Precalculus : Graphs and Models

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  • Edition: 2nd
  • Format: Hardcover
  • Copyright: 2004-08-27
  • Publisher: McGraw-Hill Science/Engineering/Math
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Table of Contents

Functions, Graphs, and Models
Using Graphing Utilities
Functions: Graphs and Properties
Functions: Graphs and Transformations
Operations on Functions; Composition
Inverse Functions
Modeling with Linear and Quadratic Functions
Linear Functions
Linear Equations and Models
Quadratic Functions
Complex Numbers
Quadratic Equations and Models
Additional Equation-Solving Techniques
Solving Inequalities
Polynomial and Rational Functions
Polynomial Functions and Models
Real Zeros and Polynomial Inequalities
Complex Zeros and Rational Zeros of Polynomials
Rational Functions and Inequalities
Exponential and Logarithmic Functions
Exponential Functions
Exponential Models
Logarithmic Functions
Logarithmic Models
Exponential and Logarithmic Equations
Trigonometric Functions
Angles and Their Measure
Trigonometric Functions: A Unit Circle Approach
Solving Right Triangles
Properties of Trigonometric Functions
More General Trigonometric Functions and Models
Inverse Trigonometric Functions
Trigonometric Identities and Conditional Equations
Basic Identities and Their Use
Sum, Difference, and Cofunction Identities
Double-Angle and Half-Angle Identities
Product-Sum and Sum-Product Identities
Trigonometric Equations
Additional Topics in Trigonometry
Law of Sines
Law of Cosines
Geometric Vectors
Algebraic Vectors
Polar Coordinates and Graphs
Complex Numbers in Rectangular and Polar Forms
De Moivre's Theorem
Modeling with Linear Systems
Systems of Linear Equations in Two Variables
Systems of Linear Equations and Augmented Matrices
Gauss-Jordan Elimination
Systems of Linear Inequalities
Linear Programming
Matrices and Determinants
Matrix Operations
Inverse of a Square Matrix
Matrix Equations and Systems of Linear Equations
Properties of Determinants
Determinants and Cramer's Rule
Sequences, Induction, and Probability
Sequences and Series
Mathematical Induction
Arithmetic and Geometric Sequences
Multiplication Principle, Permutations, and Combinations
Sample Spaces and Probability
Binomial Formula
Additional Topics in Analytic Geometry
Conic Sections; Parabola
Translation of Axes
Rotation of Axes
Nonlinear Systems
Review of Equations and Graphing
Linear Equations and Inequalities
Cartesian Coordinate System
Basic Formulas in Analytic Geometry
Special Topics
Significant Digits
Partial Fractions
Descartes' Rule of Signs
Parametric Equations
Geometric Formulas
Table of Contents provided by Publisher. All Rights Reserved.

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