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Chapter 8. Working with Numbers
No matter what you do in AppleScript, numbers and math are everywhere—page layout automation, database interaction, and system administration; all require some kind of number manipulation. Some of my graphic-intensive scripts even forced me to pick up a trigonometry book and figure out triangles, sines, and cosines! Throughout the book, you will be attacking number problems and using the concepts covered in this chapter. |
More About
This Textbook
Overview
Building on the success of its first four editions, the Fifth Edition of this market-leading text covers the important principles and real-world applications of plane geometry, with a new chapter on locus and concurrence and by adding 150-200 new problems including 90 designed to be more rigorous. Strongly influenced by both NCTM and AMATYC standards, the text takes an inductive approach that includes integrated activities and tools to promote hands-on application and discovery.
Meet the Author
Daniel C. Alexander, now retired, taught mathematics at the secondary and college levels for over 40 years. His final 25 years of teaching were at Parkland College in Champaign, Illinois; before retirement, his position at Parkland College was as mathematics professor emeritus. Although Professor Alexander held undergraduate and graduate degrees from Southern Illinois University, he also completed considerable post graduate course work as well. He delivered many talks and participated in various panel discussions at mathematics conferences of IMACC, AMATYC, and ICTM. Further, he had numerous published articles in the ICTM, NCTM,and AMATYC mathematics journals.
Geralyn M. Koeberlein, now retired, taught mathematics at Mahomet-Seymour High School in Mahomet, Illinois for 34 years. She taught several levels of math, from Algebra I to AB Calculus. In the last few years of her career, Geralyn was also Chair of the Math and Science Department. After receiving her Master's Degree from the University of Illinois early in her teaching years, Geralyn continued her education by receiving over 90 hours of post graduate credit. She was a member of the the ICTM and the NCTM.
Table of Contents
Note: Each chapter concludes with a Summary, Review Exercises, and a Chapter Test. 1. LINE AND ANGLE RELATIONSHIPS. Sets, Statements, and Reasoning. Informal Geometry and Measurement. Early Definitions and Postulates. Angles and Their Relationships. Introduction to Geometric Proof. Relationships: Perpendicular Lines. The Formal Proof of a Theorem. Perspective on History: The Development of Geometry. Perspective on Application: Patterns. 2. PARALLEL LINES. The Parallel Postulate and Special Angles. Indirect Proof. Proving Lines Parallel. The Angles of a Triangle. Convex Polygons. Symmetry and Transformations. Perspective on History: Sketch of Euclid. Perspective on Application: Non-Euclidean Geometries. 3. TRIANGLES. Congruent Triangles. Corresponding Parts of Congruent Triangles. Isosceles Triangles. Basic Constructions Justified. Inequalities in a Triangle. Perspective on History: Sketch of Archimedes. Perspective on Application: Pascal's Triangle. 4. QUADRILATERALS. Properties of a Parallelogram. The Parallelogram and Kite. The Rectangle, Square, and Rhombus. The Trapezoid. Perspective on History: Sketch of Thales. Perspective on Application: Square Numbers as Sums. 5. SIMILAR TRIANGLES. Ratios, Rates, and Proportions. Similar Polygons. Proving Triangles Similar. The Pythagorean Theorem. Special Right Triangles. Segments Divided Proportionally. Perspective on History: Ceva's Theorem. Perspective on Application: An Unusual Application of Similar Triangles. 6. CIRCLES. Circles and Related Segments and Angles. More Angle Measures in the Circle. Line and Segment Relationships in the Circle. Some Constructions and Inequalities for the Circle. Perspective on History: Circumference of the Earth. Perspective on Application: Sum of the Interior Angles of a Polygon. 7. LOCUS AND CONCURRENCE. Locus of Points. Concurrence of Lines. More About Regular Polygons. Perspective on History: The Value of Perspective on Application: The Nine-Point Circle. 8. AREAS OF POLYGONS AND CIRCLES. Area and Initial Postulates. Perimeter and Area of Polygons. Regular Polygons and Area. Circumference and Area of a Circle. More Area Relationships in the Circle. Perspective on History: Sketch of Pythagoras. Perspective on Application: Another Look at the Pythagorean Theorem. 9. SURFACES AND SOLIDS. Prisms, Area, and Volume. Pyramids, Area, and Volume. Cylinders and Cones. Polyhedrons and Spheres. Perspective on History: Sketch of Rene Descartes. Perspective on Application: Birds in Flight. 10. ANALYTIC GEOMETRY. The Rectangular Coordinate System. Graphs of Linear Equations and Slope. Preparing to do Analytic Proofs. Analytic Proofs. Equations of Lines. Perspective on History: The Banach-Tarski Paradox. Perspective on Application: The Point-of-Division Formulas. 11. INTRODUCTION TO TRIGONOMETRY. The Sine Ratio and Applications. The Cosine Ratio and Applications. The Tangent Ratio and Other Ratios. Applications with Acute Triangles. Perspective on History: Sketch of Plato. Perspective on Application: Radian Measure of Angles. APPENDICES. Appendix A: Algebra review. Appendix B: Summary of Constructions, Postulates, and Theorems and Coroll |
This two-part teacher's edition accompanies BJU Press' The Fundamentals of Math Student Text, 2nd Ed. Filled with all the help, explanations, and answers you need, teaching math will be easy with such resources at your disposal! Reduced, full-color student pages are surrounded with teacher's notes that include a chapter overview, historical note on the introductory photo, bulletin board idea, and presentation. Around each lesson are objectives, vocabulary, resources, additional problems, presentation with motivational ideas and notes on common student errors, assignments, and solutions. Short answers are provided in red on the student page, while expanded answers are numbered and provided in the margins. Build confidence for upper-level math with this updated math curriculum! 2 volumes, both spiral-bound with hard back-covers and soft front-covers, Book 1 is 686 pages, Book 2 is 689 pages. A CD-ROM with support materials is included. 2nd Edition.
Product:
Fundamentals of Math 7 Teacher's Edition W/CD (2nd Edition)
Vendor:
BJU Press
Edition Number:
2
Binding Type:
Book with CD
Minimum Grade:
7th Grade
Maximum Grade:
7th Grade
Weight:
4.6 pounds
Length:
11 inches
Width:
10.75 inches
Height:
1.876 inches
Vendor Part Number:
244228
Subject:
Math
Curriculum Name:
BJU Press
Learning Style:
Auditory, Visual
Teaching Method:
Traditional
There are currently no reviews for Fundamentals of Math 7 Teacher's Edition W/CD (2nd Edition). |
The goal is to get students to make connections between numerical operations and application of that to abstract concepts. Algebra 2 was one of the subjects I taught working in the high school system in Hawaii. I know the pains that many students had to go through making a challenging transition from dealing with numbers to more abstract mathematical concepts. |
best way to master math is to practice, practice, practice—and 1,001 Math Problems offers "mathophobes" and others who just need a little math tutoring the practice they need to succeed. Whether students need help calculating a tip or facing a standardized math test that could determine their future, the 1,001 math questions in this useful manual provides them with the skill sets they need to master math, algebra, and geometry challenges. |
The goal of this course is to explore the underpinnings of single- variable calculus, and to to develop some fundamental notions of topology in Euclidean space. The course will move towards proving theorems that are among the crowning jewels of these subjects: The fundamental theorems of calculus and the Brauer fixed-point theorem. It is intended for students who have had some exposure to calculus (AB or BC in high school), and would like to deepen their understanding of the subject. It will prepare them to continue with honors multivariable calculus, math 285. It can be seen as a continuation of Math 175, but more broadly it is a course for anyone interested to gain a deeper understanding of single-variable calculus.
The course will be taught in an IBL manner, and it will follow roughly the same format as Math 175. |
Introduction to Modern Mathematics
Syllabus
Fall 2012
PURPOSE: The purpose of this course is to provide a fun and easy course which will satisfy the general eduacation requirement in Mathematics. Topics will be chosen for their beauty and for their beauty and the opportunity for students to string ideas together.
Homework is the most important part of the course. If you keep up
with the homework you will probably do well. If you do not, you
probably will not do well. The midterms and final exam will cover the
material on the homework. Students are
responsible for announcements made in class. |
demonstrate the relationship between physical reality and the equations used in electromagnetics, the authors have created interactive software using Mathematica with its notebook capability. The software is composed of different notebooks, each covering a specific topic, which are collectively called EM Notebooks. The notebooks are used in a workstation laboratory of 12 NeXT computers in conjunction with two required junior-level courses in electromagnetics. Each notebook consists of text, equations, and graphics. The equations are Mathematica commands that are used to evaluate electromagnetic formulas found in a typical undergraduate electromagnetics textbook. Equation parameters can be changed by a student permitting examination of an unlimited number of examples. In addition, much of the graphics can be animated. The animations provide a pedagogic tool unavailable in traditional textbooks. EM Notebooks must be used on a computer that runs Mathematica with the notebook facility |
Chapter 1Document Transcript
Chapter 1: what is a modeling?<br />It is a process to create a model to make or understand something. A mathematical modeling is then defined as a process from the mathematical point, of view in which describes a real-world fact; the main objective is to understand that process and also to predict its behavior in the future.<br />The differential equations as mathematical modeling.<br />When the hypothesis is raised, implies the reason or rate of change of one or more variables involved. Therefore, the mathematical statement of this hypothesis is one or more equations, which involved, derivative, differential equations.<br />. Methods for solving differential equations or analyze<br />When we formulated the mathematical model, the problem is to resolve, in most cases is not easy. The modeling methods we can study summarized as follows:<br />BIBLIOGRAPY <br /> /> /> |
Find a Hygiene AlgebraThese and other basic skills form the core to all future mathematical endeavours. Differential equations (both ordinary and partial) are a foundation for learning methods used to solve ODEs (for example Bernoulli and Euler style solution methods). Learning how to apply methods to apply to rate ... |
Beginning Algebra
The Lial series has helped thousands of readers succeed in developmental mathematics through its approachable writing style, relevant real-world ...Show synopsisThe Lial series has helped thousands of readers succeed in developmental mathematics through its approachable writing style, relevant real-world examples, extensive exercise sets, and complete supplements package. The Real Number System; Linear Equations and Inequalities in One Variable; Linear Equations and Inequalities in Two Variables: Functions; Systems of Linear Equations and Inequalities; Exponents and Polynomials; Factoring and Applications; Rational Expressions and Applications; Roots and Radicals; Quadratic Equations For all readers interested in Beginning Algebra1702531....New in new dust jacket. Brand New as listed. ISBN 9780321702531 |
Synopses & Reviews
Publisher Comments:
Students and teachers will welcome the return of this unabridged reprint of one of the first English-language texts to offer full coverage of algebraic plane curves. It offers advanced students a detailed, thorough introduction and background to the theory of algebraic plane curves and their relations to various fields of geometry and analysis.
The text treats such topics as the topological properties of curves, the Riemann-Roch theorem, and all aspects of a wide variety of curves including real, covariant, polar, containing series of a given sort, elliptic, hyperelliptic, polygonal, reducible, rational, the pencil, two-parameter nets, the Laguerre net, and nonlinear systems of curves. It is almost entirely confined to the properties of the general curve rather than a detailed study of curves of the third or fourth order. The text chiefly employs algebraic procedure, with large portions written according to the spirit and methods of the Italian geometers. Geometric methods are much employed, however, especially those involving the projective geometry of hyperspace.
Readers will find this volume ample preparation for the symbolic notation of Aronhold and Clebsch.
Synopsis: |
Abstract
Algebra is a focal point of reform efforts in mathematics education, with many mathematics educators advocating that algebraic reasoning should be integrated at all grade levels K-12. Recent research has begun to investigate algebra reform in the context of elementary school (grades K-5) mathematics, focusing in particular on the development of algebraic reasoning. Yet, to date, little research has focused on the development of algebraic reasoning in middle school (grades 6–8). This article focuses on middle school students' understanding of two core algebraic ideas—equivalence and variable—and the relationship of their understanding to performance on problems that require use of these two ideas. The data suggest that students' understanding of these core ideas influences their success in solving problems, the strategies they use in their solution processes, and the justifications they provide for their solutions. Implications for instruction and curricular design are discussed.
Greer, B. (1992). Multiplication and division as models of situations. In D. Grouws (Ed.), Handbook of Research on Mathematics Teaching and Learning (pp. 276–295). New York: Macmillan.
Kaput, J. (1998). Transforming algebra from an engine of inequity to an engine of mathematical power by "algebrafying" the K-12 curriculum. Paper presented at the Algebra Symposium, Washington, DC, May, 1998. |
Let me tell you. If you are really a math minded type you will enjoy the older books a whole lot more than the current books. The older books were written in a time when people would actually read the textbook and gain insightful ideas from the books through hours of study. Newer books seem to spoon feed you and set you up for failure in the higher math courses.
Your grandfather will enjoy your company if you go through with reading this book. He will talk to you about it for sure.
I don't know what that's based on, but the world has moved on. Today's Grade 12 mathematics is much more advanced than 50 years ago. Yes, they don't spend as many years learning how to add, but if Grandpa had a calculator in his high school, he wouldn't either.
I remember my high school teacher saying how lucky we were to be where we were and how he wished they taught set theory when he was in high school.
A set is a collection of objects. I thought "big whoop". As a ninth grader, I didn't see set theory the same way as someone who was doing graduate study in the area. If you asked my teacher, he'd probably say the subject matter being taught today in high schools is superior to what was when he was in school.
If you have not seen old textbooks, you'll be surprised how much of the back of the books are just log tables and what not. I don't think we are not much worse off punching numbers into a calculator to find log values than pulling it from a table although as I write this ... you'd be able to see progression in a table and would get some visual cues that you would not get in a four function calculator...
Well, we're moving on to touch screen smart phones so maybe we will have better and easier calculator interfaces coming out more frequently
This, this is how I want to learn to do math. So far all my courses in college have been monkey-see monkey-do and only one teacher (who was part-time, to boot) could answer any of my math questions while the others (aside from a very brilliant German lady who was unfortunately very hard to understand) acted like a deer in headlights.
Now I'm up to Trig and Pre-Calc and really only understand the very basics of algebra. I'm not doing too bad grade-wise but I would really like to go deeper and learn more.
Also, to be on topic, I did not learn anything about cubic roots until College Algebra. So...but I also went to a very rural school where I'm originally from.
What's frustrating is that some teachers think silence is the same as "I don't know." Some students just don't like to speak in class for a variety of reasons. (Afraid of being wrong in front of their peers, not liking public speaking, etc...)
Please correct me if I'm wrong, because I suck at math, but a root in this case refers to a x-intercept of an function, no? Additionally, since the function is cubic, which is an odd power, the sign of variable being fed to the equation will be preserved.
Assuming further that I am correct that "cubic" means we'll be working with something in this form:
I'm in Washington state so I guess what I'm about to say might not apply anywhere else. I was a tutor for a college that got to enter pass / fail data for specific class subjects. Fractions were normally one of the most understood topic by the students. Trigonometric identities (especially proving equivalents of two given identities) were the greatest trouble cases.
Also, the total number of college level math students and their pass rate has had an increasing trend since data started being kept (they started tracking more then 10 years ago, don't remember the exact date).
It's clear to me we're talking about different schools. Where I went, we weren't allowed to have those sorts of calculators. Interesting though, we were always challenged intellectually; I guess we were learning something.
I'm on the UNC/Charlotte campus, and just discovered a treasure trove of older math textbooks downstairs in the compact shelving area, where they store a lot of the older books (they also had a copy of "Knots" by R.D. Laing - awesome). I'm going through Edgerton's Advanced Algebra from 1964. Simple and beautiful. If you go to Amazon you'll read good reviews on Harold Jacobs' Mathematics, a Human Endeavor, and older copies can be found. He also has texts on algebra and geometry.
Google books will let you download public domain books in pdf format. From the main page search for a term. From the results, choose Free Google eBooks on the left menu. From there, choose a book and then select the gear on the top-right of the page. Download PDF is one of the options. There's thousands of old math books available.
Alternately, Google books allows you to read them online from a browser or from an android book app.
Also, if there's a title you want that you can't find elsewhere, searching archive.org sometimes works. For example.
Check your library. You almost certainly will find classic math texts. Math textbooks never become obsolete, so even something a century old is very useful.
I used to work in a math department, and many faculty members would throw out old books. There would be a small pile of books outside the office, and most of them would disappear in a few days as people like you would give them a new home.
These days are there any other methods to find these books other than exploring used book stores?
That is how it has always been done. If you are looking for old books, you take an afternoon and troll around used bookstores. I guess the difference today is that online, you can hope that someone has already found a given text and scanned it it, but that takes all the fun (and awesome smell) out of it.
Also, if you are really lucky, you'll find a book with decades old notes in the margin.
"When you see a problem that looks like this, remember to use this formula. Now put the numbers like this into your calculator 10 times, and call it a day."
Oh so true. It is sad really. But instead of a calculator, I used a slide rule the last two years of high school. Doing so was the best thing that I ever did. The only issue that I had was with one teacher who considered it a weapon >_<
My middle school didn't (if I recall) allow calculator use and my high school didn't allow calculators until you got to trig and calculus, and even then calculus problems were AP format, where most of the work didn't need a calculator except for crunching a number at the end. I'm much better off for being forced to simplify things as I went along.
I've been told that Spivak's Calculus book is one of the better ones available today from other people on /r/math. However, it is a more contemporary book. Does this book have the same trappings that the OP mentions or is it more inline with the old style?
maybe it's just me but the older books i've seen at places like half-priced books tend to be much more terse and leave much more to the reader to figure out WRT how formulas map to the real world.
newer books tend to elaborate more and include more exercises and visualizations and such. it may be spoon-feeding in the sense that you don't have to think more about it on your own as much, but i don't think that necessarily means older books are superior, just that the expectations of older curriculums were higher.
but that's just my takeaway from a handful of random math books who's titles i don't even remember, so take it with a grain of salt. |
Algebra and Trigonometry, 4th Edition
Description
Beecher, Penna, and Bittinger's Algebra and Trigonometry is known for enabling students to "see the math" through its focus on visualization and early introduction to functions. With the Fourth Edition, the authors continue to innovate by incorporating more ongoing review to help students develop their understanding and study effectively. Mid-chapter Review exercise sets have been added to give students practice in synthesizing the concepts, and new Study Summaries provide built-in tools to help them prepare for tests. The MyMathLab course (access kit required) has been expanded so that the online content is even more integrated with the text's approach, with the addition of Vocabulary, Synthesis, and Mid-chapter Review exercises from the text as well as example-based videos created by the authors.
