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.
 4/11. The examinations have been
graded. However it takes some time to get the result
registered on LADOK or so, and hopefully it will be done by
Monday Nov. 10. You can get your exams back
on
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.
 20/10. No lecture today Monday. We'll have 1) a question
session Tuesday 21/Oct, 13:0015:00, outside the lecture room
Euler, and 2) office hours, Wednesday 22/Oct. 1315. (My
office is MVH5023, the Hbuillding of MV's LHbuildings, 4th
floor).
 17/10. Examination is on Monday 27 October,
8:3012:30. Vbuilding.
 16/10. To help the repetition I've uploaded some more
exercises; see Files below
 15/09. Some more elementary exercises on Chapter 3 are
uploaded.
 08/09. Course participants are divided into 5 groups,
each being assigned two exercises along with the dates for
oral presentation. Max 2 bonus points will be given for both
the oral and written presentation. The bonus can be added to
reach G (Pass) but not VG (Very Good)
 05/09. Some more (elementary) exercises are posted
under the Exercise section below. Please try them to get some
warmup.
 01/09. I'll follow some of the last years' lecture notes by
my colleague Hjalmar Rosengren, in particular on Laplace
transform and Bessel functions. You may read those notes in
advance.
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)
 29/08. Course schedule is given under the subtitle
"Schema" (= "Schedule" in Swedish).
 Additional exercises
(will be given in due time). I may post some more elementary
exercises (see below)
 Supplementary and elementary exercises:
Week 12 (Fourier Series):
ElementaryExFourierSeries
Week 23 (Uniform and L^2Convergence):
ElementaryExChapt3
Week 34 (SturmLiouville problem and PDE):
ElementaryExChapt4
Week 56 (Fourier Transform. L^pspaces):
ElementaryExChapt7
G. B. Folland: Fourier analysis and its
applications, American Mathematical Society, 1992 (also published
by Wadsworth & Brooks/Cole).
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= 01/0907/09)
Day 
Literature

Contents

Week
1.
Tu 2/9

1.11.3

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

3.13.4,

L2 theory of Fourier
series

Week
4.
Tu 23/9

3.5

SturmLiouville problems

Th
25/9

4.14.3

Inhomogeneous boundary
value problems

Week
5.
Tu 30/9

7.17.2

Fourier transform

Th
2/10

7.17.2, continued

Fourier transform,
theory

Week
6.
Tu 7/10

8.18.2

Laplace transform

Th
9/10

7.3 pp. 229231.
8.3 pp 273279

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] 810, 3132.

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]1618

Wedn
24/9

[F] 3.3.10,
3.4.6, 3.4.7, [E]3639

Week
5.
Mon 29/9

[F]
3.5.1, 3.5.2,
3.5.7, [E] 5153

Wedn
1/10

[F]
4.2.3, 4.3.6,
[E]2528

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 7475, 7879, 81
Course evaluation metting

Wedn
15/10

[E] Problems from
earlier exams

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 (1217 points) and VG (1824
points).
TMA362 (Chalmers students), grades are 3 (1214 points), 4 (1517
points) and 5 (1824 points).
A sheet of relevant formulas
will be attached to the exam. No calculator or handbook is
allowed.
Date/Time/Venue: Monday 27 October, 8:3012:30. Vbuilding.