College Algebra and Trigonometry

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  • Edition: 7th
  • Format: Hardcover
  • Copyright: 2010-01-01
  • Publisher: Brooks Cole
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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.

Table of Contents

P. Preliminary Concepts
The Real Number System
Integer and Rational Number Exponents
Rational Expressions
Complex Numbers
Equations and Inequalities
Linear and Absolute Value Equations
Formulas and Applications
Quadratic Equations
Other Types of Equations
Variation and Applications
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
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
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
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
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
Applications of Trigonometry
The Law of Sines
The Law of Cosines and Area
Trigonometric Form of Complex Numbers
De Moivre's Theorem
Topics in Analytic Geometry
Rotation of Axes
Introduction to Polar Coordinates
Polar Equations of the Conics
Parametric Equations
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
Gaussian Elimination Method
The Algebra of Matrices
The Inverse of a Matrix
Cramer's Rule
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
Table of Contents provided by Publisher. All Rights Reserved.

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