. 7). Constructing lines through
"input" and "output" points perpendicular to the number lines, the x-y pairs are plotted by tracing the
intersection of the perpendiculars (as shown in fig. 8). Fig.
7 This dynagraph image, showing an output
number line rotated 90 degrees, is available at
Dynagraphs are a powerful representation
to help students better grasp the idea of function. Traditionally, students in
the upper middle grades explore graphs of functions wholly within the Cartesian
plane. Too often, this approach doesn't adequately connect back to experiences that
students have had with functions in the earlier grades. By giving students a
way to explore functions in one dimension, dynagraphs help students focus on
relationships between inputs and outputs while considering functions as
objects. Dynagraphs may also be used to help students transition to Cartesian
graphing.
Michael
Todd Edwards is an associate professor of mathematics education at Miami
University in Oxford, Ohio. He is the coeditor of Contemporary Issues in Technology and Mathematics Teacher Education,
executive editor of the North American
GeoGebra Journal, and codirector of the GeoGebra Institute of Ohio. His
research interests focus on the teaching and learning of school mathematics
with technology (specifically, dynamic mathematics software), ethical issues
surrounding the use of free software and the free software movement, and
writing as a vehicle to learn mathematics at all levels of instruction.
Jennifer Nickell is working toward her
PhD in mathematics education at North Carolina State University in Raleigh. Her
research interests focus on preparing teachers to teach statistics and
effectively incorporate technology into the classroom.
The National Council of Teachers of Mathematics is the public voice of mathematics education, supporting teachers to ensure equitable mathematics learning of the highest quality for all students through vision, leadership, professional development, and research. |
Introductory and Intermediate Algebra : A CombinedMathMax: The Bittinger System of Instruction offers a completely integrated package of four-color text, multimedia CD-ROM, interactive tutorial software, and videos that guide students successfully through developmental math with learning objectives keyed to the exposition, exercises, and examples, a hallmark five-step problem-solving process, and current, relevant applications and problems. This first edition, covers both introductory and intermediate algebra topics without the repetition of instruction necessary in two separate texts. It continues the MathMax approach with respect to design, art program, pedagogy, and supplements package. That unique approach, developed and refined over many years, helps students both learn and retain mathematical skills. This text will help today's students through the effective use of full color and updated applications. A comprehensive and well-integrated supplements package accompanies the text providing maximum support for instructors and students alike. |
What.
Intelligent Control considers non-traditional modelling and control approaches to nonlinear systems. Fuzzy logic, neural networks and evolutionary computing techniques are the main tools used. The book presents a modular switching fuzzy logic controller where a PD-type fuzzy controller is executed first followed by a PI-type fuzzy controller thus improving the performance of the controller compared with a PID-type fuzzy controller. presented calculus as an organic evolution of ideas beginning with the discoveries of Greek scholars, such as Archimedes, Pythagoras, and Euclid, and developing through the centuries in the work of Kepler, Galileo, Fermat, Newton, and Leibniz. Through this unique approach, Toeplitz summarized and elucidated the major mathematical advances that contributed to modern calculus. |
In this video lesson, students will learn about linear programming and will solve a linear programming problem using the graphical method. Its focus is on the famous "Stigler's diet" problem posed by the 1982 Nobel Laureate in economics, George Stigler |
Precise Calculator has arbitrary precision and can calculate with complex numbers, fractions, vectors and matrices. Has more than 150 mathematical functions and statistical functions and is programmable (if, goto, print, return, for). |
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Modules Explore Real-Life Calculus
04/01/96
Calculus Connections explores mathematical theory and its applications in the world around us through richly produced video, sound and interactive simulations. Each volume consists of eight multimedia modules and a corresponding workbook. Modules begin by presenting a real-life application of a calculus concept -- a plane taking off, a bridge collapsing, a skydiver jumping, etc. Students discover how changing variables or conditions will affect the model and consequently the physical application. Predefined routes through the material take approximately 45 minutes to complete. One can also plot, manipulate and save 2D or 3D graphs, or obtain additional information through online references. John Wiley & Sons, New York, NY, (800) 225-5945, |
handy reference to the math concepts encountered at home and at work, containing detailed explanations of math-related ideas that appear in the financial pages of the newspapers, popular magazines, and in the nightly news. Paper. DLC: Mathematics - Handbooks, manuals, etc. |
...You're never too old or too young to laugh while learning math! Precalculus reviews concepts and skills introduced in Algebra 2 and introduces students to exponential and logarithmic functions, sequences, and series. In order to do well, students must UNDERSTAND the concepts presented not merel |
Building on the fundamental concepts developed in introductory mathematical methods, this unit introduces students to the mathematics and physics needed to build virtual worlds in computers. Specifically, this unit focuses on three principal concepts: the mathematical description of affine spaces; the representation and properties of subsets of space; and, the physics of moving and interacting objects. Students will study inter-related topics in mathematics that encompass and bind these concepts together, enabling them to build a thorough understanding of the mathematics and physics relevant to the representation of virtual worlds. The mathematical techniques developed throughout this unit will be directly applicable to further studies in areas such as game design, computer graphics, animation, 3D modelling and advanced game development. |
There's MathLab, Octave, Mathematica. Can anyone tell me how these relate, and which one is the best one to start a high schooler on? No specific project; just want to increase math skills. Is one of these better as an aid for learning high school level math?
To the MATHEMATICA users here: is there an online course, book, or website that would help a teacher or student use Mathematic to help learn mathematics? Let's imagine it is a self-guided course. Let's say I want to brush up on my mathematic skills in the evening. Is there interactive software course for such a thing?
Perhaps I misunderstood the question, but it seems to me that the asker wants to boost her highschooler's MATH skills not teach him a math PROGRAMMING language. If that is the case (I am a Learning Skills Specialist in math and chemistry at our local Community College), I suggest trying some free websites like the DESMOS graphing calculator and Wolfram-Alpha which will answer almost any math problem (though not always in the format I'd like when you get to Calc II and parametrics/polar coordinates). If I misinterpreted the question, please forgive my ignorance....
I use Mathematica exclusively. That said, I have seen a free package called Geogebra ( which looks extremely impressive; I just haven't taken the time to learn it. Were I in high school and had no access to Mathematica, I would give this a try.
I would take a look at Sage ( It's a Python-based system that combines a lot of free and open-source math software (including SymPy and NumPy). The graphical interface runs in a web browser. You can try it without installing anything.
Beware anything commercial: if your highschooler has access to such software, can you guarantee he or she will continue to do so? Imagine going to college and no longer being able to use the stuff you've gotten used to. Free software can't be taken away, so if you learn how to use such a tool, you can take it with you wherever you go.
An open source competitor to MATLAB / Octave that has gained a lot of traction this past year is Julia. Julia performs at speeds of C/C++ with a syntax that is similar to MATLAB. Julia also has a package management system similar to R but, for now at least, with far fewer packages than R.
A lot of math teachers in the twitterverse like brilliant.org
From their website: Brilliant.org provides a challenging intellectual environment to anyone with internet access and a passion for mathematics and physics. By connecting motivated thinkers worldwide, Brilliant.org aims to be a hub where the worlds most promising minds recieve the opportunities they deserve, no matter where they are from.
(what passes for credentials: D.Phil in theoretical physics, particularly numerical simulation, and undergraduate physics teacher for a few years)
MatLab and Octave are very similar (Octave is an open-source version of MatLab); they're simple programming language that specialize in numerics, particularly matrix manipulation. Neither, last time I used them (I taught a course in computational physics using matlab and tried to run student code in octave) is particularly strong with symbolics. In other words, if you want a number for an answer, they're okay...
...but honestly if you want a number for an answer, I think as a high-schooler you'd be better off learning Python and using the Numpy/Scipy libraries. That way you have a real general-purpose language to use for lots of other things. Matlab and Octave are okay, but they're terrible programming languages (I did my thesis research in Python/numpy; it's very capable).
For symbolic math, Mathematica is the commercial standard and a lot of people swear by it. For high school math where you're typically doing fairly straightforward symbolic work ("Integrate x^2 + 2x+ 1"), something like Mathematica is useful...
...but for whatever reason, I personally can't stand it and wound up using Maxima ( which is an OSS symbolic math tool. It's not the easiest thing to learn, but if it can handle multipole expansion of tensors for me, it would do just fine for a high-schooler, plus would cost them nothing so they could use it for life.
Python has a symbolic library too (SymPy) but for just playing with concepts, I still recommend Maxima, particularly with one of the great front-ends (I personally use Emacs with iMaxima ( but I'm not sure I'd saddle a high-schooler with emacs unless they were really into computers).
So my recommendations: Python/Numpy for numerical work, Maxima for symbolic work. Good solid tools, multiplatform so good on any computer and free to boot. Just what high school needs. |
...
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This Book
provides thorough coverage of first-year college math, including algebraic, trigonometric, exponential, and logarithmic functions and their graphs. Includes solutions of linear and quadratic equations, analytic geometry, elementary statistics, differentiation and integration, determinants, matrices, and systems of equations. Problem-solving strategies are included at the beginning of every chapter for each topic covered.
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Founded in 1959, Research & Education Association is dedicated to producing the finest and most effective digital and print materials in educational publishing, including some of America's most popular test preps and study aids. REA's wide-ranging catalog is a leading resource for teachers, students, and professionals.
