User:Rf~enwikiversity/Calculus 2 notes

Integration

 * Review fundamental theorem of calculus
 * Integration by substitution
 * Integration by parts
 * Trigonometric integrals
 * Trigonometric substitutions
 * Integration by rational functions (partial fraction decomposition)
 * Volumes of rotation: integrating disks
 * Volumes of rotation: cyclindrical shells
 * Approximate integration
 * Improper integrals

Differential Equations

 * Modelling with differential equations
 * Direction fields
 * Euler's method
 * Separable equations
 * Exponential growth and decay

???

 * Linear equations
 * Parametric curves
 * Calculus with parametric curves
 * Polar coordinates
 * Area and length in polar coordinates

Infinite Series

 * Sequences. Proof of Monotonic sequence theorem
 * Series. Proof of geometric series
 * Integral test
 * Comparison test
 * Alternating series
 * Absolute convergence. Ratio and root tests. Proof of ratio test
 * Power series
 * Representation of functions as power series
 * Taylor and Maclaurin series
 * Applications of taylor series