Table of Contents
R. Basic Concepts of Algebra
R.1 The Real-Number Systemeal Numbers
R.2 Integer Exponents, Scientific Notation, and Order of Operations
R.3 Addition, Subtraction, and Multiplication of Polynomials
R.4 Factoring Terms with Common Factors
R.5 The Basics of Equation Solving
R.6 Rational Expressions
R.7 Radical Notation and Rational Exponents
Study Guide
Review Exercises
Chapter Test
¿
1. Graphs; Linear Functions and Models
1.1 Introduction to Graphing
Visualizing the Graph
1.2 Functions and Graphs
1.3 Linear Functions, Slope, and Applications
Visualizing the Graph
Mid-Chapter Mixed Review
1.4 Equations of Lines and Modeling
1.5 Linear Equations, Functions, Zeros, and Applications
1.6 Solving Linear Inequalities
Study Guide
Review Exercises
Chapter Test
¿
2. More on Functions
2.1 Increasing, Decreasing, and Piecewise Functions; Applications
2.2 The Algebra of Functions
2.3 The Composition of Functions
Mid-Chapter Mixed Review
2.4 Symmetry and Transformations
Visualizing the Graph
2.5 Variation and Applications
Study Guide
Review Exercises
Chapter Test
¿
3. Quadratic Functions and Equations; Inequalities
3.1 The Complex Numbers
3.2 Quadratic Equations, Functions, Zeros, and Models
3.3 Analyzing Graphs of Quadratic Functions
Visualizing the Graph
Mid-Chapter Mixed Review
3.4 Solving Rational Equations and Radical Equations
3.5 Solving Linear Inequalities
Study Guide
Review Exercises
Chapter Test
¿
4. Polynomial and Rational Functions
4.1 Polynomial Functions and Modeling
4.2 Graphing Polynomial Functions
Visualizing the Graph
4.3 Polynomial Division; The Remainder and Factor Theorems
Mid-Chapter Mixed Review
4.4 Theorems about Zeros of Polynomial Functions
4.5 Rational Functions
Visualizing the Graph
4.6 Polynomial and Rational Inequalities
Study Guide
Review Exercises
Chapter Test
¿
5. Exponential and Logarithmic Functions
5.1 Inverse Functions
5.2 Exponential Functions and Graphs
5.3 Logarithmic Functions and Graphs
Mid-Chapter Mixed Review
5.4 Properties of Logarithmic Functions
5.5 Solving Exponential Equations and Logarithmic Equations
5.6 Applications and Models: Growth and Decay; Compound Interest
Study Guide
Review Exercises
Chapter Test
¿
6. The Trigonometric Functions
6.1 Trigonometric Functions of Acute Angles
6.2 Applications of Right Triangles
6.3 Trigonometric Functions of Any Angle
¿ Mid-Chapter Mixed Review
6.4 Radians, Arc Length, and Angular Speed
6.5 Circular Functions: Graphs and Properties
6.6 Graphs of Transformed Sine and Cosine Functions
Visualizing the Graph
Study Guide
Review Exercises
Chapter Test
¿
7. Trigonometric Identities, Inverse Functions, and Equations
7.1 Identities: Pythagorean and Sum and Difference
7.2 Identities: Cofunction, Double-Angle, and Half-Angle
7.3 Proving Trigonometric Identities
Mid-Chapter Mixed Review
7.4 Inverses of the Trigonometric Functions
7.5 Solving Trigonometric Equations
Visualizing the Graph
Study Guide
Review Exercises
Chapter Test
¿
8. Applications of Trigonometry
8.1 The Law of Sines
8.2 The Law of Cosines
8.3 Complex Numbers: Trigonometric Form
Mid-Chapter Mixed Review
8.4 Polar Coordinates and Graphs
Visualizing the Graph
8.5 Vectors and Applications
8.6 Vector Operations
Study Guide
Review Exercises
Chapter Test
¿
9. Systems of Equations and Matrices
9.1 Systems of Equations in Two Variables
Visualizing the Graph
9.2 Systems of Equations in Three Variables
9.3 Matrices and Systems of Equations
9.4 Matrix Operations
9.5 Inverses of Matrices
9.6 Determinants and Cramer's Rule
9.7 Systems of Inequalities and Linear Programming
9.8 Partial Fractions
Study Guide
Review Exercises
Chapter Test
¿
10. Analytic Geometry Topics
10.1 The Parabola
10.2 The Circle and the Ellipse
10.3 The Hyperbola
10.4 Nonlinear Systems of Equations and Inequalities
Visualizing the Graph
Mid-Chapter Mixed Review
10.5 Rotation of Axes
10.6 Polar Equations of Conics
10.7 Parametric Equations
Study Guide
Review Exercises
Chapter Test
¿
11. Sequences, Series, and Combinatorics
11.1 Sequences and Series
11.2 Arithmetic Sequences and Series
11.3 geometric Sequences and Series
Visualizing the Graph
11.4 Mathematical Induction
Mid-Chapter Mixed Review
11.5 Combinatorics: Permutations
11.6 Combinatorics: Combinations
11.7 The Binomial Theorem
11.8 Probability
Study Guide
Review Exercises
Chapter Test
¿
Photo Credits
Answers
Index
Index of Applications
Enhance your learning experience with text-specific study materials.
This title is also sold in the various packages listed below. Before purchasing one of these packages, speak with your professor about which one will help you be successful in your course. |
by experienced retailers, MECHANDISING MATH FOR RETAILING, 5/e introduces students to the essential principles and techniques of merchandising mathematics, and explains how to apply them in solving everyday retail merchandising problems. Instructor- and student-friendly, it features clear and concise explanations of key concepts, followed by problems, case studies, spreadsheets, and summary problems using realistic industry figures. Most chapters lend themselves to spreadsheet use, and skeletal spreadsheets are provided to instructors. This edition is extensively updated to reflect current trends, and to discuss careers from the viewpoint of working professionals. It adds 20+ new case studies that encourage students to use analytic skills, and link content to realistic retail challenges. This edition also contains a focused discussion of profitability measures, and an extended discussion of assortment planning. |
College Physics I
This course uses algebra- and trigonometry-based mathematical models to introduce the fundamental concepts that describe the physical world. Topics include units and measurement, vectors, linear kinematics and dynamics, energy, power, momentum, fluid mechanics, and heat. Upon completion, students should be able to demonstrate an understanding of the principles involved and display analytical problem-solving ability for the topics covered |
American Mathematics Contest 8 (Middle School) The AMC 8 is a 25 question, 40 minute multiple choice examination in junior high school (middle school) mathematics designed to promote the development and enhancement of problem solving skills. The examination provides an opportunity to apply the concepts taught at the junior high level to problems that not only range from easy to difficult but also cover a wide range of applications.
American Mathematics Contest 10 (Secondary Grades) The AMC 10 is a 25-question, 75-minute multiple choice examination in secondary school mathematics containing problems which can be understood and solved with pre-calculus concepts. Calculators are allowed. The main purpose of the AMC 10 is to spur interest in mathematics and to develop talent through the excitement of solving challenging problems in a timed multiple-choice format. The problems range from the very easy to the extremely difficult.
American Mathematics Contest 12 (Secondary Grades) The AMC 12 is a 25-question, 75-minute multiple choice examination in secondary school mathematics containing problems which can be understood and solved with pre-calculus concepts. Calculators are allowed. The main purpose of the AMC 12 is to spur interest in mathematics and to develop talent through solving challenging problems in a timed multiple-choice format. Because the AMC 12 covers such a broad spectrum of knowledge and ability there is a wide range of scores. The National Honor Roll cutoff score, 100 out of 150 possible points, is typically attained or surpassed by fewer than 3% of all participants. The AMC 12 is one in a series of examinations (followed in the United States by the American Invitational Examination and the USA Mathematical Olympiad) that culminate in participation in the International Mathematical Olympiad, the most prestigious and difficult secondary mathematics examination in the world.
The Mandelbrot Competition (Secondary Grades) In those ten years the contest has grown to two divisions encompassing students from across the United States as well as from several foreign countries. Nearly half of the competitors in the USA Math Olympiad in the last couple of years have been Mandelbrot competitors. The Mandelbrot Competition is split into two divisions: Division A for more advanced problem solvers and Division B for less experienced students.
Mathcounts (Grades 7-8) Each year, more than 500,000 students participate in MATHCOUNTS at the school level. Those who do tell us that their experience as a "mathlete" is often one of the most memorable and fun experiences of their middle school years.
Math Problems of the Week (Grades K-12) The Problem of the Week is an educational web site that originates at the University of Mississippi. All the prizes are generously donated by CASIO electronics. All contest winners are chosen randomly from the pool of contestants that successfully solve that week's problem. |
a growing range of applications in fields from computer science to chemistry and communications networks, graph theory has enjoyed a rapid increase of interest and widespread recognition as an important area of mathematics. Through more than 20 years of publication, Graphs & Digraphs has remained a popular point of entry to the field, and through its various editions, has evolved with the field from a purely mathematical treatment to one that also addresses the mathematical needs of computer scientists.Carefully updated, streamlined, and enhanced with new features, Graphs & Digraphs, Fourth Edition reflects many of the developments in graph theory that have emerged in recent years. The authors have added discussions on topics of increasing interest, deleted outdated material, and judiciously augmented the Exercises sections to cover a range of problems that reach beyond the construction of proofs.New in the Fourth Edition:Expanded treatment of Ramsey theoryMajor revisions to the material on domination and distanceNew material on list colorings that includes interesting recent resultsA solutions manual covering many of the exercises available to instructors with qualifying course adoptions A comprehensive bibliography including an updated list of graph theory booksEvery edition of Graphs & Digraphs has been unique in its reflection the subject as one that is important, intriguing, and most of all beautiful. The fourth edition continues that tradition, offering a comprehensive, tightly integrated, and up-to-date introduction that imparts an appreciation as well as a solid understanding of the material. |
Mathematical Ideas (12th Edition)
9780321693815
ISBN:
0321693817
Edition: 12 Pub Date: 2011 Publisher: Addison Wesley
Summary: Mathematical Ideas offers students a comprehensive understanding of how they can relate math to everyday situations and even more unique situations such as those from film and television. It uses an innovative approach to guide students through the complex mathematical concepts through relatively easy to understand approaches that are easy to apply. These methods form part of a very readable and accessible textbook. ...It also offers excellent study tools to aid subject comprehension. We offer many mathematics textbooks of this calibre to buy brand new or to rent in good condition. We also offer a buyback service for those with used textbooks to sell.
Miller, Charles David is the author of Mathematical Ideas (12th Edition), published 2011 under ISBN 9780321693815 and 0321693817. Seven hundred sixty two Mathematical Ideas (12th Edition) textbooks are available for sale on ValoreBooks.com, four hundred six used from the cheapest price of $38.79, or buy new starting at $107.5612th edition. Does Not include CD's, DVD's, access codes or other supplements. PLEASE NOTE: Fairly Minor water damage is present along side edge -- No page sticking. Minimal i [more]
12th edition. Does Not include CD's, DVD's, access codes or other supplements. PLEASE NOTE: Fairly Minor water damage is present along side edge -- No page sticking. Minimal internal markings. Moderate cover wear. Some Areas with dogeared pages, and Some page creases at corners and along edges. Bookstore stickers on covers. Nice for the price!! Enjoy!! [less]
New Hardcover. 12th Edition May contain highlighting/underlining/notes/etc. May have used stickers on cover. Ships same or next day. Expedited shipping takes 2-3 business days [more]
New1694065 shipping within U.S. will arrive in 3-5 days. Hassle free 14 day return policy. Contact Customer Service for questions.[less]
The book clearly showed the breakdown for all of the different types of problems that were introduced and had plenty of practice problems to work on, which was very helpful for studying before tests especially with a teacher that did not always explain the problems very well.
It was one of the basic concepts of math class that students had to chose from.
I used this book for a mathematical course for liberal arts degree. It was the second part and the course number was 152. We studied line graphs, geometry, statistics, and probability. I felt that the material was well described both in the book and in class, the online tutorials were overkill.
I felt that this book only partially prepared me for the GRE exam, I did study for the test using this particular text, and I did complete the practice quizzes, but I did not do quite as well as I had hoped. Overall I thought that it prepared pretty well, but could use some improvement in the English and Math sections. |
Instead of memorizing formulas and equations, Videotext Algebra helps students to understand math through mastery learning, helping them to solidify each concept before moving on the next. This Module contains one copy of all print materials needed for this module.
Module B in Videotext Algebra, this unit covers:
Basic Relations (Solutions, Making Zeros, Making Ones, Combinations)
Complications (Grouping Symbols, Like Terms on the Same Side, Placeholders on Both Sides, Combinations) |
Flatland: A Romance of Many Dimensions (Dover Thrift Editions)
by Edwin A Abbott Publisher Comments... (read more)
The Algebra Survival Guide Workbook (Algebra Survival Guide)
by Josh Rappaport Publisher Comments
- Thousands of practice problems, and their answers, help children master the skills essential for pre-algebra and Algebra 1.- Problem sets focus on the very concepts that children have the most trouble with, thereby giving them the help they need to... (read more)
Wavelet Analysis & Applications Proceedings
by Donggao Deng Book News Annotation
These 26 papers selected from the conference held in November 1999 at
Zhongshan U., with which the editors are affiliated, focus on a major
research direction increasingly attracting mathematicians and
scientists. In addition to impacting... (read more)
Painless Pre-Algebra (Barron's Painless)
by Amy Stahl Publisher Comments
(back cover) Really. This won't hurt at all . . . The thought of having to learn pre-algebra once turned brave students into cowards . . . but no more! THE PAIN VANISHES WHEN YOU TRANSFORM PRE-ALGEBRA INTO FUN-- Learn how to solve fun number puzzles by... (read more)
Mathematics-Grade 4:
by School Specialty Pub Publisher Comments
With Mathematics: A Step-By-Step Approach, Grade 4 Homework Booklet students will love building their mathematics skills while completing the fun activities in this great book Divided into four steps: addition and subtraction, multiplication, division... (read more)
The Math Chat Book
by Frank Morgan Publisher Comments
Mathematics can be fun for everyone, and this book shows it. It grew out of the author's popularisation of mathematics via live, call-in TV shows and widely published articles. The questions, comments, and even the answers here come largely from the... (read more)
Painless Math Word Problems (Barron's Painless Study)
by Marcie F Abramson Publisher Comments
(back cover) Really. This isn't going to hurt at all . . . Students discover interesting ways to see patterns in math word problems, and then make the correct computations to find solutions. In the process, they work with decimals and fractions, compare... (read more)
Rapid Math Tricks & Tips: 30 Days to Number Power
by Edward H Julius Publisher Comments
Demonstrates a slew of time-saving tips and tricks for performing common math calculations. Contains sample problems for each trick, leading the reader through step-by-step. Features two mid-terms and a final exam to test your progress plus hundreds of... (read more)
The Mystery of Numbers
by Annemarie Schimmel Publisher Comments
Why is the number seven lucky--even holy--in almost every culture? Why do we speak of the four corners of the earth? Why do cats have nine lives (except in Iran, where they have seven)? From literature to folklore to private superstitions, numbers play a... (read more)
Schaum's Easy Outline of Trigonometry (Schaum's Easy Outlines)
by Frank Ayres Publisher Comments |
This stand-alone Shockwave program simulates bombs falling on a city via two methods (rudimentary guidance system versus uniformly random), and students are asked to apply data analysis to determine which simulation method is which.
In this applet, a user fills in a grid to create a distribution of numbers. The applet displays the size of the standard deviation and the position of the mean in the distribution. An activity is provided to facilitate the use of the applet to investigate standard deviation.
This suite of five interactive applets (written with GeoGebra) allows exploration of definitions and theorems commonly presented in first-year analysis courses. Topics include sequence convergence, continuity at a point, the Mean Value theorem, Taylor series, and Riemann sums. Included with each applet is a pair of activities: one for becoming comfortable using the applet, and one for using the applet to explore the associated topic in depth. |
97801985149ics Masterclasses: Stretching the Imagination
This book serves as a valuable resource for mathematics and science teachers at secondary school level, teenagers and parents. It contains written versions of Royal Institution masterclasses on a wide selection of topics in pure and applied mathematics. The masterclasses are a popular program of advanced study conducted each year for mathematically talented university-bound British youth. They serve as a unique introduction to the kinds of topics found at the undergraduate level, yet presented in a manner that is meant to stimulate interest and challenge young minds. Topics include chaos theory, meteorology, storage limitations of computers, population growth and decay, as well as the mechanics of dinosaurs. The book is well-illustrated, easy to read, and contains worksheets with interesting problems (and solutions). The emphasis throughout is on enjoying the challenge of mathematics |
Numerical Methods
Numerical Methods
Develops a working knowledge of and ability to apply numerical methods in solving some basic mathematical problems such as interpolation, numerical integration, and finding roots of functions.Compulsory Readings for Numerical Methods (PDF)
Develops a working knowledge of and ability to apply numerical methods in solving some basic mathematical problems such as interpolation, numerical integration, and finding roots of functions. |
ffffft. They were going to reprint those textbooks and sell them to us at a higher price anyway, the least they could do is update actual information, rather than fixing/adding typos and changing numbers around in the homework problems. |
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Courses: Math
The goal of Pre-Algebra is to develop fluency with rational numbers and proportional relationships. Students will extend their elementary skills and begin to learn algebra concepts that serve as a transition into formal Algebra and Geometry.The major emphases of the Pre-Algebra course are rational numbers, proportionality, measurement, data collection and analysis, probability, and beginning algebra concepts that serve as a transition into formal algebra and geometry.
Students in Elementary Algebra will learn algebra as a style of thinking for formalizing patterns, functions, and generalizations. In this course, students will expand previously learned quantitative rational number relationships to include the irrational numbers.
Students will explore geometry through inductive and deductive processes, technology, constructions, manipulatives, and algebraic connections.The main goal of Geometry is for students to develop the structure of Euclidean geometry logically and apply the resulting theorems, proofs, and formulas to address meaningful problems. Students will use experimentation and inductive reasoning to construct geometric concepts, discover geometric relationships, and formulate conjectures. Students will employ deductive logic to construct formal logical arguments and proofs.
In the first quarter of Financial Math, students will examine the various ways that people earn money and how that money is managed, saved, and spent. This quarter addresses the usefulness of both checking and savings accounts and how to manage them, as well as consideration of saving versus investing. Students will explore cash purchases, receipts, and sale prices. Students will apply the appropriate math concepts needed to successfully navigate the implications of every-day financial scenarios, and develop financial decision-making and planning skills.
Algebra II will build upon the knowledge previously learned in Algebra I and Geometry. It will provide students with the reasoning skills necessary for many careers the mathematical tools they will need to be successful in advanced mathematics classes.
