9780321497444

College Algebra and Trigonometry

by ; ;
  • ISBN13:

    9780321497444

  • ISBN10:

    0321497449

  • Edition: 4th
  • Format: Hardcover
  • Copyright: 1/1/2009
  • Publisher: Addison Wesley
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Summary

Over the years, the text has been shaped and adapted to meet the changing needs of both students and educators. As always, special care was taken to respond to the specific suggestions of users and reviewers through enhanced discussions, new and updated examples and exercises, helpful features, and an extensive package of supplements and study aids. The result is an easy-to-use, comprehensive text that is the best edition yet.

Table of Contents

Review of Basic Concepts
Sets
Real Numbers and Their Properties
Polynomials
Factoring Polynomials
Rational Expressions
Rational Exponents
Radical Expressions
Equations and Inequalities
Linear Equations
Applications and Modeling with Linear Equations
Complex Numbers
Quadratic Equations
Applications and Modeling with Quadratic Equations
Other Types of Equations and Applications
Inequalities
Absolute Value Equations and Inequalities
Graphs and Functions
Rectangular Coordinates and Graphs
Circles.Functions.Linear Functions
Equations of Lines; Curve Fitting
Graphs of Basic Functions
Graphing Techniques
Function Operations and Composition
Polynomial and Rational Functions.Quadratic Functions and Models
Synthetic Division
Zeros of Polynomial Functions
Polynomial Functions: Graphs, Applications, and Models
Rational Functions: Graphs, Applications, and Models
Variation
Inverse, Exponential, and Logarithmic Functions
Inverse Functions
Exponential Functions
Logarithmic Functions
Evaluating Logarithms and the Change-of-Base Theorem
Exponential and Logarithmic Equations
Applications and Models of Exponential Growth and Decay
Trigonometric Functions.Angles
Trigonometric Functions
Evaluating Trigonometric Functions
Solving Right Triangles
The Circular Functions and Their Graphs
Radian Measure
The Unit Circle and Circular Functions
Graphs of the Sine and Cosine Functions
Translations of the Graphs of the Sine and Cosine Functions
Graphs of the Tangent, Cotangent, Secant, and Cosecant Functions
Harmonic Motion
Trigonometric Identities and Equations
Fundamental Identities
Verifying Trigonometric Identities
Sum and Difference Identities
Double-Angleand Half-Angle Identities
Inverse Circular Functions
Trigonometric Equations
Equations Involving Inverse Trigonometric Functions
Applications of Trigonometry
The Law of Sines
The Law of Cosines
Vectors, Operations, and the Dot Product
Applications of Vectors
Trigonometric (Polar) Form of Complex Numbers; Products and Quotients
DeMoivre's Theorem; Powers and Roots of Complex Numbers
Polar Equations and Graphs
Parametric Equations, Graphs, and Applications
Systems and Matrices
Systems of Linear Equations
Matrix Solution of Linear Systems
Determinant Solution of Linear Systems
Partial Fractions
Nonlinear Systems of Equations
Systems of Inequalities and Linear Programming
Properties of Matrices.Matrix Inverses
Analytic Geometry
Parabolas
Ellipses
Hyperbolas
Summary of the Conic Sections
Further Topics in Algebra
Sequences and Series
Arithmetic Sequences and Series
Geometric Sequences and Series
The Binomial Theorem
Mathematical Induction
Counting Theory
Basics of Probability
Polar Form of Conic Sections
Appendix
Table of Contents provided by Publisher. All Rights Reserved.

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