- Differentiation
- Applications of Differentiation
- The Definite Integral and its Applications
- Techniques of Integration
- Exploring the Infinite
- Session 1: Introduction to Derivatives
- Session 2: Examples of Derivatives
- Session 3: Derivative as Rate of Change
- Session 4: Limits and Continuity
- Session 5: Discontinuity
- Session 6: Calculating Derivatives
- Session 7: Derivatives of Sine and Cosine
- Session 8: Limits of Sine and Cosine
- Session 9: Product Rule
- Session 10: Quotient Rule
- Session 11: Chain Rule
- Session 12: Higher Derivatives
- Problem Set 1
- Session 13: Implicit Differentiation
- Session 14: Examples of Implicit Differentiation
- Session 15: Implicit Differentiation and Inverse Functions
- Session 16: The Derivative of ax
- Session 17: The Exponential Function, its Derivative, and its Inverse
- Session 18: Derivatives of other Exponential Functions
- Session 19: An Interesting Limit Involving e
- Session 20: Hyperbolic Trig Functions
- Problem Set 2
- Session 21: Review for Exam 1 - Computing Derivatives Using Differentiation Rules
- Session 22: Materials for Exam 1
Each session comes with video lectures, detailed pdf notes, and sample problems with solutions. I did't expect to use the videos as I didn't like other video tutorials I tried for other classes (like on Youtube, not opencourseware), but these are pretty great. Its just like being in the classroom, you can even see the students in the class on full screen mode. I don't know if I'll watch every video because its just a quick review for me but I finished sessions 1-3 and I'm paused on 4. I love that I can pause the classroom while I go make a snack or whatever and come back to it right where we left off.
I wish I could do that in real life! :)