College Trigonometry by Aufmann, Richard N.|Barker, Vernon C.|Nation, Richard…

Description: About this productProduct InformationThis text provides a supportive environment to help students successfully learn the content of a standard trigonometry course. By incorporating interactive learning techniques, the Aufmann team helps students to better understand concepts, focus their studying habits, and obtain greater mathematical success.Prerequisite review is included in the textbook (and supporting materials) so that instructors can spend less time covering review material and students can still fill in the gaps in their mathematical knowledge."Integrated Review Notes" provided next to examples throughout the text help students see the key prerequisite skills used within the example. For added convenience, these example-specific notes direct students to the page(s) where they can practice and review skills."Prepare for the Next Section Exercises," found at the end of the exercise sets, have been carefully selected to review the prerequisite skills students will need in the next section. Next to each exercise is a reference to a section of the text where students can go to review topics they don't understand.To create a link between the algebraic and visual representations of a solution, increase students' understanding of the concept presented, and accommodate different learning styles, the authors have provided "both an algebraic solution and a graphical solution" (represented by either a coordinate grid graph or a graphing calculator screen) for appropriate examples."Focus on Problem Solving" at the beginning of every chapter reviews and demonstrates various strategies used by successful problem-solvers.Special modeling sections throughout the text, which rely heavily on the graphing calculator, provide anopportunity to motivate students with relevant, modern applications. These special sections introduce the idea of mathematical modeling of data through linear, quadratic, exponential, logarithmic, and logistic regression. Students are often required to work with tables, graphs, and charts using data drawn from a variety of disciplines.Rich exercise sets and applications offer instructors a wide range of options when assigning homework, including many that involve real data. When appropriate, the end of a section presents applications that require students to use problem-solving strategies along with the skills covered in that section to solve practical problems. Exercises encourage problem solving, skill building, group work, writing, and appropriate use of graphing calculators."Connecting Concepts" exercises found in every exercise set extend some of the concepts discussed in the section and require students to connect ideas studied earlier with new concepts. These more involved, multi-step exercises help students practice problems involving multiple concepts, similar to those found on many exams.Product IdentifiersPublisherCengage LearningISBN-100618388044ISBN-139780618388042eBay Product ID (ePID)43122686Product Key FeaturesFormatHardcoverPublication Year2004AuthorVernon C. Barker, Richard D. Nation, Richard N. AufmannLanguageEnglishDimensionsWeight51.3 OzWidth9.1in.Height1.2in.Length10.6in.Additional Product FeaturesDewey Edition22Table of ContentContents Note: Each chapter concludes with a Summary, True/False Exercises, Review Exercises, and a Test. Chapters 2–7 include Cumulative Review Exercises. 1. Functions and Graphs Section 1.1 Equations and Inequalities Section 1.2 A Two-Dimensional Coordinate System and Graphs Section 1.3 Introduction to Functions Section 1.4 Properties of Graphs Section 1.5 The Algebra of Functions Section 1.6 Inverse Functions Section 1.7 Modeling Data Using Regression Exploring Concepts with Technology: Graphing Piecewise Functions with a Graphing Calculator 2. Trigonometric Functions Section 2.1 Angles and Arcs Section 2.2 Trigonometric Functions of Acute Angles Section 2.3 Trigonometric Functions of Any Angle Section 2.4 Trigonometric Functions of Real Numbers Section 2.5 Graphs of the Sine and Cosine Functions Section 2.6 Graphs of the Other Trigonometric Functions Section 2.7 Graphing Techniques Section 2.8 Harmonic Motion—An Application of the Sine and Cosine Functions Exploring Concepts with Technology: Sinusoidal Families 3. Trigonometric Identities and Equations Section 3.1 Verification of Trigonometric Identities Section 3.2 Sum, Difference, and Cofunction Identities Section 3.3 Double- and Half-Angle Identities Section 3.4 Identities Involving the Sum of Trigonometric Functions Section 3.5 Inverse Trigonometric Functions Section 3.6 Trigonometric Equations Exploring Concepts with Technology: Approximate an Inverse Trigonometric Function with Polynomials 4. Applications of Trigonometry Section 4.1 The Law of Sines Section 4.2 The Law of Cosines and Area Section 4.3 Vectors Exploring Concepts with Technology: Optimal Branching of Arteries 5. Complex Numbers Section 5.1 Complex Numbers Section 5.2 Trigonometric Form of Complex Numbers Section 5.3 De Moivre's Theorem Exploring Concepts with Technology: The Mandelbrot Replacement Procedure 6. Topics in Analytic Geometry Section 6.1 Parabolas Section 6.2 Ellipses Section 6.3 Hyperbolas Section 6.4 Rotation of Axes Section 6.5 Introduction to Polar Coordinates Section 6.6 Polar Equations of the Conics Section 6.7 Parametric Equations Exploring Concepts with Technology: Using a Graphing Calculator to Find the nth Roots of z 7. Exponential and Logarithmic Functions Section 7.1 Exponential Functions and Their Applications Section 7.2 Logarithmic Functions and Their Applications Section 7.3 Logarithms and Logarithmic Scales Section 7.4 Exponential and Logarithmic Equations Section 7.5 Exponential Growth and Decay Section 7.6 Modeling Data with Exponential and Logarithmic Functions Exploring Concepts with Technology: Using a Semilog Graph to Model Exponential Decay Solutions to the Try Exercises Answers to Selected Exercises Index

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