College Trigonometry

Name: College Trigonometry
Price: 6.41 USD
Availability: InStock
ISBN: 9780618388042

ISBN-10: 0618388044

ISBN-13: 9780618388042

Edition: 5th 2005

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

List price: $283.95

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Description:

This 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.

Book details

List price: $283.95
Edition: 5th
Copyright year: 2005
Publisher: CENGAGE Learning
Publication date: 4/2/2004
Binding: Hardcover
Pages: 624
Size: 8.50" wide x 10.00" long x 1.00" tall
Weight: 3.080
Language: English

Richard Nation is Professor of Mathematics at Palomar College. He is the co-author of several Aufmann titles.

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.



Note: Each chapter concludes with a Summary, True/False Exercises, Review Exercises, and a Test. Chapters 27 include Cumulative Review Exercises



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


Exploring Concepts with Technology: Graphing Piecewise Functions with a Graphing Calculator



Trigonometric Functions



Angles and Arcs



Trigonometric Functions of Acute Angles



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


Exploring Concepts with Technology: Sinusoidal Families



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


Exploring Concepts with Technology: Approximate an Inverse Trigonometric Function with Polynomials



Applications of Trigonometry



The Law of Sines



The Law of Cosines and Area



Vectors


Exploring Concepts with Technology: Optimal Branching of Arteries



Complex Numbers



Complex Numbers



Trigonometric Form of Complex Numbers



De Moivre's Theorem


Exploring Concepts with Technology: The Mandelbrot Replacement Procedure



Topics in Analytic Geometry



Parabolas



Ellipses



Hyperbolas



Rotation of Axes



Introduction to Polar Coordinates



Polar Equations of the Conics



Parametric Equations


Exploring Concepts with Technology: Using a Graphing Calculator to Find the nth Roots of z



Exponential and Logarithmic Functions



Exponential Functions and Their Applications



Logarithmic Functions and Their Applications



Logarithms and Logarithmic Scales



Exponential and Logarithmic Equations



Exponential Growth and Decay



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