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. Professor Bittinger has also had the privilege of speaking at many mathematics conventions, most recently giving a lecture entitled Baseball and Mathematics. His hobbies include hiking in Utah, baseball, golf, and bowling. In addition, he also has an interest in philosophy and theology, in particular
Table of Contents
Table of Contents
- Index of Activities
- Index of Animations
- Preface
- Index of Applications
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JUST-IN-TIME REVIEW
- The Set of Real Numbers
- Order for the Real Numbers
- Graphing Inequalities on the Number Line
- Absolute Value
- Add Real Numbers
- Opposites, or Additive Inverses
- Subtract Real Numbers
- Multiply Real Numbers
- Divide Real Numbers
- Exponential Notation (Part 1)
- Order of Operations
- Translate to an Algebraic Expression
- Evaluate Algebraic Expressions
- Equivalent Fraction Expressions
- The Commutative Laws and the Associative Laws
- The Distributive Laws
- Collecting Like Terms
- Removing Parentheses and Collecting Like Terms
- Exponential Notation (Part 2)
- Scientific Notation
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SOLVING LINEAR EQUATIONS AND INEQUALITIES
- 1.1 Solving Equations
- 1.2 Formulas and Applications
- 1.3 Applications and Problem Solving
- 1.4 Sets, Inequalities, and Interval Notation
- 1.5 Intersections, Unions, and Compound Inequalities
- 1.6 Absolute-Value Equations and Inequalities
- Summary and Review
- Test
-
GRAPHS, FUNCTIONS, AND APPLICATIONS
- 2.1 Graphs of Equations
- 2.2 Functions and Graphs
- 2.3 Finding Domain and Range
- 2.4 Linear Functions: Graphs and Slope
- 2.5 More on Graphing Linear Equations
- 2.6 Finding Equations of Lines; Applications
- Summary and Review
- Test
- Cumulative Review
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SYSTEMS OF EQUATIONS
- 3.1 Systems of Equations in Two Variables
- 3.2 Solving by Substitution
- 3.3 Solving by Elimination
- 3.4 Solving Applied Problems: Two Equations Translating for Success
- 3.5 Systems of Equations in Three Variables
- 3.6 Solving Applied Problems: Three Equations
- 3.7 Systems of Inequalities in Two Variables
- Visualizing for Success
- Summary and Review
- Test
- Cumulative Review
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POLYNOMIALS AND POLYNOMIAL FUNCTIONS
- 4.1 Introduction to Polynomials and Polynomial Functions
- 4.2 Multiplication of Polynomials
- 4.3 Introduction to Factoring
- 4.4 Factoring Trinomials: x2 + bx + c
- 4.5 Factoring Trinomials: ax2 + bx + c, a ≠1
- 4.6 Special Factoring
- 4.7 Factoring: A General Strategy
- 4.8 Applications of Polynomial Equations and Functions
- Translating for Success
- Summary and Review
- Test
- Cumulative Review
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RATIONAL EXPRESSIONS, EQUATIONS, AND FUNCTIONS
- 5.1 Rational Expressions and Functions: Multiplying, Dividing, and Simplifying
- 5.2 LCMs, LCDs, Addition, and Subtraction
- 5.3 Division of Polynomials
- 5.4 Complex Rational Expressions
- 5.5 Solving Rational Equations
- 5.6 Applications and Proportions
- 5.7 Formulas and Applications
- 5.8 Variation and Applications
- Summary and Review
- Test
- Cumulative Review
-
RADICAL EXPRESSIONS, EQUATIONS, AND FUNCTIONS
- 6.1 Radical Expressions and Functions
- 6.2 Rational Numbers as Exponents
- 6.3 Simplifying Radical Expressions
- 6.4 Addition, Subtraction, and More Multiplication
- 6.5 More on Division of Radical Expressions
- 6.6 Solving Radical Equations
- 6.7 Applications Involving Powers and Roots
- 6.8 The Complex Numbers
- Summary and Review
- Test
- Cumulative Review
-
QUADRATIC EQUATIONS AND FUNCTIONS
- 7.1 The Basics of Solving Quadratic Equations
- 7.2 The Quadratic Formula
- 7.3 Applications Involving Quadratic Equations
- 7.4 More on Quadratic Equations
- 7.5 Graphing f(x) = a(x - h)2 + k
- 7.6 Graphingf(x) = a x2 + bx + c
- 7.7 Mathematical Modeling with Quadratic Functions
- 7.8 Polynomial Inequalities and Rational Inequalities
- Summary and Review
- Test
- Cumulative Review
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EXPONENTIAL FUNCTIONS AND LOGARITHMIC FUNCTIONS
- 8.1 Exponential Functions
- 8.2 Composite Functions and Inverse Functions
- 8.3 Logarithmic Functions
- 8.4 Properties of Logarithmic Functions
- 8.5 Natural Logarithmic Functions
- 8.6 Solving Exponential Equations and Logarithmic Equations
- 8.7 Mathematical Modeling with Exponential Functions and Logarithmic Functions
- Translating for Success
- Summary and Review
- Test
- Cumulative Review
-
CONIC SECTIONS
- 9.1 Parabolas and Circles
- 9.2 Ellipses
- 9.3 Hyperbolas
- 9.4 Nonlinear Systems of Equations
- Summary and Review
- Test
- Cumulative Review
APPENDIXES
- Fraction Notation
- Determinants and Cramer’s Rule
- Elimination Using Matrices
- The Algebra of Functions
Answers Guided Solutions Glossary Index
