Precalculus Mathematics for Calculus (with CD-ROM, BCA Tutorial, vMentor, and InfoTrac)

by ; ;
Edition: CD
Format: Hardcover
Pub. Date: 2001-12-10
Publisher(s): Brooks Cole
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Summary

In this best selling Precalculus text, the authors explain concepts simply and clearly, without glossing over difficult points. This comprehensive, evenly-paced book provides complete coverage of the function concept and integrates substantial graphing calculator materials that help students develop insight into mathematical ideas. This author team invests the same attention to detail and clarity as Jim Stewart does in his market-leading Calculus text.

Table of Contents

Fundamentals
Real Numbers
Exponents and Radicals
Algebraic Expressions
Fractional Expressions
Equations
Modeling with Equations
Inequalities
Coordinate Geometry
Solving Equations and Inequalities Graphically
Lines
Functions
What is a Function? Graphs of Functions
Applied Functions: Variation
Average Rate of Change: Increasing and Decreasing Functions
Transformations of Functions
Extreme Values of Functions
Modeling with Functions
Combining Functions
One-to-One Functions and Their Inverses
Polynomial and Rational Functions
Polynomial Functions and Their Graphs
Dividing Polynomials
Real Zeros of Polynomials
Complex Numbers
Complex Zeros and the Fundamental Theorem of Algebra
Rational Functions
Exponential and Logarithmic Functions
Exponential Functions
Logarithmic Functions
Laws of Logarithms
Exponential and Logarithmic Equations
Modeling with Exponential and Logarithmic Functions
Trigonometric Functions of Real Numbers
The Unit Circle
Trigonometric Functions of Real Numbers
Trigonometric Graphs
More Trigonometric Graphs
Trigonometric Functions of Angles
Angle Measure
Trigonometry of Right Triangles
Trigonometric Functions of Angles
The Law of Sines
The Law of Cosines
Analytic Trigonometry
Trigonometric Identities
Addition and Subtraction Formulas
Double-Angle, Half-Angle, and Product-Sum Formulas
Inverse Trigonometric Functions
Trigonometric Equations
Trigonometric Form of Complex Numbers; DeMoivre's Theorem
Vectors
The Dot Product
Systems of Equations and Inequalities
Systems of Equations
Systems of Linear Equations in Two Variables
Systems of Linear Equations in Several Variables
Systems of Linear Equations: Matrices
The Algebra of Matrices
Inverses of Matrices and Matrix Equations
Determinants and Cramer?s Rule
Systems of Inequalities
Partial Fractions
Topics in Analytic Geometry
Parabolas
Ellipes
Hyperbolas
Shifted Conics
Rotation of Axes
Polar Coordinates
Polar Equations of Conics
Parametric Equations
Sequences and Series
Sequences and Summation Notation
Arithmetic Sequences
Geometric Sequences
Annuities and Installment Buying
Mathematical Induction
The Binomial Theorem
Counting and Probability
Counting Principles..Permutations and Combinations
Probability
Expected Value
Limits: A Preview of Calculus
Finding Limits Numerically and Graphically
Finding Limits Algebraically
Tangent Lines and Derivatives
Limits at Infinity; Limits of Sequences
Areas
Answers to Odd-Numbered Exercises and Chapter Tests
Index
Table of Contents provided by Publisher. All Rights Reserved.

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