| Video | Notes | Quiz |
|---|---|---|
1 April |
||
| Lecture from 26.03 | notes | quiz |
| 5.4 B: Bounded linear operators | notes | quiz |
| 5.4 C: Three examples | notes | |
| 5.5 A: Inverse operators | notes | quiz |
8 April |
||
| 5.5 B: Neumann series | notes | quiz |
| 6 A: Big-O and little-o notation | notes | quiz |
| 6 B: The derivative | notes | quiz |
| 6 C: The Gateaux derivative and two examples | notes | quiz |
15 April |
||
| 6 D: The mean value theorem | notes | |
| 6 E: The inverse function theorem | notes | quiz |
22 April |
||
| 6 F: Partial derivatives and functions on product spaces | notes | |
| 6 G: The implicit function theorem | notes | quiz |
14 May |
||
| 10 A: Motivation and examples | notes | quiz |
| 10 B: The Dirichlet and Fejér kernels | notes | |
| 10 C: Convergence of Fourier series | notes | |
Questions to quizzes
Why do we use little-o and big-O notation? What does it mean?
Lindstr?m's book does not use this notation, but I think this material is conceptually easier once you have mastered o and O notation. I have written a set of lecture notes on the topic; see the Syllabus.