TMA026 Partial differential equations, advanced course, 2004

Plan of lectures and exercises

Lectures

week 1.
Monday: chapter 1-2
Wednesday: chapter 2

week 2.
Monday: appendix A
Wednesday: chapter 3

week 3.
Monday: chapter 3
Wednesday: chapter 5

week 4.
Monday: chapter 5
Wednesday: chapter 6

week 5.
No lectures this week. Read chapters 7, 8.1, 8.3, 8.4.

week 6.
Monday: chapter 6
Wednesday: chapter 8

week 7.
Monday: chapter 10
Wednesday: chapter 12

Homework

week 2: Choose two from chapter 2 and two from the appendix. Suggested: 2.4, 2.8, A.4, A.13

week 3: Choose four from chapter 3. Suggested: 3.4, 3.8, 3.10, 3.11, 3.5, 3.9

week 4: Choose four from chapter 5. Suggested: 5.1, 5.5, 5.6, 5.7 5.12, 5.12

week 5: Hand in two from chapter 8: suggested 8.5, 8.10 (both by the energy method) (hint for 8.5: multiply the equation by t) (hint for 8.10: differentiate the equation with respect to t)

week 6: Do the following from chapter 8: 8.10 by eigenfunction expansion, 8.8 by the energy method, 8.14 by the maximum principle.

week 7: Do the following from chapter 10: 10.4 (a) (additional hint: use problem 8.10 also), 10.6.

I will also appreciate if you report mistakes and misprints in the textbook and make suggestions for improvement, especially new exercises.

Old exams: 031022, solutions, 021021 (ps), 981023 solutions.

Very old exams: 901101 solutions, 921104 solutions, 931104 solutions, 940108
These exams were written for another course which only covered time-dependent problems.

/stig