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Precalculus,9780077349912
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Precalculus

by ; ; ;
Edition:
7th
ISBN13:

9780077349912

ISBN10:
0077349911
Format:
Hardcover
Pub. Date:
1/26/2010
Publisher(s):
McGraw-Hill Science/Engineering/Math
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Summary

The Barnett, Ziegler, Byleen, and Sobecki College Algebra series is designed to be user friendly and to maximize student comprehension by emphasizing computational skills, ideas, and problem solving as opposed to mathematical theory. Suitable for either one or two semester college algebra with trigonometry or precalculus courses, Precalculus introduces a unit circle approach to trigonometry and includes a chapter on limits to provide students with a solid foundation for calculus concepts. The large number of pedagogical devices employed in this text will guide a student through the course. Integrated throughout the text, students and instructors will find Explore-Discuss boxes which encourage students to think critically about mathematical concepts. In each section, the worked examples are followed by matched problems that reinforce the concept being taught. In addition, the text contains an abundance of exercises and applications that will convince students that math is useful. A MathZone site featuring algorithmic exercises, videos, and other resources accompanies the text.

Table of Contents

Precalculus 7e

CHAPTER R: BASIC ALGEBRAIC OPERATIONS

R-1 Algebra and Real Numbers

R-2 Exponents and Radicals

R-3 Polynomials: Basic Operations and Factoring

R-4 Rational Expressions: Basic Operations

Chapter R Review

CHAPTER 1: EQUATIONS AND INEQUALITIES

1-1 Linear Equations and Applications

1-2 Linear Inequalities

1-3 Absolute Value

1-4 Complex Numbers

1-5 Quadratic Equations and Applications

1-6 Equations Involving Radicals

Chapter 1 Group Activity: Solving a Cubic Equation

Chapter 1 Review

CHAPTER 2: GRAPHS

2-1 Rectangular Coordinates

2-2 Distance in the Plane

2-3 Equations of a Line

2-4 Linear Equations and Models

Chapter 2 Group Activity: Rates of Change

Chapter 2 Review

CHAPTER 3: FUNCTIONS

3-1 Functions

3-2 Graphing Functions

3-3 Transformations of Functions

3-3 Quadratic Functions

3-5 Combining Functions; Composition

3-6 Inverse 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

4-1 Polynomial Functions And Models

4-2 Real Zeros and Polynomial Inequalities

4-3 Complex Zeros and Rational Zeros of Polynomials

4-4 Rational Functions and Inequalities

4-5 Variation and Modeling

Chapter 4 Group Activity: Interpolating Polynomials

Chapter 4 Review

CHAPTER 5: EXPONENTIAL AND LOGARITHMIC FUNCTIONS

5-1 Exponential Functions

5-2 Exponential Models

5-3 Logarithmic Functions

5-4 Logarithmic Models

5-5 Exponential and Logarithmic Equations

Chapter 5 Group Activity: Growth of Increasing Functions

Chapter 5 Review

4 & 5 Cumulative Review Exercises

CHAPTER 6: TRIGONOMETRIC FUNCTIONS

6-1 Angles and Their Measure

6-2 Trigonometric Functions: A Unit Circle Approach

6-3 Solving Right Triangles

6-4 Trigonometric Functions: Properties and Graphs

6-5 More General Trigonometric Functions

6-6 Inverse 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

7-1 Basic Identities and Their Use

7-2 Sum, Difference, and Cofunction Identities

7-3 Double-Angle and Half-Angle Identities

7-4 Product-Sum and Sum-Product Identities

7-5 Trigonometric 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

8-1 Law of Sines

8-2 Law of Cosines

8-3 Vectors in the Plane

8-4 Polar Coordinates and Graphs

8-5 Complex 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

9-1 Conic Sections; Parabola

9-2 Ellipse

9-3 Hyperbola

9-4 Rotation of Axes

Chapter 9 Group Activity: Focal Chords

Chapter 9 Review

CHAPTER 10: SYSTEMS OF EQUATIONS AND INEQUALITIES; MATRICES

10-1 Systems of Linear Equations

10-2 Solving Linear Systems Using Gauss-Jordan Elimination

10-3 Matrix Operations

10-4 Solving Linear Systems Using Inverse Matrices

10-5 Determinants and Cramer's Rule

Chapter 10 Group Activity: Modeling with Systems of Linear Equations

10-6 Systems of Nonlinear Equations

10-7 Systems of Linear Inequalities

10-8 Linear Programming

Chapter 10 Review

CHAPTER 11: SEQUENCES AND SERIES

11-1 Sequences and Series

11-2 Mathematical Induction

11-3 Arithmetic and Geometric Sequences

11-4 Counting Techniques: Multiplication Principle, Permutations, and Combinations

11-5 Sample Spaces and Probability

11-6 Binomial 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

12-1 Introduction to Limits

12-2 Computing Limits Algebraically

12-3 Limits at Infinity

12-4 The Derivative

12-5 Area and Calculus

Chapter 12 Group Activity: Derivatives of Exponential and Log Functions

Chapter 12 Review

APPENDIX A: SPECIAL TOPICS

A-1 Scientific Notation and Significant Digits

A-2 Partial Fractions

A-3 Parametric Equations

APPENDIX B

B-1 Geometric Formulas



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