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Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
|---|---|---|---|---|---|
Searching... | 30000004586958 | QA152.3 B43 2005 | Open Access Book | Book | Searching... |
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Summary
Summary
The BPB team has created a book where the use of the graphing calculator is optional but visualizing the mathematics is not. By creating algebraic visual side-by-sides to solve various problems in the examples, the authors show students the relationship of the algebraic solution with the visual, often graphical, solution. In addition to helping students visualize the math with side-by-sides, the authors focus on helping students make the connection between x-intercepts, zeros, and solutions, both visually and algebraically.
Author Notes
Judy Beecher has an undergraduate degree in mathematics fromIndiana University and a graduate degree in mathematics fromPurdue University. She has taught at both the high school andcollege levels with many years of developmental math and precalculusteaching experience at Indiana University Purdue University Indianapolis. Inaddition to her career in textbook publishing,she spends time reading, traveling, attending the theater, and promotingcharity projects for a children's camp.
Judy Penna received her undergraduate degree from Kansas State University in mathematics and her graduate degree from the University of Illinois in mathematics. Since then, she has taught at Indiana University Purdue University Indianapolis and at Butler University, and continues to focus on writing quality textbooks for undergraduates students taking mathematics. In her free time she likes to travel, read, knit and spend time throughout the U.S. with her children.
Marvin Bittinger For over thirty years Professor Marvin L. Bittinger has been teaching math at the university level. Since 1968 he has been employed as a professor of mathematics education at Indiana University - Purdue University at Indianapolis. Professor Bittinger has authored 159 publications on topics ranging from Basic Mathematics to Algebra and Trigonometry to Brief Calculus. He received his BA in Mathematics from Manchester College in 1963 and his PhD in Mathematics Education from Purdue University in 1968. Special honors include being Distinguished Visiting Professor at the United States Air Force Academy and being elected to the Manchester College Board of Trustees from 1992 to 1999. His hobbies include hiking, baseball, golf, and bowling and he enjoys membership in the Professional Bowler's Association and the Society for the Advancement of Baseball Research.
Professor Bittinger has also had the privilege of speaking at a recent mathematics convention giving a lecture entitled, Baseball and Mathematics. In addition, he also has an interest in philosophy and theology, in particular, apologetics. Professor Bittinger currently lives in Carmel, Indiana with his wife Elaine. He has two grown and married sons, Lowell and Chris, and three grandchildren.
Table of Contents
| R. Basic Concepts of Algebra |
| The Real-Number System |
| Integer Exponents, Scientific Notation, and Order of Operations |
| Addition, Subtraction, and Multiplication of Polynomials |
| Factoring |
| Rational Expressions |
| Radical Notation and Rational Exponents |
| 1 Graphs, Functions, and Models |
| Introduction to Graphing |
| Functions and Graphs |
| Linear Functions, Slope, and Applications |
| Equations of Lines and Modeling |
| More on Functions |
| Symmetry and Transformations |
| 2 Functions, Equations, and Inequalities |
| Linear Equations, Functions, and Models |
| The Complex Numbers |
| Quadratic Equations, Functions, and Models |
| Analyzing Graphs of Quadratic Equations |
| More Equation Solving |
| Solving Linear Inequalities |
| 3 Polynomial and Rational Functions |
| Polynomial Functions and Models |
| Polynomial Division; The Remainder and Factor Theorems |
| Theorems about Zeros of Polynomial Functions |
| Rational Functions |
| Polynomial and Rational Inequalities |
| Variation and Applications |
| 4 Exponential and Logarithmic Functions |
| Composite and Inverse Functions |
| Exponential Functions and Graphs |
| Logarithmic Functions and Graphs |
| Properties of Logarithmic Functions |
| Solving Exponential and Logarithmic Equations |
| Applications and Models: Growth and Decay |
| 5 Systems of Equations and Matrices |
| Systems of Equations in Two Variables |
| Systems of Equations in Three Variables |
| Matrices and Systems of Equations |
| Matrix Operations |
| Inverses of Matrices |
| Determinants and Cramer's Rule |
| Systems of Inequalities and Linear Programming |
| Partial Fractions |
| 6 Conic Sections |
| The Parabola |
| The Circle and the Ellipse |
| The Hyperbola |
| Nonlinear Systems of Equations |
| 7 Sequences, Series, and Combinatorics |
| Sequences and Series |
| Arithmetic Sequences and Series |
| Geometric Sequences and Series |
| Mathematical Induction |
| Combinatorics: Permutations |
| Combinatorics: Combinations |
| The Binomial Theorem |
| Probability |
