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Functions, Graphs, and Models | |
Using Graphing Utilities | |
Functions | |
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 | |
Determinants | |
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 | |
Ellipse | |
Hyperbola | |
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. |