Pre-calculus fills the minimum mathematics course requirement for students who plan to participate in post-secondary training. It also serves as the prerequisite for Advanced Placement Calculus or Statistics courses. In preparation for this course, students should have mastered linear and quadratic functions, concepts from discrete mathematics involving sequences and series, and data analysis and probability techniques. They should also be able to confidently work with expressions containing rational exponents and radical and rational terms. |
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About the book:
This excellent textbook introduces the basics of number theory, incorporating the language of abstract algebra. A knowledge of such algebraic concepts as group, ring, field, and domain is not assumed, however; all terms are defined and examples are given making the book self-contained in this respect. The author begins with an introductory chapter on number theory and its early history. Subsequent chapters deal with unique factorization and the GCD, quadratic residues, number-theoretic functions and the distribution of primes, sums of squares, quadratic equations and quadratic fields, diophantine approximation, and more. Included are discussions of topics not always found in introductory texts: factorization and primality of large integers, p-adic numbers, algebraic number fields, Brun's theorem on twin primes, and the transcendence of e, to mention a few. Readers will find a substantial number of well-chosen problems, along with many notes and bibliographical references selected for readability and relevance. Five helpful appendixes containing such study aids as a factor table, computer-plotted graphs, a table of indices, the Greek alphabet, and a list of symbols and a bibliography round out this well-written text, which is directed toward undergraduate majors and beginning graduate students in mathematics. No post-calculus prerequisite is assumed. 1977 edition.
Softcover, ISBN 0486689069 Publisher: Dover Publications, 1996 Usually ships within 1 - 2 business days, Brand New. Delivery is usually 5 - 8 working days from order, International is by Royal Mail Airmail |
Thinking Mathematically
Blitzer continues to raise the bar with his engaging applications developed to motivate students from diverse majors and backgrounds. Thinking ...Show synopsisBlitzer continues to raise the bar with his engaging applications developed to motivate students from diverse majors and backgrounds. Thinking Mathematically, Fifth Edition, draws from the author's unique background in art, psychology, and math to present math in the context of real-world applications. Students in this course are not math majors, and they may never take a subsequent math course, so they are often nervous about taking the class. Blitzer understands those students' needs and provides helpful tools in every chapter to help them master the material. Voice balloons appear right when students need them, showing what an instructor would say when leading a student through the problem. Study tips, chapter review grids, Chapter Tests, and abundant exercises provide ample review and practice. The Fifth Edition's MyMathLab(R) course boasts more than 2,000 assignable exercises, plus a new question type for applications-driven questions that correlate to section openers in the textbook. Chapter Test Prep Videos show students how to work out solutions to the Chapter Tests; the videos are available on DVD, in MyMathLab, and on YouTube(TM).Hide synopsis
Description:Hardcover. Instructor Edition: Same as student edition with...Hardcover. Instructor Edition: Same as student edition with additional notes or answers. New Condition. SKU: 978032191487367322Reviews of Thinking Mathematically
Blitzer starts off with Inductive and Deductive reasoning and builds from there. Other chapters include Logic, Number Representation, Number Theory, Measurement , Geometry, Counting Methods, Probability Theory, Statistics, and ending with Mathematical Systems. Well written, easy to understand, using a calculator very beneficial. Contains answers for odd numbered problems.Highly recommended. Check for Ediitons with CD Rom and other |
Elementary and Intermediate Algebra: Concepts and Applications
The Bittinger Concepts and Applications Program delivers proven pedagogy, guiding you from skills-based math to the concepts-oriented math required ...Show synopsisThe Teaching and Learning Experience To provide a better teaching and learning experience for both instructors and students, this program will: *Improve Results: MyMathLab delivers proven results in helping you succeed and provides engaging experiences that personalize learning. *Teach Conceptual Understanding: Proven pedagogy, robust exercise sets, and end-of-chapter material are all geared towards ensuring you grasp the concepts. *Guide Students' Learning: The new Bittinger video program and MyMathGuide work hand in hand to guide you to Elementary and Intermediate Algebra: Concepts and...Good. Elementary and Intermediate Algebra: Concepts and Applications (4th Edition) This book is in Good condition. Buy with confidence. We ship from multiple location.
Reviews of Elementary and Intermediate Algebra: Concepts and Applications
When I got the book it was in almost perfect new condition...
I didn't give it five stars because when I took it out of the box several pages were bent backwards together in what looked like a packing error.
The price was fantastic for a new |
Edgewater, CO PhysicsDifferential-Equations is a field I have dealt since my freshman years. My majoring in physics made it inevitable for me to become increasingly good at the subject matter. Building a differential equation is a major step in creating a mathematical model for a physical system, be it mechanical, |
Students will understand how to identify transformations of graphs and in what order. Conversely, students will be able to create graphs from basic functions using the rules of shifting, reflecting, and stretching. |
Sets for Mathematics
9780521010603
ISBN:
0521010608
Publisher: Cambridge University Press
Summary: In this textbook, categorical algebra is used to build a foundation for the study of geometry, analysis, and algebra.
Lawvere, F. William is the author of Sets for Mathematics, published under ISBN 9780521010603 and 0521010608. Five hundred twenty eight Sets for Mathematics textbooks are available for sale on ValoreBooks.com, ninety one used from the cheapest price of $45.05, or buy new starting at $59.26.
This item is printed on demand. Advanced undergraduate or beginning graduate students need a unified foundation for their study of geometry, analysis, and algebra. For the fi [more]
This item is printed on demand. Advanced undergraduate or beginning graduate students need a unified foundation for their study of geometry, analysis, and algebra. For the first time, this book uses categorical algebra to build such a foundation, startin.[less] |
Trigonometry is one of the most important topics in Higher Level Leaving Cert maths. It is also one of the most problematic for many students. It is hard to avoid trigonometry, as well as accounting for two full questions out of seven in Section A of Paper 2, trigonometry is required in many other areas of the course, e.g., complex numbers, differentiation, integration and vectors.
Originally trigonometry was purely the study of triangles, but it has been expanded greatly since then. Our course reflects this development. We study triangles, sectors, circles, trigonometry ratios as well as the more general trigonometry functions. We learn how to prove trigonometry identities and how to solve trigonometry equations. We also examine inverse trigonometry functions and investigate a well-known trigonometry limit.
Topic Structure
The study of Senior Cycle Trigonometry can be divided into the following sections.
1. Fundamentals of Trigonometry
2. Trigonometry of the triangle and other figures
3. Trigonometric Identities
4. Trigonometric Equations
5. Inverse Trigonometric Functions and Limits
Links
This excellent site contains many worked examples in each area, with questions given on each page. A number of questions are interactive, but to avail of this you have to first download the free MathView Internet plugin - it only takes a short while and is well worth having.
'Dave's Short Trig Course' offers a good basic introduction to this topic, although the pages at the end of the site are more likely to be of interest to higher level students. A number of the diagrams are interactive and can be manipulated or customised by the visitor. |
Tough Test Questions? Missed Lectures? Not Enough Time?
Fortunately, there's Schaum's. This all-in-one-package includes more than 1,900 fully solved problems, examples, and practice exercises to sharpen your problem-solving skills. Plus, you will have access to 30 detailed videos featuring Math instructors who explain how to solve the most commonly... more...... more... |
More About
This Textbook
Overview
This Quantitative Survival Guide for Operations Management comes from a desire to help students understand and succeed when faced with the quantitative portions of a course in Operations Management. If you have struggled with math and statistics in earlier courses, this is the guide for you! This supplement gives examples of the types of problems that a student will encounter in a typical Operations Management textbook. The first section reviews some basics of algebra and pre-algebra. Each of the following sections reviews quantitative material by topic covered in an Operations Management |
Elementary & Intermediate Algebra A Unified Approach
9780073309316
ISBN:
0073309311
Edition: 3 Pub Date: 2007 Publisher: McGraw-Hill College
Summary: A Unified Text That Serves Your Needs. Most colleges offering elementary and intermediate algebra use two different texts, one for each course. As a result, students may be required to purchase two texts; this can result in a considerable amount of topic overlap. Over the last few years, several publishers have issued "combined" texts that take chapters from two texts and merge them into a single book. This has allow...ed students to purchase a single text, but it has done little to reduce the overlap. The goal of this author team has been to produce a text that was more than a combined text. They wanted to unify the topics and themes of beginning and intermediate algebra in a fluid, non-repetitive text. We also wanted to produce a text that will prepare students from different mathematical backgrounds for college algebra. We believe we have accomplished our goals. For students entering directly from an arithmetic or pre-algebra course, this is a text that contains all of the material needed to prepare for college algebra. It can be offered in two quarters or in two semesters. The new Review Chapter found between chapters 6 and 7 serves as a mid-book review for students preparing to take a final exam that covers the first seven chapters. Finally, we have produced a text that will accommodate those students placing into the second term of a two-term sequence. Here is where the Review Chapter is most valuable. It gives the students an opportunity to check that they have all of the background required to begin in Chapter 7. If the students struggle with any of the material in the Review Chapter, they are referred to the appropriate section for further review.
Baratto, Stefan is the author of Elementary & Intermediate Algebra A Unified Approach, published 2007 under ISBN 9780073309316 and 0073309311. Fifty two Elementary & Intermediate Algebra A Unified Approach textbooks are available for sale on ValoreBooks.com, thirty used from the cheapest price of $0.07, or buy new starting at $1133 edition, , Color0073309316
ISBN:0073309311
Edition:3rd
Pub Date:2007 Publisher:McGraw-Hill College
is a student's number one resource for cheap Elementary & Intermediate Algebra A Unified Approach rentals, or used and new condition books available to purchase and have shipped quickly. |
Math for Health Care Professionals
Medical Math for Health Professionals is a comprehensive resource that is equally effective in the classroom or for self-study. It is foundational ...Show synopsisMedical Math for Health Professionals is a comprehensive resource that is equally effective in the classroom or for self-study. It is foundational and assumes no prior knowledge of mathematics or health care but merges the two topics into the capstone of a complete learning package that includes a student workbook, instructor manual, and quick review manual. Designed with clearly defined objectives that allows the user to select the competencies that the class or individual needs, each objective is clearly stated then explained within the text and accompanied by a significant number of practice problems. Critical thinking skills, rather than rote memorization of formulas, are emphasized. By using pretests printed at the beginning of each chapter and instructions provided in the instructor's manual, the instructor can assess each student and prescribe work that helps the user focus on areas of weakness and develop skills within those areas of weakness. In the Math in the Real World feature, health care professionals relate to readers, in their own words, the importance of math in the health care professions. While the fundamentals of mathematics are foundational to this book, their application to health care is emphasized. Drug dosages, intake and output, weights and measures, temperatures, IV drip rates, and conversions are emphasized and illustrations of syringes, prescriptions, medication labels, IV bags, and I and O charts allow the reader to practice real-life health care skills requiring mathematics01858031 new book, never used, Has slight shelf wear due...New. 1401858031Good. Math for Health Care Professionals (Applied Mathematics)...Good. Math for Health Care Professionals (Applied |
This course will develop a rigorous theory of elementary mathematical analysis including differentiation, integration, and convergence of sequences and series. Students will learn how to write mathematical proofs, how to construct counterexamples, and how to think clearly and logically.
These topics are part of the foundation of all of mathematical analysis and applied mathematics, geometry, ordinary and partial differential equations, probability, and stochastic analysis.
Textbook: Fundamental Ideas of Analysis, by Michael Reed. The course will cover most, but not all, of the material in Chapters 1-6.
The first part of the course will cover basic numerical linear algebra, in particular matrix factorizations, solution of linear systems and eigenproblems, nonlinear equations in 1 dimensions. If time permits, we shall discuss recent randomized algorithms in numerical linear algebra.
We discuss several related topics and techniques at the intersection between probability, approximation theory, high-dimensional geometry, and machine learning and statistics.
We build on basic tools in large deviation theory and concentration of measure and move to problems in non-asymptotic random matrix theory (RMT), such estimating the spectral properties of certain classes of random matrices.
We then use these tools to study metric proeprties of certain maps between linear spaces that are near-isometry, such as random projections. We then move to the setting of general metric spaces, and introduce multiscale approximation of metric spaces a la Bourgain, and also discuss tree approximations, and hint at the algorithmic applications of these ideas. Finally we move to the real of function approximation/estimation/machine learning for functions defined on high-dimensional spaces. We discuss Reproducing Kernel Hilbert Spaces and learning iwth RKHS's, and we also discuss multiscale techniques for function approximation in high-dimensions. We discuss also geometric methods, both graph based (Laplacians, manifold learning) and multiscale-based. Finally, we discuss recent fast randomized algorithmic for certain numerical linear algebra computations, that use non-asymptotic RMT results discussed above.
Requirements: solid linear algebra and basic probability. Of help, but to be introduced in the course: metric spaces, function spaces, matrix factorizations.
A course wiki contains links to lecture notes, papers and other materials. May be edited by students in the class.
Textbook: Fundamental Ideas of Analysis, by Michael Reed. The course will cover most, but not all, of the material in Chapters 1-6.
There will be a midterm exam, a final exam and weekly homework.
Evaluation: There will also be at least one lengthy assignment which challenges you to write carefully constructed proofs.
Your final letter grade will be based on these components weighted as follows: long assignment(s) 10-15%, regular homework 20-25%, midterm exam 25%, final exam 40%.
Homework is due at the beginning of class, stapled, written legibly, on one side of each page only and must contain the reaffirmation of the
Duke community standard.
Otherwise, it will be returned ungraded. The logic of a proof must be completely clear and all steps justified.
The clarity and completeness of your arguments will count as much as their correctness.
Some problems from the homework will reappear on exams. I will go over in detail the solution to any homework problem during office hours.
You may use a computational aid for the homework but I do not recommend it. Calculators and computers will not be allowed on the quizzes and exams.
The lowest homework score will be dropped. No late homework will be accepted. Duke policies apply with no exceptions to cases of incapacitating short-term illness,
or for officially recognized religious holiday.
You may, and are encouraged to, discuss issues raised by the class or the homework problems with your fellow students and both offer and receive advice. However all submitted homework must be written up individually without consulting anyone else's written solution.
We will discuss the basics of spectral graph theory, which studies random walks on graphs, and related objects such as the Laplacian and its eigenfunctions, on a weighted graph.
This can be thought as a discrete analogue to spectral geometry, albeit the geometry of graphs and their discrete nature gives rise to issues not generally considered in the continuous, smooth case of Riemannian manifolds.
We will present some classical connections between properties of the random walks and the geometry of the graph.
We will then discuss disparate applications: the solution of sparse linear systems by multiscale methods based on random walks; analysis of large data sets
(images, web pages, etc...), in particular how to find systems of coordinates on them, performing dimensionality reduction, and performing multiscale analysis
on them; tasks in learning, such as spectral clustering, classification and regression on data sets.
Materials:
Code for the demo involving drawing a set a points, constructing an associated proximity graph, and computing and displaying eigenvalues/eigenfunctions of the Laplacian. You need to first download and install the general code for Diffusion Geometry (last updated on 1/29/08), and then download and install this code for running the demo I ran in class, with some images already prepared. After installing the Diffusion Geometry package, please run DGPaths in order to set the Matlab paths correctly. The script for the demo is called GraphEigenFcnsEx_01.m, and it is fairly extensively commented. I will be happy to add your own examples here! The code works best with the Approximate Nearest Neighbor Searching Library by D. Mount and S. Arya. To install this code, simply untar in a directory and run make. This should produce the file libANN.a in the lib subdirectory. This file is already included in the Diffusion Geometry package, in the MEX directory, compiled on a Unix machine at Duke Math. Copy this library libANN.a in the MEX directory, under the directory where the Diffusion Geometry package, and from the Matlab prompt run "mex ANNsearch libANN.a" and "mex ANNrsearch libANN.a". This will yield two .mexglx files, that are what Matlab will call. These two files are already included in the Diffusion Geometry package, after compilation on a Unix machine at Duke Math.
References:
R. Diestel's book on Graph Theory is an excellent general reference. Availble online here.
D. Spielman notes for his course on Spectral Graph Theory at Yale; several papers on specific applications, dependent on the attendant's interests.
D. Spielman notes on his course on Graphs and Networks at Yale. Some overlap with the above, but also other references and materials.
F. Chung's book "Spectral Graph Theory". She also wrote a book on "Complex Graphs and Networks", mostly on random graphs and their degree distribution properties, and also some spectral results for them. Visit her homepage for lots of interesting material on graphs, spectral graph theory and its applications. In particular see the gallery of graphs.
I plan to develop lecture notes as the course proceeds. Last update: 1/10/07.
The notes are still in a very preliminary should be downloaded and used by students of the course only, and should not be divulgated, replicated if not
for purposes related to the course.
When a more stable version will become available, certain of these restrictions will be removed.
This link will be updated regularly. Right now they are in an extremely preliminary state, and at times they may not even be accessible through the link provided.
A list of topics for presentation suggested for the course (by instructor or students), and the students currently working on them is available
here. |
Algebra and Trigonometry: Real Math, Real People - 6th edition
Summary: Ideal for courses that require the use of a graphing calculator, ALGEBRA AND TRIGONOMETRY: REAL MATHEMATICS, REAL PEOPLE, 6th Edition, features quality exercises, interesting applications, and innovative resources to help you succeed. Retaining the book's emphasis on student support, selected examples include notations directing students to previous sections where they can review concepts and skills needed to master the material at hand. The book also achieves accessibility through c...show moreareful writing and design--including examples with detailed solutions that begin and end on the same page, which maximizes readability. Similarly, side-by-side solutions show algebraic, graphical, and numerical representations of the mathematics and support a variety of learning styles. Reflecting its new subtitle, this significant revision focuses more than ever on showing readers the relevance of mathematics in their lives and future 1111428425143.40 +$3.99 s/h
Good
Textbook Tycoon Lexington, KY
Hardcover Good 1111428425175251.72 +$3.99 s/h
Good
Facetextbooks Pittsburg, KS
Hardcover 6th Edition text. Hardcover. Book is in good condition. Contains little to no writing/highlighting. If book is ordered on Saturday after noon it will not ship until Monday.. Ships fast. Expe...show moredited |
Written by three gifted—and funny—teachers, How to Ace Calculus provides humorous and readable explanations of the key topics of calculus without the technical details and fine print that would be found in a more formal text. Capturing the tone of students exchanging ideas among themselves, this unique guide also explains how calculus is taught, how to get the best teachers, what to study, and what is likely to be on exams—all the tricks of the trade that will make learning the material of first-semester calculus a piece of cake. Funny, irreverent, and flexible, How to Ace Calculus shows why learning calculus can be not only a mind-expanding experience but also fantastic fun.