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HOW TO USE THIS BOOK
This book can be an invaluable aid to students in pre-calculus as a supplement to their textbooks. The book is subdivided into 55 chapters, each dealing with a separate topic. The subject matter is developed beginning with algebraic, trigonmetric, exponential, logarithmic functions and their graphs and extends through linear and quadratic equations, analytic geometry, elementary statistics, differentiation and integration, determinants, matrices, and systems of equations. An extensive number of applications have been included, since these appear to be most troublesome to students.
Each chapter in the book begins with a section entitled "Basic Attacks and Strategies for Solving Problems in this Chapter." This section explains the principles which are applicable to the topics in the chapter. By reviewing these principles, the student can acquire a good grasp of the underlying techniques and strategies through which problems related to the chapter may be solved may not be clear to you at the time.
2. Then locate the topic you are looking for by referring to the "Table of Contents" in the front of this book. After turning to the appropriate chapter, read the section "Basic Attacks and Strategies for Solving Problems in this Chapter." This section is a review of the important principles related to the chapter, and it will help you to understand further how and why problems in the chapter are solved in the manner shown |
Holt McDougal Mathematics for Grades 6, 7, and 8 offers comprehensive instruction, assessment and intervention tools for complete coverage of the Common Core State Standards. Features throughout the textbook provide opportunities for students to master the Standards for Mathematical Practice.
For Student
> 學生用書 Pupil Edition
Our STEM content is a seamless supplement to your math classrooms.
Grade 6
ISBN 978-0-547-64716-6
Grade 7
ISBN 978-0-64717-3
Grade 8
ISBN 978-0-64719-7
Provides practice of all Common Core Standards for Mathematical Content and Standards for Mathematical Practice, and assessment and intervention support needed to reach and teach all students. |
Mathematical and Analogical Reasoning of Young Learners provides foundational knowledge of the nature, development, and assessment of mathematical and analogical reasoning in young children. Reasoning is fundamental to understanding mathematics and is identified as one of the 10 key standards for school mathematics for the new millennium. The book draws on longitudinal and cross-cultural studies, conducted in the United States and Australia, of children's reasoning development as they progressed from preschool through the end of second grade.
These Lecture Notes contain the material relative to the courses given at the CIME summer school held in Cetraro, Italy from August 29 to September 3, 2011. The topic was "Hamilton-Jacobi Equations: Approximations, Numerical Analysis and Applications".
In July 1996, a conference was organized by the editors of this volume at the Mathematische Forschungsinstitut Oberwolfach to honour Egbert Brieskorn on the occasion of his 60th birthday. Most of the mathematicians invited to the conference have been influenced in one way or another by Brieskorn's work in singularity theory. It was the first time that so many people from the Russian school could be present at a conference in singularity theory outside Russia
An accessible look at the hottest topic in physics and the experiments that will transform our understanding of the universe The biggest news in science today is the Large Hadron Collider, the world's largest and most powerful particle-smasher, and the anticipation of finally discovering the Higgs boson particle. But what is the Higgs boson and why is it often referred to as the God Particle? Why are the Higgs and the LHC so important? Getting a handle on the science behind the LHC can be difficult for anyone without an advanced degree in particle physics, but you don't need to go back to school to learn about it. In Collider, award-winning physicist Paul Halpern provides you with the tools you need to understand what the LHC is and what it hopes to discover.
Signal Processing for Intelligent Sensors with MATLAB, Second Edition once again presents the key topics and salient information required for sensor design and application. Organized to make it accessible to engineers in school as well as those practicing in the field, this reference explores a broad array of subjects and is divided into sections: Fundamentals of Digital Signal Processing, Frequency Domain Processing, Adaptive System Identification and Filtering, Wavenumber Sensor Systems, and Signal Processing Applications. |
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Mathematical Olympiad Treasures aims at building a bridge between ordinary high school exercises and more sophisticated, intricate and abstract concepts in undergraduate mathematics. The book contains a stimulating collection of problems in the subjects of algebra, geometry, trigonometry, number theory and combinatorics. While it may be considered a sequel to "Mathematical Olympiad Challenges," the focus is on engaging a wider audience to apply techniques and strategies to real-world problems. Throughout the book students are encouraged to express their ideas, conjectures, and conclusions in writing. The goal is to help readers develop a host of new mathematical tools that will be useful beyond the classroom and in a number of disciplines |
Course Description
MATH 015 C04W - Prealgebra - (3)
This course emphasizes prealgebra concepts and is designed to equip students with skills necessary to be successful in Math 025 Beginning Algebra. A review of arithmetic operations with whole numbers, Integers, and rational numbers integrating algebraic concepts such as vocabulary, simplifying variable expressions, solving linear equations, order of operations, exponents, radicals, ratios and precentages. Prerequiste: Placement test score. |
ALGEBRA+TRIGONOMETRY - 3rd edition
Summary: The new 3rd edition of Cynthia Young's Algebra & Trigonometry continues to bridge the gap between in-class work and homework by helping readers overcome common learning barriers and build confidence in their ability to do mathematics. The text features truly unique, strong pedagogy and is written in a clear, single voice that speaks directly to students and mirrors how instructors communicate in lectures. In this revision, Young enables readers to become independent, success...show moreful learners by including hundreds of additional exercises, more opportunities to use technology, and a new themed modeling project that empowers them to apply what they have learned in the classroom to the world outside the classroom. The seamlessly integrated digital and print resources to accompany Algebra & Trigonometry 3e offer additional tools to help users experience success201391.72 +$3.99 s/h
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Mathematics 12: Workplace and Everyday Life
A resource written specifically for the Workplace Mathematics for Everyday Life (MEL4E) course. Important mathematical concepts and skills are developed in relevant contexts by students in ways that make sense to them.
Easy-to-manage, consumable workbook that follows the format of McGraw-Hill Ryerson's Math Essentials 9 and 10 and Mathematics 11: Workplace and Everyday Life
Supports classroom management challenges through the use of multiple short lesson parts and varied lessons to support teacher directed/group hands-on work and individual work to ensure flexibility and focus |
ABC de Matlab y Simulink para Ciencias Aplicadas e Ingeniería
Written for introductory science courses, this book is intended for use as a supplementary guide for using mathematical calculations and graphical displays in a variety of uses.The book shows how MATLAB and Simulink can be used to provide rapid generation of mathematical calculations and graphs. Topics covered include operations with matrices, boolean analysis with arrays, complex numbers, and polynomials. |
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This Textbook
Overview
Part One: Differentiation in One Variable Calculus with Computers.
Using Calculus to Model Epidemics.
Linearity vs. Local Linearity.
Differential Equations and Derivatives.
Symbolic Increments.
Symbolic Differentiation.
Related Rates & Implicit Derivatives.
The Natural Log and Exponential.
Graphs and the Derivative.
Velocity, Acceleration, and Calculus.
Maxima and Minima in One Variable.
Part Two: Integration in One Variable
Basic Integration.
Symbolic Integration.
Applications of Integration.
Part Three: 3-D Geometry
Basic Vector Geometry.
Parametric Curves.
Graphs in Several Variables.
Part Four: Differentiation in Several Variables
Differentiation in Several Variables
Several Variable Optimization-CD.
Part Five: Dynamics
Discrete Dynamical Systems-CD.
Continuous Dynamical Systems in 1-D.
Continuous Dynamical Systems in 2-D.
Linear Dynamical Systems.
Equalibria of Continuous Systems.
Part Six: Infinite Series
Geometric Series.
Power Series.
The Edge of Convergence.
Part Seven: Appendices on CD
High School Review with Computing.
Complex Numbers.
Calculus: The Language of Change is the second edition of the materials formerly called Calculus Using Mathematica. The second edition is intended for students training for technical careers in areas from modern finance to engineering. The text provides core material in calculus, making full use of modern computing to accelerate learning of important topics. There are new drill exercises, and the book includes Maple V as well as Mathematica (Version 2.3) to give students basic proficiency in using either application. The author continues to emphasize thorough grounding in limits, derivatives, and integrals, especially in engineering applications. Materials include the core text, a softbound book of student projects, and a computer CD. The CD contains Mathematica 3.0 notebooks and Maple Version 4 worksheets that are fully integrated with the text. In addition, the CD contains some optional text topics and a background book explaining the theory behind calculus.
Editorial Reviews
Booknews
The core text in a new method of calculus instruction which emphasizes projects to motivate, intrigue and encourage students. Programs such as and are integrated throughout the text. The CD-ROM contains software to accompany the text and projects, optional topics not found in the textbook, and a complete handbook of background theory with complete proofs of all the theorems |
Beginning with the definition of a polynomial, polynomial multiplication and degree of polynomial products are introduced. Special products and factoring cubics are presented before modeling with polynomials is discussed.
Beginning with the definition of a polynomial, polynomial multiplication and degree of polynomial products are introduced. Special products and factoring cubics are presented before modeling with polynomials is discussed. |
computer scientists.
About the book
Description
In this book you find the basic mathematics that is needed by computer scientists. The author will help you to understand the meaning and function of mathematical concepts. The best way to learn it, is by doing it, the exercises in this book will help you do just that.
Preface
The aim of this book is to present some the basic mathematics that is needed by computer scientists. The reader is not expected to be a mathematician and we hope will find what follows useful.
