Product Cover Image

College Algebra and Trigonometry: A Unit Circle Approach, CourseSmart eTextbook, 6th Edition

By Mark Dugopolski

Published by Pearson

Published Date: Jan 22, 2014

Description

The Right Tools for Success

 

With an emphasis on problem solving and critical thinking, Dugopolski’s College Algebra and Trigonometry: A Unit Circle Approach, Sixth Edition gives students the essential strategies to help them develop the comprehension and confidence they need to be successful in this course. Students will find carefully placed learning aids and review tools to help them do the math.

 


Table of Contents

P. Prerequisites

P.1 Real Numbers and Their Properties

P.2 Integral Exponents and Scientific Notation

P.3 Rational Exponents and Radicals

P.4 Polynomials

P.5 Factoring Polynomials

P.6 Rational Expressions

P.7 Complex Numbers

 

1. Equations, Inequalities, and Modeling

1.1 Linear, Rational, and Absolute Value Equations

1.2 Constructing Models to Solve Problems

1.3 Equations and Graphs in Two Variables

1.4 Linear Equations in Two Variables

1.5 Quadratic Equations

1.6 Miscellaneous Equations

1.7 Linear and Absolute Value Inequalities

 

2. Functions and Graphs

2.1 Functions

2.2 Graphs of Relations and Functions

2.3 Families of Functions, Transformations, and Symmetry

2.4 Operations with Functions

2.5 Inverse Functions

2.6 Constructing Functions with Variation

 

3. Polynomial and Rational Functions

3.1 Quadratic Functions and Inequalities

3.2 Zeros of Polynomial Functions

3.3 The Theory of Equations

3.4 Graphs of Polynomial Functions

3.5 Rational Functions and Inequalities

 

4. Exponential and Logarithmic Functions

4.1 Exponential Functions and Their Applications

4.2 Logarithmic Functions and Their Applications

4.3 Rules of Logarithms

4.4 More Equations and Applications

 

5. The Trigonometric Functions

5.1 Angles and Their Measurements

5.2 The Sine and Cosine Functions

5.3 The Graphs of the Sine and Cosine Functions

5.4 The Other Trigonometric Functions and Their Graphs

5.5 The Inverse Trigonometric Functions

5.6 Right Triangle Trigonometry

 

6. Trigonometric Identities and Conditional Equations

6.1 Basic Identities

6.2 Verifying Identities

6.3 Sum and Difference Identities

6.4 Double-Angle and Half-Angle Identities

6.5 Product and Sum Identities

6.6 Conditional Trigonometric Equations

 

7. Applications of Trigonometry

7.1 The Law of Sines

7.2 The Law of Cosines

7.3 Vectors

7.4 Trigonometric Form of Complex Numbers

7.5 Powers and Roots of Complex Numbers

7.6 Polar Equations

7.7 Parametric Equations

 

8. Systems of Equations and Inequalities

8.1 Systems of Linear Equations in Two Variables

8.2 Systems of Linear Equations in Three Variables

8.3 Nonlinear Systems of Equations

8.4 Partial Fractions

8.5 Inequalities and Systems of Inequalities in Two Variables

8.6 The Linear Programming Model

 

9. Matrices and Determinants

9.1 Solving Linear Systems Using Matrices

9.2 Operations with Matrices

9.3 Multiplication of Matrices

9.4 Inverses of Matrices

9.5 Solution of Linear Systems in Two Variables Using Determinants

9.6 Solution of Linear Systems in Three Variables Using Determinants

 

10. The Conic Sections

10.1 The Parabola

10.2 The Ellipse and the Circle

10.3 The Hyperbola

 

11. Sequences, Series, and Probability

11.1 Sequences and Arithmetic Sequences

11.2 Series and Arithmetic Series

11.3 Geometric Sequences and Series

11.4 Counting and Permutations

11.5 Combinations, Labeling, and the Binomial Theorem

11.6 Probability

11.7 Mathematical Induction

 

Purchase Info ?

With CourseSmart eTextbooks and eResources, you save up to 60% off the price of new print textbooks, and can switch between studying online or offline to suit your needs.

Once you have purchased your eTextbooks and added them to your CourseSmart bookshelf, you can access them anytime, anywhere.

Buy Access

College Algebra and Trigonometry: A Unit Circle Approach, CourseSmart eTextbook, 6th Edition
Format: Safari Book

$97.99 | ISBN-13: 978-0-321-91651-8