Precalculus: Understanding Functions, a Graphing Approach / Edition 1

Precalculus: Understanding Functions, a Graphing Approach / Edition 1

by Arthur Goodman, Lewis Hirsch, Lewis Hirsch
     
 

ISBN-10: 0534371760

ISBN-13: 9780534371760

Pub. Date: 01/28/2000

Publisher: Cengage Learning


These experienced authors have been praised for their in-depth explanations and their commitment to avoiding a cookbook approach. Their text addresses three critical issues in teaching precalculus: poor student preparation, the need for thoughtful integration of the graphing calculator, and poor student study skills.

Overview


These experienced authors have been praised for their in-depth explanations and their commitment to avoiding a cookbook approach. Their text addresses three critical issues in teaching precalculus: poor student preparation, the need for thoughtful integration of the graphing calculator, and poor student study skills.

Product Details

ISBN-13:
9780534371760
Publisher:
Cengage Learning
Publication date:
01/28/2000
Series:
Math Series
Edition description:
Older Edition
Pages:
800
Product dimensions:
7.09(w) x 9.45(h) x (d)

Table of Contents


1. ALGEBRA: THE FUNDAMENTALS The Real Numbers / Operations with Real Numbers / Polynomials and Rational Expressions / Exponents and Radicals / The Complex Numbers / First Degree Equations and Inequalities in One Variable / Absolute Value Equations and Inequalities / Quadratic Equations and Equations in Quadratic Form / Quadratic and Rational Inequalities / Substitution / Review Exercises / Practice Test 2. FUNCTIONS AND GRAPHS: PART I The Cartesian Coordinate System: Graphing Straight Lines and Equations of Circles / Slope / Equations of a Line / Relations and Functions / Function Notation / Relating Equations to Their Graphs / Introduction to Graph Sketching: Symmetry / Chapter Summary / Review Exercises / Practice Test 3. FUNCTIONS AND GRAPHS: PART II Basic Graphing Principles / More Graphing Principles; Types of Functions / Extracting Functions from "Real Life" Situations / Quadratic Functions / Operations on Functions / Inverse Functions / Chapter Summary / Review Exercises / Practice Test 4. POLYNOMIAL, RATIONAL, AND RADICAL FUNCTIONS Polynomial Functions / More Polynomial Functions and Mathematical Models / Polynomial Division and Synthetic Division / Roots of Polynomial Equations: The Factor, Remainder, and Rational Root Theorems / Rational Functions / Radical Functions / Variation / Chapter Summary / Review Exercises / Practice Test 5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS Exponential Functions / Logarithmic Functions / Properties of Logarithms; Logarithm Equations / Common and Natural Logarithms; Exponential Equations and Change of Base / Applications / Chapter Summary / Review Exercises / Practice Test 6. TRIGONOMETRY Angle Measurement and Two Special Triangles / The Trigonometric Functions of a General Angle / Right Triangle Trigonometry and Applications / The Trigonometric Functions as Functions of Real Numbers / Chapter Summary / Review Exercises / Practice Test 7. THE TRIGONOMETRIC FUNCTIONS The Sine and Cosine Functions and Their Graphs / The Tangent, Secant, Cosecant, and Cotangent Functions and Their Graphs / Basic Identities / Trigonometric Equations / The Inverse Trigonometric Functions / Chapter Summary / Review Exercises / Practice Test 8. MORE TRIGONOMETRY AND ITS APPLICATIONS The Addition Formulas / The Double-Angle and Half-Angle Formulas / The Law of Sines and the Law of Cosines / Vectors / The Trigonometric Form of Complex Numbers and DeMoivre''''s Theorem / Polar Coordinates / Chapter Summary / Review Exercises / Practice Test 9. SYSTEMS OF EQUATIONS AND INEQUALITIES Elimination and Substitution: 2 × 2 Linear Systems / Elimination and Gaussian Elimination: 3 × 3 Linear Systems / Solving Linear Systems Using Augmented Matrices / The Algebra of Matrices / Determinants and Cramer''''s Rule: 2 x 2 and 3 x 3 Systems / Properties of Determinants / Systems of Linear Inequalities / Chapter Summary / Review Exercises / Practice Test 10. THE CONIC SECTIONS Conic Sections: Circles / The Parabola / The Ellipse / The Hyperbola / Identifying Conic Sections and Degenerate Forms / Translation and Rotations of Coordinate Axes / Non-Linear Systems of Equations and Inequalities / Chapter Summary / Review Exercises / Practice Test 11. SEQUENCES AND SERIES AND RELATED TOPICS Sequences / Series and Sigma Notation / Arithmetic Sequences and Series / Geometric Sequences and Series / Mathematical Induction / Permutations and Combinations / The Binomial Theorem / Chapter Summary / Review Exercises / Practice Test

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