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