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At 12.15 on Tuesday November 27 in MVL14 there will be an opportunity to review your  examination papers
and the grading of those (="tentagranskning").

Welcome to the course. The setup will be the same as last year.
The schedule for the course can be found via the link to webTimeEdit top of the page.

Teachers

Course coordinator: Peter Kumlin
Teaching assistant: --
lab Supervisor: --

Course litterature

[DM] L.Debnath/P.Mikusinski: Hilbert Spaces with Applications, 3rd ed, Chapters 1-5
[FPT] A Note on Fixed Point Theory
[LPT] A Note on L^p-spaces
[ODE] A Note on ODEs
Lecture notes  [ST]  to be presented here later.
Additional exercises can be found in [E].


Programme


Lectures
 Week  Chapter
 Contents
     1
 DM1
 Introduction, vector spaces, completeness
     2
 DM1, FPT
 Banach spaces, linear mappings, fixed point theory
     3
 FPT, LPT
 Fixed point theory (cont.), L^p-spaces
     4
 LPT, DM3
 L^p-spaces, Hilbert spaces
     5
 DM4
 Linear operators on Hilbert spaces
     6
 DM4, ST
 Compact operators, spectral theory
     7
 DM5, ODE
 Applications to ODE
     8

 Examination


Recommended exercises
 Week  Excersises
     1
 DM1: 1, 5, 13, 14, 35, 36, 37, 40, 45
     2
 E1.2: 11, 12, 13, 17
 E1.3: 11
     3
 E1.4: 2, 6, 7, 14, 17, 18
     4
 E1.5: 1, 9, 10, 11, 12, 19, 35
     5
 E1.6: 2, 3, 4, 5, 6, 9, 14, 16, 29
     6
 E1.6: 42, 48
     7
 E1.7: 1, 2, 16, 24, 25
     8
 

Computer labs

No computer labs or Mathlab exercises in this course.


Reference literature:
Tobin A. Driscoll, Learning MATLAB, ISBN: 978-0-898716-83-2 (The book is published by SIAM)
Course requirements

Assignments

During the course there will be three homework assignments. They are not mandatory but can give up to 4 bonus
points for the written exam. The expiring date for the bonus points is 2013-09-15.

Homework assignment 1: Deadline 2012-09-21
Homework assignment 2: Deadline 2012-10-08
Homework assignment 3: Deadline 2012-10-17

Examination

The written exam consists of 6 problems where 3 of them are of a more theoretical nature.
To pass the exam you need to score at least 10 points (bonus points included) out of 25 points.

You should be able to state and explain all definitions and state and prove all theorems given in the course
and also apply them in problem solving.
More information on the written exam can be found here.

Solutions to the exam will be published on the course home page after the exam.

Examination procedures

In Chalmers Student Portal you can read about when exams are given and what rules apply on exams at Chalmers.
At the exam, you should be able to show valid identification.
Before the exam, it is important that you report that you want to take the examination. You do this at Chalmers Student Portal.

Notice of result is obtained only by email via Ladok. (Not verbally at study expedition.) This is done automatically when the results are registered. Check that you have the right grades and score.

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.

Old exams

Most recent exams:

2011-10-19  solutions
2012-01-12
2012-09-01