Just a word of warning. Unless you are one of the irritating minority mathematics is hard. You cannot just read a mathematics book like a novel. The combination of the compression made by the symbols used and the precision of the argument makes this impossible. It takes time and effort to decipher the mathematics and understand the meaning.
It is a little like programming, it takes time to understand a lot of code and you never understand how to write code by just reading a manual - you have to do it! Mathematics is exactly the same, you need to do it.
AppendixNick.
★★★★☆
8 January 2013
Excellent Stuff. Intending to provide math in a nutshell for comp science.
Not sure where are the answers to provided exercises |
Goals: Our goals involve gaining an introduction to the
mathematical content of ordinary differential equations and their applications. This will include
analytical, qualitative and numerical methods for ordinary differential equations. Prior
to calculus, we used our understanding of the rules of algebra to develop techniques for solving
algebraic equations. In this class we will use both the rules of algebra and the rules of
calculus (e.g., differentiation shortcuts, integration techniques, etc.) to develop techniques
for solving differential equations. We will continue to improve our ability to write mathematics.
Why? The major application of calculus is posing, solving,
and understanding solutions of differential equations. Because many laws
of nature are equations involving rates at which quantities change, this idea is a
derivative, and equations containing derivatives are differential equations. So, in order to understand
the many processes of change in the world, one needs to understand differential
equations.
Evaluation: There will be weekly quizzes, occasional
take-home assignments, two exams, and a cumulative final exam. Homework will be assigned but
not collected. We will occasionally discuss the homework in class, but students are expected
to clear up questions using my office hours. Quizzes and tests will be closed-book
and administered in class. In-class quiz problems will be very similar to the
assigned homework problems. The final exam will be cumulative (and worth twice a mid-term
exam). No makeups will be given!
Grading Policy:
2 exams at 100 points each,
Quiz average out of 100 points, will drop 1 quiz score,
Comprehensive Final exam worth 200 points.
Students are required to take all exams at the
scheduled hour as they appear on the syllabus and course
schedule.
A missed exam will result in the final exam being worth 300 points. There will be no
late 'make-up' exams, as this is unfair to the rest of the class.
The quizzes will be based largely on the suggested homework, and
should be expected any day.
Everyone is allowed to miss one quiz without penalty (for any reason). If you end up taking all of the quizzes, you
may drop your low quiz score. Athletes or other individuals missing for school activities are to
let me know BEFORE missing the quiz (or it lands above).
Part of any correct write-up includes: connecting your work, proper notation, and an explanation
of steps as you see necessary. You should write-up problems as if you were explaining them to some
one else.
Your overall performance in the course is measured by the total number of points you accumulate
relative to the maximum 500 points possible. Your letter grade in this course will be based on the
distribution below.
These are the only points possible in this class, there is no extra credit (or 'make up'), your
asking for extra credit is a clear indication that you have not read your contract (this syllabus).
Total Class Points
Percent %
Letter Grade
Interpretation
470 - 500
94 to 100
A
Exceptional and Rare
450 - 469
90 to 93
B+
Outstanding
420 - 449
84 to 89
B
Very Good
390 - 419
78 to 83
C+
Good
350 - 389
70 to 77
C
Satisfactory - Average
300 - 349
60 to 69
D
Unsatisfactory
0 - 299
Below 60
F
Failure
Course Policies:
You are responsible for all that is announced or covered in class even if you are absent.
You are responsible for all the material in a given section unless told
otherwise, use the course schedule and suggested homework as a guide.
A prerequisite for additional help outside the classroom is regular class
attendance.
Every student is required to establish a class contact, that is, a fellow classmate that you
may contact in case you are having a problem with a particular homework exercise at night/weekend
or in the event you miss class you can get the class notes from them.
If you miss class, you are responsible for getting the notes from your 'class contact' (see above).
Email is great for simple communications, but more complex issues must be
handled in person.
Don't use email as an excuse to avoid personal contact.
Due to the overwhelming amount of email I receive, any email requests that involve more than
a yes or no response may not get addressed, please come see me in that case.
I expect you to read this syllabus and get clarification of any items you do not understand the
first week of class. If you send me an email asking me about something covered in this syllabus,
that email will be disregarded.
Calculators and Computers.
You may use a calculator/computer to help learn the material, but not on exams or quizzes.
There are several portions of the class that will require the use of a computer, however,
all of our examinations are carefully designed to be taken "closed
book" without the use of calculators or computers. Examination problems will
focus on the basic methods and problem solving techniques which every student of differential equations must
know without a calculator or textbook.
Important Dates to Remember:
Exam 1: Wednesday, April 3rd
Exam 2: Friday, April 26th
Final Examination: Wednesday, May 15th; 10:30 - 12:30
There will be a link to your grades from our class web-page
(these are NOT on blackboard). To check your grade login
with your (Mercyhurst) email address as user name and your student ID as your
password. You may change your password or email address once you have logged
in. Access to your grades will be further explained in class.
Homework
Suggested Homework:
I do not collect or grade
the homework. You will be held accountable for the mastery of homework problems via the quizzes (which
can occur any day). As such, you get no credit for merely attempting the homework, your goal is
independent mastery of each type of problem assigned. The quizzes serve as an immediate assessment of the
extent to which you mastered a particular assignment. Good quiz results should serve as positive
feedback, but poor quiz results mean you must go back and master that material.
Homework is far and away the single most important part of any mathematics
course because this is when most of the learning takes place. Homework
problems will be assigned regularly and I expect you to do them. If you are unable to do a problem
I expect you to find out how to do it.
You have at your disposal several means of meeting this expectation.
You can stick with it until you figure it out yourself.
You can discuss the problem with a classmate or several classmates (strongly encouraged).
You can ask me about the problem in class, time permitting.
You can see me individually during my office hours. I am always happy to talk to
you during my office hours or at any other time if not otherwise committed.
You can discuss the problem with anyone who can and is willing to help you.
Simply ignoring a problem that you are unable to solve is not acceptable.
You should continue to work problems of a given type (even beyond the assigned
problems) until you see the pattern yourself, without assistance of any type.
As you 'PRACTICE', keep in mind our stated goal 'to improve our ability
to write mathematics, you will want to practice in the manner you will
be accessed.
In keeping with college policy, any student with a disability who needs academic accommodations must
call Learning Differences Program secretary at 824-3017, to arrange a confidential appointment with the
director of the Learning Differences Program during the first week of classes. |
Edmonds Statistics
...Are you motivated to learn? Discrete mathematics is a blend of many different elements of logic, combinatorics and graph theory. I hold a Master's in Math Education and have coached many students through various Discrete math courses. |
Numerical Methods with VBA Programming
E...more Examples Include Comparing A Two-Point Boundary Value Problem To Determining When You Should Leave For The Airport To Catch A Scheduled Flight. Numerical Examples Are Accompanied By Closed-Form Solutions To Demonstrate Their Correctness. Within The Programming Sections, Tips Are Included That Go Beyond Language Basics To Make Programming More Accessible For Students. A Unique Section Suggest Ways In Which The Starting Values For Non-Linear Equations May Be Estimated. Flow Charts For Many Of The Numerical Techniques Discussed Provide General Guidance To Students Without Revealing All Of The Details. Useful Appendices Provide Summaries Of Excel And VBA Commands, Excel Functions Accessible In VBA, Basics Of Differentiation, And More!(less)
Paperback, 285 pages
Published
December 26th 2008
by Jones & Bartlett Publishers
(first published 2008) |
Linear Algebra Study Guide for Exam 1
I really suggest that you make flashcards for all the important definitions in this course.
There is a lot of new terminology and you need to know what I (or the problem) is asking
you to do. This class is hard for students when they do not memorize the definitions. I
will ask you to define various terms and answer True/False questions based on the theory
(similar to your homework). You may use a scientific calculator only on Exam 1. No
graphing calculators will be allowed.
Section 1.1 You need to know the definitions for or how to do/use the following:
Linear system
Solution to a linear system
Equivalent linear systems
Consistent linear systems
Inconsistent linear systems
Elementary row operations
Existence vs. uniqueness of a solution
Row reduce an augmented matrix to echelon form (REF)
Section 1.2 You need to know the definitions for or how to do/use the following:
Definition of Row Echelon form (REF) and Reduced Row Echelon Form (RREF)
Theorem 1
Pivot position and pivot column
Row reduction algorithm to REF and RREF
Basic vs. free variables
Parametric descriptions of solution sets
Back Substitution
Theorem 2
Section 1.3 You need to know the definitions for or how to do/use the following:
Definition of a vector, equality of vectors, vector addition, scalar multiplication
Geometric descriptions of vectors in R2 and R3
Parallelogram rule for vector addition
Vectors in Rn
Linear combinations
Algebraic properties of Rn
Solving vector equations using augmented matrices
Definition of a spanning set
Applications of linear combinations
Section 1.4 You need to know the definitions for or how to do/use the following:
Definition to multiply Ax on page 41.
Theorem 3
Existence of solutions to Ax=b
Theorem 4!!!!!!!!!
Row-vector rule for computing Ax
Theorem 5
Section 1.5 You need to know the definitions for or how to do/use the following:
Homogeneous linear systems
Trivial solutions vs. nontrivial solutions
How to determine if a homogeneous system has a nontrivial solution
Parametric vector form of the solution set
Theorem 6; understand the relationship between the solution to Ax=0 and Ax=b
Section 1.6 You need to know the definitions for or how to do the following:
Know how to do a problem like #1, #5 and #11.
