Main

Week	Chapter	Contents
1 Tuesday	1, 3.1	Elliptic problems
1 Wednesday	Appendix A	Sobolev spaces
1 Friday	Appendix A	Calculus inequalities.

2 Tuesday	3.4	Fundamental solution. Green's function.
2 Wednesday		Exercises A.10, A.11, A.13, A.14.
2 Friday	3.5	Riesz repr. thm, Lax-Milgram. Variational formulation of elliptic problems.

3 Tuesday	3.6, 3.7, 5.2	Neumann's problem. Regularity. FEM in 2-D.
3 Wednesday		Exercises 3.5, 3.9, 3.11, 3.13
3 Friday	---	Cancelled.

		Easter break

4 Tuesday	5.3, 5.4, 5.5	FEM.
4 Wednesday		Exercises 5.6, 5.8, 5.12
4 Friday	8.1, 8.2	Parabolic problems.

5 Tuesday	8.2, 8.3	Parabolic problems.
5 Wednesday		Exercises 8.4, 8.8
5 Friday	8.4, 10.1	The maximum principle. FEM for parabolic problems.

6 Tuesday	---	No lecture. May 1.
6 Wednesday	10.1	FEM for parabolic problems
6 Friday	10.2	Completely discrete methods. Problem 10.4.

7 Tuesday	11.2	The wave equation. Problem 5.11.
7 Wednesday	11.3, 11.4	Scalar hyperbolic equations. Hyperbolic systems.
7 Friday	11.4	Hyperbolic systems

8 Tuesday	12	Finite difference methods for hyperbolic problems
8 Wednesday	13.1	FEM for hyperbolic problems
8 Friday		No lecture.

Important theorems:

A.4, A.6, 3.1, 3.2, 3.6, 3.8, 5.3, 5.4, 5.5, 5.6, 8.1, 8.2, 8.3, 8.4, 8.5, 8.6, 8.7, 8.8, 10.1, 10.2, 10.5, 11.1, 11.2, 11.3, 11.4, 11.5, 12.1

Hand-in exercises

You should try to do all exercises for each chapter that we study. I invite you to hand in one set of exercise problems according to the list below. Each good set of solutions may give you 1 bonus point, maximally 6 points in the exam.

This will be updated.

Week	Excercises
2	A.7 and A.16
3	3.4 and 3.6
4	5.1 and 5.11
5	8.5
6	one of 10.5 or 10.7
7	one of 11.4, 11.7, 11.10
8

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At the annual examination:
When it is practical a separate review is arranged. The date of the review will be announced here on the course website. Anyone who can not participate in the review may thereafter retrieve and review their exam on Mathematical sciences study expedition, Monday through Friday, from 9:00 to 13:00. Any complaints about the marking must be submitted in writing at the office, where there is a form to fill out.

At re-examination:
Exams are reviewed and picked up at the Mathematical sciences study expedition, Monday through Friday, from 9:00 to 13:00. Any complaints about the marking must be submitted in writing at the office, where there is a form to fill out.