College Algebra and Trigonometry

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  • Edition: 6th
  • Format: Hardcover
  • Copyright: 1/19/2007
  • Publisher: Brooks Cole
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Accessible to students and flexible for instructors,College Algebra and Trigonometry,Sixth 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. Additional program components that support student success include Eduspace tutorial practice, online homework, SMARTHINKING Live Online Tutoring, and Instructional DVDs. The authors' provenAufmann Interactive Methodallows students to try a skill as it is presented in example form. This interaction between the examples andTry Exercisesserves as a checkpoint to students as they read the textbook, do their homework, or study a section. In the Sixth Edition,Review Notesare featured more prominently throughout the text to help students recognize the key prerequisite skills needed to understand new concepts. Updated!End-of-chapter exercises--Assessing Concepts--have been revised to include more question types including fill-in-the-blank, multiple choice, and matching. Revised!Prepare for This Sectionexercises, formerlyPrepare for the Next Section,have been moved from the end of each chapter to the beginning of each chapter and afford students the opportunity to test their understanding of prerequisite skills about to be covered. New!Calculus Connectionicons have been added to indicate topics that will be revisited in subsequent courses, laying the groundwork for further study. New!A Quantitative Reasoning feature demonstrates math solutions to real-world problems and is compliant with MAA Guidelines and AMATYC 2006 Crossroads Revisited. Applicationsrequire students to use problem-solving strategies and new skills to solve practical problems. Covering topics from many disciplines, including agriculture, business, chemistry, education, and sociology, these problems demonstrate to students the practicality and value of algebra. Noted by a pie chart icon,Real Dataexamples and exercises require students to analyze and construct mathematical models from actual situations. Appearing throughout the text,Integrating Technologynotes offer relevant information about using graphing calculators as an alternative way to solve a problem. Step-by-step instructions allow students to use technology with confidence. Exploring Concepts with Technology,an optional end-of-chapter feature, uses technology (graphing calculators, CAS, etc.) to explore ideas covered in the chapter. These investigations can be used in a variety of ways, such as group projects or extra-credit assignments. Together withIntegrating Technologytips, this feature makes the text appropriate for courses that allow the use of graphing calculators.

Table of Contents

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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