REVIEWS
Praise for How to Ace Calculus
"Imagine calculus is a solid old house built on good foundations. When the time comes to sell it to a new owner, a lick of brightly colored, cheery paint can do wonders. This is what Adams, Hass, and Thompson have done in How to Ace Calculus."—Keith Devlin, Dean, School of Science, St. Mary's College (CA), Senior Researcher, Stanford University, and author of The Language of Mathematics
"This is a marvelous, user-friendly introduction to the basic ideas of calculus. It is effective, humorous and eminently practical. The book that 100,000 calculus students have been searching for is finally here."—Ron Graham, Chief Scientist, AT&T Labs, former President of the American Mathematical Society, and author of Concrete Mathematics: A Foundation of Computer Science
"Can a calculus book be lighthearted and engaging? Surprisingly, yes, and here is one that does the job."—Thomas Banchoff, Professor of Mathematics, Brown University, President-Elect of the Mathematics Association of America, and author of Beyond the Third Dimension
"This book is dangerously clear, direct, and funny. It should be suppressed before it jeopardizes the time-tested function of the calculus sequence to befuddle and filter surplus students."—William Thurston, Professor of Mathematics, University of California at Davis, Fields Medalist, and former Director of the Mathematical Sciences Research Institute
"Comic opera meets college math in this amusing and edifying roller coaster of an introduction to calculus."—Ivars Peterson, author of The Mathematical Tourist
Reviews from Goodreads
BOOK EXCERPTS
Read an Excerpt
ABOUT THE AUTHOR
Colin Adams, Abigail Thompson, and Joel Hass |
Synopses & Reviews
Publisher CommentsSynopsis:
This book not only introduces proof techniques and other foundational principles of higher mathematics, but also helps students develop the necessary abilities to read, write and prove using mathematical definitions, examples and theorems.
Synopsis:
Reading, Writing, and Proving is designed to guide mathematics students during their transition from algorithm-based courses
SynopsisAbout the Author
Ueli Daepp is an associate professor of mathematics at Bucknell University in Lewisburg, PA. He was born and educated in Bern, Switzerland and completed his PhD at Michigan State University. His primary field of research is algebraic geometry and commutative algebra. Pamela Gorkin is a professor of mathematics at Bucknell University in Lewisburg, PA. She also received her PhD from Michigan State where she worked under the director of Sheldon Axler. Prof. Gorkin's research focuses on functional analysis and operator theory. Ulrich Daepp and Pamela Gorkin co-authored of the first edition of "Reading, Writing, and Proving" whose first edition published in 2003. To date the first edition (978-0-387-00834-9 ) has sold over 3000 copies.
"Synopsis"
by Springer,
This book not only introduces proof techniques and other foundational principles of higher mathematics, but also helps students develop the necessary abilities to read, write and prove using mathematical definitions, examples and theorems.
"Synopsis"
by Springer,
Reading, Writing, and Proving is designed to guide mathematics students during their transition from algorithm-based courses
"Synopsis"
by Springer, |
1133103529
9781133103523
Student Solutions Manual for Stewart/Redlin/Watson's Trigonometry, 2nd:Contains fully worked-out solutions to all of the odd-numbered exercises in the text, giving students a way to check their work and ensure that they took the correct steps to arrive at an answer. |
The Calculus Tutor DVD Series will help students understand the fundamental elements of calculus- -how to take algebra and extends it to include rates of change between quantities. Concepts are introduced in an easy to understand way and step-by-step example problems help students understand each part of the process.
This lesson teaches students how to solve related rates problems in Calculus, including word problems that involve two or more quantities that are changing with respect to one another. Grades 9-12. 29 minutes on DVD. |
MATH 454 The Real Number System
A theoretical development of the real number system. Properties of real numbers. Binary operations. Associative, commutative, and distributive laws. Rational and irrational numbers. Laws of exponents. Radicals. Decimal representation. This course is intended only for students enrolled in the secondary mathematics education program. A student may not receive credit for both MATH 454 and MATH 453 |
Written by a distinguished mathematician, the dozen absorbing essays in this versatile volume offer both supplementary classroom material and pleasurable reading for the mathematically inclined. The essays promise to encourage readers in the further study of elementary geometry, not just for its own sake, but also for its broader applications, which receive a full and engaging treatment. Beginning with an analytic approach, the author reviews the functions of Schlafli and Lobatschefsky and discusses number theory in a dissertation on integral Cayley numbers. A detailed examination of group theory includes discussion of Wythoff's construction for uniform polytopes, as well as a chapter on regular skew polyhedra in three and four dimensions and their topological analogues. A profile of self-dual configurations and regular graphs introduces elements of graph theory, followed up with a chapter on twelve points in PG (5, 3) with 95040 self-transformations. Discussion of an upper bound for the number of equal nonoverlapping spheres that can touch another same-sized sphere develops aspects of communication theory, while relativity theory is explored in a chapter on reflected light signals. Additional topics include the classification of zonohedra by means of projective diagrams, arrangements of equal spheres in non-Euclidean spaces, and regular honeycombs in hyperbolic space. Stimulating and thought-provoking, this collection is sure to interest students, mathematicians, and any math buff with its lucid treatment of geometry and the crucial role geometry can play in a wide range of mathematical applications.
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Written by a nationally known mathematics educator, this lab manual provides activities for students using free/shareware software tools. Active Geometry offers inquiry-based, student-centered, technology-rich topical investigations into the study of geometry. The tools that Thomas includes leads students to construct, observe, conjecture, and debate their thinking. After completing the labs, students are ready for and appreciative of analytic explanations of geometric |
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). |
How is that you can walk into a classroom and gain an overall sense of thequality of math instruction taking place there? What contributes to gettingthat sense? In Math Sense, Chris Moynihan explores some of the componentsthat comprise the look, sound, and feel of effective teaching and learning.Does the landscape of the classroom feature such items... more...
How can we solve the national debt crisis? Should you or your child take on a student loan? Is it safe to talk on a cell phone while driving? Are there viable energy alternatives to fossil fuels? What could you do with a billion dollars? Could simple policy changes reduce political polarization? These questions may all seem very different, but they... more...
This book explores the interaction between Europe and East Asia between the 16th and the 18th centuries in the field of mathematical sciences, bringing to the fore the role of Portugal as an agent of transmission of European science to East Asia. It is an important contribution to understanding this fundamental period of scientific history, beginning... more...
While computational technologies are transforming the professional practice of mathematics, as yet they have had little impact on school mathematics. This pioneering text develops a theorized analysis of why this is and what can be done to address it. It examines the particular case of symbolic calculators (equipped with computer algebra systems) in... more... |
collegeboard ap calculus answers 1994 ab5 practice |
Inside the Book:Preliminaries and Basic OperationsSigned Numbers, Frac-tions, and PercentsTerminology, Sets, and ExpressionsEquations, Ratios, and ProportionsEquations with Two Vari-ablesMonomials, Polynomials, and FactoringAlgebraic FractionsInequalities, Graphing, and Absolute ValueCoordinate GeometryFunctions and VariationsRoots and RadicalsQuadratic EquationsWord ProblemsReview QuestionsResource CenterGlossaryWhy CliffsNotes?Go with the name you know and trust...Get the information you need—fast!Master the Basics–FastComplete coverage of core conceptsEasy topic-by-topic organizationAccess hundreds of practice problems at CliffsNotes.comread more |
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 |
This course covers what is usually taught in a second year high school algebra course. Intermediate Algebra covers algebraic techniques, equations, and inequalities, functions and graphs, exponential and logarithmic functions, systems of equations and inequalities. To be successful in this course the student should be familiar with the material in the Arithmetic Module and the material in the first six sections of the Algebra module. This course has 22M:001, or a satisfactory score on the UI math placement exam as a prerequisite. |
Learn how to easily do quick mental math calculations Speed... more...
Everything you need to know to ace the math sections of the NEW SAT!
He's back! And this time Bob Miller is helping you tackle the math sections of the new and scarier SAT! Backed by his bestselling "Clueless" approach and appeal, Bob Miller's second edition of SAT Math for the Clueless once again features his renowned tips, techniques, and... more...
Flummoxed by formulas? Queasy about equations? Perturbed by pi? Now you can stop cursing over calculus and start cackling over Math, the newest volume in Bill Robertson's accurate but amusing Stop Faking It! best sellers. As Robertson sees it, too many people view mathematics as a set of rules to be followed, procedures to memorize, and theorems... more...
Blending theoretical constructs and practical considerations, the book presents papers from the latest conference of the ICTMA, beginning with the basics (Why are models necessary? Where can we find them?) and moving through intricate concepts of how students perceive math, how instructors teach-and how both can become better learners. Dispatches as... more...
Teaching mathematics to a range of learners has always been challenging. With inclusion and RTI, effective teaching for struggling students is more important than ever. My Kids Can shares instructional that allows struggling learners to move toward grade-level competency by making mathematical thinking explicit, linking assessment and teaching, building... more...
Practice Makes Perfect has established itself as a reliable practical workbook series in the language-learning category. Now, with Practice Makes Perfect: Geometry, students will enjoy the same clear, concise approach and extensive exercises to key fields they've come to expect from the series--but now within mathematics. Practice Makes Perfect: |
What can we learn from fish in a pond? How do social networks connect the world? How can artificial intelligences learn? Why would life be different in a mirror universe?Mathematics is everywhere, whether we are aware of it or not.
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$111Straightforward Statistics: Understanding the Tools of Research is a clear and direct introduction to statistics for the social, behavioral, and life sciences. Based on the author's extensive experience teaching undergraduate statistics, this ...
ISBN: 9780199751761
Binding: Hardback
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This is the perfect introduction for those who have a lingering fear of maths. If you think that maths is difficult, confusing, dull or just plain scary, then The Maths Handbook is your ideal companion. Covering all the basics including |
Learn how to easily do quick mental math calculations Speed Math for Kids is your guide to becoming a math genius--even if you have struggled with math in the past. Believe it or not, you have the ability to perform lightning quick calculations that will astonish your friends, family, and teachers. You'll be able to master your multiplication tables... more...
The highly-acclaimed MEI series of text books, supporting OCR's MEI Structured Mathematics specification, has been updated to match the requirements of the new specifications, for first teaching in 2004 more...
The highly-acclaimed MEI series of text books, supporting OCR's MEI Structured Mathematics specification, has been updated to match the requirements of the new specifications, for first teaching in 2004 more...
This book is centrally concerned with how mathematics education is represented and how we understand mathematical teaching and learning with view to changing them. It considers teachers, students and researchers. It explores their mathematical thinking and the concepts that this thought produces. But also how these concepts acquire cultural layers... more...
There have been many advancements in sports technology that help athletes perform to the best of their abilities in the Olympic Games. Some of these advancements include shoes and equipment, tools used to measure times, clothing, and the surfaces on which many events take place. Now, computers are used to track timed events, which makes scores even... more... |
Multiplying and dividing large numbers. Simplifying fractions and converting percentages. Handling square roots and exponents. These and other skills are the veritable foundation on which all of mathematics rests. To master them is to unlock the door to more advanced areas of study—such as algebra, geometry, and calculus—and to discover new levels of confidence in dealing with the math of everyday life.
Whether you're a high-school student preparing for the challenges of higher math classes, an adult who needs a refresher in math to prepare for a new career, or someone who just wants to keep his or her mind active and sharp, there's no denying that a solid grasp of arithmetic and prealgebra is essential in today's world. Knowing the fundamentals of mathematics can
increase your chances of success in high-school and college math classes;
prepare you for a career in a field that requires a strong foundation in math, such as economics, engineering, medicine, and the building trades;
strengthen your everyday critical thinking skills; and
help you handle with confidence everyday tasks such as shopping and planning a personal budget.
Yet despite how basic this kind of math may seem, the mechanics of mathematics remains a mystery to many of us because we've been taught to focus solely on our answers. But in the opinion of award-winning Professor James A. Sellers of The Pennsylvania State University, a true understanding of basic math involves more than just arriving at the right solution. It involves
properly understanding the nature of numbers and mathematical concepts,
paying close attention to the step-by-step processes behind different calculations, and
thinking about what you're solving for—and why you're solving for it in a specific way.
This more well-rounded approach to the basics of mathematics is a surefire way to strengthen your current knowledge or to gain new skills for more deftly and confidently approaching and dealing with math. And it's all available to you in Professor Sellers' engaging course, Mastering the Fundamentals of Mathematics. Using the same inspirational teaching skill and experience he's brought to his other popular Great Courses in math, Professor Sellers reveals the secrets behind all the key math topics you need to know. In 24 lectures packed with helpful examples, practice problems, and guided walkthroughs, you'll finally grasp the all-important fundamentals of math in a way that truly sticks.
Explore All the Essential Areas of Basic Math
Designed for lifelong learners of all ages, Mastering the Fundamentals of Mathematics zeroes in on topics that everyone needs to know:
With each topic, Professor Sellers shows you how to approach, understand, and solve problems of varying complexity. And, later in the course, he offers brief introductions to more advanced areas of math and prealgebra, including
two-dimensional geometry,
elementary number theory, and
basic probability and statistics.
And whether he's discussing the order of operations or introducing you to methods for plotting points on a coordinate plane, Professor Sellers shows that the key to facing down more intimidating math problems is by tapping into basic concepts and calculations you've already mastered. Like an inspirational instructor who only has your success in mind, he reveals how basic math comes together—and even works together—to help you solve problems such as finding the area of a circle or breaking down a complex word problem involving statistics.
Learn Tricks and Shortcuts for Solving Problems
To help you solve problems with greater ease, Mastering the Fundamentals of Mathematics is packed with tips, tricks, techniques, and shortcuts. Here's just a small sampling of what you'll find in this course.
Reducing fractions to their lowest terms: When dealing with fractions in math, you'll often be required to express your answers in the lowest terms to make the fractions easier to understand. So how can you tell when a fraction has been reduced to its lowest term? You'll know because the only divisor or factor that the numerator (top number) and denominator (bottom number) share is 1. For example, the fraction 4/8 is not in its lowest term because both numbers share a factor of 2.
Adding numbers with different signs: What's a less complicated way to solve an addition problem such as 7 + (- 3) without using a number line? First, figure out which number has the larger absolute value (7). Then, subtract the other absolute value from this one (7 – 3 = 4) and attach the sign of the number that had the larger absolute value (4). That's it!
Lining up decimal points: Sometimes, performing calculations with large decimals (such as 153.46 + 5343.3) can be tricky, but the important point is knowing when to align your decimal points. In addition and subtraction problems, it's essential to line up corresponding digits in a right-justified way to get the correct answer; with multiplication and division, however, this alignment is unnecessary.
Calculating tips in your head: Do you always find yourself unsure of how much of a tip to leave? Knowing how to work with percentages and decimals makes it easy. To calculate a 15% tip, take 10% of the bill just by moving the decimal point one place to the left (example: $12.00 would be $1.20). Then, add half of that number ($More_info$.60) to that amount and you've got the answer ($1.80). If you want to leave a 20% tip, take 10% of the bill ($1.20) and just double it ($2.40).
An Interactive, Engaging Way to Learn Math
An added feature of Mastering the Fundamentals of Mathematics is its interactive nature. At specific points in a given lecture, Professor Sellers gives you a problem and invites you to pause the course, try your best to solve the problem, and then continue the course to check youranswer alongside his and chart your personal progress. Oftentimes, Professor Sellers roots his practice problems in everyday scenarios in which you're likely to find yourself, such as paying for groceries and tipping at restaurants.
Plus, he's crafted a free, comprehensive workbook with a complete answer key to go along with his course—one that comes filled with additional practice problems on each topic he covers in the course.
Yet even with its wealth of practice problems and exercises, what makes this course so rewarding is ultimately Professor Sellers himself. As Director of Undergraduate Mathematics at The Pennsylvania State University, he's in the unique position of knowing the specific areas math students have trouble with—and the specific ways to help them over these common hurdles. Calm and clear, this winner of the Teresa Cohen Mathematics Service Award is a constantly encouraging presence who refuses to let you give up and helps you prove to yourself that you can be successful in math.
So whether you're just setting out on your mathematical journey or whether you simply want to rediscover what you've forgotten, you'll find Mastering the Fundamentals of Mathematics to be an invaluable guide to an invaluable subject.
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This course provides a brisk, entertaining treatment of differential and integral calculus, with an emphasis on conceptual understanding and applications to the engineering, physical, and social sciences.
The course provides an introduction to the mathematical analysis and linear algebra. The course starts with the real numbers and the related one-variable real functions by studying limits, and continuity.
M2O2C2 provides a first taste of multivariable differential calculus. By introducing the machinery of linear algebra, this course provides helpful tools for understanding the derivative of a function of many variables.
Calculus Two: Sequences and Series is an introduction to sequences, infinite series, convergence tests, and Taylor series. The course emphasizes not just getting answers, but asking the question "why is this true?"
Highlights of Calculus is a series of short videos that introduces the basics of calculus, how it works and why it is important. The intended audience is high school students, college students, or anyone who might need help understanding the subject.
Differential equations are, in addition to a topic of study in mathematics, the main language in which the laws and phenomena of science are expressed. In basic terms, a differential equation is an expression that describes how a system changes from one moment of time to another, or from one point in space to another.
Multivariable Calculus is an expansion of Single-Variable Calculus in that it extends single variable calculus to higher dimensions. You may find that these courses share many of the same basic concepts, and that Multivariable Calculus will simply extend your knowledge of functions to functions of several variables.
The main purpose of this course is to bridge the gap between introductory mathematics courses in algebra, linear algebra, and calculus on one hand and advanced courses like mathematical analysis and abstract algebra, on the other hand, which typically require students to provide proofs of propositions and theorems. |
Understanding Elementary Algebra With Geometry - A Course for College Students - With CD - 6th edition
Summary: Hirsch and Goodman offer a mathematically sound, rigorous text to those instructors who believe students should be challenged. The text prepares students for future study in higher-level courses by gradually building students' confidence without sacrificing rigor. To help students move beyond the "how" of algebra (computational proficiency) to the "why" (conceptual understanding), the authors introduce topics at an elementary level and return to t...show morehem at increasing levels of complexity. Their gradual introduction of concepts, rules, and definitions through a wealth of illustrative examples -- both numerical and algebraic--helps students compare and contrast related ideas and understand the sometimes-subtle distinctions among a variety of situations. This author team carefully prepares students to succeed in higher-level mathematics. ...show less
Types of Equations. Solving First-Degree Equations in One Variable and Applications. More First-Degree Equations and Applications. Types of Inequalities and Basic Properties of Inequalities. Solving First-Degree Inequalities in One Variable and Applications.
0534999727 CD ROM IS NOT INCLUDED Your purchase benefits those with developmental disabilities to live a better quality of life. minimal wear on edges and corn...show moreers minimal stains on edges highlighting or writing on some pages ...show less
$35.00 +$3.99 s/h
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Nettextstore Lincoln, NE
2005 Hardcover Fair CONTAINS SLIGHT WATER DAMAGE / STAIN, STILL VERY READABLE, SAVE! NO CD! ! This item may not include any CDs, Infotracs, Access cards or other supplementary material.
