Functions and Mathematical Modeling Functions f(x) Terminology Types of Functions Restricted Domains and Boolean Variables Friendly Windows Translations and Dilations of Function Graphs Translations and Dilations of Function Graphs  Practice on the TI83/TI 84 Composition of Functions Domain of a Composite Function Inverse of Functions Reflections of Function Graphs Absolute Value Transformations Even and Odd Functions
Periodic Functions and Right Triangle Problems Standard Position of an Angle Coterminal Angles Reference Angles Sine and Cosine Functions The Six Trigonometric Functions Inverse Trigonometric Functions Right Triangle Problems
Applications of Trigonometric and Circular Functions General Sinusoidal Graphs General Sinusoidal Graphs  Examples Graphs of Tangent, Cotangent, Secant, and Cosecant Functions Radian Measure of Angles Circular Functions The Inverse Cosine Relation Sinusoidal Functions as Mathematical Models
Properties of Trigonometric Functions; Identities; Parametric Functions Reciprocal, Quotient, and Pythagorean Properties Identities and Algebraic Transformation of Expressions Arcsine, Arctangent, and Arccosine Trigonometric Equations Parametric Functions Using Parametric Equations to Plot Solids Inverse Trigonometric Relation Graphs Exact Values of Inverse Circular Functions
Combined Sinusoids Linear Combination Property Composite Argument Property for Cos ( A  B ) The OddEven Properties The Cofunction Properties Other Composite Argument Properties Composition of Ordinates Harmonic Analysis The Sum and Product Properties Products and Squares of Cosine and Sine Double Argument Properties Half Argument Properties Combined SInusoids  Review
Triangle Trigonometry The Law of Cosines Area of a Triangle The Law of Sines The Ambiguous Case Vector Addition Applications of Triangle Problems
Properties of Elementary Functions Identifying Functions from Graphical Patterns Identifying Functions from Graphical Patterns  Problems Using Matrices to Solve Systems of Equations Identifying Functions from Numerical Patterns Introduction to Logarithms Properties of Logarithms Solving Logarithmic and Exponential Equations Logarithmic Functions Logistic Functions for Restrained Growth
Fitting Functions to Data Linear Regression Regression for Nonlinear Data Linearizing Data and Logarithmic Graph Paper Residual Plots and Mathematical Models
Probability and Functions of a Random Variable Words Associated with Probability Two Counting Principles Probabilities of Various Permutations Probabilities of Various Combinations Properties of Probability Functions of a Random Variable Mathematical Expectation
Three Dimensional Vectors Review of TwoDimensional Vectors TwoDimensional Vector Practice Vectors in Space
Scalar Products and Projections of Vectors
Planes in Space
Vector Product of Two Vectors
Direction Angles and Direction Cosines
Vector Equations of Lines in Space
Matrix Transformations and Fractal Figures
Matrix Operations and Solutions of Linear Systems
Rotation and Dilation Matrices
Strange Attractors for Several Iterated Transformations
Fractal Dimensions
Conic Sections and Quadric Surfaces Introduction to Conic Sections Parametric and Cartesian Equations of the Conic Sections Quadric Surfaces and Inscribed Figures Analytic Geometry of the Conic Sections Parametric and Cartesian Equations for Rotated Conics Applications of Conic Sections
Polar Coordinates Polar Equations of Conics and Other Curves Intersections of Polar Curves
Complex Numbers in Polar Form
Parametric Equations for Moving Objects
Sequences and Series Arithmetic, Geometric, and Other Sequences Series and Partial Sums
Binomial Series
Polynomial and Rational Functions; Limits and Derivatives Long Division of Polynomials Graphs and Zeros of Polynomial Functions Sums and Products of Zeros
Fitting Polynomial Functions to Data Rational Functions: Discontinuities and Limits Rational Functions: Partial Fractions Instantaneous Rate of Change of a Function: The Derivative
