# Precalculus

ISBN
9780077349912

Edition
7

Publication Date
26 Jan 2010

Publisher
McGraw Hill

Author(s)
Ziegler, Michael R. ; Sobecki, David; Byleen, Karl E.; Barnett, Raymond A.

Overview

Precalculus 7e
## CHAPTER R: BASIC ALGEBRAIC OPERATIONS

R-1Algebra and Real Numbers R-2Exponents and Radicals R-3Polynomials: Basic Operations and Factoring R-4Rational Expressions: Basic Operations Chapter R Review## CHAPTER 1: EQUATIONS AND INEQUALITIES

1-1Linear Equations and Applications 1-2Linear Inequalities 1-3Absolute Value 1-4Complex Numbers 1-5Quadratic Equations and Applications 1-6Equations Involving Radicals Chapter 1 Group Activity: Solving a Cubic Equation Chapter 1 Review## CHAPTER 2: GRAPHS

2-1Rectangular Coordinates 2-2Distance in the Plane 2-3Equations of a Line 2-4Linear Equations and Models Chapter 2 Group Activity: Rates of Change Chapter 2 Review## CHAPTER 3: FUNCTIONS

3-1Functions 3-2Graphing Functions 3-3Transformations of Functions 3-3Quadratic Functions 3-5Combining Functions; Composition 3-6Inverse Functions Chapter 3 Group Activity: Mathematical Modeling - Choosing a Long-Distance Calling Plan Chapter 3 Review 1, 2, & 3 Cumulative Review Exercises## CHAPTER 4: POLYNOMIAL AND RATIONAL FUNCTIONS

4-1Polynomial Functions And Models 4-2Real Zeros and Polynomial Inequalities 4-3Complex Zeros and Rational Zeros of Polynomials 4-4Rational Functions and Inequalities 4-5Variation and Modeling Chapter 4 Group Activity: Interpolating Polynomials Chapter 4 Review## CHAPTER 5: EXPONENTIAL AND LOGARITHMIC FUNCTIONS

5-1Exponential Functions 5-2Exponential Models 5-3Logarithmic Functions 5-4Logarithmic Models 5-5Exponential and Logarithmic Equations Chapter 5 Group Activity: Growth of Increasing Functions Chapter 5 Review 4 & 5 Cumulative Review Exercises## CHAPTER 6: TRIGONOMETRIC FUNCTIONS

6-1Angles and Their Measure 6-2Trigonometric Functions: A Unit Circle Approach 6-3Solving Right Triangles 6-4Trigonometric Functions: Properties and Graphs 6-5More General Trigonometric Functions 6-6Inverse Trigonometric Functions Chapter 6 Group Activity: A Predator-Prey Analysis Involving Mountain Lions and Deer Chapter 6 Review## CHAPTER 7: TRIGONOMETRIC IDENTITIES AND CONDITIONAL EQUATIONS

7-1Basic Identities and Their Use 7-2Sum, Difference, and Cofunction Identities 7-3Double-Angle and Half-Angle Identities 7-4Product-Sum and Sum-Product Identities 7-5Trigonometric Equations Chapter 7 Group Activity: From M sin Bt + N cos Bt to A sin(Bt + C) - A Harmonic Analysis Tool Chapter 7 Review## CHAPTER 8: ADDITIONAL TOPICS IN TRIGONOMETRY

8-1Law of Sines 8-2Law of Cosines 8-3Vectors in the Plane 8-4Polar Coordinates and Graphs 8-5Complex Numbers and De Moivre's Theorem Chapter 8 Group Activity: Conic Sections and Planetary Orbits Chapter 8 Review 6, 7, & 8 Cumulative Review Exercises## CHAPTER 9: ADDITIONAL TOPICS IN ANALYTIC GEOMETRY

9-1Conic Sections; Parabola 9-2Ellipse 9-3Hyperbola 9-4Rotation of Axes Chapter 9 Group Activity: Focal Chords Chapter 9 Review## CHAPTER 10: SYSTEMS OF EQUATIONS AND INEQUALITIES; MATRICES

10-1Systems of Linear Equations 10-2Solving Linear Systems Using Gauss-Jordan Elimination 10-3Matrix Operations 10-4Solving Linear Systems Using Inverse Matrices 10-5Determinants and Cramer's Rule Chapter 10 Group Activity: Modeling with Systems of Linear Equations 10-6Systems of Nonlinear Equations 10-7Systems of Linear Inequalities 10-8Linear Programming Chapter 10 Review## CHAPTER 11: SEQUENCES AND SERIES

11-1Sequences and Series 11-2Mathematical Induction 11-3Arithmetic and Geometric Sequences 11-4Counting Techniques: Multiplication Principle, Permutations, and Combinations 11-5Sample Spaces and Probability 11-6Binomial Formula Chapter 11 Group Activity: Sequences Specified by Recursion Formulas Chapter 11 Review 9. 10, & 11 Cumulative Review Exercises## CHAPTER 12: LIMITS: AN INTRODUCTION TO CALCULUS

12-1Introduction to Limits 12-2Computing Limits Algebraically 12-3Limits at Infinity 12-4The Derivative 12-5Area and Calculus Chapter 12 Group Activity: Derivatives of Exponential and Log Functions Chapter 12 Review## APPENDIX A: SPECIAL TOPICS

A-1Scientific Notation and Significant Digits A-2Partial Fractions A-3Parametric Equations## APPENDIX B

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