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College Trigonometry, 6th Edition

Richard N. Aufmann, Vernon C. Barker, Richard D. Nation

  • Copyright 2008
  • {{checkPublicationMessage('Published', '2007-02-05T00:00:00+0000')}}
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College Trigonometry 6th Edition by Richard N. Aufmann/Vernon C. Barker/Richard D. Nation
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Overview

Accessible to students and flexible for instructors, College Trigonometry, Sixth Edition, uses the dynamic link between concepts and applications to bring mathematics to life. By incorporating interactive learning techniques, the Aufmann team helps students to better understand concepts, work independently, and obtain greater mathematical fluency. The text also includes technology features to accommodate courses that allow the option of using graphing calculators. Additional program components that support student success include Eduspace tutorial practice, online homework, SMARTHINKING Live Online Tutoring, and Instructional DVDs.The authors' proven Aufmann Interactive Method allows students to try a skill as it is presented in example form. This interaction between the examples and Try Exercises serves as a checkpoint to students as they read the textbook, do their homework, or study a section. In the Sixth Edition, Review Notes are featured more prominently throughout the text to help students recognize the key prerequisite skills needed to understand new concepts.

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Meet the Authors

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Richard N. Aufmann

Richard Aufmann is the lead author of two best-selling DEVELOPMENTAL MATH series and a best-selling COLLEGE ALGEBRA AND TRIGONOMETRY series, as well as several derivative math texts. Mr. Aufmann taught math, computer science and physics at Palomar College in California, where he was on the faculty for 28 years. His textbooks are highly recognized and respected among college mathematics professors. Today, Mr. Aufmann's professional interests include quantitative literacy, the developmental math curriculum and the impact of technology on curriculum development. He holds a Bachelor of Arts in Mathematics from the University of California, Irvine and a Master of Arts degree in Mathematics from California State University, Long Beach.

Vernon C. Barker

Vernon Barker has retired from Palomar College where he was Professor of Mathematics. He is a co-author on the majority of Aufmann texts, including the best-selling developmental paperback series.

Richard D. Nation

Richard Nation received a B.A. in mathematics from Morningside College and a M.S. degree in mathematics from the University of South Dakota. Mr. Nation also attended a National Science Foundation academic year institute in mathematics at San Diego State University. Mr. Nation taught math at Palomar College in California, where he was on the faculty for 20 years. He has over 38 years’ experience teaching mathematics at the high school and college levels. He is the co-author of several Aufmann titles. Today, Mr. Nation’s professional interests include the impact of technology on curriculum development and on the teaching of mathematics at the precalculus level.

Features

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  • Updated! End-of-chapter exercises--Assessing Concepts--have been revised to include more question types including fill-in-the-blank, multiple choice, and matching.
  • Revised! Prepare for This Section exercises, formerly Prepare for the Next Section, have been moved from the end of each chapter to the beginning of each chapter and afford students the opportunity to test their understanding of prerequisite skills about to be covered.
  • Applications require students to use problem-solving strategies and new skills to solve practical problems. Covering topics from many disciplines, including agriculture, business, chemistry, education, and sociology, these problems demonstrate to students the practicality and value of algebra.
  • Noted by a pie chart icon, Real Data examples and exercises require students to analyze and construct mathematical models from actual situations.
  • Appearing throughout the text, Integrating Technology notes offer relevant information about using graphing calculators as an alternative way to solve a problem. Step-by-step instructions allow students to use technology with confidence.
  • Exploring Concepts with Technology, an optional end-of-chapter feature, uses technology (graphing calculators, CAS, etc.) to explore ideas covered in the chapter. These investigations can be used in a variety of ways, such as group projects or extra-credit assignments. Together with Integrating Technology tips, this feature makes the text appropriate for courses that allow the use of graphing calculators.

Table of Contents

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Note: Each chapter ends with "Exploring Concepts with Technology," a Chapter Summary, Assessing Concepts, Review Exercises, "Quantitative Reasoning," a Chapter Test, and Cumulative Review Exercises.
1. Functions and Graphs
1.1 Equations and Inequalities
1.2 A Two-Dimensional Coordinate System and Graphs
1.3 Introduction to Functions
1.4 Properties of Graphs
1.5 The Algebra of Functions
1.6 Inverse Functions
1.7 Modeling Data Using Regression
2. Trigonometric Functions
2.1 Angles and Arcs
2.2 Right Angle Trigonometry
2.3 Trigonometric Functions of Any Angle
2.4 Trigonometric Functions of Real Numbers
2.5 Graphs of the Sine and Cosine Functions
2.6 Graphs of the Other Trigonometric Functions
2.7 Graphing Techniques
2.8 Harmonic Motion--An Application of the Sine and Cosine Functions
3. Trigonometric Identities and Equations
3.1 Verification of Trigonometric Identities
3.2 Sum, Difference, and Cofunction Identities
3.3 Double- and Half-Angle Identities
3.4 Identities Involving the Sum of Trigonometric Functions
3.5 Inverse Trigonometric Functions
3.6 Trigonometric Equations
4. Applications of Trigonometry
4.1 The Law of Sines
4.2 The Law of Cosines and Area
4.3 Vectors
5. Complex Numbers
5.1 Complex Numbers
5.2 Trigonometric Form of Complex Numbers
5.3 De Moivre's Theorem
6. Topics in Analytic Geometry
6.1 Parabolas
6.2 Ellipses
6.3 Hyperbolas
6.4 Rotation of Axes
6.5 Introduction to Polar Coordinates
6.6 Polar Equations of the Conics
6.7 Parametric Equations
7. Exponential and Logarithmic Functions
7.1 Exponential Functions and Their Applications
7.2 Logarithmic Functions and Their Applications
7.3 Properties of Logarithms and Logarithmic Scales
7.4 Exponential and Logarithmic Functions
7.5 Exponential Growth and Decay
7.6 Modeling Data with Exponential and Logarithmic Functions

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  • ISBN-10: 1133374565
  • ISBN-13: 9781133374565
  • RETAIL $77.95

  • ISBN-10: 061882507X
  • ISBN-13: 9780618825073
  • RETAIL $237.95
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