Outline of Calculus II, Math 208                           Updated 12/16/2011
                                        Based on the LX form dated 04/13/2006

1.  Techniques of Integration
      Integration by parts
      Trigonometric substitution
      Partial fractions and rational functions
      Improper integrals
   
2.  Applications of Integration
      Arc length and surface area
      Applications to physics
      Probability density functions

3.  Differential equations
      Separation of variables
      First order linear equations
      mixing problems, exponential growth, logistic growth

4.  Infinite series
      Convergence of an infinite sequence
      The sequence of partial sums
      Tests for convergence of series.
      Absolute convergence
      Power series
      Taylor's Theorem with Remainder
      Taylor series

5.  Vectors
      Representations of vectors
      Vector addition and scalar multiplication
      Dot product, cross product
      Systems of linear equations
      Parametric equations of lines
      Equations of planes