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College Algebra and Trigonometry, Pearson New International Edition, 5th edition

Published by Pearson (August 29, 2013) © 2014

  • Mark Dugopolski Southeastern Louisiana University

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ISBN-13: 9781292036946
College Algebra and Trigonometry: A Unit Circle Approach
Published 2013

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ISBN-13: 9781292023816
College Algebra and Trigonometry: A Unit Circle Approach
Published 2013

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Dugopolski’s College Algebra and Trigonometry: A Unit Circle Approach, Fifth 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 enough carefully placed learning aids and review tools to help them do the math without getting distracted from their objectives. Regardless of their goals beyond the course, all students will benefit from Dugopolski’s emphasis on problem solving and critical thinking, which is enhanced by the addition of nearly 1,000 exercises in this edition.

Instructors will also find this book a pleasure to use, with the support of an Annotated Instructor’s Edition which maps each group of exercises back to each example within the section; pop quizzes for every section; and answers on the page for most exercises plus a complete answer section at the back of the text. An Insider’s Guide provides further strategies for successful teaching with Dugopolski.

1. Equations, Inequalities, and Modeling

1.1 Equations in One Variable

1.2 Constructing Models to Solve Problems

1.3 Equations and Graphs in Two Variables

1.4 Linear Equations in Two Variables

1.5 Scatter Diagrams and Curve Fitting

1.6 Quadratic Equations

1.7 Linear and Absolute Value Inequalities

   Chapter 1 Highlights

   Chapter 1 Review Exercises

   Chapter 1 Test

   Tying it all Together

 

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

   Chapter 2 Highlights

   Chapter 2 Review Exercises

   Chapter 2 Test

   Tying it all Together

 

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 Miscellaneous Equations

3.5 Graphs of Polynomial Functions

3.6 Rational Functions and Inequalities

   Chapter 3 Highlights

   Chapter 3 Review Exercises

   Chapter 3 Test

   Tying it all Together

 

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

   Chapter 4 Highlights

   Chapter 4 Review Exercises

   Chapter 4 Test

   Tying it all Together

 

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

   Chapter 5 Highlights

   Chapter 5 Review Exercises

   Chapter 5 Test

   Tying it all Together

 

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

   Chapter 6 Highlights

   Chapter 6 Review Exercises

   Chapter 6 Test

   Tying it all Together

 

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 Coordinates (Equations???)

7.7 Parametric Equations

   Chapter 7 Highlights

   Chapter 7 Review Exercises

   Chapter 7 Test

   Tying it all Together

 

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

   Chapter 8 Highlights

   Chapter 8 Review Exercises

   Chapter 8 Test

   Tying it all Together

 

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 S

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