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Precalculus : With Limits

Precalculus : With Limits - 6th edition

Precalculus : With Limits - 6th edition

ISBN13: 9780073365800

ISBN10: 0073365807

Precalculus : With Limits by Raymond A. Barnett, Michael R. Ziegler and Karl E. Byleen - ISBN 9780073365800
Edition: 6TH 08
Copyright: 2008
Publisher: McGraw-Hill Publishing Company
International: No
Precalculus : With Limits by Raymond A. Barnett, Michael R. Ziegler and Karl E. Byleen - ISBN 9780073365800

ISBN13: 9780073365800

ISBN10: 0073365807

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The Barnett, Ziegler, Byleen College Algebra series is designed to be user friendly and to maximize student comprehension, emphasizing computational skills, ideas, and problem solving as opposed to mathematical theory. Suitable for a one or two semester college algebra with trigonometry or precalculus course, Precalculus with Limits 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

Table of Contents

Chapter R: Basic Algebraic Operations

R-1 Algebra and Real Numbers
R-2 Exponents
R-3 Radicals
R-4 Polynomials: Basic Operations
R-5 Polynomials: Factoring
R-6 Rational Expressions: Basic Operations
Chapter R Review
Chapter R Review Exercises
Chapter R Group Activity: Rational and Irrational Numbers

Chapter 1: Equations and Inequalities

1-1 Linear Equations and Applications
1-2 Linear Inequalities
1-3 Absolute Value in Equations and Inequalities
1-4 Complex Numbers
1-5 Quadratic Equations and Applications
1-6 Additional Equation-Solving Techniques
Chapter 1 Review
Chapter 1 Review Exercises
Chapter 1 Group Activity: Solving a Cubic Equation

Chapter 2: Graphs

2-1 Cartesian Coordinate System
2-2 Distance in the Plane
2-3 Equations of a Line
2-4 Linear Equations and Models
Chapter 2 Review
Chapter 2 Review Exercises
Chapter 2 Group Activity: Rates of Change

Chapter 3: Functions

3-1 Functions
3-2 Graphing Functions
3-3 Transformations of Functions
3-4 Quadratic Functions
3-5 Operations on Functions; Composition
3-6 Inverse Functions
Chapter 3 Review
Chapter 3 Review Exercises
Chapter 3 Group Activity: Mathematical Modeling: Choosing a Long-Distance Calling Plan
Cumulative Review Exercises Chapters 1-3

Chapter 4: Polynomials 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 Review
Chapter 4 Review Exercises
Chapter 4 Group Activity: Interpolating Polynomials

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 Review
Chapter 5 Review Exercises
Chapter 5 Group Activity: Comparing Regression Models
Cumulative Review Exercises Chapters 4-5

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 Properties of Trigonometric Functions
6-5 More General Trigonometric Functions and Models
6-6 Inverse Trigonometric Functions
Chapter 6 Review
Chapter 6 Review Exercises
Chapter 6 Group Activity: A Predator-Prey Analysis Involving Mountain Lions and Deer

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 Review
Chapter 7 Review Exercises
Chapter 7 Group Activity: From M sin Bt + N cos Bt to A sin (Bt + C): A Harmonic Analysis Tool

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 Review
Chapter 8 Review Exercises
Chapter 8 Group Activity: Conic Sections and Planetary Orbits
Cumulative Review Exercises Chapters 6-8

Chapter 9: Additional Topics in Analytic Geometry

9-1 Conic Sections; Parabolas
9-2 Ellipse
9-3 Hyperbola
9-4 Translation and Rotation of Axes
Chapter 9 Review
Chapter 9 Review Exercises
Chapter 9 Group Activity: Focal Chords

Chapter 10: Systems of Equations and Inequalities; Matrices

10-1 Systems of Linear Equations in Two Variables
10-2 Systems of Linear Equations in Three Variables
10-3 Systems of Linear Equations: Gauss-Jordan Elimination
10-4 Matrix Operations
10-5 Systems of Linear Equations: Matrix Inverse Methods
10-6 Systems of Nonlinear Equations
10-7 Systems of Linear Inequalities in Two Variables
10-8 Linear Programming
Chapter 10 Review
Chapter 10 Review Exercises
Chapter 10 Group Activity: Modeling With Systems of Linear Equations

Chapter 11: Sequences, Induction, and Probability

11-1 Sequences and Series
11-2 Mathematical Induction
11-3 Arithmetic and Geometric Sequences
11-4 Multiplication Principle, Permutations, and Combinations
11-5 Sample Spaces and Probability
11-6 Binomial Formula
Chapter 11 Review
Chapter 11 Review Exercises
Chapter 11 Group Activity: Sequences Specified by Recursion Formulas
Cumulative Review Exercises Chapters 9-11

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 Review
Chapter 12 Review Exercises
Chapter 12 Group Activity: Derivatives of Exponential and Log Functions

Appendix A: Special Topics

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

Appendix B: Geometric Formulas

Student Answers
Subject Index