Week

Chapter

Contents

1  DM 1 
Introduction, vector spaces, completeness,
linear mappings 
2 
DM 1, FP 
Fixed point theory 
3 
FP, DM 2, DM 3 
Fixed point theory (cont), L^pspaces, Hilbert spaces 
4 
LP, DM 3 
Hilbert spaces (cont) 
5 
DM 4 
Linear operators on Hilbert spaces, spectral
decomposition 
6 
DM 4, S 
Compact operators, spectral theory 
7 
DM 5, ODE 
Applications to ODE 
Week

Excersises 
1 
DM 1: 1, 5, 13, 14, 35, 36, 37, 40,
45 
2 
E 1.2: 11, 12, 13, 17 E 1.4: 2, 6, 7, 14, 17, 18 
3 

4 

5 

6 

7 
The written exam consists of 6 problems, where 3
is of
a more theoretical nature.
To pass the exam you need to score at least 10 point, the
bonus points included. For more information see info.
You should be able to state and explain all
definitions and
theorems given in the course and also apply them in problem solving.
See studieportalen for time and place for the exam.
During the exam the following aids are permitted: none
Bring ID and receipt for your student union fee.
Solutions to the exam will be published at the course
home
page after the exam.
You will be notified the result of your exam by email from LADOK (This
is done automatically as soon as the exams have been marked an the
results are registered.)
The exams will then be kept at the students' office in the Mathematical
Sciences building.
Check that the number of points and your grade given on the exam and
registered in LADOK coincide.
Complaints of the marking should be written and handed in at the
office. There is a form you can use, ask the person in the office.).
The following link will tell you all about the examination room rules at Chalmers: Examination room instructions