Description
Algebra and Trigonometry 8th Edition by Richard Aufmann, ISBN-13: 978-1285449425
[PDF eBook eTextbook] – Available Instantly
- 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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