$5051 |
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Overview
How do you draw a straight line? How do you determine if a circle is really round? These may sound like simple or even trivial mathematical problems, but to an engineer the answers can mean the difference between success and failure. How Round Is Your Circle? invites readers to explore many of the same fundamental questions that working engineers deal with every day--it's challenging, hands-on, and fun.
John Bryant and Chris Sangwin illustrate how physical models are created from abstract mathematical ones. Using elementary geometry and trigonometry, they guide readers through paper-and-pencil reconstructions of mathematical problems and show them how to construct actual physical models themselves--directions included. It's an effective and entertaining way to explain how applied mathematics and engineering work together to solve problems, everything from keeping a piston aligned in its cylinder to ensuring that automotive driveshafts rotate smoothly. Intriguingly, checking the roundness of a manufactured object is trickier than one might think. When does the width of a saw blade affect an engineer's calculations--or, for that matter, the width of a physical line? When does a measurement need to be exact and when will an approximation suffice? Bryant and Sangwin tackle questions like these and enliven their discussions with many fascinating highlights from engineering history. Generously illustrated, How Round Is Your Circle? reveals some of the hidden complexities in everyday things.
What People Are Saying
John Mason
This book is a mine of exploration and information. I would recommend it to anyone with an interest in how things work and in how mathematics can help make sense of the world. Budding engineers and mathematicians will find it an inspiration.
— John Mason, The Open University
Nahin
Truly impressive. This book builds a bridge across the ordinarily huge chasm separating how engineers and mathematicians view the world. Its innovative approach will be refreshing to readers with an engineering bent, and an eye-opener for many mathematicians. The audience for this book includes just about anyone who has any curiosity at all about how mathematics helps in explaining the world.
— Paul J. Nahin, author of "An Imaginary Tale"
David Richeson
I learned a lot from this book. I think it will have wide appeal, including with those readers who are interested in mathematics and those who are interested in building models. I was up until midnight the other night making a hatchet planimeter out of a coat hanger and washers!
— David Richeson, Dickinson College
Editorial Reviews
EMS Newsletter
The book is very nicely printed and contains many nice figures and photographs of physical models, as well as an extensive bibliography. It can be recommended as a formal or recreational lecture both for mathematicians and engineers.
American Scientist
- Stan Wagon
New Scientist
- Matthew Killeya
Plus Magazine
- Owen Smith
Journal of the Society of Model and Experimental Engineers
- Norman Billingham
This book is very clearly written and beautifully illustrated, with line drawings and a collection of photographs of practical models. I can strongly recommend it to anyone with a bit of math knowledge and an interest in engineering problems—a terrific book.
LMS Newsletter
- John Sharp
Mathematics Teacher
- Tim Erickson
From the Publisher
"."—Stan Wagon, American Scientist—Matthew Killeya, New Scientist
"."—Civil Engineering
"."—Owen Smith, Plus Magazine
"This book is very clearly written and beautifully illustrated, with line drawings and a collection of photographs of practical models. I can strongly recommend it to anyone with a bit of math knowledge and an interest in engineering problems—a terrific book."—Norman Billingham, Journal of the Society of Model and Experimental Engineers
"."—John Sharp, LMS Newsletter
"."—Tim Erickson, Mathematics Teacher
"The book is very nicely printed and contains many nice figures and photographs of physical models, as well as an extensive bibliography. It can be recommended as a formal or recreational lecture both for mathematicians and engineers."—EMS Newsletter
American Scientist— Stan Wagon
New Scientist— Matthew Killeya
LMS Newsletter— John Sharp
Plus Magazine— Owen Smith
Journal of the Society of Model and Experimental Engineers
This book is very clearly written and beautifully illustrated, with line drawings and a collection of photographs of practical models. I can strongly recommend it to anyone with a bit of math knowledge and an interest in engineering problems—a terrific book.
— Norman Billingham
Civil Engineering
.
Mathematics Teacher— Tim Erickson
Matthew Killeya
—New Scientist
Related Subjects
Meet the Author
John Bryant is a retired chemical engineer. He was lecturer in engineering at the University of Exeter until 1994. Chris Sangwin is lecturer in mathematics at the University of Birmingham. He is the coauthor of "Mathematics Galore |
...
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strategies, as well as specific tools, for tackling GMAT word problems in all their various guises.
Unlike other guides that attempt to convey everything in a single tome, the Word Problems Strategy Guide is designed to provide deep, focused coverage of one specialized area tested on the GMAT. As a result, students benefit from thorough and comprehensive subject material, clear explanations of fundamental principles, and step-by-step instructions of important techniques. In-action practice problems and detailed answer explanations challenge the student, while topical sets of Official Guide problems provide the opportunity for further growth.
Used by itself or with other Manhattan GMAT Strategy Guides, the Word Problems Guide will help students develop all the knowledge, skills, and strategic thinking necessary for success on the GMAT.
Purchase of this book includes one year of access to Manhattan GMAT's online computer-adaptive practice exams and Word Problems Question Bank. All Manhattan GMAT Strategy Guides are aligned with the 13th edition GMAC Official Guide.
Meet the Author
In the last decade, Manhattan GMAT has grown from a single, dedicated tutor to a major test prep company with locations across the U.S. |
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, forPc Calculator is a clever note and formula editor combined with an advanced and strong scientific calculator. Being an editor it is extremely user-friendly allowing all possible typing and other errors to be easily corrected and fast recalculated |
Beginning Algebra with Applications and Visualization
The Rockswold/Krieger algebra series fosters conceptual understanding by using relevant applications and visualization to show students why math ...Show synopsisThe Rockswold/Krieger algebra series fosters conceptual understanding by using relevant applications and visualization to show students why math matters. It answers the common question ??? When will I ever use this???? Rockswold teaches students the math in context, rather than including the applications at the end of the presentation. By seamlessly integrating meaningful applications that include real data and supporting visuals (graphs, tables, charts, colors, and diagrams), students are able to see how math impacts their lives as they learn the concepts. The authors believe this approach deepens conceptual understanding and better prepares students for future math courses and life.Hide synopsis
Description:Hardcover. Instructor Edition: Same as student edition with...Hardcover. Instructor Edition: Same as student edition with additional notes or answers. New Condition. SKU: 9780321747969Description:Fine. Hardcover. Instructor Edition: Same as student edition...Fine. Hardcover. Instructor Edition: Same as student edition with additional notes or answers. Almost new condition. SKU: 9780321747969 |
Prime numbers are the multiplicative building blocks of natural numbers. Understanding their overall influence and especially their distribution gives rise to central questions in mathematics and physics. In particular their finer distribution is closely connected with the Riemann hypothesis, the most important unsolved problem in the mathematical world. Assuming only subjects covered in a standard degree in mathematics, the authors comprehensively cover all the topics met in first courses on multiplicative number theory and the distribution of prime numbers. They bring their extensive and distinguished research expertise to bear in preparing the student for intelligent reading of the more advanced research literature. This 2006 text, which is based on courses taught successfully over many years at Michigan, Imperial College and Pennsylvania State, is enriched by comprehensive historical notes and references as well as over 500 exercises. less |
This course is intended to provide students with a knowledge of a variety of mathematical subjects including:
sets, logic, numeration systems, the metric system, topology, and consumer
mathematics. The prerequisites are Algebra I and either Algebra II or Geometry andsuccessful
completion of a placement test.
Homework:Homework problems are periodically collected and graded.You will receive a grade of 0, 1 or 2.The first part of each class will be spent
going over the assigned problems.Be
sure that you understand all of the homework, since that is the basis for quiz
and test questions.
Quizzes:Quizzes
will bebased
on the homework.If you have difficulty
with a problem make surethat you speak up when we go over the homework.If you miss a quiz, a grade of zero will be
given.Therefore, attendance becomes
crucial.
Tests:There
will be three tests and a final exam. IF YOU DO NOT SHOW UP FOR A TEST, A GRADE
OF ZERO WILL BE GIVEN.The only exceptions to
this rule will be by PRIOR approval of the instructor.
Attendance: There is no formal attendance requirement
other than missed tests and quizzes are recorded as zeros.If you are aware of an upcoming absence,
please notify me in advance, so we can make arrangements for missed work.Absences for extenuating circumstances can be
dealt with on an individual basis. Be sure to email or call if you miss a class
so you can make up the work BEFORE the next class meeting. If you stop attending classes, YOU must
withdraw from the class to avoid a grade of "F".I do not withdraw students.
Calendar: Last day to drop with a refund is Sept 10.
Last
day to drop without grade penalty is Nov 2.
Grades:Your
grade will be calculated on the following basis:
Tests60%
Final exam20%
Quizzes10%
Homework
10%
Your total
percentage will determine your grade by the scale:
90 - 100%....... A
80 - 89....... B
70 - 79....... C
60 - 69....... D
below
60....... F
Help:Help can
be obtained from
- theMathCenter, LR204 (no app't necessary)
- free tutoring service (Sign up as soon as possible online.)
- I will be
available during office hours.
- You can
always call me at home.
***** If you have any specific learning or physical
disability, please discuss your difficulties with me so that I may accommodate
your needs.****
*****Fire exits are posted at the door.Please locate the nearest exit in case of
emergency.
*****CHEATING WILL NOT BE TOLERATED.ANYONE FOUND TO BE CHEATING WILL BE GIVEN A
FAILING GRADE FOR THE COURSE. |
Albert B. Bennett, Jr. and L. Ted Nelson have presented hundreds of workshops on how to give future teachers the conceptual understanding and procedural fluency they will need in order to successfully teach elementary-school mathematics. "The Eighth Edition of Mathematics for Elementary Teachers: A Conceptual Approach" continues their innovative, time-tested approach: an emphasis on learning via specific, realistic examples and the extensive use of visual aids, hands-on activities, problem-solving strategies and active classroom participation. Special features in the text ensure that prospective teachers will gain not only a deeper understanding of the mathematical concepts, but also a better sense of the connections between their college math courses and their future teaching experiences, along with helpful ideas for presenting math to their students in a way that will generate interest and enthusiasm. The text draws heavily on NCTM Standards and contains many pedagogical elements designed to foster reasoning, problem-solving and communication skills. The text also incorporates references to the virtual manipulative kit and other online resources that enhance the authors' explanations and examples. |
Posts Tagged ' homeschool math '
Key Curriculum Press was founded in 1971 by Peter and Steven Rasmussen to provide the educational community with alternative mathematics materials. Based on their experiences as mathematics teachers, Peter and Steven wrote and produced the initial texts, which launched the company, and Steven remains its president today. Key Curriculum Press publishes high school mathematics... Read More »
The educational CD-ROM Solid Gold Gnarly Math offers more than eighteen hours of entertainment and instruction and teaches Geometry, Algebra, Trig, Probability, Statistics, Numbers, and Topology. It also features games, magic tricks, puzzles, and a Math Lab. This CD can be helpful if you'd like to provide your kids with a head-start in mastering |
Why It Is Important to Learn Algebra - EdSource
This PDF document is a parent/student guide explaining why Algebra I is a required subject, how it helps prepare students for the future, how Algebra I fits into the student's high school math program, and what parents can do to support their student's
...more>>
Wikipedia Mathematics
The free encyclopedia's entries on mathematics. A wiki is a collection of interlinked web pages, any of which can be visited and edited by anyone at any time. Many pages also available in a range of foreign languages.WinFlash Flashcard Library - Open Window Software
A general purpose study program for helping students memorize math facts. Free flashcard decks and a fractions problem generator for use in mastering basic arithmetic facts. For use with any of the WinFlash series of flashcard-based learning systems.Winpossible
Online math courses in Winpossible's learning environment replicate the live classroom experience through authoring, presentation and distribution technologies that allow students to hear the teacher's voice and see their handwriting over the Internet.
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Without Geometry, Life Is Pointless - Avery Pickford
"Musings on math, education, teaching, and research" by a teacher. Blog posts, which date back to May, 2010, have included "What Makes a Problem Great," "Habits of Mind," "My 6th Grade Version of Algebra," "Technology in School: Where's My Hovercraft?Wolfram|Alpha - Wolfram Alpha LLC
A computational knowledge engine that "computes whatever can be computed about anything." Query Alpha about "essentially any kind of systematic factual knowledge," with particular strengths in "areas where computation or mathematics have traditionally
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Women's Studies Database - University of Maryland
The women's studies database serves those interested in the women's studies profession and women's issues in general. Collections of conference announcements, pedagogy and other bibliographies by and about women, calls for papers, employment opportunities,
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Word.Net's Ambigram Website - David Holst
An ambigram is a word or words that can be read in more than one way or from more than a single vantage point, such as both right side up and upside down (from Latin: ambi=both + gram=letter). Read the FAQ or create your own ambigrams online.
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Wordplay - John Langdon
On the application of ambigrams (words as art) in various fields of study. Most ambigrams are based on one form of symmetry or another; most of Langdon's ambigrams exemplify rotational symmetry.
...more>>
Words & Numbers
Providers of content development services to K–12 educational publishers in the basal, supplemental, assessment, and new media markets. In particular, see their featured math projects and activities for the CBS television drama NUMB3RS. Founded in 2000
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World Education.Net Directory - Edutech
A searchable CD-ROM in the form of an offline browser that provides everything needed to help teachers get started using the Internet, providing a database of institutions involved in education worldwide, including email addresses, contact names and details,
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World Math Day - 3P Learning
The World Math Day website provides five- to eighteen-year olds with mental arithmetic questions to solve in competition with other math students from around the globe. Recent World Math Days, which take place in early March, have attracted participation
...more>>
The World of Geometric Toy - Akira Nishihara
Play with animations and applets of Buckminster Fuller's Tensegrity and the Indian Ball (also known as the flexi-sphere), as well as wire-frame renderings of the torus, the magic ring, the toroflux, the reversible polyhedron, and other objects. Nishihira
...more>> |
Discrete Mathematics Mathematical Reasoning and Proof with Puzzles, Patterns, and Games
9780471476023
ISBN:
0471476021
Pub Date: 2005 Publisher: John Wiley & Sons Inc
Summary: Did you know that games and puzzles have given birth to many of today's deepest mathematical subjects? Now, with Douglas Ensley and Winston Crawley's Introduction to Discrete Mathematics, you can explore mathematical writing, abstract structures, counting, discrete probability, and graph theory, through games, puzzles, patterns, magic tricks, and real-world problems. You will discover how new mathematical topics can ...be applied to everyday situations, learn how to work with proofs, and develop your problem-solving skills along the way. Online applications help improve your mathematical reasoning. Highly intriguing, interactive Flash-based applications illustrate key mathematical concepts and help you develop your ability to reason mathematically, solve problems, and work with proofs. Explore More icons in the text direct you to online activities at Improve your grade with the Student Solutions Manual. A supplementary Student Solutions Manual contains more detailed solutions to selected exercises in the text.
Ensley, Douglas E. is the author of Discrete Mathematics Mathematical Reasoning and Proof with Puzzles, Patterns, and Games, published 2005 under ISBN 9780471476023 and 0471476021. Five hundred forty seven Discrete Mathematics Mathematical Reasoning and Proof with Puzzles, Patterns, and Games textbooks are available for sale on ValoreBooks.com, one hundred twenty eight used from the cheapest price of $98.13, or buy new starting at $147.48471476023
ISBN:0471476021
Pub Date:2005 Publisher:John Wiley & Sons Inc
Valore Books is the best place for cheap Discrete Mathematics Mathematical Reasoning and Proof with Puzzles, Patterns, and Games rentals, or used and new condition books that can be mailed to you in no time. |
Real and Complex Analysis
This is an advanced text for the one- or two-semester course in analysis, taught primarily to math, science, computer science, and electrical ...Show synopsisThis is an advanced text for the one- or two-semester course in analysis, taught primarily to math, science, computer science, and electrical engineering majors at the junior, senior or graduate level, Item may show signs of shelf wear....Good. INTERNATIONAL EDITION 0070542341 Brand New International edition. 100% Same...New. 0070542341 |
Math You Can Really Use--Every Day skips mind-numbing theory and tiresome drills and gets right down to basic math that helps you do real-world stuff like figuring how much to tip, getting the best deals shopping, computing your gas mileage, and more. This is not your typical, dry math textbook. With a comfortable, easygoing approach, it:
This book is a clear and self-contained introduction to discrete mathematics. Aimed mainly at undergraduate and early graduate students of mathematics and computer science. It is written with the goal of stimulating interest in mathematics and an active, problem-solving approach to the presented material. The reader is led to an understanding of the basic principles and methods of actually doing mathematics (and having fun at that). Being more narrowly focused than many discrete mathematics textbooks and treating selected topics in an unusual depth and from several points of view, the book reflects the conviction of the authors, active and internationally renowned mathematicians, that the most important gain from studying mathematics is the cultivation of clear and logical thinking and habits useful for attacking new problems.
Discrete Mathematics Using a Computer offers a new, "hands-on" approach to teaching Discrete Mathematics. Using software that is freely available on Mac, PC and Unix platforms, the functional language Haskell allows students to experiment with mathematical notations and concepts -- a practical approach that provides students with instant feedback and allows lecturers to monitor progress easily. This second edition of the successful textbook contains significant additional material on the applications of formal methods to practical programming problems
The salient features of this book include: strong coverage of key topics involving recurrence relation, combinatorics, Boolean algebra, graph theory and fuzzy set theory. Algorithms and examples integrated throughout the book to bring clarity to the fundamental concepts. Each concept and definition is followed by thoughtful examples. There is user-friendly and accessible presentation to make learning more interesting as much as possible without compromising mathematical rigour. |
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). |
Gretchen Syhre - MAT102 Intermediate Algebra
Course Description
This course will prepare the student for College Algebra and College Trigonometry or equivalent courses. Topics in this course include properties of real numbers, linear and quadratic equations, inequalities, systems of equations, graphs of functions, polynomial and rational expressions, exponents, radicals, and complex numbers. Functions and use of the graphing calculator are introduced.
Faculty Directory
Disclaimer
This is the Faculty Directory page of the Hawkeye Community College faculty member named at the top of the page.
Faculty Directory pages are those of the authors and do not in any way constitute official Hawkeye Community College content.
Authors of these pages are responsible for obeying all relevant laws and College policies.
