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Precalculus,9780321227621
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Precalculus

by ; ;
Edition:
3rd
ISBN13:

9780321227621

ISBN10:
032122762X
Format:
Hardcover
Pub. Date:
1/1/2005
Publisher(s):
Addison Wesley

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Summary

Focusing on helping students to develop both the conceptual understanding and the analytical skills necessary to experience success in mathematics, we present each mathematical topic in this text using a carefully developed learning system to actively engage students in the learning process. We have tried to address the diverse needs of today's students through a more open design, updated figures and graphs, helpful features, careful explanations of topics, and a comprehensive package of supplements and study aids. Students will benefit from the text's student-oriented approach. We believe instructors will particularly welcome the new Annotated Instructor's Edition, which provides answers in the margin to almost all exercises, plus helpful Teaching Tips.

Table of Contents

R. Review of Basic Concepts
Real Numbers and Their Properties
Order and Absolute Value
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
Inequalities
Absolute Value Equations and Inequalities
Graphs and Functions
Graphs of Equations
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
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
Graphs of the Other Circular Functions
Harmonic Motion
Trigonometric Identities and Equations
Fundamental Identities
Verifying Trigonometric Identities
Sum and Difference Identities
Double-Angle Identities and 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
Rotation of Axes
Geometry Formulas
Glossary
Solutions to Selected Exercises
Answers to Selected Exercises
Index of Applications
Index
Table of Contents provided by Publisher. All Rights Reserved.


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