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College Algebra With Trigonometry - Text Only

College Algebra With Trigonometry - Text Only - 7th edition

ISBN13: 978-0072368697

Cover of College Algebra With Trigonometry - Text Only 7TH 01 (ISBN 978-0072368697)
ISBN13: 978-0072368697
ISBN10: 0072368691
Cover type:
Edition/Copyright: 7TH 01
Publisher: McGraw-Hill Publishing Company
Published: 2001
International: No

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College Algebra With Trigonometry - Text Only - 7TH 01 edition

ISBN13: 978-0072368697

Raymond A. Barnett, Michael R. Ziegler and Karl Byleen

ISBN13: 978-0072368697
ISBN10: 0072368691
Cover type:
Edition/Copyright: 7TH 01
Publisher: McGraw-Hill Publishing Company

Published: 2001
International: No
Summary

This text takes a right angle approach to trigonometry and is designed for use in a one or two term course in college algebra with trigonometry or precalculus. College Algebra with Trigonometry 6/E has been written to maximize student comprehension and great care has been taken to produce a text that is mathematically correct and accessible to students. Emphasis is on computational skills, ideas, and problem solving rather than mathematical theory. Most derivations and proofs are omitted except where their inclusion adds significant insight into a particular concept. General concepts and results are usually presented only after particular cases have been discussed. The single most crucial topic is function. The function concept is introduced and developed from several points of view and is substantially motivated through many illustrations and examples. One of the primary objectives of this book is to give the student substantial experience in modeling and solving real world problems. Enough applications are included to convince even the most skeptical student that mathematics really is useful.

Author Bio

Barnett, Raymond A. : Merritt College

Ziegler, Michael R. : Marquette University

Byleen, Karl E. : Marquette University

Table of Contents

1 Basic Algebraic Equations

1-1 Algebra & Real Numbers
1-2 Polynomials: Basic Operations
1-3 Polynomials: Factoring
1-4 Rational Expressions: Basic Operations
1-5 Integer Exponents
1-6 Rational Exponents
1-7 Radicals
Chapter 1 Review

2 Equations and Inequalities

2-1 Linear Equations & Applications
2-2 Systems of Linear Equations & Applications
2-3 Linear Inequalities
2-4 Absolute Value in Equations and Inequalities
2-5 Complex Numbers
2-6 Quadratic Equations & Applications
2-7 Equations Reducible to Quadratic Form
2-8 Polynomial & Rational Inequalities
Chapter 2 Review
1&2 Cumulative Review Exercises

3 Graphs and Functions

3-1 Basic Tools: Circles
3-2 Straight Lines
3-3 Functions
3-4 Graphing Functions
3-5 Operations on Functions: Composition
3-6 Inverse Functions
Chapter 3 Review

4 Polynomial and Rational Functions

4-1 Graphing Polynomials
4-2 Zeros of Polynomials
4-3 Graphing Rational Functions
4-4 Partial Functions
Chapter 4 Review

5 Exponential and Logarithmic Functions

5-1 Exponential Functions
5-2 The Exponential Function With Base e
5-3 Logarithmic Functions
5-4 Common and Natural Logarithmic Functions
5-5 Exponential & Logarithmic Equations
Chapter 5 Review
Cumulative Review Exercise (chapter 3-5)

6 Trigonometric Functions

6-1 Angles and Their Measure
6-2 Trigonometric Functions--Acute Angle Domains
6-3 Trigonometric Functions--General Angle and Real Number
6-4 Exact Values for Special Angles and Real Numbers
6-5 Circular Functions
6-6 Graphing Basic Trigonometric Functions
6-7 Graphing y= k + A sin(Bx+C) and y= k + A cos(Bx + C)
6-8 Graphing More General Tangent, Cotangent, Secant and Cosecant Functions
6-9 Inverse Trigonometric Functions

Chapter 6 Review

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

8 Additional Topics in Trigonometry

8-1 Law of Sines
8-2 Law of Cosines
8-3 Geometric Vectors
8-4 Algebraic Vectors
8-5 Polar Coordinates and Graphs
8-6 Complex Numbers in Rectangular and Polar Forms
8-7 De Moivre's Theorem
Chapter 8 Review
Cumulative Review Exercises (Chapters 6-8)

9 Systems of Equations and Inequalities

9-1 Systems of Linear Equations and Augmented Matrices
9-2 Gauss-Jordan Elimination
9-3 Systems Involving Second-Degree Equations
9-4 Systems of Linear Inequalities in Two Variables
9-5 Linear Programming
Chapter 9 Review

10 Matrices and Determinants

10-1 Matrices: Basic Operations
10-2 Inverse of a Square Mix
10-3 Matrix Equations and Systems of Linear Equations
10-4 Determinants
10-5 Properties of Determinants
10-6 Cramer's Rule
Chapter 10 Review
Cumulative Review Exercise (Chapters 9 and 10)

11 Sequences and Series

11-1 Sequences and Series
11-2 Mathematical Induction
11-3 Arithmetic & Geometric Sequences
11-4 Binomial Formula
11-5 Multiplication Principles, Permutations, and Combinations
Chapter 11 Review

12 Additional Topics in Analytic Geometry

12-1 Conic Sections: Parabola
12-2 Ellipse
12-3 Hyperbola
12-4 Translation of Axes
12-5 Parametric Equations
Chapter 12 Review

Appendix A: Significant Digits
Appendix B: Geometric Formulas

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Cover of College Algebra with Trigonometry 8th edition

College Algebra with Trigonometry - 8th edition

ISBN13: 978-0073312644
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