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College Trigonometry

by: Richard N. Aufmann; Vernon C. Barker; Richard D. Nation

ISBN: 9780618825073 | 061882507X

Edition: 6th
Format: Nonspecific Binding
Publisher: THOMPSON LEARNING
Pub. Date: 3/1/2007

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Summary Table of Contents

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 tut... MOREorial 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."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."New!" "Calculus Connection" icons have been added to indicate topics that will be revisited in subsequent courses, laying the groundwork for further study."New!" AQuantitative Reasoning feature demonstrates math solutions to real-world problems and is compliant with MAA Guidelines and AMATYC 2006 Crossroads Revisited."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.

Functions and Graphs
Equations and Inequalities
A Two-Dimensional Coordinate System and Graphs
Introduction to Functions
Properties of Graphs
The Algebra of Functions
Inverse Functions
Modeling Data Using Regression
Trigonometric Functions
Angles and Arcs
Right Angle Trigono... MOREmetry
Trigonometric Functions of Any Angle
Trigonometric Functions of Real Numbers
Graphs of the Sine and Cosine Functions
Graphs of the Other Trigonometric Functions
Graphing Techniques
Harmonic Motion--An Application of the Sine and Cosine Functions
Trigonometric Identities and Equations
Verification of Trigonometric Identities
Sum, Difference, and Cofunction Identities
Double- and Half-Angle Identities
Identities Involving the Sum of Trigonometric Functions
Inverse Trigonometric Functions
Trigonometric Equations
Applications of Trigonometry
The Law of Sines
The Law of Cosines and Area
Vectors
Complex Numbers
Complex Numbers
Trigonometric Form of Complex Numbers
De Moivre's Theorem
Topics in Analytic Geometry
Parabolas
Ellipses
Hyperbolas
Rotation of Axes
Introduction to Polar Coordinates
Polar Equations of the Conics
Parametric Equations
Exponential and Logarithmic Functions
Exponential Functions and Their Applications
Logarithmic Functions and Their Applications
Properties of Logarithms and Logarithmic Scales
Exponential and Logarithmic Functions
Exponential Growth and Decay
Modeling Data with Exponential and Logarithmic Functions
Table of Contents provided by Publisher. All Rights Reserved.

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College Trigonometry

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