College Algebra Enhanced with Graphing Utilities

Michael Sullivan, Emeritus Professor of Mathematics at Chicago State University, received a Ph.D. in mathematics from the Illinois Institute of Technology. Mike taught at Chicago State for 35 years before recently retiring. He is a native of Chicago's South Side and divides his time between Oak Lawn, Illinois, and Naples, Florida. Mike is a member of the American Mathematical Society and the Mathematical Association of America. He is a past president of the Text and Academic Authors Association and is currently Treasurer of its Foundation. He is a member of the TAA Council of Fellows, and was awarded the TAA Mike Keedy award in 1997 and the Lifetime Achievement Award in 2007. In addition, he represents TAA on the Authors Coalition of America. Mike has been writing textbooks for more than 35 years and currently has 15 books in print, 12 with Pearson Education. When not writing, he enjoys tennis, golf, gardening, and travel. Mike has four children: Kathleen teaches college mathematics; Michael III teaches college mathematics and is his co-author on two precalculus series; Dan works in publishing; and Colleen teaches middle school and secondary school mathematics. Twelve grandchildren round out the family. Mike Sullivan III is a professor of mathematics at Joliet Junior College. He holds graduate degrees from DePaul University in both mathematics and economics. Mike is an author or co-author on more than 20 books, including a statistics book and a developmental mathematics series. Mike is the father of three children and an avid golfer, who tries to spend as much of his limited free time as possible on the golf course.

R. Review R.1 Real Numbers R.2 Algebra Essentials R.3 Geometry Essentials R.4 Polynomials R.5 Factoring Polynomials R.6 Synthetic Division R.7 Rational Expressions R.8 nth Roots; Rational Exponents 1. Graphs, Equations, and Inequalities 1.1 The Distance and Midpoint Formulas; Graphing Utilities; Introduction to Graphing Equations 1.2 Solving Equations Using a Graphing Utility; Linear and Rational Equations 1.3 Quadratic Equations 1.4 Complex Numbers; Quadratic Equations in the Complex Number System 1.5 Radical Equations; Equations Quadratic in Form; Absolute Value Equations Factorable Equations 1.6 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Jobs 1.7 Solving Inequalities Chapter Review Chapter Test Cumulative Review Chapter Projects 2. Systems of Linear Equations and Matrices 2.1 Intercepts; Symmetry; Graphing Key Equations 2.2 Lines 2.3 Circles 2.4 Variation Chapter Review Chapter Test Cumulative Review Chapter Projects 3. Functions and their Graphs 3.1 Functions 3.2 The Graph of a Function 3.3 Properties of Functions 3.4 Library of Functions; Piecewise-defined Functions 3.5 Graphing Techniques: Transformations 3.6 Mathematical Models: Building Functions Chapter Review Chapter Test Cumulative Review Chapter Projects 4. Linear and Quadratic Functions 4.1 Properties of Linear Functions and Linear Models 4.2 Building Linear Models from Data 4.3 Quadratic Functions and Their Properties 4.4 Build Quadratic Models from Verbal Descriptions and Data 4.5 Inequalities Involving Quadratic Functions Chapter Review Chapter Test Cumulative Review Chapter Projects 5. Polynomial and Rational Functions 5.1 Polynomial Functions and Models 5.2 The Real Zeros of a Polynomial Function 5.3 Complex Zeros; Fundamental Theorem of Algebra 5.4 Properties of Rational Functions 5.5 The Graph of a Rational Function 5.6 Polynomial and Rational Inequalities Chapter Review Chapter Test Cumulative Review Chapter Projects 6. Exponential and Logarithmic Functions 6.1 Composite Functions 6.2 One-to-One Functions; Inverse Functions 6.3 Exponential Functions 6.4 Logarithmic Functions 6.5 Properties of Logarithms 6.6 Logarithmic and Exponential Equations 6.7 Financial Models 6.8 Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models 6.9 Building Exponential, Logarithmic, and Logistic Models from Data Chapter Review Chapter Test Cumulative Review Chapter Projects 7. Analytic Geometry 7.1 Conics 7.2 The Parabola 7.3 The Ellipse 7.4 The Hyperbola Chapter Review Chapter Test Cumulative Review Chapter Projects 8. Systems of Equations and Inequalities 8.1 Systems of Linear Equations: Substitution and Elimination 8.2 Systems of Linear Equations: Matrices 8.3 Systems of Linear Equations: Determinants 8.4 Matrix Algebra 8.5 Partial Fraction Decomposition 8.6 Systems of Nonlinear Equations 8.7 Systems of Inequalities 8.8 Linear Programming Chapter Review Chapter Test Cumulative Review Chapter Projects 9. Sequences; Induction; the Binomial Theorem 9.1 Sequences 9.2 Arithmetic Sequences 9.3 Geometric Sequences; Geometric Series 9.4 Mathematical Induction 9.5 The Binomial Theorem Chapter Review Chapter Test Cumulative Review Chapter Projects 10. Counting and Probability 10.1 Counting 10.2 Permutations and Combinations 10.3 Probability Chapter Review Chapter Test Cumulative Review Chapter Projects Answers Index