 Introduction to Function

 Graphs of Function

 Shifting, Reflecting and Stretching Graphs

 Combinations of Functions

 Inverse Functions

Polynomial and Rational Functions

 Quadratic Functions

 Polynomial Functions of Higher Degree

 Real Zeros of Polynomial Functions

 Complex Numbers

 The Fundamental Theorem of Algebra

 Writing about Polynomials

 Rational Functions and Asymptotes

 Graphs of Rational Functions

Exponential and Logarithmic Functions

 Exponential Functions and Their Graphs

 Logarithmic Functions and Their Graphs

 Properties of Logarithms

 Solving Exponential and Logarithmic Equations and their Models

Trigonometric Functions

 Radian and Degree Measure

 Trigonometric Functions: The Unit Circle, Any Angle

 Right Triangle Trigonometry

 Trigonometric Function of Any Angle

 Graphs and Analysis of Sine and Cosine Functions

 Graphs of Other Trigonometric Functions

 Inverse Trigonometric Functions

 Applications and Models

Analytic Trigonometry

 Using Fundamental Identities

 Verifying Trigonometric Identities

 Solving Trigonometric Equations: Linear, Factored or Quadratic

 Sum and Difference Formulas

 Multiple Angle Formulas

Segment 2

Additional Topics in Trigonometry

 Laws of Sines and Cosines and Applications

 Vectors in the Plane and 3 Dimensions

 Vectors and Dot Products

 Cross Product of To Vectors

 Complex Numbers in Trigonometric Form and DeMoivre’s Theorem for Roots

Sequences, Series, and Poof by Induction

 Sequences and Summation Notation

 Arithmetic and Geometric Sequences

 Mathematical Induction

Topics in Analytic Geometry

 Conic Sections: Parabolas, Ellipses, Hyperbolas

 Conics Collage

 Parametric Equations

 Polar Coordinates and their Graphs

Limits and Introduction to Calculus

 Introduction to Limits

 Evaluating Limits and One-Sided Limits

 Continuity at a Point