Section 1.7 You need to know the definitions for or how to do/use the following:
Definition of linear independence – word for word!
Definition of linear dependence
How to tell if the columns of A are linearly independent
Linear independence relationships with a set of one or two vectors.
Theorem 7
Theorem 8
Theorem 9
Section 1.8 You need to know the definitions for or how to do/use the following:
Definition of a transformation from Rn to Rm
Domain, co-domain and range.
Matrix transformations
Definition of a linear transformation (very important!)
Equations 3 and 4 on page 77
Be comfortable with all the new notation as well as terminology in this section.
Section 1.9 You need to know the definitions for or how to do/use the following:
Theorem 10 – very important!!!!!!!
Have a good understanding of tables 1, 2 and 3 on pp. 85-87.
Definition of an onto mapping
Definition of a 1-1 (one to one) mapping
Theorem 11
Theorem 12
Section 1.10 Anything out of this section would be put on a take-home part of
the exam. I may not even do that.
To study for the exam, know the above list of topics. Do your homework. Review your
quizzes. Do the supplementary exercises on pp. 102-104 (odds are in the back of the
book |
For this chapter's Assignment Guide, click the Assignment Guide Tab at
the bottom of the spreadsheet
How To Use these Files
These files were created to allow you to edit, and customize them for your class.
To edit a file, you must download it to your machine and then post it to your class.
To Download – right click on the file link, choose "Save Target As," and save
the file to your machine.
To Edit – Open the file in the appropriate application – either MS WORD, or
Mathcad v. 11 or higher. Make the changes and resave the file.
Important: Should you choose to post a Mathcad solution for students,
we suggest saving it as an RTF file (in the Save As window), or as a Protected file
by choosing the "Protect Worksheet" option from the Mathcad Tools drop down.
These options limit students' ability to manipulate these files, limiting them
to view only.
MAC users – we have found the degree symbol often changes in the
Mac OS. You may want to type the word "degree" instead.
To Post – Save your file to your course for your students to access. To do so,
enter the Control Panel of your course. Choose the area where you would like to
post the file (such as Assessments or the OneKey Resources Section). Choose the
Add Item option and follow the steps to post your file.
Need Help? – Extensive on-line help is available by clicking the Help button
on-line or by calling our product support number at 1-800-677-6337. Or, try the
How Do I button found under the Control Panel button on your main course page.
You can also email engineering@prenhall.com for help, and to request a
step-by-step booklet to this system.
Chapter Problem # Difficulty Time (minutes)Concept
01 001 Easy 10 min. SI form and use of prefixes
01 002 Easy 10 min. SI form and use of prefixes
01 003 Easy 10 min. SI form and use of prefixes
01 004 Easy 10 min. SI form and use of prefixes
01 005 Easy 10 min. Understanding of correct SI prefixes v
01 006 Easy 10 min. Significant figures and the use of SI prefixes
01 007 Easy 5 min. Numerical calculation, significant figures and correct SI prefixes
01 008 Easy 5 min. Units conversion; English units to SI units
01 009 Easy 10 min. Units conversion, significant figures, use of SI prefixes
01 010 Easy 10 min. Mass to weight conversions; SI prefixes, significant figures
01 011 Easy 5 min. English v. SI units; conversion of mass
01 012 Easy 10 min. English v. SI units; conversion from wt. to mass, SI prefixes
01 013 Easy 10 min. Mass to weight conversions; SI v. English units
01 014 Easy 5 min. Units conversion; English units to SI units
01 015 Easy 5 min. Units conversion; English units to SI units
01 016 Easy 5 min. Force of gravity between 2 objects; SI units of mass and force
01 017 Medium 10 min. Force of gravity between 2 objects; SI units of mass and force
01 018 Medium 15 min. Mathematical evaluation, significant figures and SI prefixes
01 019 Medium 15 min. Mathematical evaluation, significant figures and SI prefixes
01 020 Medium 15 min. Mathematical evaluation, significant figures and SI prefixes |
Calculus for Dummies
The mere thought of having to take a required calculus course is enough to make legions of students break out in a cold sweat. Others who have no ...Show synopsisThe "can" master calculus. It's not nearly as tough as its mystique would lead you to think. Much of calculus is really just very advanced algebra, geometry, and trig. It builds upon and is a logical extension of those subjects. If you can do algebra, geometry, and trig, you can do calculus. "Calculus For Dummies" is intended for three groups of readers: Students taking their first calculus course - If you're enrolled in a calculus course and you find your textbook less than crystal clear, this is the book for you. It covers the most important topics in the first year of calculus: differentiation, integration, and infinite series.Students who need to brush up on their calculus to prepare for other studies - If you've had elementary calculus, but it's been a couple of years and you want to review the concepts to prepare for, say, some graduate program, "Calculus For Dummies" will give you a thorough, no-nonsense refresher course.Adults of all ages who'd like a good introduction to the subject - Non-student readers will find the book's exposition clear and accessible. "Calculus For Dummies" takes calculus out of the ivory tower and brings it down to earth. This "Calculus For Dummies" covers the following topics and more: Real-world examples of calculusThe two big ideas of calculus: differentiation and integrationWhy calculus worksPre-algebra and algebra reviewCommon functions and their graphsLimits and continuityIntegration and approximating areaSequences and series Don't buy the misconception. Sure calculus is difficult - but it's manageable, doable. You made it through algebra, geometry, and trigonometry. Well, calculus just picks up where they leave off - it's simply the next step in a logical progression764524984 Your purchase benefits those with...Fair. 0764524984 Your purchase benefits those with developmental disabilities to live a better quality of life. Your purchase benefits those with developmental disabilities to live a better quality of life. wear on edges and corners curling/bending of bottom edge of book creasing water stained/damaged on some pages minimal stains on edges may have highlighting or writing on some4524984 GREAT shape! May have some minor physical...Very Good. 0764524984 Calculus for Dummies
This difficult to understand branch of math was first introduced to me in a two year college as a REVIEW. Needless to say, I didn't get very far. Neither did the rest of the class except ONE (brilliant) student.
This text is excellent in its presentation, both in text and graphics. I wish this had been my textbook for the class!
I was in a jugle, a deep, dark, frightening jungle. The jungle of CALCULUS. Suddenly a light came in front. A subtle, fagile one but growing even larger and larger as I slowly crawled towards the middle of this book. Now I walk more confident, steping firmly with a backbone for dummies:-) I strongly recomend this book to everyone who have entered the financial area with weak mathematical skills |
Excellent mathematical exercises for students up through professional mathematicians
Although the Mathematical Olympiads are for high school students, the problems that appear on the exams are unusual and challenging enough to provide mathematical exercise for college students and professional mathematicians. One of the advantages of using these problems is that you know up front that the problem has a solution that involves only "elementary" mathematics. Therefore, with some proper direction, the problems can be used in classes in mathematical research and problem solving at the college level. If the goal is research, giving the student an appropriate Olympiad problem would be an excellent starting point and if the point is to solve challenging and doable problems, there are none better than those found in this and similar books. The problems in this book are those appearing in the USA Mathematical Olympiad and International Mathematical Olympiad competitions in the year 2005. The problems are stated in the first section, hints for solution appear in the next section, followed by the formal solutions. |
College Algebra and Trigonometry - 5th edition
Summary: This text provides a supportive environment to help students successfully learn the content of a standard algebra and trigonometry course. By incorporating interactive learning techniques, the Aufmann team helps students to better understand concepts, focus their studying habits, and obtain greater mathematical success.
Many new components added to this edition of College Algebra and Trigonometry have been designed to help students diagnose and review weak ...show morealgebra skills. Prerequisite review is include in the textbook (and supporting materials) so that instructors can spend less time covering review material and students can still fill in the gaps in their mathematical knowledge. ...show less
Section 7.1 The Law of Sines Section 7.2 The Law of Cosines and Area Section 7.3 Vectors Section 7.4 Trigonometric Form of Complex Numbers Section 7.5 De Moivre's Theorem Exploring Concepts with Technology: Optimal Branching of Arteries |
Cliffs Quick Review for Geometry - 01 edition
Summary: When it comes to pinpointing the stuff you really need to know, nobody does it better than CliffsNotes. This fast, effective tutorial helps you master core geometry concepts -- from perimeter, area, and similarity to parallel lines, geometric solids, and coordinate geometry -- and get the best possible grade.
At CliffsNotes, we're dedicated to helping you do your best, no matter how challenging the subject. Our authors are veteran teachers and talented wri...show moreters who know how to cut to the chase -- and zero in on the essential information you need to succeed. ...show less
Ed Kohn, MS is an outstanding educator and author with over 33 years experience teaching mathematics. Currently, he is the testing coordinator and math department chairman at Sherman Oaks Center for Enriched StudiesShopbookaholic Wichita, KS |
Find a Lazy Lake, FLCalculus branches into two sections, differential and integral calculus. In integral calculus, the student begins to understand how to find the area under a graph and interpret its meaning in various cases. As the student becomes more familiar with the subject, advanced analysis is taught to deal with differential equations |
Contains the keyword Mathematics--Study and teaching--Handbooks
"The overall goal of the handbook is to address the question of how to develop innovators in general and how to develop the innovative potential of today's young people with exceptional talents in science, technology, engineering, and maths (STEM) disciplines in particular." |
Introduction to Analysis
9781577662327
ISBN:
1577662326
Edition: 2 Publisher: Waveland Pr Inc
Summary: An Introduction to Analysis, Second Edition provides a mathematically rigorous introduction to analysis of real-valued functions of one variable. The text is written to ease the transition from primarily computational to primarily theoretical mathematics. Numerous examples and exercises help students to understand mathematical proofs in an abstract setting, as well as to be able to formulate and write them. The mater...ial is as clear and intuitive as possible while still maintaining mathematical integrity. The author presents abstract mathematics in a way that makes the subject both understandable and exciting to students.
