Warren Shull

Calculus 2

Here are the lecture videos I most recently used for Calculus 2. I welcome your feedback about any of these materials, as well as suggestions for new materials to link to (or create). The links shown in red are of my own making.

"Arithmetic is to math as spelling is to journalism" - Emmanuel Schanzer

Integration strategy:

Integration by Parts introduction
Trigonometric integrals:
Trigonometric substitution:
Partial Fractions introduction
Integral approximation:
Improper integrals introduction
Arc length introduction
- 8.1 Example 1
- 8.1 Example 2
Surface area introduction

Sequences and series:

Sequences:
Series introduction
Test for Divergence
Integral Test introduction
Comparison Test introduction
- 11.4 Example 1
- 11.4 Example 2
Limit Comparison Test
- Intro & Example 3
- 11.4 Example 4
Alternating Series Test introduction
Absolute Convergence
- Introduction and 11.6 Example 3
- 11.6 Examples 1 and 2
Ratio Test and Root Test
Power series
Taylor and Maclaurin Series

Differential Equations

Introduction
Euler's Method
- 9.2 Exercise 24a
- 9.2 Exercise 24b
Separable Differential Equations
Logistic population models
- 9.4 Exercise 10
Linear Differential Equations

Polar coordinates

Introduction (watch until 9:05)
Areas
Arc length
- 10.4 Exercise 45
- 10.4 Exercise 46