Messages
The url of this page is http://www.math.chalmers.se/Math/Grundutb/GU/MMG710/H14/



The messages will be posted here in reversed chronological order.

                    Monday Nov 10, MVH 12, 12:00.

        when you can also ask questions on the results/grading. Afterwards  you may also get the exams back from the reception.








            G. B. Folland: Fourier analysis and its applications, American Mathematical Society, 1992 (also published by Wadsworth & Brooks/Cole).

You may try to buy/borrow the textbook on your own. (By some reason the Chalmers book store Cremona will not handle the order of the text book)

Teachers
Examiner:    Genkai Zhang
Files

             Week 1-2 (Fourier Series): Elementary-Ex-Fourier-Series

            Week 2-3 (Uniform and L^2-Convergence): Elementary-Ex-Chapt3

            Week 3-4 (Sturm-Liouville problem and PDE): Elementary-Ex-Chapt4

            Week 5-6 (Fourier Transform. L^p-spaces): Elementary-Ex-Chapt7
   
           




Literature
G. B. Folland: Fourier analysis and its applications, American Mathematical Society, 1992 (also published by Wadsworth & Brooks/Cole).


Preliminary programme
Lectures on Tuesdays/Thursdays, exercise classes Mondays/Wednesdays. To benefit from the exercise classes you should prepare at least a few of the suggested problems before the class.

A preliminary planning:

Lectures

(# of Study Weeks = 7, Week 1= 01/09-07/09)

Day Literature
Contents
Week 1.

Tu 2/9
1.1-1.3
Introduction, Separation of variables
Th 4/9
2.1
Fourier series
Week 2.

Tu 9/9
2.2, 2.4
Inversion theorem
Th 11/9
2.3
Further properties of Fourier series
Week 3.

Tu 16/9
2.5, 2.6
Heat and wave equation, Gibbs phenomenon
Th 18/9
3.1-3.4,
L2 theory of Fourier series
Week 4.

Tu 23/9
3.5
Sturm-Liouville problems
Th 25/9
4.1-4.3
Inhomogeneous boundary value problems
Week 5.

Tu 30/9
7.1-7.2
Fourier transform
Th 2/10
7.1-7.2, continued
Fourier transform, theory
Week 6.
 
Tu 7/10
8.1-8.2
Laplace transform
Th 9/10
 7.3 pp. 229-231. 8.3 pp 273-279
Applications of Fourier and Laplace transform
Week 7.
 
Tu 14/10
 4.4
Harmonic functions. Poisson intergral formula
Th 16/10

Repetition


Exercise classes

  [F] refers to Folland's book and [E] to the additional exercises.

Day Exercises
Week 1.

Wedn 3/9
[E] 1,2, [F] 1.1.1, 1.1.5,  1.1.6,   1.2.4,   1.3.1,  1.3.4,   1.3.7
Week 2.

 Mon 8/9
Exercies from Wednesday and [F] Table 1: 2, 8, 20, [E]3, 4
Wedn 10/9
[F] 2.2.2,   2.2.4,    2.4.3,   2.4.7,   2.4.11, [E] 5, 6, 86
Week 3.

M 15/9
[F] 2.3.2,  2.3.3,   2.3.5, [E] 8-10, 31-32.
Wedn 17/9
F. 2.3.2,  2.3.5,               [E] 13, 15

Week 4.

 Mon 22/9
  [E] (continued form the earlier ones)
[F] 2.5.1,   2.5.5,                [E]16-18
Wedn 24/9
[F] 3.3.10,   3.4.6,   3.4.7,    [E]36-39
Week 5.

 Mon 29/9
[F] 3.5.1,    3.5.2,     3.5.7,    [E] 51-53
Wedn 1/10
[F] 4.2.3,     4.3.6,                 [E]25-28
Week 6.

 Mon 6/10
[F] 7.1.1,      7.2.2,     7.2.3,   7.2.12,      [E]54ace, 56, 58.
Wedn 8/10
[F] 7.2.13ab,   7.3.1,     [E] 60cd, 64, 67, 76.
Week 7.

 Mon 12/10
[E] E 74-75, 78-79, 81
Course evaluation metting
Wedn 15/10
[E] Problems from earlier exams




Examination
Written examination with total 24 points.  One can get max 2 bonus points for the oral and written presentation of the assigned exercises, the bonus
can also be added to gain the grade G (Pass) but not VG (Very Good).

Grade: 

MMG710 (GU students), grades are G (12-17 points) and VG (18-24 points).

TMA362 (Chalmers students), grades are 3 (12-14 points), 4 (15-17 points) and 5 (18-24 points).

A sheet of relevant formulas will be attached to the exam. No calculator or handbook is allowed.

Date/Time/Venue: Monday 27 October, 8:30-12:30. V-building.
Course evaluation

The student representatives are

Leila Jaber, leilaj@student.chalmers.se
Egil Martinsson, egil.martinsson@gmail.com
Janina Schuh, janina.schuh@freenet.de

You may address your feedback/criticisms to them or directly to me - all feedback welcome.

There will be a web-questionare available on the GU platform GUL. You may login in there and complete before the deadline, which is usually two-three
weeks after the final exam.


























Old exams
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091024


100109
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120112
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Last modified: Tue Jul 29 14:27:58 CEST 2014