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Original Essays | November 5, 2009

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College Algebra with Trigonometry with Smart CD (Windows) with CDROM

College Algebra with Trigonometry with Smart CD (Windows) with CDROM Cover

Synopses & Reviews

Publisher Comments:

The Barnett, Ziegler, Byleen College Algebra/Precalculus series is designed to be user friendly and to maximize student comprehension. The goal of this series is to emphasize computational skills, ideas, and problem solving rather than mathematical theory. College Algebra with Trigonometry, 7/e, introduces a right triangle approach to trigonometry and can be used in one or two semester college algebra with trigonometry or precalculus courses. The large number of pedagogical devices employed in this text will guide a student through the course. Integrated throughout the text, the 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 that is being taught. In addition, the text contains an abundance of exercises and applications that will convince students that math is useful. A Smart CD is packaged with the seventh edition of the book. This CD tutorial reinforces important concepts, and provides students with extra practice problems.

Book News Annotation:

New edition of a text in which Barnett (author and former professor), Michael R. Ziegler and Karl E. Byleen (both professors in the mathematics, statistics, and computer science department at Marquette U.) emphasize problem solving, ideas and computational skills rather than mathematical theory. The 12 chapters omit most derivations and proofs unless their inclusion would add significant insight into a particular concept. They present concrete examples first, followed by a discussion of related general concepts and results. The included CD-ROM contains a student tutorial with extended real-world application videos, descriptive discussion, interactive diagrams, and matched problems.
Annotation c. Book News, Inc., Portland, OR (booknews.com)

Table of Contents

Preface

Chapter Dependencies

To the Student

1 Basic Algebraic Operations

1-1 AlgebraandReal 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 EquationsandApplications

2-2 Systems of Linear EquationsandApplications

2-3 Linear Inequalities

2-4 Absolute Value in Equations and Inequalities

2-5 Complex Numbers

2-6 Quadratic EquationsandApplications

2-7 Equations Reducible to Quadratic Form

2-8 PolynomialandRational 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 ExponentialandLogarithmic 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 ArithmeticandGeometric 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

Product Details

ISBN:
9780072412185
Subtitle:
Windows [With CDROM]
Publisher:
McGraw-Hill Science/Engineering/Math
Author:
Barnett, Raymond A.
Author:
Barnett, Raymond
Author:
Ziegler, Michael
Author:
Byleen, Karl E.
Author:
Byleen, Karl
Author:
Ziegler, Michael R.
Subject:
Pre-Calculus
Subject:
Algebra - General
Subject:
Trigonometry
Subject:
Trigonometry,Package College Algebra,Inequalities,Rational Functions,Graphs,Basic Algebraic Operations,Student,Dependencies,Preface,Mandatory Package College,Logarithmic Functions,Analytic Geometry
Copyright:
Edition Number:
7
Publication Date:
July 2000
Binding:
Hardcover
Grade Level:
College/higher education:
Language:
English
Pages:
909
Dimensions:
10.28x8.26x1.39 in. 4.51 lbs.
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