Synopses & Reviews
Dwyer and Gruenwald's COLLEGE ALGEBRA AND TRIGONOMETRY, SECOND EDITION, is a graphing calculator-dependent text with a contemporary flair. Building upon a traditional table of contents, the authors integrate the best of modern math pedagogy including the rule of four, modeling, and a strong conceptual orientation. The authors motivate students with fresh, current applications that address important topical issues, as well as entertaining and illustrative ones. These applications are woven around a carefully paced presentation of algebra and trigonometry topics. A rich variety of exercises further engage and challenge students. Generic graphing calculator instruction is provided in the text while guidelines and keystrokes for specific calculators can be found in the text-specific manual.
Table of Contents
1. FOUNDATIONS AND FUNDAMENTALS Number Systems and Estimation / Introduction to Coordinate Geometry / Properties and Operations / Integer Exponents / Polynomial Expressions / Factoring Polynomials / Rational Expressions / Radicals and Rational Exponents / Chapter Review / Chapter Test 2. EQUATIONS AND INEQUALITIES Graphs of Equations / Techniques for Solving Equations / Linear Equations and Inequalities / Absolute-Value Equations and Inequalities / Polynomial Equations and Inequalities / Quadratic Equations / Rational and Radical Equations and Inequalities / Systems of Equations / Chapter Review / Chapter Test 3. FUNCTIONS AND THEIR GRAPHS Lines / Functions / Graphs of Functions / Combinations of Functions / Inverses of Functions / Selected Functions / Modeling with Functions and Variations / Chapter Review / Chapter Test 4. POLYNOMIALS AND RATIONAL FUNCTIONS Polynomial Functions / Division of Polynomials / Zeros and Factors of Polynomials / Real Zeros of Polynomials / Rational Functions / Chapter Review / Chapter Test 5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS Exponential Functions / Logarithmic Functions / Logarithmic Identities and Equations / Exponential Equations and Applications / Modeling with Exponential and Logarithmic Functions / Chapter Review / Chapter Test 6. TRIGONOMETRIC FUNCTIONS Angles and Their Measurements / Trigonometric Functions of Acute Angles / Trigonometric Functions of Real Numbers / Graphs of Sine and Cosine / Graphs of Other Trigonometric Functions / Inverse Trigonometric Functions / Chapter Review / Chapter Test 7. TRIGONOMETRIC IDENTITIES AND EQUATIONS Fundamental Trigonometric Identities / Sum and Difference Identities / Double-Angle and Half-Angle Identities / Conditional Trigonometric Equations / Chapter Review / Chapter Test 8. APPLICATIONS OF TRIGONOMETRY The Law of Sines / The Law of Cosines / Trigonometric Form of Complex Numbers / Powers and Roots of Complex Numbers / Polar Coordinates / Vectors / Chapter Review / Chapter Test 9. RELATIONS AND CONIC SECTIONS Relations and Their Graphs / Parabolas / Ellipses / Hyperbolas / Rotation of Axes / Parametric Equations / Chapter Review / Chapter Test 10. SYSTEMS OF EQUATIONS AND INEQUALITIES Matrices / Linear Systems and Matrices / Gaussian and Gauss-Jordan Elimination / Inverses of Square Matrices / Determinants and Cramers Rule / Systems of Inequalities / Linear Programming / Chapter Review / Chapter Test 11. INTEGER FUNCTIONS AND PROBABILITY Sequences / Series / Permutations and Combinations / Probability / The Binomial Theorem / Mathematical Induction / Chapter Review / Chapter Test / ANSWERS / INDEX OF APPLICATIONS / INDEX / CREDITS