
Precalculus Mathematics for Calculus (with CD-ROM, BCA Tutorial, vMentor, and InfoTrac)
by Stewart, James; Redlin, Lothar; Watson, Saleem-
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Summary
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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