Latest news
 Here is the recent written exam 2007-10-24 together with solutions.
Examiner and lecturer
 Peter Kumlin   email: kumlin(at)chalmers(dot)se
Course literature
Main text book
[DM] L.Debnath/P.Mikusinski: Hilbert Spaces with Applications 3rd ed. Elsevier Academic Press
                   Chapters 1 - 5
Lecture notes :  [FP] A Note on Fixed Point Theory
                                    [LP] A Note on L^p-spaces
                          [ODE] A Note on ODE
                                    [S] A Note on Spectral Theory
          [E] Exercises
Supplementary literature
There is a vast literature on functional analysis.  Here is a list of some text books on the same level:
          D.H.Griffel: Applied Functional Analysis, Dover
E.Kreyszig:  Introductory Functional Analysis with Applications, Wiley
M.Reed/B.Simon: Methods of Modern Mathematical Physics, I: Functional Analysis, Academic Press
N.Young: An Introduction to Hilbert Space, Cambridge University Press
Preliminary plan for lectures and classes

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

Recommended excercises

  DM 1:  1, 5, 13, 14, 35, 36,  37, 40, 45
  E 1.2: 11, 12, 13, 17
  E 1.4: 2, 6, 7, 14, 17, 18
Computer labs and Matlab excercises
No computer labs or Matlab exercises in this course.

To pass this course you should pass the written exam. During the course there will be three homework assignments.
Homework assignment 1:   Deadline September 27
Homework assignment 2:  Deadline  October  5
Homework assignment 3:  Deadline  October  18
They are not compulsory  (but recommended) and can give 3  bonus points for the written exam.

Written examination

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

Old exams
Here you will find some old exams with  some solutions