Views expressed on these pages and any pages linked to are strictly those of the page authors. |
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Matrix Inverse Calculator
Nice interactive matrix inverse calculator. User enters elementary row operations and views their effect. All the steps are recorded by the applet and displayed for the user to review. The applet generates new matrices to invert at the push of a button. The operations use only rational numbers. The user cannot enter a matrix to invert. |
ideal for junior-, senior-, and graduate-level courses in computer graphics and computer-aided design taught in departments of mechanical and aeronautical engineering and computer science. It presents in a unified manner an introduction to the mathematical theory underlying computer graphic applications. It covers topics of keen interest to students in engineering and computer science: transformations, projections, 2-D and 3-D curve definition schemes, and surface definitions. It also includes techniques, such as B-splines, which are incorporated as part of the software in advanced engineering workstations. A basic knowledge of vector and matrix algebra and calculus is required. |
Daly City Prealgebra new language and yet based on our arithmetic. Algebra simply uses an "x" instead of a number. Algebra 2 is the time in the development of our curriculum that takes the basic skills and puts them into context. |
Plane Geometry
Description
This traditional text acquaints your student with the fundamental tools of geometry in an engaging way. Students learn the necessity of a formal proof before plunging into demonstrative geometry, with many complete example proofs to develop the thinking process. Through a well-written text and abundant exercises, your student will learn to think logically and systematically. The many "extras" include the mathematical information on several famous buildings, biographies of great mathematicians, and geometry in the world around us. Designed to be used in grade 11 and is 332 pages. |
This collection of free worksheets provides practice in a variety of algebra topics, generating ten problems at a time for users to solve. Each worksheet is printable and comes with an answer key.
To... More: lessons, discussions, ratings, reviews,...
Students find the optimal price for an insurance company premium in this game by interpreting data and applying their understanding of linear and quadratic models. [Access requires setting up a (free)... More: lessons, discussions, ratings, reviews,...
Students explore the relationship between equations and their graphs in this hands-on learning environment where they investigate, manipulate, and understand linear, quadratic and other graphs. They ... More: lessons, discussions, ratings, reviews,...
This App provides a way for students to study and learn how to identify the coefficients of a function from a graph. Students can choose linear functions, quadratic functions, and absolute value funct... More: lessons, discussions, ratings, reviews,...
This is an application for cellular mobile phones. Solving with Solve2Go one has to specify two functions' expressions by choosing each of expression from a list of given parametric functions' expr... More: lessons, discussions, ratings, reviews,...
Tutorial fee-based software for PCs that must be downloaded to the user's computer. It covers topics from pre-algebra through pre-calculus, including trigonometry and some statistics. The software posLots of real-world data, with descriptions of environmental and mathematical implications; stored in a variety of formats for easy download. Catalogued by mathematical topic and by environmental topi... More: lessons, discussions, ratings, reviews,...
An interactive applet that allows the user to graphically explore the properties of a quadratic equation. Specifically,
it is designed to foster an intuitive understanding of the effects of cha |
Multivariable Calculus - 4th edition
Summary: CALCULUS 4/e 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 work well for ...show morethose departments who are looking for a calculus book that offers a middle ground for their calculus instructors.
CALCULUS 4/e 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. ...show less
Functions of Several Variables A Fundamental Tool: Vectors Differentiating Functions of Many Variables Optimization: Local and Global Extrema Integrating Functions of Many Variables Parameterized Curves and Vector Fields Line Integrals Flux Integrals Calculus of Vector Fields |
Book DescriptionEditorial Reviews
About the Author
Barnett Rich holds a PH.D. from Columbia University. Among his many achievements are the 6 degrees that he earned and the 23 books that he wrote, among them Schaum's Outlines of Elementary Algebra, Modern Elementary Algebra, and Review of Elementary Algebra.
The thing I like about the Schaum's series is that they don't try to be your friend. If you're going to try to sit down to learn something intricate like geometry, you've got some serious work to do, and the sooner you get to it the better. To this end, there are no pictures in the book (other than geometric diagrams, of course), no blurbs on famous geometers or famous applications of geometry. No, this sucker's as dry as a bone.
But that's good. This is a book for motivated, adult learners. You've got your explanations, your worked examples, and then tons of exercises with answers to all of them in the back of the book - not just the odd. The thing I like about this book, now in its fourth edition (white cover), is that it takes an example-exercise approach to geometry, rather than forcing you to memorize postulates.
Even if your teacher is the most entertaining guy in the world, you're still going to have a lot of tedious work to do if you plan on mastering geometry. The way this book is laid out is an accurate reflection of that.
They say that many of these Schaum's outlines, while they might be helpful supplementary material for a course, do not go deep enough to replace the course itself. I would disagree if that charge were leveled against this one: Schaum's Geometry easily provides everything you'd get in a high school geometry course and more.
The only criticism of this book that I can muster is the following: of all the major branches of math, geometry is one you kinda need a live teacher for. For this reason, the Schaum's approach -- in parts -- is unsatisfying. The whole Schaum m.o. of humorless exercises, dry explanations, no pictures, etc. can work very well for algebra, calculus, trig, etc.
But geometry is a different beast. In particular I'm thinking of proofs. Since the Greeks, teachers have laid out postulates for their students, then given them a statement and asked them to prove it. This supernal art is really why I love geometry so much: it's like practice in thinking, and it's why I recommend it to people who want to improve the caliber of their minds even if you don't need math for anything. To quote Greg Mankiw, "Math is good training for the mind. It makes you a more rigorous thinker. . . . Your math courses are one long IQ test. [Colleges and companies] use math courses to figure out who is really smart." To which I add that math -- viewed this way -- properly begins with geometry.
Of course, Schaum's does ask you to do proofs. The problem is, it should not be the student himself who judges if the steps of his proof were fully articulated or not: for that, you need a real live human. If, alone in your garret, you write "Segment AB is congruent to CD" for one step of the proof, but then find that the answer key has it "Segment AB is congruent to CD by the definition of congruent segments," do you give yourself the point?
In other words, being an autodidact might be okay in other math areas, but the whole power of geometry hinges largely, I submit, on some unpleasant Other forcing you to articulate a proof without getting sloppy.
But I don't see how there's much that Schaum's can do about that. Still a fantastic text.
NOTE: The first two chapters of this workhorse used to be a review of basic algebra, but not anymore as of the 4th edition. This was unfortunate. Why did they delete them? Schaum's owns the material: what was the harm in letting them stay in? These chapters have been replaced by a one-page "warning" enumerating all the algebra you will probably need to negotiate this book. But here's the problem: if you don't feel comfortable with some of it, you are referred to Schaum's Outline of College Algebra. The problem with THAT is that the latter book more or less circularly assumes you're familiar with basic geometry, the point of this book! So Dr. Thomas, if you're still at the reins, please put those two chapters back if you put out a 5th edition.Read more ›
This book condenses out the fluff from a typical textbook, and details solution methods for almost every conceivable problem. The price is a STEAL compared to hundred-dollar textbooks. If you are struggling, or if you want a great book to use before that big test, you have to get this book. I'm getting all A's on my Geometry tests now, and their concise explanations helped solidify new concepts.
This book is really helpful and explains things clearly but you should be warned it has a lot of typos in the problems (at least a couple per chapter). If you get this book and find yourself struggling with one of the problems, you should be aware that it is quite possible the book is wrong and not you. |
CRC Concise Encyclopedia of Mathematics is a compendium of mathematical definitions, formulas, figures, tabulations, and references. Its informal style makes it accessible to a broad spectrum of readers with a diverse range of mathematical backgrounds and interests. This fascinating, useful book draws connections to other areas of mathematics and science and demonstrates its actual implementation - providing a highly readable, distinctive text diverging from the all-too-frequent specialized jargon and dry, formal exposition.Through its thousands of explicit examples, formulas, and derivations, The CRC Concise Encyclopedia of Mathematics gives the reader a flavor of the subject without getting lost in minutiae - stimulating his or her thirst for additional information and exploration.This book serves as handbook, dictionary, and encyclopedia - extensively cross-linked and cross-referenced, not only to other related entries, but also to resources on the Internet. Standard mathematical references, combined with a few popular ones, are also given at the end of most entries, providing a resource for more reading and exploration. |
Synopses & Reviews
Publisher Comments:
Make It Your Business to Learn Business Math. Here's the fast and easy way!
Keep your business running in tip-top shape with a firm grasp of the business math required for day-to-day transactions. Whether you need to calculate sales tax or keep records of inventory, experienced math instructor Allan G. Bluman provides a painless and effective approach to mastering the mathematical skills necessary for today's business world.
With Business Math Demystified, you master the subject one simple step at a time — at your own speed. This unique self-teaching guide offers a quiz at the end of each chapter to pinpoint weaknesses and a 75-question final exam to reinforce the entire book.
Become a savvy business owner or manager with Business Math Demystified:
Follow the standard curriculum of business math courses
Easily master basic business mathematics concepts
Supplement your college studies with this self-study guide and decipher complex terms in an easy-to-read format
Learn how to calculate the markup, sales tax, and discount on items sold
Get through lengthy computations with the sections on using a scientific calculator
Synopsis:
About the Author
Allan G. Bluman taught mathematics and statistics in high school, college, and graduate school for 39 years. He received his Ed.D. from the University of Pittsburgh and has written three mathematics textbooks published by McGraw-Hill, as well as the hugely popular Pre-Algebra Demystified, Probability Demystified, and Math Word Problems Demystified. Dr. Bluman is the recipient of an "Apple for the Teacher" award for bringing excellence to the learning environment and the "Most Successful Revision of a Textbook" award from McGraw-Hill. His biographical record appears in Who's Who in American Education, 5th |
0070417334
9780070417335
Schaum's Outline of Beginning Calculus:This easy-to-understand calculus study aid may be useful for those who are new to the subject. It offers a well-illustrated, step-by-step introduction that moves along at an easy-to-keep-up-with pace. Use it with your textbook or for independent study to improve your comprehension and boost your grades. It features 226 solved and 513 skill-building supplementary problems. This will make up the calculus segments of one-semester liberal arts courses and the various one-semester Calculus courses for business or life sciences. This book should also address weaker students in general freshman calculus and high school advanced placement courses. |
9780534419417
ISBN:
0534419410
Edition: 4 Pub Date: 2006 Publisher: Thomson Learning
Summary: The Fourth Edition of Yoshiwara and Yoshiwara's MODELING, FUNCTIONS, AND GRAPHS: ALGEBRA FOR COLLEGE STUDENTS includes content found in a typical algebra course, along with introductions to curve-fitting and display of data. Yoshiwara and Yoshiwara focus on three core themes throughout their textbook: Modeling, Functions, and Graphs. In their work of modeling and functions, the authors utilize the Rule of Four, which... is that all problems should be considered using algebraic, numerical, graphical, and verbal methods. The authors motivate students to acquire the skills and techniques of algebra by placing them in the context of simple applications that use real-life data.
Yoshiwara, Katherine is the author of Modeling, Functions, And Graphs Algebra for College Students (With Printed Access Card Ilrn Tutorial Student), published 2006 under ISBN 9780534419417 and 0534419410. Seven hundred ninety nine Modeling, Functions, And Graphs Algebra for College Students (With Printed Access Card Ilrn Tutorial Student) textbooks are available for sale on ValoreBooks.com, two hundred forty five used from the cheapest price of $5.69, or buy new starting at $55344194100534419410 Thompson; Belmont, 2007. Hardcover. Fourth edition. New and in-stock. We pack securely and ship daily w/delivery confirmation on every book. The picture on the lis [more]
0534419410 Thompson; Belmont, 2007. Hardcover. Fourth edition. New and in-stock. We pack securely and ship daily w/delivery confirmation on every book. The picture on the listing page is of the actual book for sale. Additional Scan(s) are available for any item, please inquire4419417
ISBN:0534419410
Edition:4th
Pub Date:2006 Publisher:Thomson Learning
is the college student's top choice for cheap Modeling, Functions, And Graphs Algebra for College Students (With Printed Access Card Ilrn Tutorial Student) rentals, or used and new copies that can get to you quickly. |
over a hundred years, the theory of water waves has been a source of intriguing and often difficult mathematical problems. Virtually every classical mathematical technique appears somewhere within its confines. Beginning with the introduction of the appropriate equations of fluid mechanics, the opening chapters of this text consider the classical problems in linear and nonlinear water-wave theory. This sets the stage for a study of more modern aspects, problems that give rise to soliton-type equations. The book closes with an introduction to the effects of viscosity. All the mathematical developments are presented in the most straightforward manner, with worked examples and simple cases carefully explained. Exercises, further reading, and historical notes on some of the important characters in the field round off the book and make this an ideal text for a beginning graduate course on water waves.
Editorial Reviews
Review
"...reasonably priced, and it is one of the best books available on the subject. With suitable supplements by the instructor, it could serve as a very readable text for an interesting course on the modern theory of water waves." Mathematical Reviews
Book Description
The theory of water waves has been a source of intriguing and oftendifficult mathematical problems for at least 150 years. This text briefly discusses fluid mechanics. It then considers the classical problems in linear and non-linear water-wave theory, as well as more modern aspects -- problems that give rise to soliton-type equations. Lastly it examines the effects of viscosity. All the mathematical developments are presented in a straightforward manner. Exercises, further reading, and historical notes make this an ideal text for graduate students.
This book is suitable for understanding the fundamental theory of shallow water waves. The presentation is easy to follow. It helps me with my research in fluid dynamics since it provides interesting topics in shallow water waves. I like this book. |
Taught by Professor Edward Burger, this lesson was selected from a broader, comprehensive course, College Algebra. This course and others are available from Thinkwell, Inc. The full course can be found at The full course covers equations and inequalities, relations and functions, polynomial and rational functions, exponential and logarithmic functions, systems of equations, conic sections and a variety of other AP algebra, advanced algebra and Algebra II topics.
Edward Burger, Professor of Mathematics at Williams College, earned his Ph.D. at the University of Texas at Austin, having graduated summa cum laude with distinction in mathematics from Connecticut College.
He has also taught at UT-Austin and the University of Colorado at Boulder, and he served as a fellow at the University of Waterloo in Canada and at Macquarie University in Australia. Prof. Burger has won many awards, including the 2001 Haimo Award for Distinguished Teaching of Mathematics, the 2004 Chauvenet Prize, and the 2006 Lester R. Ford Award, all from the Mathematical Association of America. In 2006, Reader's Digest named him in the "100 Best of America".
Prof. Burger is the author of over 50 articles, videos, and books, including the trade book, Coincidences, Chaos, and All That Math Jazz: Making Light of Weighty Ideas and of the textbook The Heart of Mathematics: An Invitation to Effective Thinking. He also speaks frequently to professional and public audiences, referees professional journals, and publishes articles in leading math journals, including The Journal of Number Theory and American Mathematical Monthly. His areas of specialty include number theory, Diophantine approximation, p-adic analysis, the geometry of numbers, and the theory of continued fractions.
Prof. Burger's unique sense of humor and his teaching expertise combine to make him the ideal presenter of Thinkwell's entertaining and informative video lectures.
About this Author
Founded in 1997, Thinkwell has succeeded in creating "next-generation" textbooks that help students learn and teachers teach. Capitalizing on the power of new technology, Thinkwell products prepare students more effectively for their coursework than any printed textbook can. Thinkwell has assembled a group of talented industry professionals who have shaped the company into the leading provider of technology-based textbooks. For more information about Thinkwell, please visit or visit Thinkwell's Video Lesson Store at
Recent Reviews
This lesson has not been reviewed.
This lesson has not been reviewed.
Now, you may remember the discriminate of a quadratic. Let me remind you what that is really fast. If you have a quadratic, let's say, f(x) = ax^2 + bx + c, then the discriminate, well, that's the thing that would be under the square root if you use the quadratic equation to solve that equals zero. And remember the quadratic equation says if you set that equal to zero and solve, then the solution is x = -b the square root of b^2 - 4ac all divided by 2a. That's how you find the two roots if that equals zero. So that's actually finding you the x intercept for this parabola, because you set that equal to zero and solve.
But remember, when will there be two real roots? Well, think about it. There will be two real roots when you have ± the square root and that square root is, in fact, positive. So when the thing inside the square root--remember, that's b^2 - 4ac--when that's positive then we know we're going to have two real roots. If that equals zero, then I'm going to have, in the formula, -b ± 0. Well, that means there's only one real root because I have ± 0. So if this number were to be 0, then I know I only have one real root, only one x intercept. And finally, if I see that this number's actually negative I can't take the square root of a negative number, so there must be no real roots, which would mean that the parabola would never cross the x-axis.
Now, you may remember this is called the discriminate, sometimes known as D or some other way. So just knowing the discriminate, in fact, just computing b^2 - 4ac, you can actually get and sketch a pretty accurate picture of what the graph of the function would look like, because all you have to do is say, okay, first of all, is it going to cross in two places, which would be where the discriminate is positive, because I'd have two real solutions. Is it going to cross just in one place, which means the parabola comes down, just raises, and then comes up. That's when the discriminate equals zero, because there's only one root. And finally, maybe it doesn't cross at all. This is when the discriminate is, in fact, negative.
So just knowing the discriminate and looking at the sign of a, seeing if it's a happy face parabola or a sad face parabola, you can actually make a rough, but a pretty reasonable sketch of what the function looks like, just looking at the discriminate.
And to really drive this home, folks, it's time for that favorite late-night game show you've been waiting for all your lives. You can't wait; every time it comes on in the middle of the week you get excited. Yes, folks, it's time for "Match Game," with your host, Ed Burger. Now, how do we play match game? Let me remind you. We show you the candidates, a > 0, and then I tell you exactly what the discriminate is, and of course, here I'm taking a look at the function f(x) = ax^2 + bx + c. So here's the discriminate and there's the a coefficient. And these are candidates for this evening's show. We have a is positive and the discriminate is positive. We have a is negative and the discriminate is negative. We have a is positive and the discriminate is zero--quite unusual. We have that a is negative and the discriminate is zero. And we have that a is negative but the discriminate is positive, and finally, ladies and gentlemen, for your viewing pleasure we have that a is positive and the discriminate is negative.
Your task, if you choose to accept it, which we hope you do, because we have some wonderful parting gifts for you in either case, is for each graph that I show you, figure out which particular scenario we're in. Let's begin.
Our first graph--your job is to figure out which of these, if any, corresponds to a graph, a parabola, that looks roughly like this. Try it now.
Okay, well let's see. I see that this is a sad face parabola, so that tells us, and the viewing audience at home, that the a coefficient, the a here, must be a negative number. So this is not in the candidacy, so we're only looking at this, this, or this. Now, what else do we know? Well, I see that it crosses the x-axis at two points. That means there are two real roots, and if there are two real roots; that means that the discriminate must be positive. So I want a to be negative and I want the discriminate to be positive. Yes, ladies and gentlemen, it's the penultimate answer right here--a is negative and the discriminate is positive. It has two real roots--the discriminate is positive--but a is negative, it's a sad face parabola. So roughly speaking, that's sort of how the graph of that would go. Neat! Congratulations to those of you who got it correctly. Let's try graph number 2. See if you can find the appropriate match.
