Calculus II Supplemental Videos

The videos listed above were some various ones taken from the internet to give you extra practice and a different point of view.

Chapter 4 (Antiderivatives)
- This is an introduction to antiderivatives from MIT which uses slightly different notation, and introduces something called a differential (we've seen them in Calc I). NOTE: The discussion on antiderivatives doesn't start right away- Go to about the 14:22 minute mark, and then you can stop at the 30 minute mark (he goes on to discuss some later topics).
Chapter 5
- Appendix E (Sigma Notation)
  - A very short introduction to the notation from Khan Academy.
  - This is a recitation session from MIT on how to use Sigma notation.
- What is a Riemann sum (from Khan Academy)
- An example using the Riemann sum (Khan Academy)
- Properties of the definite integral (see the links to the left).
- The Fundamental Theorem of Calculus (see links to the left of the video)
- This might be an interesting lesson in Mathematics Education. I looked at this video and could not recommend it. The person is earnest, but there is a "fundamental" error here. Can you say what the problem is? (Her computations are correct- I'm talking about the "big picture").
- Video from Khan Academy about integration using substitution (similar to our section 5.5)
Chapter 6
Chapter 7
- Integration by parts, with several examples.
- Powers of sine and cosine, sorry that it's 2.5 hours long!
- For 7.3, here are several videos that may be helpful: