Lecture Notes
Below is a list of abbreviated notes for each lecture. They are not necessarily complete, may contain typo's, and should be used at your own risk. That being said, they should provide a good idea of what has been/will be discussed in each lecture.- Lecture 1. Lines in space.
- Lecture 2. Lines continued, and the dot product.
- Lecture 3. Dot product continued and the cross product.
- Lectures 4 and 5. Planes in space and functions of several variables.
- Lecture 6. Partial derivatives, tangent planes and linear approximations.
- Lecture 7. Derivatives of scalar valued functions.
- Lecture 8. The derivative matrix.
- Lecture 9. Higher partial derivatives and the chain rule.
- Lecture 11. Paths and arclength.
- Lecture 12. Vector Fields, Div, Grad and Curl.
- Lecture 15. Triple integrals and volume.
- Lecture 16. Cylindrical and spherical coordinates.
- Lecture 17. Line integrals.
- Lecture 18. Integrating vector fields and Green's Theorem.
- Lecture 19. The Fundamental Theorem of Line Integrals.
- Lecture 20. Consequences of FTLI.