V.  OUTLINE

1. Introduction
   1. Course requirements
   2. Grading
   
   
2. Mathematical Functions
   1. Domain and Range
   2. Graphs
   3. Linear functions
   4. Slope
   5. Transformation of functions
      1. translation
      2. stretching
      3. inversion
   6. Composite functions
   7. One-to-one functions
   8. Inverse functions
   
   
3. Trigonometric Functions
   1. Angles and radian measure
   2. Unit circle
   3. Right triangles
   4. Trigonometric functions
      1. definitions
      2. reciprocal relationships
      3. cofunctions
   5. Graphs
   6. Inverse trigonometric functions
   7. Applications
   
   
4. Analytic Trigonometry
   1. Trigonometric identities
   2. Sum and difference formulae
   3. Double-angle formulae
   4. Half-angle formulae
   5. Trigonometric equations
   
   
5. Additional Topics in Trigonometry
   1. Law of Sines
   2. Law of Cosines
   3. Polar coordinates
   4. Polar equations
   5. Complex numbers
   
   
6. Conic Sections
   1. General quadratic equations in two variables
   2. Conic sections
      1. circles
      2. ellipses
      3. hyperbolas
      4. parabolas
   3. Rotation of axes
   4. Polar coordinates
   
   
7. Sequences and Series
   1. Sequences
   2. Series
      1. convergence and divergence
      2. arithmetic
      3. geometric
   
   
8. Limits
   1. Limits
   2. Finding limits
   3. Limit Theorems
   4. Continuity
   
   
9. Introduction to Calculus
   1. Derivatives
   2. Antiderivatives