Algebra and Trigonometry 8th Edition by Richard Aufmann, ISBN-13: 978-1285449425

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Algebra and Trigonometry 8th Edition by Richard Aufmann, ISBN-13: 978-1285449425

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• Publisher: ‎ Cengage Learning; 8th edition (January 1, 2014)
• Language: ‎ English
• 1088 pages (Large size file: 60 MB)
• ISBN-10: ‎ 1285449428
• ISBN-13: ‎ 978-1285449425

Accessible to students and flexible for instructors, COLLEGE ALGEBRA AND TRIGONOMETRY, Eight Edition, incorporates the dynamic link between concepts and applications to bring mathematics to life. By integrating 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 eighth edition, Review Notes are featured more prominently throughout the text to help students recognize the key prerequisite skills needed to understand new concepts.

Table of Contents:

Preface

Ch P: Preliminary Concepts

Section P.1: The Real Number System

Section P.2: Integer and Rational Number Exponents

Section P.3: Polynomials

Mid-Chapter P Quiz

Section P.4: Factoring

Section P.5: Rational Expressions

Section P.6: Complex Numbers

Chapter P Test Prep

Chapter P Review Exercises

Chapter P Test

Ch 1: Equations and Inequalities

Section 1.1: Linear and Absolute Value Equations

Section 1.2: Formulas and Applications

Section 1.3: Quadratic Equations

Mid-Chapter 1 Quiz

Section 1.4: Other Types of Equations

Section 1.5: Inequalities

Section 1.6: Variation and Applications

Chapter 1 Test Prep

Chapter 1 Review Exercises

Chapter 1 Test

Cumulative Review Exercises

Ch 2: Functions and Graphs

Section 2.1: Two-Dimensional Coordinate System and Graphs

Section 2.2: Introduction to Functions

Section 2.3: Linear Functions

Mid-Chapter 2 Quiz

Section 2.4: Quadratic Functions

Section 2.5: Properties of Graphs

Section 2.6: Algebra of Functions

Section 2.7: Modeling Data Using Regression

Chapter 2 Test Prep

Chapter 2 Review Exercises

Chapter 2 Test

Cumulative Review Exercises

Ch 3: Polynomial and Rational Functions

Section 3.1: Remainder Theorem and Factor Theorem

Section 3.2: Polynomial Functions of Higher Degree

Section 3.3: Zeros of Polynomial Functions

Mid-Chapter 3 Quiz

Section 3.4: Fundamental Theorem of Algebra

Section 3.5: Graphs of Rational Functions and Their Applications

Chapter 3 Test Prep

Chapter 3 Review Exercises

Chapter 3 Test

Cumulative Review Exercises

Ch 4: Exponential and Logarithmic Functions

Section 4.1: Inverse Functions

Section 4.2: Exponential Functions and Their Applications

Section 4.3: Logarithmic Functions and Their Applications

Section 4.4: Properties of Logarithms and Logarithmic Scales

Mid-Chapter 4 Quiz

Section 4.5: Exponential and Logarithmic Equations

Section 4.6: Exponential Growth and Decay

Section 4.7: Modeling Data with Exponential and Logarithmic Functions

Chapter 4 Test Prep

Chapter 4 Review Exercises

Chapter 4 Test

Cumulative Review Exercises

Ch 5: Trigonometric Functions

Section 5.1: Angles and Arcs

Section 5.2: Right Triangle Trigonometry

Section 5.3: Trigonometric Functions of Any Angle

Section 5.4: Trigonometric Functions of Real Numbers

Mid-Chapter 5 Quiz

Section 5.5: Graphs of the Sine and Cosine Functions

Section 5.6: Graphs of the Other Trigonometric Functions

Section 5.7: Graphing Techniques

Section 5.8: Harmonic Motion-An Application of the Sine and Cosine Functions

Chapter 5 Test Prep

Chapter 5 Review Exercises

Chapter 5 Test

Cumulative Review Exercises

Ch 6: Trigonometric Identities, Inverse Functions, and Equations

Section 6.1: Verification of Trigonometric Identities

Section 6.2: Sum, Difference, and Cofunction Identities

Section 6.3: Double- and Half-Angle Identities

Mid-Chapter 6 Quiz

Section 6.4: Identities Involving the Sum of Trigonometric Functions

Section 6.5: Inverse Trigonometric Functions

Section 6.6: Trigonometric Equations

Chapter 6 Test Prep

Chapter 6 Review Exercises

Chapter 6 Test

Cumulative Review Exercises

Ch 7: Applications of Trigonometry

Section 7.1: Law of Sines

Section 7.2: Law of Cosines and Area

Section 7.3: Vectors

Mid-Chapter 7 Quiz

Section 7.4: Trigonometric Form of Complex Numbers

Section 7.5: De Moivre’s Theorem

Chapter 7 Test Prep

Chapter 7 Review Exercises

Chapter 7 Test

Cumulative Review Exercises

Ch 8: Topics in Analytic Geometry

Section 8.1: Parabolas

Section 8.2: Ellipses

Section 8.3: Hyperbolas

Section 8.4: Rotation of Axes

Mid-Chapter 8 Quiz

Section 8.5: Introduction to Polar Coordinates

Section 8.6: Polar Equations of the Conics

Section 8.7: Parametric Equations

Chapter 8 Test Prep

Chapter 8 Review Exercises

Chapter 8 Test

Cumulative Review Exercises

Ch 9: Systems of Equations and Inequalities

Section 9.1: Systems of Linear Equations in Two Variables

Section 9.2: Systems of Linear Equations in Three Variables

Section 9.3: Nonlinear Systems of Equations

Mid-Chapter 9 Quiz

Section 9.4: Partial Fractions

Section 9.5: Inequalities in Two Variables and Systems of Inequalities

Section 9.6: Linear Programming

Chapter 9 Test Prep

Chapter 9 Review Exercises

Chapter 9 Test

Cumulative Review Exercises

Ch 10: Matrices

Section 10.1: Gaussian Elimination Method

Section 10.2: Algebra of Matrices

Section 10.3: Inverse of a Matrix

Mid-Chapter 10 Quiz

Section 10.4: Determinants

Chapter 10 Test Prep

Chapter 10 Review Exercises

Chapter 10 Test

Cumulative Review Exercises

Ch 11: Sequences, Series, and Probability

Section 11.1: Infinite Sequences and Summation Notation

Section 11.2: Arithmetic Sequences and Series

Section 11.3: Geometric Sequences and Series

Mid-Chapter 11 Quiz

Section 11.4: Mathematical Induction

Section 11.5: Binomial Theorem

Section 11.6: Permutations and Combinations

Section 11.7: Introduction to Probability

Chapter 11 Test Prep

Chapter 11 Review Exercises

Chapter 11 Test

Cumulative Review Exercises

Solutions to the Try Exercises

Answers to Selected Exercises

Index

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.

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.

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