Kirkwood, James R. is the author of Introduction to Analysis, published under ISBN 9781577662327 and 1577662326. One hundred eighteen Introduction to Analysis textbooks are available for sale on ValoreBooks.com, eight used from the cheapest price of $40.16, or buy new starting at $88.43.[read more] |
This course is the first of a two-course sequence that develops a deeper understanding and appreciation of the basic concepts of mathematics. Emphasis is placed on sets, logic, number bases, elementary number theory, introductory algebra, measurement including metrics, and problem solving. Upon completion, students should be able to communicate orally and in writing these basic mathematical concepts |
There is a newer edition of this item:
Describes and explains uses of equations, polynomials, the binomial formula, exponential functions, logarithms, and much more, with exercises and answers.
Over the years, Barron's popular and widely-used Easy Way books have proven themselves to be accessible self-teaching manuals. They have also found their way into many classrooms as valuable and easy-to-use textbook supplements. The titles cover a wide variety of both practical and academic topics, presenting fundamental subject matter so that it can be clearly understood and provide a foundation for more advanced study. Easy Way books fulfill many purposes. They help students improve their grades, serve as good test preparation review books, and provide readers working outside classroom settings with practical information on subjects that relate to their occupations and careers. All Easy Way books include review questions and mini-tests with answers. All new Easy Way editions feature type in two-colors, the second color used to highlight important study points and topic heads.
Most Helpful Customer Reviews
The device of attaching math problems to a story line, and showing the efforts of the characters to solve them, is the key to this book's unique appeal for younger kids who want to get into algebra (and can handle the abstract thinking required). It captures their interest and can be read relatively fast, though the algebra is not watered-down so the book naturally does require intelligence and careful attention. The story line presentation guarantees that the focus is on insight, a characteristic that sharply distinguishes this "Easy Way" series of books from typical high-school or college texts.
I bought this book because the story format intrigued me. However, as I went along the narrative wore thin. The exercises are good and there are some very clever ways in which concepts are introduced. This book can be a great tool if only some of the narrative can be shortened. If you need a book that gets to the point quickly and succinctly go with "Practical Algebra: A self-teaching guide" by Selby et al.
If you have (or are) that extra smart young kid, who always seems to be a grade (year) or two ahead of his/her class in maths, this book is certainly going to be perfect for him/her (as it was for me). This was the book that got me interested in Algebra. Downing takes the reader on an adventure, explaining the basics of algebra through a story, and progressing almost to the very apex of general algebra. (He doesn't cover every single aspect of general algebra - I recall one example: Synthetic Division, there are others.) But for a child, who's ahead of the rest, you don't need to have everything just yet. This book certainly won't appeal to adults or older teens (who will easily get bored and turned off by the underlying story), but it was a great introduction for me when I was just turning the decade mark. It really helps you to understand Algebra as more than a bunch of things to memorise; it makes you see applications in every aspect of life. Once you (or your child) have finished this book, you'll be thirsting for more, and that's when you move on to a more traditional textbook to fill in the "blanks". After that, algebra will be running through your veins. With this solid foundation, trigonometry and calculus will be much easier. (The author also wrote similar books on Trigonometry and Calculus. The Calculus book was quite poor because the story began to intrude on explaining the concepts properly. [By the time you are ready to take calculus on, you should use a traditional textbook - like Anton or Thomas.] The trigonometry book was quite good, but I feel none can match the brilliance of this book.)
My oldest child has begun to study algebra in school. Algebra, the Easy Way is a wonderful addition to her classroom studies. This book's approach explains the whys of algebra. It takes students beyond the "just memorize" it way of learning alegebra. To use this book effectively, I strongly suggest readers do some of the problems at the end of each chapter. You'll find the answers in the back of the book. Students who complete this book will be well on their way to being able to use algebra. My younger children have taken an interest in the book, too. The book's story approach has sparked their interest. Because of their young ages, they are moving more slowly through the book than the older child. Nonetheless, the book's approach has made algebra seem like a very natural idea to them. I highly recommend this book to anyone who has an interest in beginning the study of algebra.
I recieved a copy of this book in elementary school, one year before they were to put me into an algebra class. I first started reading it not because I was interested in mathematics, but because I liked fantasy novels. The way the characters get sucked into the explanation of the whys behind the relationships between numbers, etc... that was what made me become interested in mathematics too. Unfortunately when I started algebra I was way ahead of the other kids in the class and found myself bored and unimpressed by the way the teacher took something so interesting and made it simply dull busy work. But I learned something important from this book -- I didn't need teachers to learn mathematics. I soon found myself learning calculus during my freshmen year of high school and when it came time to apply for college, guess what my major was? You got it - Math... I attribute it all to this book -- this is where my love of math began. So on one hand, you'll learn algebra and possibly find yourself with a passion for math, but you may also find yourself bored and ahead of your classmates as well.
I am also an adult wanting to refresh long unused skills. One good thing about this is that each chapter has a reasonable number of problems and answers, so it's not intimidating in that way. But I could also do without the fantasy story. This would probably appeal to a young person in JHS or HS who's taking algebra and needs to review, but I just want to cut to the chase and will be looking for another book.
I have never been a math dummy and bought this book because my daughter is going into the subject area in school and I thought I'd retool my skills to be able to help her. While the book is written in storybook style and is, at first, amusing, the approach wears thin after a couple of chapters and you find yourself wishing the authors would just get to the point. Later you wish they would provide a little more explanation and a few more examples for the more complex topics in the book. Often, the chapters that are very short present a lengthy series of problems for you to solve, the complexity of which goes well beyond the thin explanations and examples the authors provide in the book. Sadly, the authors chose not to provide step-by-step solutions for the more complicated problems in the exercise sections. Overall, this book is greatly disappointing and I recommend you don't waste valuable money buying it. It won't lead you to any clear understanding of the subject matter at all. It will, however leave you wishing you'd spent your money on something more useful. A final note: I also purchased their book, Trigonometry The Easy Way before I worked with Algebra The Easy. The former is just as poorly composed as the one under discussion here. |
Mathematics Department
Posted on august 16, 2012
The Mathematics Department assumes the responsibility to help each student acquire the skills, attitudes, understanding and knowledge of mathematics which will prepare him/her to live in the world of today and tomorrow. The department provides a variety of courses to encourage each student to develop to his/her highest potential according to individual mathematics abilities. |
This is a short eBook that describes how to get free high school Algebra 1 help online without having to spend any money, buy anything, join any free trials, or anything like that. Free High School Algebra 1 Help Online | Algebra 1 Help.org.
A short ebook explaining a simple way to subtract integers for people who have trouble subtracting integers. This uses a method based on simply changing a subtraction problem to an addition problem based on helping people with algebra. How to Subtract Integers Without Getting Confused | Algebra 1 Help.org |
An Introduction to Mathematical Cryptography is an advanced
undergraduate/beginning graduate-level text that provides a
self-contained introduction to modern cryptography, with an emphasis on the
mathematics behind the theory of public key cryptosystems and digital
signature schemes. The book focuses on these key topics while developing
the mathematical tools needed for the construction and security analysis
of diverse cryptosystems. Only basic linear algebra is required of the
reader; techniques from algebra, number theory, and probability are
introduced and developed as required.
The book covers a variety of topics that are considered central to
mathematical cryptography. Key topics include:
an in-depth treatment of important recent cryptographic innovations,
such as elliptic curves, elliptic curve and pairing-based
cryptography, lattices, lattice-based cryptography, and the NTRU
cryptosystem.
Additional topics, including hash functions, pseudorandom number
generators, zero-knowledge proofs, quantum computation, and DES/AES,
are briefly described in the final chapter. This book is an ideal
introduction for mathematics and computer science students to the
mathematical foundations of modern cryptography. The book includes an
extensive bibliography and index; supplementary materials are
available online. |
How to Design using ProEngineer will help students at different CAD levels learn the basics to creating models in CAD, learn...
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How to Design using ProEngineer will help students at different CAD levels learn the basics to creating models in CAD, learn how to make start parts in Pro-E create sketches, and align planes, axis, csys, and dimensioning tool.
This site offers math practice for grade school students through GED preparation. There are ten general categories including...
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This site offers math practice for grade school students through GED preparation. There are ten general categories including number theory, equations, polynomials, fractions and decimals. Each category has options for both explanation and practice. There are also worksheets available for some of the categories. In the practice area the user can select the level of difficulty and receives an ongoing output of correct and incorrect answers. The site also provides class games.
This site contains a tutorial on investing basics. It covers general information as well as information on investing in...
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This site contains a tutorial on investing basics. It covers general information as well as information on investing in stocks, bonds and mutual funds. It is part of a much larger site on investing and personal finance. |
Learn Calculus the Intuitive Way
The purpose of this site is to help you learn calculus in an intuitive way. What does that mean? It means that you get the intuition behind every concept and formula. To learn this way sometimes takes more time, and can sometimes be harder. I believe, though, there are some really attractive advantages to this approach:
It is more fun to learn this way. Rote memorizing and solving routine problems like a machine takes out the pleasure from learning. Understanding the intuitive idea that inspired Newton to invent the notion of derivative is rewarding at a different level.
