College Algebra and Trigonometry: A Unit Circle Approach / Edition 5

Overview

With an emphasis on problem solving and critical thinking, Mark 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.

Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content. MyMathLab is not a self-paced technology and should only be purchased when required by an instructor. If you would like to purchase both the physical text and MyMathLab, search for:

0321916492 / 9780321916495 College Algebra and Trigonometry: A Unit Approach Plus NEW MyMathLab with Pearson eText -- Access Card Package

Package consists of:

0321431308 / 9780321431301 MyMathLab -- Glue-in Access Card

0321654064 / 9780321654069 MyMathLab Inside Star Sticker

0321916522 / 9780321916525 College Algebra and Trigonometry: A Unit Circle Approach

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Editorial Reviews

Booknews
After reviewing briefly the history of the discovery and use of mineral in New Mexico, lists minerals alphabetically from acanthite, an important silver ore, to zircon, usually found microscopically in ancient and modern sediments. The articles describe the appearance, give its chemical makeup, record its place of occurrence, and refer to information sources. The back matter includes an annotated list of the state's 172 mining districts, a list of counties with the minerals found in them, and an extensive and updated bibliography. Very thoroughly cross- referenced. No index. Previously published in 1944 and 1959. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9780321764744
  • Publisher: Pearson Education
  • Publication date: 11/23/2012
  • Sold by: Barnes & Noble
  • Format: eTextbook
  • Edition number: 5
  • Pages: 992
  • File size: 26 MB
  • Note: This product may take a few minutes to download.

Meet the Author

Mark Dugopolski was born in Menominee, Michigan. After receiving a BS from Michigan State University, he taught high school in Illinois for four years. He received an MS in mathematics from Northern Illinois University at DeKalb. He then received a PhD in the area of topology and an MS in statistics from the University of Illinois at Champaign—Urbana. Mark taught mathematics at Southeastern Louisiana University in Hammond for twenty-five years and now holds the rank of Professor Emeritus of Mathematics. He has been writing textbooks since 1988. He is married and has two daughters. In his spare time he enjoys tennis, jogging, bicycling, fishing, kayaking, gardening, bridge, and motorcycling.

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Table of Contents

P. Prerequisites.
Real Numbers and Their Properties.
Integral Exponents and Scientific Notation.
Rational Exponents and Radicals.
Polynomials.
Factoring Polynomials.
Rational Expressions.

1. Equations, Inequalities, and Modeling.
Equations in One Variable.
Constructing Models to Solve Problems.
Equations and Graphs in Two Variables.
Linear Equations in Two Variables.
Scatter Diagrams and Curve Fitting.
Quadratic Equations.
Linear and Absolute Value Inequalities.

2. Functions and Graphs.
Functions.
Graphs of Relations and Functions.
Families of Functions, Transformations, and Symmetry.
Operations with Functions.
Inverse Functions.
Constructing Functions with Variation.

3. Polynomial and Rational Functions.
Quadratic Functions and Inequalities.
Complex Numbers.
Zeros of Polynomial Functions.
The Theory of Equations.
Miscellaneous Equations.
Graphs of Polynomial Functions.
Rational Functions and Inequalities.

4. Exponential and Logarithmic Functions.
Exponential Functions and Their Applications.
Logarithmic Functions and Their Applications.
Rules of Logarithms.
More Equations and Applications.

5. The Trigonometric Functions.
Angles and Their Measurements.
The Sine and Cosine Functions.
The Graphs of the Sine and Cosine Functions.
The Other Trigonometric Functions and Their Graphs.
The Inverse Trigonometric Functions.
Right Triangle Trigonometry.

6. Trigonometric Identities and Conditional Equations.
Basic Identities.
Verifying Identities.
Sum and Difference Identities.
Double-Angle and Half-Angle Identities.
Product and SumIdentities.
Conditional Trigonometric Equations.

7. Applications of Trigonometry.
The Law of Sines.
The Law of Cosines.
Vectors.
Trigonometric Form of Complex Numbers.
Powers and Roots of Complex Numbers.
Polar Equations.
Parametric Equations.

8. Systems of Equations and Inequalities.
Systems of Linear Equations in Two Variables.
Systems of Linear Equations in Three Variables.
Nonlinear Systems of Equations.
Partial Fractions.
Inequalities and Systems of Inequalities in Two Variables.
The Linear Programming Model.

9. Matrices and Determinants.
Solving Linear Systems Using Matrices.
Operations with Matrices.
Multiplication of Matrices.
Inverses of Matrices.
Solution of Linear Systems in Two Variables Using Determinants.
Solution of Linear Systems in Three Variables Using Determinants.

10. The Conic Sections.
The Parabola.
The Ellipse and the Circle.
The Hyperbola.

11. Sequences, Series, and Probability.
Sequences.
Series.
Geometric Sequences and Series.
Counting and Permutations.
Combinations, Labeling, and the Binomial Theorem.
Probability.
Mathematical Induction.
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