TMA026/MMA430 Partial differential equations - second course

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Exam in August 

There will be an oral exam in august. Please contact axel@chalmers.se for details.

Exam on the 2nd of June

Detailed information on the exam can be found in the announcement "Information on the exam" above. The exam will be available to you at 0830 on the 2nd of June under Assignments here on canvas. It is called "Exam". The exam is 4 hours and you will get an extra 30 minuts to scan your solutions into one pdf file. You have to be logged on to the zoom meeting: https://chalmers.zoom.us/j/61977970931

during the entire exam. I will be available to answer questions on zoom during the exam. 

 

This page contains the program of the course: lectures and exercise sessions. Other information, such as learning outcomes, teachers, literature and examination, are in a separate course PM.

Program

The schedule of the course is in TimeEdit.

Lectures

Day Sections Content
23/3 A.1 L01_720.mov Functional analysis
25/3 A.2 L02_720.movSobolev spaces
27/3

E01.mkv (Solutions)

Exercises:A.6,A.11,A.15
30/3 3.1,3.5,3.7 L03_720.movElliptic problems
1/4 5.1-5.3 L04_720.movFEM
3/4

E02.mkv (Solutions)

Exercises: 3.8, 3.9, 3.11
20/4 5.4-5.6 L05_720.movAdaptive algorithms
24/4

E03.mkv (Solutions)

Exercises: 5.3, 5.6, 5.11
27/4 6.1 L06_720.movEigenvalue problems
29/4 6.2 L07_720.movFEM for eigenvalue problems
1/5

E04.mkv (Solutions)

Exercises: 6.1,6.3
4/5 8.2 L08_720.movParabolic problems: eigenfunction expansion
6/5 8.3 L09_720.movParabolic problems: variational formulation
8/5

E05.mkv (Solutions)

Exercises: 8.6, 8.10,8.16
11/5 10.1 L10_720.movFEM for parabolic problems: semi discrete
13/5 10.2 L11_720.movFEM for parabolic problems: fully discrete
15/5

E06.mkv (Solutions)

Exercises: 10.1, 10.3, 10.4
18/5 notes L12_720.movSemi-linear problems
20/5 notes L13_720.movSemi-linear problems

 

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Recommended exercises

Day Exercises
27/3 A.9, A.16, A.17
3/4 3.5, 3.10, 3.13
24/4 5.4a, 5.5, 5.7, 5.17
29/4 6.5, 6.7
8/5 8.4, 8.5, 8.11
15/5 10.6, 10.8

Important theorems:

A.4, A.6, 3.6, 3.8, 5.3, 5.4, 6.1, 6.2, 6.3, 6.5, 6.7, 8.3, 8.4, 8.5, 8.6, 10.1, 10.2, 10.5

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Course summary:

Date Details Due