Description
Book SynopsisMarvin Bittinger has been teaching math at the university level for more than thirty-eight years. Since 1968, he has been employed at Indiana UniversityPurdue University Indianapolis, and is now professor emeritus of mathematics education. Professor Bittinger has authored over 190 publications on topics ranging from basic mathematics to algebra and trigonometry to applied calculus. He received his BA in mathematics from Manchester College and his PhD in mathematics education from Purdue University. Special honors include Distinguished Visiting Professor at the United States Air Force Academy and his election to the Manchester College Board of Trustees from 1992 to 1999. His hobbies include hiking in Utah, baseball, golf, and bowling. Professor Bittinger has also had the privilege of speaking at many mathematics conventions, most recently giving a lecture entitled Baseball and Mathematics. In addition, he also has an interest in philosophy and theology, in particular
Table of Contents
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Graphs, Functions, and Models
- 1.1. Introduction to Graphing
- 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
- Summary and Review
- Review Exercises
- Chapter Test
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More on Functions
- 2.1. Increasing, Decreasing, and Piecewise Functions; Applications
- 2.2. The Algebra of Functions
- 2.3. The Composition of Functions
- 2.4. Symmetry
- 2.5. Transformations
- 2.6. Variation and Applications
- Summary and Review
- Review Exercises
- Chapter Test
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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 Equations and Inequalities with Absolute Value
- Summary and Review
- Review Exercises
- Chapter Test
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Polynomial Functions and Rational Functions
- 4.1. Polynomial Functions and Modeling
- 4.2. Graphing Polynomial Functions
- 4.3. Polynomial Division; The Remainder Theorem and the Factor Theorem
- 4.4. Theorems about Zeros of Polynomial Functions
- 4.5. Rational Functions
- 4.6. Polynomial Inequalities and Rational Inequalities
- Study Guide
- Review Exercises
- Chapter Test
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Exponential Functions and Logarithmic Functions
- 5.1. Inverse Functions
- 5.2. Exponential Functions and Graphs
- 5.3. Logarithmic Functions and Graphs
- Visualizing the Graph
- 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 364
- Study Guide
- Review Exercises
- Chapter Test
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Systems of Equations and Matrices
- 6.1. Systems of Equations in Two Variables
- 6.2. Systems of Equations in Three Variables
- 6.3. Matrices and Systems of Equations
- 6.4. Matrix Operations
- 6.5. Inverses of Matrices
- 6.6. Determinants and Cramer’s Rule
- 6.7. Systems of Inequalities and Linear Programming
- 6.8. Partial Fractions
- Study Guide
- Review Exercises
- Chapter Test
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Conic Sections
- 7.1. The Parabola
- 7.2. The Circle and the Ellipse
- 7.3. The Hyperbola
- 7.4. Nonlinear Systems of Equations and Inequalities
- Visualizing the Graph
- Study Guide
- Review Exercises
- Chapter Test
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Sequences, Series, and Combinatorics
- 8.1. Sequences and Series
- 8.2. Arithmetic Sequences and Series
- 8.3. Geometric Sequences and Series
- 8.4. Mathematical Induction
- 8.5. Combinatorics: Permutations
- 8.6. Combinatorics: Combinations
- 8.7. The Binomial Theorem
- 8.8. Probability
- Study Guide
- Review Exercises
- Chapter Test
Photo Credits Answers Additional Instructor’s Answers Index Index of Applications
