College Algebra and Trigonometry

Richard Aufmann is the lead author of two best-selling DEVELOPMENTAL MATH series and a best-selling COLLEGE ALGEBRA AND TRIGONOMETRY series, as well as several derivative math texts. Mr. Aufmann taught math, computer science and physics at Palomar College in California, where he was on the faculty for 28 years. His textbooks are highly recognized and respected among college mathematics professors. Today, Mr. Aufmann's professional interests include quantitative literacy, the developmental math curriculum and the impact of technology on curriculum development. He holds a Bachelor of Arts in Mathematics from the University of California, Irvine and a Master of Arts degree in Mathematics from California State University, Long Beach. Vernon Barker has retired from Palomar College where he was Professor of Mathematics. He is a co-author on the majority of Aufmann texts, including the best-selling developmental paperback series. Richard Nation received a B.A. in mathematics from Morningside College and a M.S. degree in mathematics from the University of South Dakota. Mr. Nation also attended a National Science Foundation academic year institute in mathematics at San Diego State University. Mr. Nation taught math at Palomar College in California, where he was on the faculty for 20 years. He has over 38 years’ experience teaching mathematics at the high school and college levels. He is the co-author of several Aufmann titles. Today, Mr. Nation’s professional interests include the impact of technology on curriculum development and on the teaching of mathematics at the precalculus level.

Each chapter concludes with Exploring Concepts with Technology, Summary, Assessing Concepts, Review Exercises, Quantitative Reasoning, Chapter Test, and Cumulative Review Exercises.
P. PRELIMINARY CONCEPTS.
The Real Number System. Integer and Rational Number Exponents. Polynomials. Factoring. Rational Expressions. Complex Numbers.
1. EQUATIONS AND INEQUALITIES.
Linear and Absolute Value Equations. Formulas and Applications. Quadratic Equations. Other Types of Equations. Inequalities. Variation and Applications.
2. FUNCTIONS AND GRAPHS.
A Two Dimensional Coordinate System and Graphs. Introduction to Functions. Linear Functions. Quadratic Functions. Properties of Graphs. The Algebra of Functions. Modeling Data Using Regression.
3. POLYNOMIAL AND RATIONAL FUNCTIONS.
The Remainder Theorem and the Factor Theorem. Polynomial Functions of Higher Degree. Zeros of Polynomial Functions. The Fundamental Theorem of Algebra. Graphs of Rational Functions and Their Applications.
4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Inverse Functions. Exponential Functions and Their Applications. Logarithmic Functions and Their Applications. Properties of Logarithms and Logarithmic Scales. Exponential and Logarithmic Equations. Exponential Growth and Decay. Modeling Data with Exponential and Logarithmic Functions.
5. TRIGONOMETRIC FUNCTIONS.
Angles and Arcs. Right Triangle Trigonometry. Trigonometric Functions of Any Angle. Trigonometric Functions of Real Numbers. Graphs of the Sine and Cosine Functions. Graphs of the Other Trigonometric Functions. Graphing Techniques. Harmonic Motion--An Application of the Sine and Cosine Functions.
6. TRIGONOMETRIC IDENTITIES AND EQUATIONS.
Verification of Trigonometric Identities. Sum, Difference, and Cofunction Identities. Double- and Half-Angle Identities. Identities Involving the Sum of Trigonometric Functions. Inverse Trigonometric Functions. Trigonometric Equations.
7. APPLICATIONS OF TRIGONOMETRY.
The Law of Sines. The Law of Cosines and Area. Vectors. Trigonometric Form of Complex Numbers. De Moivre's Theorem.
8. TOPICS IN ANALYTIC GEOMETRY.
Parabolas. Ellipses. Hyperbolas. Rotation of Axes. Introduction to Polar Coordinates. Polar Equations of the Conics. Parametric Equations.
9. SYSTEMS OF EQUATIONS AND INEQUALITIES.
Systems of Linear Equations in Two Variables. Systems of Linear Equations in More than Two Variables. Nonlinear Systems of Equations. Partial Fractions. Inequalities in Two Variables and Systems of Inequalities. Linear Programming.
10. MATRICES.
Gaussian Elimination Method. The Algebra of Matrices. The Inverse of a Matrix. Determinants. Cramer's Rule.
11. SEQUENCES, SERIES, AND PROBABILITY.
Infinite Sequences and Summation Notation. Arithmetic Sequences and Series. Geometric Sequences and Series. Mathematical Induction. The Binomial Theorem. Permutations and Combinations. Introduction to Probability.