Week 10 (30/3 - 3/4)
Notes for lectures on ODEs: series expansion and Frobenius method, week 10 (30/3 - 3/4)
Notes for lectures on Fourier series, week 10 (30/3-3/4) and week 11 (14-17/4)
Video: ODEs, power series expansion
Week 11 (14-17/4)
Notes: Last part of the above notes on Fourier series (starting from "Other basic intervals")
Notes for lectures on Fourier transforms
Week 12 (20-24/4)
Notes for lectures on Laplace transforms
Video: Laplace transforms part 1 (until and including s-shifting)
Video: Laplace transforms part 2 (t-shifting till end)
Week 13 (27-30/4)
Notes for lectures on PDEs I: Separation of variables, Cartesian coordinates (Boas 13.2-13.4)
Video: Separation of variables, 1D wave equation
Video: Heat flow equation, 2D wave equation, 2D Laplace equation
NB! This division of material into weeks 13 and 14 is a suggestion. Feel free to start working on the material for week 14 already this week, as it is closely related.
Week 14 (4-8/5)
Video: Non-Cartesian coordinates
Video: Solution by integral transform. Orthogonal functions.