Tuesday 25. August
We did some discussion exercises and looked at the weekly problems. Notes: week1.pdf
Wednesday 26. August
We did some discussion exercises and looked at the weekly problems. Notes: pdf, week1.pdf
Tuesday 1. September
We did some discussion exercises and looked at the weekly problems. Notes: week2.pdf
Wednesday 2. September
We solved exercise 3.3 and the exercise on inner products. Notes: pdf. I have also written a solution to the Chebysheff polynomials, pdf. Lecture recording.
Tuesday 8. September
We did some discussion exercises and looked at the weekly problems. Solution to Ex. 3.12 (pdf. Old version with the wrong knots: pdf). Notes: week3.pdf
Wednesday 9. September
We did exercises.12, 3.16c, and talked briefly about 3.16b without going into too many details. Links to pdf and video.
Tuesday 15. September
We worked on the mandatory assignment.
Wednesday 16. September
We did exercises 5.1 and 5.6 (a,b). At the end we also discussed why $L$ and the integral sign can change places for quadrature rules. Notes: pdf and video.
Tuesday and Wednesday 22-23. September.
We worked with the mandatory assignments both days.
Tuesday 29. September
We discussed different strategies for approximating integrals, and worked on the weekly exercises. Notes: week6.pdf. Solution Gauss-Radau problem. [pdf] (updated 22. november).
Tuesday 6. October
We discussed different strategies for finding zeros of functions, and worked on the weekly exercises. Notes: week7.pdf Notes on Gaussian elimination [pdf] (added 22. november)
Tuesday 13. October
Today we discussed convergence of the newton method when the function has a root of multiplicity two and more, and compared it to normal roots. Script from today: newton_method.py. Solution to Ex. 7 in optimization note [pdf].
Tuesday 20. October
We worked with the mandatory assignment.
Tuesday 27. October
Solutions to the weekly exercises, week 43-44. [pdf]. [householder reflection]
Tuesday 3. November
We discussed the most typical mistakes in the mandatory assignment and worked with exercises.
Tuesday 10. November
Solution to exercises week 45 [pdf]. (new version 22. november, fixed sign error in $v_{-}$).