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Marvin Bittinger has been teaching math at the university level for more than thirty-eight years. Since 1968, he has been employed at Indiana University Purdue 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, apologetics. Professor Bittinger currently lives in Carmel, Indiana, with his wife Elaine. He has two grown and married sons, Lowell and Chris, and four granddaughters.
Judy Beecher has an undergraduate degree in mathematics from Indiana University and a graduate degree in mathematics from Purdue University. She has taught at both the high school and college levels with many years of developmental math and precalculus teaching experience at Indiana University–Purdue University Indianapolis. In addition to her career in textbook publishing, she spends time traveling, enjoying her grandchildren, and promoting charity projects for a children's camp.
Barbara Johnson has a BS in mathematics from Bob Jones University and a MS in math from Clemson University. She has taught high school and college math for 30 years, and enjoys the challenge of helping each student grow in appreciation for and understanding of mathematics. As a Purdue Master Gardener, she also enjoys helping others learn gardening skills. Believing that the best teacher is always learning, she recently earned a black belt in karate.
1. Introduction to Real Numbers and Algebraic Expressions
1.1 Introduction to Algebra
1.2 The Real Numbers
1.3 Addition of Real Numbers
1.4 Subtraction of Real Numbers
Mid-Chapter Review
1.5 Multiplication of Real Numbers
1.6 Division of Real Numbers
1.7 Properties of Real Numbers
1.8 Simplifying Expressions; Order of Operations
Summary and Review
Test
2. Solving Equations and Inequalities
2.1 Solving Equations: The Addition Principle
2.2 Solving Equations: The Multiplication Principle
2.3 Using the Principles Together
2.4 Formulas
Mid-Chapter Review
2.5 Applications of Percent
2.6 Applications and Problem Solving
Translating for Success
2.7 Solving Inequalities
2.8 Applications and Problem Solving with Inequalities
Summary and Review
Test
Cumulative Review
3. Graphs of Linear Equations
3.1 Introduction to Graphing
3.2 Graphing Linear Equations
3.3 More with Graphing and Intercepts
Visualizing for Success
Mid-Chapter Review
3.4 Slope and Applications
Summary and Review
Test
Cumulative Review
4. Polynomials: Operations
4.1 Integers as Exponents
4.2 Exponents and Scientific Notation
4.3 Introduction to Polynomials
4.4 Addition and Subtraction of Polynomials
4.5 Multiplication of Polynomials
4.6 Special Products
Visualizing for Success
4.7 Operations with Polynomials in Several Variables
4.8 Division of Polynomials
Summary and Review
Test
Cumulative Review
5. Polynomials: Factoring
5.1 Introduction to Factoring
5.2 Factoring Trinomials of the Type x^{2} + bx + c
5.3 Factoring ax2 + bx + c, a ≠ 1: The FOIL Method
5.4 Factoring ax2 + bx + c, a ≠ 1: The ac-Method
Mid-Chapter Review
5.5 Factoring Trinomial Squares and Differences of Squares
5.6 Factoring Sums or Differences of Cubes
5.7 Factoring: A General Strategy
5.8 Solving Quadratic Equations by Factoring
5.9 Applications of Quadratic Equations
Translating for Success
Summary and Review
Test
Cumulative Review
6. Rational Expressions and Equations
6.1 Multiplying and Simplifying Rational Expressions
6.2 Division and Reciprocals
6.3 Least Common Multiples and Denominators
6.4 Adding Rational Expressions
6.5 Subtracting Rational Expressions
Mid-Chapter Review
6.6 Complex Rational Expressions
6.7 Solving Rational Equations
6.8 Applications Using Rational Equations and Proportions
Translating for Success
6.9 Variation and Applications
Summary and Review
Test
Cumulative Review
7. Graphs, Functions, and Applications
7.1 Functions and Graphs
7.2 Finding Domain and Range
Mid-Chapter Review
7.3 Linear Functions: Graphs and Slope
7.4 More on Graphing Linear Equations
Visualizing for Success
7.5 Finding Equations of Lines; Applications
Summary and Review
Test
Cumulative Review
8. Systems of Equations
8.1 Systems of Equations in Two Variables
8.2 Solving by Substitution
8.3 Solving by Elimination
8.4 Solving Applied Problems: Two Equations
Translating for Success
Mid-Chapter Review
8.5 Systems of Equations in Three Variables
8.6 Solving Applied Problems: Three Equations
Summary and Review
Test
Cumulative Review
9. More on Inequalities
9.1 Sets, Inequalities, and Interval Notation
Translating for Success
9.2 Intersections, Unions, and Compound Inequalities
Mid-Chapter Review
9.3 Absolute-Value Equations and Inequalities
9.4 Systems of Inequalities in Two Variables
Visualizing for Success
Summary and Review
Test
Cumulative Review
10. Radical Expressions, Equations, and Functions
10.1 Radical Expressions and Functions
10.2 Rational Numbers as Exponents
10.3 Simplifying Radical Expressions
10.4 Addition, Subtraction, and More Multiplication
Mid-Chapter Review
10.5 More on Division of Radical Expressions
10.6 Solving Radical Equations
10.7 Applications Involving Powers and Roots
Translating for Success
10.8 The Complex Numbers
Summary and Review
Test
Cumulative Review
11. Quadratic Equations and Functions
11.1 The Basics of Solving Quadratic Equations
11.2 The Quadratic Formula
11.3 Applications Involving Quadratic Equations
Translating for Success
11.4 More on Quadratic Equations
Mid-Chapter Review
11.5 Graphing f(x) = a(x - h)^{2} + k
11.6 Graphing f(x) = ax^{2} + bx + c
Visualizing for Success
11.7 Mathematical Modeling with Quadratic Functions
11.8 Polynomial Inequalities and Rational Inequalities
Summary and Review
Test
Cumulative Review
12. Exponential Functions and Logarithmic Functions
12.1 Exponential Functions
12.2 Composite Functions and Inverse Functions
12.3 Logarithmic Functions
12.4 Properties of Logarithmic Functions
Mid-Chapter Review
12.5 Natural Logarithmic Functions
Visualizing for Success
12.6 Solving Exponential Equations and Logarithmic Equations
12.7 Mathematical Modeling with Exponential Functions and Logarithmic Functions
Translating for Success
Summary and Review
Test
Cumulative Review
Appendices
A. Factoring and LCMs
B. Fraction Notation
C. Exponential Notation and Order of Operations
D. Introductory Algebra Review
E. Mean, Median, and Mode
F. Synthetic Division
G. Determinants and Cramerâ€™s Rule
H. Elimination Using Matrices
I. The Algebra of Functions
J. Distance, Midpoints, and Circles
Answers
Guided Solutions
Glossary
Index
Additional Instructor's Answers