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Precalculus - 6th edition

Precalculus - 6th edition

ISBN13: 9780073312637

ISBN10: 0073312630

Precalculus by Raymond A. Barnett, Michael R. Ziegler and Karl E. Byleen - ISBN 9780073312637
Edition: 6TH 08
Copyright: 2008
Publisher: McGraw-Hill Publishing Company
International: No
Precalculus by Raymond A. Barnett, Michael R. Ziegler and Karl E. Byleen - ISBN 9780073312637

ISBN13: 9780073312637

ISBN10: 0073312630

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New Features

  • Preview of Calculus: This precalculus text includes a further focus on those skills considered prerequisite for calculus. Foundations of Calculus icons are included throughout identifying key examples and exercises needed to build this skill set. A review chapter summarizing these skills will round out the text.
  • Objective Based Learning: Introductory section objectives have been expanded to include the "what and why" of the objectives, followed by icons within the text identifying the specific areas of focus. A summary of chapter objectives will now be featured in the chapter summary material.
  • Mathematical Modeling and Data Analysis: A focus on mathematical modeling and data analysis, specifically establishing a step by step process for understanding word problems and gathering the data from said problems.

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 Group Activity: Rational Number Representations

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 Review
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 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 Combining Functions; Composition
3-6 Inverse Functions
Chapter 3 Review
Chapter 3 Group Activity: Mathematical Modeling: Choosing a Long-Distance Calling Plan
Chapters 1-3 Cumulative Review Exercises

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 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 Group Activity: Growth of Increasing Functions
Chapters 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 Review
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 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 Group Activity: Conic Sections and Planetary Orbits
Chapters 6-8 Cumulative Review Exercises

Chapter 9: Additional Topics in Analytic Geometry

9-1 Conic Sections; Parabolas
9-2 Ellipses
9-3 Hyperbolas
9-4 Rotation of Axes
Chapter 9 Review
Chapter 9 Group Activity: Focal Chords

Chapter 10: Systems of Equations and Inequalities; Matrices

10-1 Systems of Linear Equations: Graphing and Substitution
10-2 Systems of Linear Equations: Elimination
10-3 Systems of Linear Equations: Gauss-Jordan Elimination
10-4 Matrices: Basic 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 Group Activity: Modeling With Systems of Linear Equations

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 Review
Chapter 11 Group Activity: Sequences Specified by Recursion Formulas
Chapters 9-11 Cumulative Review Exercises

Appendix A: Special Topics

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

Appendix B: Geometric Formulas