You will remember the material far better.
You will develop intellectual skils that will serve you for life. Trying to understand the intuitive idea behind a concept or a formula sometimes requires more effort than simply memorizing it, but the effort is intellectual training.
In this site you will find explanations and examples that I consider more intuitive that the standard way of presenting the concepts. Sometimes I give algebraic deductions when they are necessary, but I focus mostly on the intuition, and then on solving standard problems that you find on textbooks and calculus exams.
Whether you are at high-school or college taking a calculus course, preparing for a standarized test, or self-studying calculus just for fun, you can tremendously benefit from this website. You can use it to complement your textbook or course material, or use it as your main learning resource.
Learning calculus takes some time and dedication. I hope, though, that this site helps in making sure that work isn't tedious or boring.
Where to Begin?
This site covers all the topics in a first calculus course, and it is expanding to cover topics beyond that. If you are already taking a course in school, you can immediatelly visit the topics you didn't really understand, or the ones you need a little help with.
There is a lot of material, and you can use the search function that is in the left column to find what you need.
Even if you think you understood a topic well, I recommend you to visit the pages about them. The intuitive approach that I use may help you gain another perspective. Be sure to bookmark this site, or even better, subscribe to my free e-zine to receive weekly study tips and other bonuses.
If you have no clue about where to start, follow the sequece:
Functions: This topic is not usually covered in a calculus course. Understanding functions and knowing how to deal with them is essential for a real understanding of calculus, though.
Limits: This is the topic most calculus courses start with. The idea of limits is the basic underlying theme in calculus. Spend some time on these pages if you want to deeply understand this idea.
Derivatives: The derivative, together with the integral, form the inseparable duo in calculus. The derivative can be seen as a generalized slope, or rate of change. It is essential in all sciences.
Integrals: The integral generalizes the idea of area. As the derivative, it is essential for all sciences. Immerse yourself in these pages to understand this concept and get some practice solving problems.
In all these pages you will learn about these concepts by first forming an intuition, then solving common problems that apply these concepts.
Who am I?
My name is Pablo Antuna and I'm just a guy passionate about math and teaching. I decided to create this site so I can teach calculus the way I wish I had been taught it, and to share my passion for it. You can learn more about me in the about page. |
Math-in-CTE Lesson Plan
Lesson Title: Maximizing Profits Lesson # 7
Author(s): Phone Number(s): E-mail Address(es):
Skip Walker 720-423-6100 James_walker@dpsk12.org
Dana Starbuck
Occupational Area: Business
CTE Concept(s): Break Even Analysis
Math Concepts: Solving Algebraic Equations & Linear Programming
Lesson Objective: After completion of this lesson, the student should be able to
compute low level breakeven points and complex breakeven points
using linear programming
Supplies Needed: Linear Programming Paper
Linear Programming Worksheet
Worksheet Answer Key
Graphing Review Sheet (if needed)
THE "7 ELEMENTS" TEACHER NOTES
(and answer key)
1. Introduce the CTE lesson. Discuss the definition of:
Many manufacturers produce several Maximize: To increase or make as
products, they need to make enough of each great as possible or to find the largest
product to meet their customers need and value of a function
best utilize their use of materials, labor, and
Linear Programming: A mathematical
machinery.
technique used in economics; finds the
As a manufacturer you need to decide which maximum or minimum of linear functions
products to produce that will maximize your in many variables subject to constraints
profits. This is done through a process
Break-even Point: The point, especially
called Linear Programming
the level of sales of a good or service, at
Before we can discuss maximum profits, we which the return on investment is exactly
must first find out when the manufacturer will equal to the amount invested.
begin making a profit. This is called the
*Break-even point has previously been
Break-even Point
discussed*
2. Assess students' math awareness as it Break-even Point: Income=Expenses
relates to the CTE lesson.
Equation: 3x + 18,000 = 15x
To assess student's math background, give a -3x -3x
short warm-up quiz with questions relating to 18,000 = 12x
Break-even. 12 12
What is the formula for Break-even Point? X = 1500
Try this problem: We are making widgets: That is, 1500 Widgets need to be sold to
variable costs $3 per widget; fixed costs total make a profit.
$18,000; and we are selling them for $15
each. What would the breakeven point be?
3. Work through the math example embedded Linear Programming Paper has been
in the CTE lesson. included; it is nice to be able to do the
Otto Toyom builds toy cars and toy trucks. problem at the top of the page, while
Each car needs 4 wheels, 2 seats, and 1 gas having the graph paper included.
tank. Each truck needs 6 wheels, 1 seat, and Constraint: The state of being restricted
3 gas tanks. His storeroom has 36 wheels, or confined within prescribed bounds.
14 seats, and 15 gas tanks. He makes $1.00
on each car and $1.00 on each truck he KEY:
sells. 2. Wheels [4x + 6y ≤ 36]
What combination of cars and trucks will In English, this equation says that each
maximize Otto's profit? car needs 4 wheels, each truck needs 6
Steps we must take to solve this problem: wheels and together they can not add to
be more than 36 (which is the number of
1. Pick variables. wheels Otto can hold in his storeroom).
Let x = # cars and y = # trucks.
Seats [2x + y ≤ 14]
2. Write inequalities that model each
constraint. Gas tanks [x + 3y ≤ 15]
3. Graph each constraint. 3. Graphing inequalities will need to be
reviewed with students. (See attached
4. Calculate intersections of each inequality. sheet for further review).
(Using Systems of Equations)
Students will also need to understand
5. Write a Profit Equation. why we are looking at graphs only in the
6. Substitute each ordered pair from Step #4 first quadrant (where x and y are both
into the profit equation from step #5. positive). Explain that there is no way for
Determine which ordered pair has the Otto to make a negative number of either
highest profit. This is the Linear Combination cars or trucks, thus x and y must both be
that maximizes the profit! positive.
4. Students must know that ANY
maximum or minimum will occur at one of
the vertices. (These are the intersections
of the inequalities). Solving Systems of
Equations will need to be reviewed with
students. (See attached for further
review).
Intersections: (6, 2), (3, 4), (5.4, 3.2)
use (5, 3) since you can't make a fraction
of a car or truck.
5. Profit = 1x + 1y
6. Max Profit:
(6,2) Profit = $8
(3, 4) Profit = $7
(5, 3) Profit = $8
So Max occurs either with 6 cars and 2
trucks or 5 cars and 3 trucks.
4. Work through related, contextual math-in- KEY:
CTE examples.
Profit = 1x + 2y
Truck drivers have just become popular
because of a new TV series called "Big Red (6,2) Profit = $10
Ed." Toy trucks are a hot item. Otto can now (3, 4) Profit = $11
make $2.00 per truck though he stills gets
(5, 3) Profit = $11
$1.00 per car. He has hired you as a
consultant to advise him, and your salary is a So now, the Max occurs either with 3 cars
percentage of the total profits. What is his and 4 trucks or 5 cars and 3 trucks.
best choice for the number of cars and the
number of trucks to make now? How can you
be sure? Explain.
5. Work through traditional math examples. USE LINEAR PROGRAMMING PAPER
The Smiths have a small farm where they FOR WORK.
grow corn and tomatoes for sale. They have 1. Let x = the number of acres of corn
a total of 21 acres available for planting. planted and y = the number of acres of
Because they cannot afford to pay a lot for tomatoes planted.
help, they have many restrictions based on 2. Write inequalities which represent the
their labor. They have a total of 150 hours restrictions on the land available. (x + y ≤
available for planting and 130 hours available 21)
for harvesting. Each acre of corn takes 6 The time available for planting:
hours to plant and 4 hours to harvest. Each (6x + 10y ≤ 150)
acre of tomatoes takes 10 hours to plant and The time available for harvesting:
10 hours to harvest. A local grocery chain (4x + 10y ≤ 130)
has agreed to purchase 3 acres worth of The arrangement made with the grocery
tomatoes. chain: (y ≥ 3)
If each acre of corn can be sold for $600 and 3-4.Graph the system you found in part
each acre of tomatoes can be sold for $800, (a) and find the vertices: (Vertices (x ,
how many acres of each type should the y): (0, 3); (18, 3): (15, 6); (10, 9); (0, 13))
Smiths plant? 5. Profit = 600x + 800y
6. Substitute each vertex into the Profit
equation:
(0,3) Profit = $2,400
(18,3) Profit = $13,200
**MAX**(15,6) Profit = $13,800
(10,9) Profit = $13,200
(0, 13) Profit = $10,400
6. Students demonstrate their understanding. See Answer Sheets for completed
See Attached Linear Programming Graphs.
