# Calculus II - Lecture Notes & Resources

### Steve Kifowit - Waubonsee Community College - Math 132

Calculus I notes | SageMathCell | SageMath Quick Reference: General or Calculus

Area between curves --- Notes

Disks and washers --- Example 1 | Example 2 | Example 3 | Example 4

Solids with known cross sections --- Example 1 | Example 2

Cylindrical shells --- Example 1

Arc length and surface area --- Example 1 | Example 2 | Example 3 | Example 4

Integration by parts --- Notes

Partial fractions --- Guidelines for decompositions

Trigonometric substitution --- Secant example 1 | Secant example 2

Trapezoid rule --- Notes, Python code, Desmos trapezoid rule calculator

Simpson's rule --- Slides, Python code

Improper integrals --- Notes

Sequences --- Notes

Intro to series --- Notes

n-th term test and integral test --- Notes

Direct and limit comparison --- Notes

Alternating series --- Notes

Ratio and root tests --- Notes | Summary of convergence tests

Power series --- Notes

Properties of power series --- Notes

Taylor series --- Notes

Parametric equations --- Notes

Calculus of parametric equations --- Notes

Polar coordinates --- Notes

Area and arc length in polar coordinates --- Notes

Last updated April 4, 2021.