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College Algebra with Trigonometry

College Algebra with Trigonometry - 8th edition

ISBN13: 978-0072867404

Cover of College Algebra with Trigonometry 8TH 08 (ISBN 978-0072867404)
ISBN13: 978-0072867404
ISBN10: 007286740X
Cover type:
Edition/Copyright: 8TH 08
Publisher: McGraw-Hill Publishing Company
Published: 2007
International: No

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College Algebra with Trigonometry - 8TH 08 edition

ISBN13: 978-0072867404

Raymond Barnett, Michael Ziegler and Karl Byleen

ISBN13: 978-0072867404
ISBN10: 007286740X
Cover type:
Edition/Copyright: 8TH 08
Publisher: McGraw-Hill Publishing Company

Published: 2007
International: No
Summary

New Features

  • 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.
  • 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.
  • Graphical Interpretation: Throughout both examples and exercises, this feature focuses on the importance of learning to read and extract data from a given graph. This is developed by first presenting a graph and using a problem solving approach to read said graph. This focus aids in conceptualizing functions and building mathematical models. Throughout both examples and exercises, this feature focuses on the importance of learning to read and extract data from a given graph. This is developed by first presenting a graph and using a problem solving approach to read said graph. This focus aids in conceptualizing functions and building mathematical models.

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 Right-Triangle Trigonometry
6-3 Trigonometric Functions: A Unit Circle Approach
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

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