Focusing on helping students to develop both the conceptual understanding and the analytical skills necessary to experience success in mathematics, we present each mathematical topic in this text using a carefully developed learning system to actively engage students in the learning process. We have tried to address the diverse needs of today's students through a more open design, updated figures and graphs, helpful features, careful explanations of topics, and a comprehensive package of supplements and study aids. Students planning to continue their study of mathematics in calculus, trigonometry, statistics, or other disciplines, as well as those taking college algebra as their final mathematics course, will benefit from the text's student-oriented approach. We believe instructors will particularly welcome the new Annotated Instructor's Edition, which provides answers in the margin to almost all exercises, plus helpful Teaching Tips.
R. Review of Basic Concepts. Real Numbers and Their Properties. Order and Absolute Value. Polynomials. Factoring Polynomials. Rational Expressions. Rational Exponents. Radical Expressions. 1. Equations and Inequalities. Linear Equations. Applications and Modeling with Linear Equations. Complex Numbers. Quadratic Equations. Applications and Modeling with Quadratic Equations. Other Types of Equations. Inequalities. Absolute Value Equations and Inequalities. 2. Graphs and Functions. Graphs of Equations. Functions. Linear Functions. Equations of Lines; Curve Fitting. Graphs of Basic Functions. Graphing Techniques. Function Operations and Composition. 3. Polynomial and Rational Functions. Quadratic Functions and Models. Synthetic Division. Zeros of Polynomial Functions. Polynomial Functions: Graphs, Applications, and Models. Rational Functions: Graphs, Applications, and Models. Variation. 4. Exponential and Logarithmic Functions. Inverse Functions. Exponential Functions. Logarithmic Functions. Evaluating Logarithms and the Change-of-Base Theorem. Exponential and Logarithmic Equations. Applications and Models of Exponential Growth and Decay. 5. Systems and Matrices. Systems of Linear Equations. Matrix Solution of Linear Systems. Determinant Solution of Linear Systems. Partial Fractions. Nonlinear Systems of Equations. Systems of Inequalities and Linear Programming. Properties of Matrices. Matrix Inverses. 6. Analytic Geometry. Parabolas. Ellipses. Hyperbolas. Summary of the Conic Sections. 7. Further Topics in Algebra. Sequences and Series. Arithmetic Sequences and Series. Geometric Sequences and Series. The Binomial Theorem. Mathematical Induction. Counting Theory. Basics of Probability. Appendix-Sets. Glossary. Solutions to Selected Exercises. Answers to Selected Exercises. Index of Applications. Index.