Worksheet Use with Linear Programming ANSWERS:
Paper (This assignment may take several
OIL:
nights as the problems can be challenging)
a. Profit=30T + 15C
b. T + C ≤ 40000; T + C ≥ 18000; 6C +
2T ≤ 120000
c. See graph
d. (Texas, Calif.) = (40,000, 0)
Profit = $1200000
PARK:
a. x=old member; y=new member
Profit =10x + 8 y
b. x ≥ 0, y ≥ 0; x ≤ 9, y ≤ 8; 6 ≤ x + y ≤
1
15, y ≥ 3; y ≥ x, y ≤ 3x
2
c. See graph
d. No, you must have old members
because the graph isn't shaded at x =
0.
e. (old, new) = (9,6) Profit = $138
f. (old, new) = (1.5, 4.5) but since we
can't have 0.5 of a person, use (2, 4)
Profit = $52
g. Profit=10x + 12y (old, new) = (7, 8)
Profit= $166
AIRCRAFT:
a. x = Camel, y = Hippo
Profit = 300x + 200y
b. x + y ≤ 12; x ≤ 11, y ≤ 7; y ≤ 2x;
100x + 200y ≥ 1000
c. See graph
(Camel, Hippo) = (11, 1) Profit = $3500
7. Formal assessment. ANSWER:
You are working at a small art store and your X = Pastel Y= Watercolor
boss has decided to allow you sell some of Profit = 40x + 100y
your art. Your boss has determined that you Constraints: 5x + 15y ≤ 180; x + y ≤ 16;
can choose what combination of art you x ≥ 3, y ≥ 2
would like to sell, so that you can make the
most profit possible. Possible Maximum's: (3, 11); (3, 2); (6,
10); (14, 2)
1. Each pastel requires $5 in materials and
earns a profit of $40.
2. Each watercolor requires $15 in materials MAX: (6, 10) Profit =$1240
and earns a profit of $100.
3. You have $180 to spend on materials.
4. You plan to make at least 3 pastels and
at least 2 watercolors.
5. You can make at most 16 pictures.
What is the optimum number of pastels and
watercolors that produces the maximum
profit |
The Matrix Cookbook - K B Petersen and M S Peders These pages are a collection of facts (identities, approximations, inequalities, relations, ...) about matrices and matters relating to them. It is collected in this form for the convenience of anyone who wants a quick desktop reference . Lecture Notes Collection FreeScience.info ID767 Obtained from Keywords:Linear Algebra Downloads: 95
Matrix Problems - Chris Thiel Chapter 12 of the Precalculus text and Chapter 12 of the Honors Algebra 2 Trig text deal with matrices. Here we go over some of the applications of the wonderful world of the matrix. After some calculus, you may enjoy taking a course in LinearAlgebra! Keywords:matrix; linear algebra Downloads: 694
Course 0: Math for Computer Science (ArsDigita University) A basic introduction to the Calculus and LinearAlgebra. The goal is to make students mathematically literate in preparation for studying a scientific/engineering discipline. The first week covers differential calculus: graphing functions, limits, derivatives, and applying differentiation to real-world problems, such as maximization and rates of change. The second week covers integral calculus: sums, integration, areas under curves and computing volumes... Keywords:ars digita; calculus; linear algebra Downloads: 2,694 |
Convex optimization has an increasing impact on many areas of mathematics, applied sciences, and practical applications. It is now being taught at many universities and being used by researchers of different fields. As convex analysis is the mathematical foundation for convex optimization, having deep knowledge of convex analysis helps students and... more...
A provocative collection of papers containing comprehensive reviews of previous research, teaching techniques, and pointers for direction of future study. Provides both a comprehensive assessment of the latest research on mathematical problem solving, with special emphasis on its teaching, and an attempt to increase communication across the active... more...
Systems and their mathematical description play an important role in all branches of science. This book offers an introduction to mathematical modeling techniques. It is intended for undergrad students in applied natural science, in particular earth and environmental science, environmental engineering, as well as ecology, environmental chemistry, chemical... more...
Maths Problem Solving – Year 6 is the sixth book in the Maths Problem Solving series. The books have been written for teachers to use during the numeracy lesson. They cover the ?solving problem' objectives from the numeracy framework. This book contains three chapters; Making decisions, Reasoning about numbers or shapes and Problems involving... more...
Dig into problem solving and reflect on current teaching practices with this exceptional teacher's guide. Meaningful instructional tools and methods are provided to help teachers understand each problem solving strategy and how to use it with their students. Teachers are given opportunities to practice problems themselves and reflect on how they... more... |
Find a Billingsport, NJ PrecalculusA continuation of Algebra 1 (see course description). Use of irrational numbers, imaginary numbers, quadratic equations, graphing, systems of linear equations, absolute values, and various other topics. May be combined with some basic geometry. Emphasis on the ideas that lie behind dates, facts and documents |
Trigonometry - 3rd edition
Summary: Cynthia Young's 3rd Edition of Trigonometry focuses on revisions and additions including hundreds of new exercises, more opportunities to use technology, and themed modeling projects that help connect content to real-world issues. The text builds upon the previous two editions with more in-depth and enhanced coverage on ways to help overcome common learning barriers in trigonometry and build confidence for readers. The text features truly unique, strong pedagogy and as with th...show moree previous two issues, is written in a clear, single voice64802304706480113 |
In September 2010, funding was received from the National Science
Foundation to develop, field test, refine, and bring to publication
a new course, Transition to College Mathematics and Statistics (TCMS).
This problem-based, inquiry-oriented, fourth-year high school mathematics
course is intended for students who do not plan to major in the mathematical,
physical, or biological sciences or engineering.
The TCMS course is designed for the large number of students
planning to major in college programs that do not require
calculus. For these students, many school districts have
little to offer as a transition to college mathematics and
statistics, other than a precalculus course. Many of these
students opt out of mathematics their senior year. But data
show that students who are not enrolled in a mathematics
course their senior year are much more likely to be placed
in a remedial (non-credit bearing) course upon admission
to college. In some schools, students may elect to take a
statistics or discrete mathematics course—courses that
frequently do not provide the mathematical content to be
successful on current college placement tests.
The Transition to College Mathematics and Statistics course
provides an effective way of addressing the needs of schools
in increasing numbers of states requiring four years of
high school mathematics, including a course beyond algebra
II or its equivalent. It will also provide an effective way of helping
schools meet the Common Core State Standards (CCSS), particularly
the Mathematical Practices standards.
For states or school districts that do not have a four-year mathematics
requirement, it is anticipated that the TCMS course content, with
its realistic problems and projects and relevant applications and
appropriate use of technology tools, will stimulate more college-intending
students to elect a fourth year of mathematics.
The TMCS course is designed as a capstone course for both conventional
and integrated high school mathematics programs. Students who complete
three high school mathematics courses designed to meet the CCSS together
with the proposed TCMS course will be well-prepared for two-year or
four-year college programs that do not require calculus and also for
training programs leading to career-level jobs.
TCMS-Tools
A companion suite of mathematical and statistical software
tools, called TCMS-Tools, is freely available for Transition to
College Mathematics and Statistics.
Availability
Transition to College Mathematics and Statistics is being
published by McGraw-Hill
Education in both print and digital formats. Contact your local
McGraw-Hill representative for further details.
This material is based upon work supported, in part, by the National Science Foundation under grant no. DRL-1020312. Opinions expressed are those of the authors and not necessarily those of the Foundation. |
Fundamentals of Trigonometry - 9th edition
Summary: Taking a unit-circle first approach, this proven book helps students learn, understand, and appreciate trigonometry without compromising mathematical integrity. The book incorporates the use of the graphing calculator (although use of the graphing calculator is not required). Numerous application problems are used throughout to help motivate students toward success in learning trigonometry.
Step-by-step ...show moreexplanations accompany the examples and help students better understand the material.
Graphics and scientific-calculator exercises are integrated within the text so students can apply the latest technology.
The book features more than 1,000 pieces of mathematically precise artwork and figures.
This edition places a greater emphasis on technology and graphing calculators, set up in a flexible format so professors can use as much or as little as desired.
The appendix contains problem-solving exercises using the TI-82/83.
Chapter one has been reworked as a stand-alone, optional review chapter.
Expanded discussion exercises. New "Discussion Exercises" have been added at the end of each chapter to promote further exploration of concepts and group work.
Increased number of modeling applications.
Color is used pedagogically to clearly distinguish parts of figures and includes matching, color-coded labels.
New discussion exercises at the end of each chapter to promote further exploration of concepts and group work.
Many engaging new exercises require students to estimate, approximate, interpret a result, create a model, explore, or find a generalization. Overall, there are an increased number of modeling applications.
The Law of Sines. The Law of Cosines. Trigonometric Form for Complex Numbers. De Moivre's Theorem and nth Roots of Complex Numbers. Vectors. The Dot Product. Chapter 4 Review Exercises. Chapter 4 Discussion Exercises.
Ex-Library Book - will contain Library Markings. Book has some visible wear on the binding, cover, pages. Biggest little used bookstore in the world.
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Main Navigation:
THE COMPETITION
The contest consists of two parts: a two-stage individual competition
called FERMAT
(Fundamental
Exams of
Remarkable
Mathematical
Ability
and Talent),
and a Math Bowl
team competition. All questions and problems assume preparation in
Algebra I, Algebra II, and Geometry. Calculators are not permitted.
The day will also include recreational mathematical activities, campus tours,
and opportunities to gather information about majors, departments, the university,
and careers in mathematics and the mathematical sciences.
All contest participants begin the day by completing a one-hour multiple-choice
exam called FERMAT I, which is then machine graded.
During FERMAT I, the Department of Mathematics will offer a presentation of interest to
high school teachers and chaperones. The participants who score in the top 50 on FERMAT I
advance to the second stage of the competition, FERMAT II,
after lunch. FERMAT II consists of essay-type mathematical problems which demand uncommon
creativity and originality in their solutions. These exams are hand-graded by members of
the Mathematics Department faculty.
