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College Algebra and Trigonometry 7th Edition

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

  • Published
  • Previous Editions 2008
  • 1080 Pages
Starting At 47.00 See pricing and ISBN options

Overview

Accessible to students and flexible for instructors, COLLEGE ALGEBRA AND TRIGONOMETRY, Seventh 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. 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 Seventh Edition, Review Notes are featured more prominently throughout the text to help students recognize the key prerequisite skills needed to understand new concepts.

Richard N. Aufmann, Palomar College

Richard Aufmann is the lead author of two bestselling developmental math series and a bestselling college algebra and trigonometry series, as well as several derivative math texts. He received a BA in mathematics from the University of California, Irvine, and an MA in mathematics from California State University, Long Beach. 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.

Vernon C. Barker, Palomar College

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, Palomar College

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.
  • Mid-Chapter Quizzes New to this edition, these quizzes help you assess your understanding of the concepts studied earlier in the chapter. The answers for all exercises in the Mid-Chapter Quizzes are provided in the Answers to Selected Exercises appendix, page XX, along with a reference to the section in which a particular concept was presented.
  • Chapter Test Preps The Chapter Test Preps summarize the major concepts discussed in each chapter. These Test Preps help you prepare for a chapter test. For each concept there is a reference to a worked example illustrating the concept and at least one exercise in the Chapter Review Exercise Set relating to that concept.
  • Visualize the Solution When appropriate, both algebraic and graphical solutions are provided to help you visualize the mathematics of the example and to create a link between the algebraic and visual components of a solution.
  • Exploring Concepts with Technology The optional Exploring Concepts with Technology feature appears after the last section in each chapter and provides you the opportunity to use calculators or computers to solve computationally difficult problems. In addition, you are challenged to think about pitfalls that can be produced when using technology to solve mathematical problems.
  • Integrating Technology Integrating Technology boxes show how technology can be used to illustrate concepts and solve many mathematical problems. Examples and exercises that require a calculator or a computer to find a solution are identified by the graphing calculator icon.
  • Modeling sections and exercises rely on the use of a graphing calculator or a computer. These optional sections and exercises introduce the idea of a mathematical model and help you see the relevance of mathematical concepts.
  • Chapter Review Exercise Sets and Chapter Tests The Chapter Review Exercise Sets and the Chapter Tests, at the end of each chapter, are designed to provide you with another opportunity to assess your understanding of the concepts presented in a chapter. The answers for all exercises in the Chapter Review Exercise Sets and the Chapter Tests are provided in the Answers to Selected Exercises appendix along with a reference to the section in which the concept was presented.
Each chapter concludes with Exploring Concepts with Technology, Summary, Assessing Concepts, Review Exercises, Quantitative Reasoning, Chapter Test, and Cumulative Review Exercises.
P. PRELIMINARY CONCEPTS.
The Real Number System. Integer and Rational Number Exponents. Polynomials. Factoring. Rational Expressions. Complex Numbers.
1. EQUATIONS AND INEQUALITIES.
Linear and Absolute Value Equations. Formulas and Applications. Quadratic Equations. Other Types of Equations. Inequalities. Variation and Applications.
2. FUNCTIONS AND GRAPHS.
A Two Dimensional Coordinate System and Graphs. Introduction to Functions. Linear Functions. Quadratic Functions. Properties of Graphs. The Algebra of Functions. Modeling Data Using Regression.
3. POLYNOMIAL AND RATIONAL FUNCTIONS.
The Remainder Theorem and the Factor Theorem. Polynomial Functions of Higher Degree. Zeros of Polynomial Functions. The Fundamental Theorem of Algebra. Graphs of Rational Functions and Their Applications.
4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Inverse Functions. Exponential Functions and Their Applications. Logarithmic Functions and Their Applications. Properties of Logarithms and Logarithmic Scales. Exponential and Logarithmic Equations. Exponential Growth and Decay. Modeling Data with Exponential and Logarithmic Functions.
5. TRIGONOMETRIC FUNCTIONS.
Angles and Arcs. Right Triangle Trigonometry. 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.
6. 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.
7. APPLICATIONS OF TRIGONOMETRY.
The Law of Sines. The Law of Cosines and Area. Vectors. Trigonometric Form of Complex Numbers. De Moivre's Theorem.
8. TOPICS IN ANALYTIC GEOMETRY.
Parabolas. Ellipses. Hyperbolas. Rotation of Axes. Introduction to Polar Coordinates. Polar Equations of the Conics. Parametric Equations.
9. SYSTEMS OF EQUATIONS AND INEQUALITIES.
Systems of Linear Equations in Two Variables. Systems of Linear Equations in More than Two Variables. Nonlinear Systems of Equations. Partial Fractions. Inequalities in Two Variables and Systems of Inequalities. Linear Programming.
10. MATRICES.
Gaussian Elimination Method. The Algebra of Matrices. The Inverse of a Matrix. Determinants. Cramer's Rule.
11. SEQUENCES, SERIES, AND PROBABILITY.
Infinite Sequences and Summation Notation. Arithmetic Sequences and Series. Geometric Sequences and Series. Mathematical Induction. The Binomial Theorem. Permutations and Combinations. Introduction to Probability.
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Cengage provides a range of supplements that are updated in coordination with the main title selection. For more information about these supplements, contact your Learning Consultant.

FOR INSTRUCTORS

Complete Solutions Manual

ISBN: 9781285451077
The complete solutions manual provides worked-out solutions to all of the problems in the text.

Solution Builder

ISBN: 9781285451107
(http://www.cengage.com/solutionbuilder). This online instructor database offers complete worked-out solutions to all exercises in the text, allowing you to create customized, secure solutions printouts (in PDF format) matched exactly to the problems you assign in class.

Cengage Learning Testing, powered by Cognero Instant Access

ISBN: 9781285979991

Study Guide with Student Solutions Manual

ISBN: 9781285451121
Reinforces student understanding and aids in test preparation with detailed explanations, worked-out examples, and practice problems. Lists key ideas to master and builds problem-solving skills. Includes worked solutions to the odd-numbered problems in the text.

FOR STUDENTS

Study Guide with Student Solutions Manual

ISBN: 9781285451121
Reinforces student understanding and aids in test preparation with detailed explanations, worked-out examples, and practice problems. Lists key ideas to master and builds problem-solving skills. Includes worked solutions to the odd-numbered problems in the text.