Well, I see a happy face parabola so that means that a must be positive. The coefficient must be positive, so that takes care of this and this possibilities. But I see that the parabola comes down and just grazes this x-axis at one point and comes back up, so there's only one real root. The only way there could be one real root is if the discriminate were to be zero. So therefore the discriminate is zero, so a must be positive, so therefore I see we must have a positive, it's going up like this, happy face, but the discriminate is zero, it just grazes the x-axis. Neat, now we're moving. Let's take a look at graph number 3. See if you can make a match.
Well, I see that this is a happy face parabola, so a is positive, and I see that I have two real roots. It crosses the x-axis twice, so I must have the discriminate is positive. So I must have a is positive, discriminate is positive, that is choice number one, right here. We have a is positive, it's a happy face, the discriminate is positive, that means there will be two roots that crosses the x-axis in two different places. Neato! Okay, graph number... I think we're up to 4, but I'm not quite sure. Graph number whatever. See if you can find a match.
Okay, well, I see that a is negative because this thing is going down, it's a sad face parabola, so that means actually there's only one possibility then. Oh no, it's two possibilities. It could be either one of these two things. So let's see. Well, this just grazes the x-axis, so it only has one real root. The only way that can happen is if the thing under the square root were to be zero, so I don't have two roots, so that means the discriminate must be zero. So a is negative means it's going like this--sad face--and discriminate zero, just grazes the x-axis. Congratulations to all. And now, our penultimate one. The viewers at home have a 50/50 chance of getting this right. It's sort of a great thing about this game when you get down to the end. Can you figure out which of these two things is the appropriate answer? Good luck.
Let's see. I see that a must be negative because this is a sad face parabola, and notice it does not cross the axis at all. That means there won't be any real solutions where this thing is going to actually equal zero. That must mean that you have complex solutions, which means the square root thing underneath must be negative. So I must have a negative square root, but it's a sad face parabola, so a must be negative, so there is the answer.
And then, we will not even do this one, but let me show you the next one, the final one, is this one. Ha ha! Fooled you. You thought I was going to have a different placard. But no, no, no. In fact, this corresponds perfectly to this and you can see why. This is a happy face parabola, so a is positive, and yet it still does not cross the axis, so this number, the discriminate, must be negative. Congratulations, and whether you won a lot or won a little, remember doing math, you're always a winner. Try some of these and see how much money you can make.
Relations and Functions
Quadratic Functions - Basics
Using Discriminants to Graph Parabolas Page [1 of 2]
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This book takes users step by step through the concepts of merchandising math. It is organized so that the chapters parallel a career path in the merchandising industry. The book begins with coverage of fundamental math concepts used in merchandising and progresses through the forms and math skills needed to buy, price, and re-price merchandise. Next readers learn the basics of creating and analyzing six-month plans. The final section of the book introduces math and merchandising concepts that are typically used at the corporate level. For individuals pursuing a career in merchandising.
Written by two former instructors at The Culinary Institute of America, this revised and updated guide is an indispensable math resource for foodservice professionals everywhere. Covering topics such as calculating yield percent, determining portion costs, changing recipe yields, and converting between metric and U.S. measures, it offers a review of math basics, easy-to-follow lessons, detailed examples, and newly revised practice problems in every chapter.
For pilots looking to improve their math skills in the cockpit and easily perform math calculations in their heads, this book offers numerous tips and invaluable tricks to help in all areas of cockpit calculations. Pilots are guided through basic and more advanced formulas with explanations on how to perform them without needing paper or electronic calculators, step-by-step instructions, practice exercises, and personal advice from experienced pilots. Easy and quick methods for calculating airborne math problems, enroute descents, and visual descent points are covered. Numerous references, math memorization tables, lists of formulas, and definitions for terms and abbreviations are provided. This book will be useful for pilots gearing up for airline interviews, preparing for checkrides or proficiency checks, or wanting to improve their in-flight calculations performance.
Mathematics forms the foundation for nearly everything we do-from finance to physics, and architecture to astronomy. Math not only describes our world, but also reveals its beauty and mystery. Join Marcus du Sautoy and a host of distinguished experts as they crisscross the globe, bringing the colorful history of numbers to life.
For Merchandising Math and Buying courses offered by Junior Colleges and Vocational Schools. This book provides a practical application of the skills necessary to a merchandising career. Beginning with the fundamentals of working with numbers, it moves into the skills needed to communicate words and thoughts into calculators or computers as a means of translating business needs into clear mathematical answers.
This workbook is designed for use in a buying course with a heavy math emphasis. The book first presents merchandising concepts in a simple, understandable way and shows students how they can use computerized spreadsheets to perform related merchandising math operations. Activities then ask the students to apply what they ve learned by solving merchandising problems using spreadsheets that are included on the enclosed CD-ROM. Students will learn how the computer can help minimize the time it takes to perform repetitive calculations. By constructing and using spreadsheets for each mathematical operation, they will develop a better understanding of the merchandising concepts they re studying. This manual is designed to accompany the text Retail Buying: From Basics to Fashion, also by Richard Clodfelter.DEWALT Construction Math Quick Check: Extreme Duty Edition has identified the mathematical formulas that are most commonly used in the construction industry and simplified them using a clear, step-by-step approach. Topics include basic conversions, percentages, volume calculations, framing calculations, and more. The guide also offers more than just solid content: its durable material makes it a toolbox- and site-friendly resource, and its tabs make it easy to quickly access the information you need, when you need it |
This site presents the basics of reinforcement and punishment in a two-step tutorial that includes examples and self-quizzes....
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This site presents the basics of reinforcement and punishment in a two-step tutorial that includes examples and self-quizzes. Students must successfully demonstrate mastery of the first module to gain access to the second module.
This overview covers an introduction to simple interest and compound interest, illustrates the use of time value of money...
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This overview covers an introduction to simple interest and compound interest, illustrates the use of time value of money tables, shows a matrix approach to solving time value of money problems and introduces the concepts of intrayear compounding, annuities due, and perpetuities. A simple introduction to working time value of money problems on a financial calculator is included as well as additional resources to help understand time value of money.
This Java applet tutorial provides a series of word problems on determining confidence intervals. Each problem prompts the...
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This Java applet tutorial provides a series of word problems on determining confidence intervals. Each problem prompts the user to input the steps for determining a confidence interval for the mean. Hints are provided whenever the user enters an incorrect value. Once the steps are completed, a statement summarizing the interval obtained is displayed. The applet is supported by an explanation of the steps in creating confidence intervals.. |
That stuff used to happen to me a lot. I was good at finding the solution in my head but terrible at writing it down. I'd end up spending more time figuring out how to write it down, than actually solving the equation
The thing is, it's not necessarily the wrong formula. It's just a different one. My math teachers always gave me shit for using "wrong" formulas for my problems, yet I always got the right answer. I just thought way differently than they did. Theyexpected us to go through a stupidly complicated equation when it could be solved with a simple plus/minus solution.
no no no, the teacher means that the formula wouldn't have worked if the variables hadn't been what they were. one time in chemistry, this girl told the teacher the math she did to get the answer to the problem. it was totally wrng and shouldnt have worked, but the checked it with the problem, then a new one, and it didnt work the second time.
You can say that learning the basic of calculus is easy, but you can't say that a whole freaking field of math is, there's still a shitload of questions in this field that no one is able to answer yet.
It's usually just something like: Find out what formular(s) you need through various methods, and then proceed to apply it.
As long as you understand how all the formulars you have had in your course/semester work, then you won't have any problems, aside from mis-typing in a calculator doing long assignments.
I didn't misunderstand, and I still don't agree. If I had to just do the algebra separately, I'd be fine. It's how calculus wants me to incorporate the algebra into equations that I don't know how to do. I could compare it to physics. The math in physics is easy, but it's how you plug it in to fit the equation that is difficult.
Same goes for calculus. I can do the math easily, it's just that I'm terrible at calculus concept so I don't know where to start.
...If that makes sense.
i'm saying that i already had the discussion that of course advanced calculus is difficult, but the calculus that traelos was almost certainly referring to, that being intro level calculus, is trivial.
Calculus is easy. Understanding Calculus? That's when your balls hit the fan. To be fair (and I don't mean to brag), but I discovered basic differentiation while still learning Algebra. Didn't get very far, though.
I don't think it was an intelligence thing though. 99% of the time he would have gotten a wrong answer. The kid did it wrong but was lucky enough to get the right answer. Knowing math teachers he still probably got points off because he didn't do it the way he was supposed to.
You don't get the top marks on luck. Math teachers don't just look for right answers, they look at how you got the answer. The kid is very smart and doesn't need the book. When I entered college I had to start in a pre-algebra class because I dropped out of high school. I only opened my book to do the assigned homework, everything else I either knew, was able to figure out on my own, or the teacher explained well enough in class.
Text books are overrated and even if the kid acts like he isn't listening in class he really is. I can read a book and keep up with a professor's lecture at the same time.
One of my friends is like that.
This guy got 96% in a repeatable assessment task that counts towards the final grade. He was told that 96% would pretty much solidify him top grades even if he fucked up the exam. This guy re-did the task to get the last 4% because, and I quote, "I'm not gonna revise for the exam so I might as well get full marks in this so not revising doesn't become an issue."
i once took a society exam, where the teacher and sensor agreed on this: You said some good things, and some bad things, but in general, because you said so much in so little time, we didnt have the time to validate what you said, and so, you pass with a grade of A..it would have been a whole lot lower if we got the time to check, so clever work on that one"
i'm one of those guys, and i do essays at the last minute , printing them buy sun up, turn in with a's and b's, ima college student now, im doing fine c:, i can easily major in english and become a teacher, but i rather go into animation
I had two freinds like that. They would literally come to school with hangover or still be drunk. they one time invited me down onto a bar at 02:00 am on a tuesday.. they did nothing but fool around and still got A's in everything..
This happened to me on my physics in class final... The bitch teacher only gave me a 3/5 on the question even though I got it right.... At the end of the day I should have gotten at least a 4/5 on the question because I did it my way and not that way the systems wants you to do it...
You are probably wondering why i'm so upset over this.. well the reason was if I got over 80% on my final my parents would have bought me a car... I got 79% on the test.... The one mark would have gotten me the 80%....
Not to sound like an overall douche here, but to quote my old physics teacher; "If you get anything under a 60%, the system will consider it a failing grade. If you get anything under an 85%, I will consider it a failure. Because when it comes to engineering and the like, 15% can cost somebody their life."
actually its not of that privelage... i dont know about the rest of the world, but you can buy and acceptable car with a minimum income if you save for 5 mounths... i guess in the end its all about being open about it
If you got the correct answer it doesnt matter how you should of worked it out. Probably about 50% of questions on tests throughout school I used the "correct" formulas while the rest were pretty much my own ones in which I found quicker or easier ways to work out the answer. I always got full marks..... The teacher was even interested half the time how I worked it out.
Well yeah... Physics tests (at least in Advanced Placement Physics) give points based upon you following the correct steps to get the answer. If you forget to say conservation of momentum whilst doing a collision problem, for example, you will not get the points.
First of all, you're an asshole for not wanting to get good grades for the sake of getting good grades, and second of all, they're not gonna give you points for randomly flailing around and getting the right answer if you don't actually know what you're doing.
It was grade 12 physics... Half the kids in my class couldn't even spell physics, they should be happy I actually got the right answer because from what I remember the class average was 59%... Also my parents told me if I got over 80% on my finals they they would get me a car as a reward... I didn't need physics to go into firefighting (want I want to be) but my parents wanted me to take all the sciences and physics was the one I had the hardest time with... I believe in good grades, I worked my ass off to prove to my parents that I deserve a car and that I'm responsible..
You also probably messed up on the units (either putting the wrong ones there, or not putting any there at all), which may seem like a bunch of anal details, but when you're balls deep in energy and thermal dynamics (and basically all physics), you really need to pay attention to units. Even if it doesn't matter to you or anyone else in the class, your teacher was right for enforcing that, in the off chance some one did go into physics.
You gotta understand dude, I am a physics major, this is my shit, and even if you got the right answer, that's not good enough. It's all about how you get the right answer, because if you know the processes, then that means you understand the physics and the calculus (that shit goes even harder in calculus, where they won't give you credit if you don't show all of the work), so I'm not gonna stand by and watch some one bitch about not getting full credit when full credit wasn't deserved.
I mean, everyone knows that gravity is roughly 9.8 m/s^2, so if you can't prove that using equations, then it does not show any understanding of physics. If you know the equation but lets say you make the gravitation constant 6.67x10^11 instead of 6.67x10^-11, you'll get a very wrong answer, but at least it shows you know what you're doing and that you just made a stupid mistake that you won't make again.
I care about self-improvement and don't bitch about not getting handed points when I don't do something right. I believe in working hard because it's the right thing to do, as opposed to doing the bare minimum for a reward. So yeah, if you're gonna generalize and say that everyone is like you, then I am better than all of you, but I don't think most people are like you.
Actually, I was commenting on the fact that someone who valued their own self development over anything else wouldn't really give a shit how anyone else was doing, meaning you're being overly judgmental over something that's trivial.
I'm actually not. I was commenting on how you called him an asshole, "First of all, you're an asshole", for an incredibly trivial reason, "for not wanting to get good grades for the sake of getting good grades". Is that really the argument you're going with for the rest of whatever this is?
I had a problem in middle and high school because I'd do chunks of calculations in my head and skip steps.
I kept getting only half mark for correct answers because "You didn't show your work", yes I did, I showed all I did on the paper, how the fuck am I supposed to show what I did in my head? Vulcan mind meld?
I hated that teachers would punish for having a mind capable of computation without the need for writing. Saying that the student might be copying is a terrible excuse as well since tests would reflect their knowledge.
Showing your work is important in high-level math. You need to show work not only so others can follow, verify, and replicate your methodology (there will often be many ways to solve a problem), but because the problems get *MUCH* more complicated and you simply will not be able to solve them (or find your mistakes) if you skip chunks to do in your head. Now, what they'll allow you to do 'in your head' will increase as you go to higher-level maths, but you still need to show work.
It's not that hard. Whatever thought process you used, write it down mathematically--being able to put your mental processes onto paper *IS* an important part of mathematics. Sorry to break it to you, but in college-level math, the right answer really IS no good if you can't show how you got it, because each stage of the 'work' is often an answer to one part of the 'problem.'
You don't need to explain to me that is necessary. I don't think I would ever want to try to skip the steps to iterated integrals, let alone not write it down simply because there would be too many variables. I was referring to high school though where the math doesn't get much harder than introductory calculus. Thank you for assuming that I wasn't in college though, for whatever reason.
Because I've honestly never met a college student in high-level math who still whines about what happened in high-school math, as if having to write down all your work so the teacher knew what you were doing was *SUCH* a torturous process, 'punishing' the intelligent students...
If you notice, I spoke in past tense. I hated it then. I don't care now. I only brought it up because it was relevant to the original comment, and I was sharing my experience. Anyways, it isn't uncommon to dislike something that one finds tedious and unnecessary, which is how I felt in high school.
When you're surrounded by morons, it's hard to believe even one kid is capable of something more. Physics major... and my professors don't ask that you show yoru steps for differentiation, much less your steps for adding or multiplying numbers or basic algebra. They just want to see the correct sequence of events and proper use of formula.
4th through 12th grades are a fucking joke. I dropped out in 10th grade and immediately enrolled in college. The classes who "prep" you for college are fucking useless. Just take the college courses. Don't have the money? Sign up for community college and get loans. Sure you'll rack up a debt, but a debt you can pretty much indefinitely suspend. After you get your AA with a 3.5 or higher, go sign up for a real college, or go for your BA in a cheap local college before heading to an expensive grad school.
Fuck high school, fuck middle school and fuck 95% of the teachers who "teach" there.
No you didn't. Unless it was a shitty community college (and I mean shitty), no university will even consider you without any sort of way to prove you graduated high school, or some high school equivalent, and an SAT/ACT score.
I'm fairly sure I didn't need my GED, they had me do ACTs when I told them I dropped out, never mentioned my GED. I got the GED for myself, not really for college - though they may have had it on record and I just didn't know.
Boy, you sure are committed to this trivial point that high school is super pointless, aren't you? Everyone who's been through/graduated high school knows it's just a glorified babysitting service, but trying to prove this point that it isn't a necessary glass ceiling to break through is just stupid. Look at it like this, if it's so stupid easy, what does it say about you that you couldn't bear through it like everyone else?
Oh, I dropped out because I spent 9 years of my life in the hospital. I would have finished high school if I hadn't had been sick, but it wasn't necessary. Most everything important you learn in hs is re-taught in your first year of college, from MLAs to algebra in required courses. That's all I was saying.
Nobody in their right mind would argue against that, not even the teachers who teach High School. The point I was getting at was that you didn't drop out after the 10th grade and walk right into college.
I mean..at least here in Florida, you can get your GED pretty much whenever you want. It takes about 30-45 minutes, if you're a slow reader and I don't remember if you had to schedule it...but it's not that big of a deal to get one. Two forms of ID and proof of residence, 30 minutes of testing and voila.
I mean..if you wanted to be this nitpicky, you could say no one can just walk in to college...you have to spend close 2 weeks - a month proving you live in your state(for financial aid), you have to take a dozen tests, talk with a bunch of people.. all of those took longer & I consider a bigger deal than GED. There's a lot you have to do before you can start college, I just sorta lumped GED into that big ass list of shit to do. Sorry for the confusion.
1) A GED generally looks worse to a respectable University, which severely limits your options.
2) Again, the whole point is that a GED shows you should know everything they'd teach you in high school. It's just a cheap, quick way to show someone you know things from high school.
3) You show someone your GED, chances are they're going to ask you about it as a conversation piece.
Those people wouldn't "drop out", though. Dropping out and walking into college suggests that the college accepted you without a high school diploma, or an equivalent document. In fact, were you like that, it'd raise the question of why you didn't just get the diploma and move on.
I had a math teacher earlier this year whose class I ended up withdrawing from due to my consistent failure in her class. She would only ever give us difficult problems far above what we had already learned in class, expecting us all to solve the problem perfectly in just a short time. Needless to say, everyone still in her class has around a 60 or below.
On an unrelated note, here's a simpler way to do multiplication problems.
To be intelligent one needs a strong memory.
Intelligence comes from knowledge and time, it is not something that you just are.
Being able to store large quantities of knowledge and then apply it is intelligence.
And yes that is how people with seemingly natural intellectual abilities gain their knowledge, They learn quicker, store more and process/use said knowledge to their advantage more effectively than those who are "unintelligent"
You are right though the way schools judge intelligence is questionable, it is a flawed system that is built to cater to the "Average" person, which is why they have special schools for the advanced and potatoed.