The Math Bowl team competition is an exciting double
elimination tournament in the style of the Scholars Bowl. In each match of the
competition, two three-member teams compete against one another by using a
buzzer system to answer 10 questions. A point is awarded to a team each time it
answers a question correctly in the time allotted after its buzzer sounds.
Each team must lose 2 matches before it is eliminated from the tournament.
Teams will be classified according to the size of their high school (large or small).
Awards will be given to two divisions of teams, based on school size,
but schools will compete against one another regardless of division. Here
are some Math Bowl example problems. Calculators
may not be used during the Math Bowl. This competition will take place between the
FERMAT I and FERMAT II competitions and after FERMAT II, while the grading of each exam
takes place.
The Awards
Immediately following the championship round of the Math Bowl (about 4:00
p.m.), awards are presented as follows:
Engraved Plaques to students who score in the top 5 on FERMAT I,
Engraved Plaques and four-year, in-state scholarships at $6,000 per year
to the University of Tennessee, Knoxville, to students who score in
the top 10 on FERMAT II,
Trophies and Individual Medals to the top two teams in each of two divisions
(based on school size) of the Math Bowl.
Previous winners of scholarships may compete again, but they will
not deprive another participant of a scholarship. Certificates of Participation
for each student, an award for the top FERMAT I scorer from each high school,
and Certificates of Merit for the top 50 finalists of FERMAT I are mailed
to each school along with statistical results of the exams.
Enrollment
The size of the contest will be limited to 1,000 students and 64 math bowl
teams. Each high school may register up to 30 students, and three of its
participants may form a math bowl team. If 64 math bowl teams have
not registered and paid their fees by October 30th 2014, each high
school will be permitted to enter a second team in the tournament.
At the time of registration, each high school should indicate the number
of teams it would like to enter. The tournament bracket is filled
based on the date each team was registered. You will be notified by
mail of the number of teams which were entered for you into the tournament. |
Fundamentals of Algebra and Trigonometry - 9th edition
Summary: This classic in the series of highly respected Swokowski/Cole mathematics texts retains the elements that have made it so popular with instructors and students alike: it is clearly written, the time-tested exercise sets feature a variety of applications, its exposition is clear, its uncluttered layout is appealing, and the difficulty level of problems is appropriate and consistent. Now this Ninth Edition of Fundamentals of Algebra and Trigonometry has been impr...show moreoved in three important ways. First, discussions have been rewritten to enable students to more easily understand the mathematical concepts presented. Second, exercises have been added that require students to estimate, approximate, interpret a result, write a summary, create a model, explore, or find a generalization. Third, graphing calculators have been incorporated to a greater extent through the addition of examples and exercises as well as the inclusion of a cross-referenced appendix on the use of the TI-82/83. All of this has been accomplished without compromising the mathematical integrity that is the hallmark of this text. ...show less
1997-01-11 Hardcover Good Names on inside cover and numbers on bookedge; no other internal marking/highlighting.
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ron's New Jersey Ask 6 Math Test (Paperback)
Updated to align with the Common Core State Standards, this book reviews the sixth grade math curriculum for the required New Jersey State math assessment test. Five subject review chapters cover: the Number System, Geometry, Expressions and Equations,......more
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Updated to align with the Common Core State Standards, this book reviews the sixth grade math curriculum for the required New Jersey State math assessment test. Five subject review chapters cover: the Number System, Geometry, Expressions and Equations, Statistics and Probability, and Ratios and Proportional Relationships. Added features include:
An explanation and overview of the Common Core Standards for Mathematics |
Related Products for Quantitative Aptitude
Description of Quantitative Aptitude
A must have for every student who has registered for
competitive exams or job interviews, this best-seller is an
all-inclusive guide to mathematical success
Pronounced the Bible for hopeful mathematicians, Quantitative
Aptitude instructs in a broad range of subjects. It is constituted
of two sections: Arithmetic Ability and Data Interpretation
Featuring detailed examples and exercises, it thoroughly applies
itself to the major aspects of the subject: HCF/LCM, Decimal
Fractions, Profit and Loss, Time and Distance, Chain Rule, Surds
and Indices, Age Problems, Simple and Compound Interest,
Probability, Heights and Distances, Volume and Surface Areas and
Permutations and Combinations, under the broad umbrella of
Arithmetic Ability.
Under Data Interpretation, the book covers Line Graphs, Bar
Graphs, Tabulation and Pie Charts.
It is a useful guide and classic manual.
Contents
Section–I ARITHMETICAL ABILITY
Numbers
H.C.F. & L.C.M. of Numbers
Decimal Fractions
Simplification
Square Roots & Cube Roots
Average
Problems on Numbers
Problems on Ages
Surds & Indices
Percentage
Profit & Loss
Ratio & Proportion
Partnership
Chain Rule
Time & work
Pipes & Cistern
Time & Distance
Problems on Trains
Boats & Streams
Alligation or Mixture
Simple Interest
Compound Interest
Logarithms
Area
Volume & Surface Areas
Races & Games of Skill
Calendar
Clocks
Stocks & Shares
Permutations & Combinations
Probability
True Discount
Banker's Discount
Heights & Distances
Odd Man Out & Series
Section–II DATA INTERPRETATION
Tabulation
Bar Graphs
Pie Charts
Line Graphs
About the Author: RS Aggarwal
RS Aggarwal is a graduate of Kirorimal College, New Delhi. He
took a position at N.A.S. College as a teacher following his post
graduation in Mathematics in the year 1969.
Product Details Of Quantitative Aptitude
Title:
Quantitative Aptitude
Author:
R.S.Aggarwal
ISBN:
8121924987
ISBN-13:
9788121924986
Binding:
Paperback
Publisher:
S Chand Publishers
Number of Pages:
726
Language
English
Edition
17th |
Includes the following topics: factoring, algebraic fractions,
radicals and rational exponents, complex numbers, quadratic
equations, rational equations, linear equations and inequalities in
two variables and their graphs, systems of linear equations and
inequalities in two variables and their graphs, systems of linear
equations and inequalities, introduction to functions, and
applications of the above topics.
The lab portion of this course consists of individualized,
integrated review labs as well as lab assignments that supplement
course concepts. All are to be completed by using the physical or
virtual Math Lab. Students are expected to use the Math Lab on
average one hour each week.
Program Learning Outcomes:
This course does not satisfy program requirements. It may, however,
satisfy elective credits in some programs.
Course Learning Outcomes:
At the end of the course, the student will be able to solve problems
related to
• factoring;
• algebraic fractions;
• radicals and rational exponents;
• complex numbers;
• quadric equations;
• rational equations;
• linear equations and inequalities in two variables and
their graphs;
• systems of linear equations and inequalities;
• introduction to functions;
• and applications of the above topics |
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 |
Math is often taught with examples and unexplained rules. Discover the reasons for solving math problems with this easy to read discussion of how and why math works, and why we should care! Multiple examples help give students a clear picture of how each step in the math process works, from counting all the way to calculus. This complete overview will provide new perspectives on familiar concepts while providing a step by step progression to advanced concepts. 340 indexed pages, softcover. High school.
Customer Reviews for Understanding Mathematics: From Counting to Calculus
This product has not yet been reviewed. Click here to continue to the product details page. |
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Starting at $136 Elayn Martin-Gay firmly believes that every student can succeed, and her developmental math textbooks and video resources are motivated by this belief. Basic College Mathematics with Early Integers, Second Editionwas written to help students effectively make the transition from arithmetic to algebra. The new edition offers new resources like the Student Organizerand now includes Student Resourcesin the back of the book to help students on their quest for success. #xA0; MyMathLabprovides a wide range of homework, tutorial, and assessment tools that make it easy to manage your course online. #xA0;
Table of Contents
1. The Whole Numbers
1.1 Tips for Success in Mathematics
1.2 Place Value, Names for Numbers, and Reading Tables
1.3 Adding Whole Numbers and Perimeter
1.4 Subtracting Whole Numbers
1.5 Rounding and Estimating
1.6 Multiplying Whole Numbers and Area
1.7 Dividing Whole Numbers
Integrated Review-Operations on Whole Numbers
1.8 An Introduction to Problem Solving
1.9 Exponents, Square Roots, and Order of operations
Group Activity
Vocabulary Check
Highlights
Review
Test
2. Integers and Introduction to Variables
2.1 Introduction to Variables and Algebraic Expressions
2.2 Introduction to Integers
2.3 Adding Integers
2.4 Subtracting Integers
Integrated Review-Integers
2.5 Multiplying and Dividing Integers
2.6 Order of Operations
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review
3. Fractions
3.1 Introduction to Fractions and Mixed Numbers
3.2 Factors and Simplest Form
3.3 Multiplying and Dividing Fractions
3.4 Adding and Subtracting Like Fractions and Least Common Denominator |
Abstract: This article discusses deductive reasoning and proof being an
essential part of mathematics. In this article it discusses and discribes
a powerful technique that can be used by
students to do proofs.. All examples come from areas of high school mathematics
outside geometry and proofs are listed for students to do.
The National Council of Teachers of Mathematics is the public voice of mathematics education, supporting teachers to ensure equitable mathematics learning of the highest quality for all students through vision, leadership, professional development, and research. |
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