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I believe you're mistaking "intelligence" for "education".. Education being the sum of all things you have learned, intelligence being a measure of your cognitive abilities.. Henceforth, memory is a huge part of education, not so much intelligence. I can look at something mechanical and figure out how it works, not because I remember what all the pieces do (education), but because I have the intelligence to understand it. Make sense?
Oh and wait, not exactly, you are wrong, intelligence, memory, and ability are all factors when determining intelligence. Without a strong memory you have no knowledge to apply, it can go the opposite way though which is why intelligence should never be measured by memory alone, someone could know everything and still be an idiot because they have no idea and lack the ability to use that knowledge.
.... You just said intelligence is a factor in determining intelligence. And I still maintain that memory isn't a factor (or at least not as much of a factor as you proclaim), because intelligence means you can look at something new and figure it out, without having to have been taught it in the first place..
No, no, I believe I read that right.. you said that intelligence comes from being able to store large amounts of information and then apply said info, whereas I said that that defines education. You go to school to get an education, not to gain intelligence. Consider the following.. two people go to the same school, the same classes, read the same books and do the same work.. Subject A picks up everything easily, understands the concepts and theories, progresses quickly through the material.. Subject B struggles to understand the material, gets lost easily, gets confused.. One can reasonably assume Subject A has a higher intelligence than the Subject B. Their education is the same, their level of intelligence is not.
TLR Education is remembering that a tomato is a fruit, Intelligence is not putting one in a fruit salad.
You can not learn to use knowledge, some people have the mental capacity to process more of the information than others, meaning they can use knowledge, yes you are right but you do not have to be a dick about trying to rub a point in that i agree with, why the fuck are you lecturing me all i am doing is trying to explain that we have the exact same fucking beliefs but you are being a dense mother fucker and assuming everyone is an idiot, turns out most people are pretty fucking smart, stop your shit cunt.
This can happen if you know how to derive a formula on your own. Often, the formulas we use are just the simplest way to write something--but if you figure it out on your own (remember, SOMEONE had to figure all these formulas out, and some of them weren't actually that hard to figure out) you might have a correct formula, but arranged differently and with variables labelled differently. There are also some situational formulas that aren't commonly studied, but can make work much faster as long as certain conditions will met (they will give you wrong/incomplete/nonreal/illogical answers otherwise.) I can't really tell how high-level the math is from the little piece we get here, but those are both possibilities.
Of course, the other option is he copied the answer and worked backwards with a B.S. formula in order to make his cheating less obvious.
(And worth noting, at university level, as long as you can prove you used a functional method of finding the answer, teachers don't give a fuck. And if you really cared you could even go off and dispute the validity of your methods. That kind of stuff only matters in high school / early college classes.)
...I wasn't even remotely addressing how the teachers were reacting to it, only how it can happen in the first place. The teacher's reaction is a completely separate issue, it didn't make any sense to reply to my comment with a statement about it.
Being related doesn't make something relevant. I didn't say it was meaningless--just there was no reason to reply to my comment as opposed to just commenting on the thread itself. It wasn't any more relevant to my comment than to the overall thread, or to ANY other comment on the thread.
How is me not mentioning it a 'problem'? It's not my job to mention every single possible thing that could ever be related to this topic. If you want to say something that's not relevant to *MY* post, then it makes much more sense to make your own.
>you comment talking about how you can use/think of different fomulae to solve a problem - directly referring to the different formula thing
>I point out teachers will still mark you wrong regardless
Apparently that's irrelevant.
Why is it such a big deal for you? So what if I could have also made a separate comment, it would be just as relevant that way. I figure it's more here when you're directly addressing it more than others.
Why is it such a big deal to you to directly address me, as opposed to the dozens of other comments all talking about how / why this happened? I'm not addressing it any more than many of the other comments.
At this point, it's obvious you're just out to argue (which actually answers my original question as to why you felt the need to state something so irrelevant to me) and not actually trying to do anything sensible or constructive. So, bye, have a good one.
Not bragging or anything, but I did this shit all the time in my English classes. Pretty much all of my teachers for my english courses, were dusty old cunts, who didn't like the fact that I would sit in class, and fuck around on my laptop, by either browsing FJ, writing my own stories that had nothing to do with the assignment, or by playing pokemon or some shit. There was a day of reckoning though, for each one of them, when mid term finals came around, and we had our first big assignment. It was usually just writing a paper on some bullshit, or a story. And on the weeks leading up to having to turn in the assignment, I would pull my same old routine, and they would sigh or smile, because they thought I was just a flunkie, because they thought they saw it all. Come to turning in the assignment, I'm the first one to do so, and on the completion date for the paper, it's listed as one week after the paper was assigned.
Shit always cracked me up because I usually scored within the top 20% of the class. And I did this for other classes too. Wouldn't do homework during class, fucked around, turned the assignments in, and aced the test.
Of course, when I came home, it took me just over an hour and a half to finish my homework, but they didn't know that, nor did my councilor when he called me into his office, and had a discussion with me.
Ah high school, you bring back memories... I fucking pray to the god damn snow demons that, that place burns in the hottest flames of hell.
All these people in the comments complaining about how "one time in school i got the correct answer even though i had no clue what i was doing." There is a reason you do things the right way because it has been vetted and proven to work. Just because you got lucky on one problem does not indicate you have any idea how to do it again with a similar concept.
In Engineering everyone does it one way. If one person goes off on a tangent and is wrong or the other engineers on his team cannot understand his method people will die. Guess who is getting charges filed against them the 20 engineers who followed their proper procedure or the one engineer who tried to cut corners and winged it.
In college engineering the correct answer is often the least valued part of the question even correct units are more important, because a math error can easily be fixed in the review process where a procedural error will require a entire rework of the problem.
This kind of shit used to annoy me in school, i would never write down how i solved an answer because i would not need to, then when i did and the teacher would never understand how i could solve the problems faster than they could with a formula that was somewhat retarded Quick example for simple multiplications, 18x10 = 180 + 4x10=40 + 4x4=12 = 252, which i can work out pretty much instantly in my head, if i were to write out a simple formula for solving that it would take me minutes and for fucked reasons my brain does not send the right signals to my hands and wrong things are written down. which always ended in me being a liar and having to re-do all the sums using the formula provided and fail miserably at it. Yes the autism is strong in this one i have Aspergers, turns out my teachers were just douches back in school for not clicking on that maybe i was short bus special.
And in the real life if you were on a team solving a problem and you wrote down your answer and handed in your work with no indication how you arrived their your team leader would send you back and tell you to do it again because in most STEM professions it does not matter how fast you get the answer, but that your answer is correct, can be understood by your team, can be understood by those implementing your answer, and follows vetted and accepted principles. If something goes wrong in the Real World I got the right answer is not a acceptable excuse in a negligence law suit.
If i were doing team work and that were outlined, i would accept those terms, but i am not, do not and was not doing team work that needed to be understood by all.
Stop trying to give excuses for faulty teaching methods.
The problem here is the teacher thinks their method is the only method possible for getting that answer because 95% of people have to work it that way.
I had a teacher that spent a couple of hours on trying to figure out how I did things, because I never wrote process down, only sporadic notes, some of which she couldn't see how in the hell they were generated, nor could she stand that I would rewrite the question in three different ways and answer them all because she would use impossible shapes. |
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This applet is used to calculate the solution set to a linear system of equations. Type in the number of equations (this...
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This applet is used to calculate the solution set to a linear system of equations. Type in the number of equations (this should be thesame as the number of unknowns) and then press "Enter Equations.״A window should pop up with blank text fields where you may enter the coefficients for each variable in the system of equations.The column on the right is for adding the solution values for each of the equations. This table should contain the same values as thecoefficient matrix. After you have filled out each of the text fields, press "done.״Finally, a new window will pop up providing that all of the fields had values entered. This window will contain the values of eachof the unkonwns that the computer solved for.
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QuickMath is an automated service for answering common math problems over the internet. Think of it as an online calculator that solves equations and does all sorts of algebra and calculus problems - instantly and automatically! When you submit a question to QuickMath, it is processed by Mathematica, the largest and most powerful computer algebra package available today. The answer is then sent back to you and displayed right there on your browser, usually within a couple of seconds. Best of all, QuickMath is 100% free!
Romeo lists the status of publisher copyright policies and author-archiving policies of academic journals, indicating, by...
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Romeo lists the status of publisher copyright policies and author-archiving policies of academic journals, indicating, by color shceme, which publishers allow authors to archive preprints and/or post-prints. Journals are classified by color as green,blue,yellow, and white levels. For more information on indexes for determining publisher open access status go to " target=״_blank״
Here is Zona Land's graphics calculator, EZ Graph. With it you should be able to graph almost any polynomial, rational,...
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Here is Zona Land's graphics calculator, EZ Graph. With it you should be able to graph almost any polynomial, rational, exponential, logarithmic, or trigonometric function. It will allow you to enter variables into your function definition so that you can see the effect of changing coefficients easily.
Algebra and Geometry shape and graph maker. Multi-use.Description by developer:GeoGebra is dynamic mathematics software for...
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Algebra and Geometry shape and graph maker. Multi-use.Description by developer:GeoGebra is dynamic mathematics software for all levels of education that joins arithmetic, geometry, algebra and calculus. It offers multiple representations of objects in its graphics, algebra, and spreadsheet views that are all dynamically linked. |
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Based on the authors' combined 35 years of experience in teaching, A Basic Course in Real Analysis introduces students to the aspects of real analysis in a friendly way. The authors offer insights into the way a typical mathematician works observing patterns, conducting experiments by means of …
Improper Riemann Integrals is the first book to collect classical and modern material on the subject for undergraduate students. The book gives students the prerequisites and tools to understand the convergence, principal value, and evaluation of the improper/generalized Riemann integral. It also … …
Bridging the gap between procedural mathematics that emphasizes calculations and conceptual mathematics that focuses on ideas, Mathematics: A Minimal Introduction presents an undergraduate-level introduction to pure mathematics and basic concepts of logic. The author builds logic and mathematics …
Suitable for a one- or two-semester course, Advanced Calculus: Theory and Practice expands on the material covered in elementary calculus and presents this material in a rigorous manner. The text improves students' problem-solving and proof-writing skills, familiarizes them with the historical …
This book introduces the study of algebra induced by combinatorial objects called directed graphs. These graphs are used as tools in the analysis of graph-theoretic problems and in the characterization and solution of analytic problems. The book presents recent research in operator algebra theory …
A Readable yet Rigorous Approach to an Essential Part of Mathematical ThinkingBack by popular demand, Real Analysis and Foundations, Third Edition bridges the gap between classic theoretical texts and less rigorous ones, providing a smooth transition from logic and proofs to real analysis. Along …
Partial Differential Equations: Topics in Fourier Analysis explains how to use the Fourier transform and heuristic methods to obtain significant insight into the solutions of standard PDE models. It shows how this powerful approach is valuable in getting plausible answers that can then be justified |
Guide is a friendly introduction to plane algebraic curves. It emphasizes geometry and intuition, and the presentation is kept concrete. You'll find an abundance of pictures and examples to help develop your intuition about the subject, which is so basic to understanding and asking fruitful questions. Highlights of the elementary theory are covered, which for some could be an end in itself, and for others an invitation to investigate further. Proofs, when given, are mostly sketched, some in more detail, but typically with less. References to texts that provide further discussion are often included.
Computer algebra software has made getting around in algebraic geometry much easier. Algebraic curves and geometry are now being applied to areas such as cryptography, complexity and coding theory, robotics, biological networks, and coupled dynamical systems. Algebraic curves were used in Andrew Wiles' proof of Fermat's Last Theorem, and to understand string theory, you need to know some algebraic geometry. There are other areas on the horizon for which the concepts and tools of algebraic curves and geometry hold tantalizing promise. This introduction to algebraic curves will be appropriate for a wide segment of scientists and engineers wanting an entrance to this burgeoning subject.
{"currencyCode":"USD","itemData":[{"priceBreaksMAP":null,"buyingPrice":47.45,"ASIN":"0883853531","isPreorder":0},{"priceBreaksMAP":null,"buyingPrice":47.45,"ASIN":"0883853515","isPreorder":0},{"priceBreaksMAP":null,"buyingPrice":47.45,"ASIN":"0883853558","isPreorder":0}],"shippingId":"0883853531::92mg8E9ycQEgVczC8ja8jxa%2F89k%2FBKomCC%2BEV0rptniPYXmC%2FgVHokTcBvM6IdgkMOvkLqgX%2B4N1aHNKqO5mKx9UelV5q2DfNxo5BUBhbt10l4MtV%2FuKnA%3D%3D,0883853515::kF7otn%2B9x6QnEO8LdXyPiGQbSXsqy5TIFrQ69agTy9tQWlCENw7fRZcuPRSgc5vF8%2FZI%2Fm4qNQ3NnA5Pa%2FYdrctBNmy8HI8%2B%2F5c%2FsczGM373swWQd%2BDgPQ%3D%3D,0883853558::fcm72k%2FTFRAO%2BSDjh5NnQnVvERWGmfjPfUUveXVsOnTitpiCLJ8zKgG8B4mbrdso%2BvfvzVEK%2BN26BT4GNSmna08B5jCZg%2BjbGmwmP%2FuN%2BYPG4HPzhvlHLAlgebraic curves have regained a prominent position in mathematics. In light of their importance, the goal of this book is to provide a reasonable understanding of algebraic curves and their use. Beginning with standard curves (polynomial, parametric, conic, and user defined), Kendig expands the study by first shrinking the plane to a disk by adjoining points at infinity, and then shifting the domain from real to complex numbers to establish Bezout's theorem. Given this context, the study shifts further to determining the topological properties of algebraic curves, relating genus to a polynomial's degree, investigating singularities, and using compact Riemann surfaces. Throughout, the author emphasizes the geometry and intuitive aspects of algebraic curves, without delving into a tedious chain of proofs. He briefly considers applications of algebraic curves, ranging from Andrew Wiles's special use of elliptic curves in his proof of Fermat's last theorem to their use in cryptography, dynamical systems, and robotics. Readers should be familiar with basic ideas from geometric topology, complex analysis, and abstract algebra. Since Kendig developed the content as a guide rather than a textbook, no problem sets are included, but the author does suggest appropriate textbooks in a bibliography. --J. Johnson, CHOICE Magazine
This book is a straightforward and simple introduction to plane algebraic curves and would be of interest to anyone wanting a good overview of the subject. The material could also serve as a useful supplement for students taking an introductory course on algebraic curves or for mathematicians who would like to learn about the subject. Even though the book is written as a guide, readers will need some basic understanding of complex analysis, field theory, and topology to comprehend the subject matter completely.
The book is informal in its approach and focuses on building intuition through a variety of pictures and clarifying examples without becoming mired in detailed proofs and exercises. Chapter 1 explores algebraic curves in the real plane; in subsequent chapters, the canvas expands to include the complex numbers. The book's final chapters focus more on the geometric properties of algebraic curves and conclude with a foray into the topic of Riemann surfaces.
A Guide to Plane Algebraic Curves is an accessible and well-written book that anyone with an interest in this beautiful subject will surely appreciate and find useful. --Marc Michael, Mathematics Teacher
Book Description
An accessible introduction to the plane algebraic curves that also serves as a natural entry point to algebraic geometry. This book can be used for an undergraduate course, or as a companion to algebraic geometry at graduate level. |
premiere text for the emerging Quantitative Reasoning/Quantitative Literacy Course offers an innovative approach for Liberal Arts/Survey Math. It provides a legitimate alternative to algebra and math appreciation courses for non-quantitative majors, helping to reduce math anxiety, emphasizing practicality, and focusing on the use of mathematics in college, career and life. |
Text is Great, Tapes are not
Date:June 23, 2014
Mom Who Reads A lot
Age:45-54
Gender:female
I have nothing against Saxon Algebra 2, its the teaching tapes that come with the textbook. They are incomplete. The teacher on the DVD covers the lesson content and how to solve (step by step) the example and practice problems. However, the problem sets are not covered at all. This is difficult because the answer key does not give step-by-step instructions on how to solve the problems, it only gives the answer. We found that the Saxon Teacher products does review all of the example, practice and problem sets along with giving a brief overview of the lesson. It's more complete and less expensive than the teaching tapes. So, I'd pass on the more expensive teaching tapes and get the Saxon Teacher DVDs instead. They are a terrific resource. |
Synopses & Reviews
Publisher Comments:
Get ready to master the principles and operations of algebra! Master Math: Algebra is a comprehensive reference guide that explains and clarifies algebraic principles in a simple, easy-to-follow style and format. Beginning with the most basic fundamental topics and progressing through to the more advanced topics that will help prepare you for pre-calculus and calculus, the book helps clarify algebra using step-by-step procedures and solutions, along with examples and applications Algebra will help you master everything from simple algebraic equations to polynomials and graphing |
Math 570, Combinatorics
Combinatorics is a subject of increasing importance, owing to its links with
other parts of pure and applied mathematics, as well as computer science.
Combinatorics studies discrete structures arising both is abstract areas
such as group theory and geometry, and applied areas such as optimization,
networks, and statistics. Due to the advent of computers, which are ideally
suited to manipulating discrete structures, combinatorics has become one of
the fastest growing areas of mathematics. This course is a broad introduction
to combinatorics, with emphasis on both theory and applications. Far from
being exhaustive, the list below contains some of the most important topics
in combinatorics.
There are no specific prerequisites for this course, but prior experience with
abstraction and proofs is helpful. Furthermore, the successful completion of a
calculus course and an elementary algebra course (linear algebra, groups) is
also helpful. |
9780030620645
ISBN:
0030620643
Edition: 5 Publisher: Saunders College Publishing
Summary: This classic best-seller by a well-known author introduces mathematics history to math and math education majors. Suggested essay topics and problem studies challenge students. CULTURAL CONNECTIONS sections explain the time and culture in which mathematics developed and evolved. Portraits of mathematicians and material on women in mathematics are of special interest.
Eves, Howard W. is the author of Introduc...tion to the History of Mathematics - Howard Whitley Eves - Hardcover - 5th ed, published under ISBN 9780030620645 and 0030620643. Twenty five Introduction to the History of Mathematics - Howard Whitley Eves - Hardcover - 5th ed textbooks are available for sale on ValoreBooks.com, twenty used from the cheapest price of $1.23, or buy new starting at $185.5830620645
ISBN:0030620643
Edition:5th
Publisher:Saunders College Publishing
ValoreBooks.com has some of the lowest prices for cheap Introduction to the History of Mathematics - Howard Whitley Eves - Hardcover - 5th ed rentals, or used and new condition books that can be mailed to you in no time. |
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