TMA362/MMG710 Fourier analysis
The exam starts at 14.00. The zoom link:
https://chalmers.zoom.us/j/69476110727 (Links to an external site.)
works from 13.30. Try to make sure that you are there early to show your IDs.
Exam (available from 14.00):
Solutions will be published around 18.30 (you have 30 min after 18.00 to scan your solutions).
Instructions:
More information is available here:
Course PM
The course consists of
1. Lectures
2. Problem sessions (Thursdays)
3. Home assignments (4 in total - these can be found in the PM).
Additional information, such as learning outcomes, teachers, literature and examination, can be found in the separate course PM.
Exams
Exam Monday Oct 28, 2019: Exam + Solutions
Exam Thursday Jan 9, 2020: Exam + Solutions
Program
The schedule of the course can be found in TimeEdit.
Lectures
Lecture notes (LN) (updated regularly).
Additional exercises from Folland's book (AE) (Note that the definition of the Fourier transform in this book lacks the 2\pi-factor, hence the formulas are slightly different from ours).
Abbreivation: Lecture notes (LN), Stein-Shakarchi (SS).
Before the exam, please take a look at the following list of skills that you are to acquire.
Day | Topics | Recommended exercises |
---|---|---|
Tuesday 3/9 13.15-15.00 | Intro to HA1. Fejer's Theorem I | LN 1-7, SS 4,5,6,11 [Chapter 2]. Solved examples (LN): 1,3,6 |
Wednesday 4/9 15.15-17.00 |
Fejer's Theorem II. | |
Thursday 5/9 8.00-09.45 |
Problem session | |
Monday 9/9 13.15-15.00 |
Parseval's Theorem I | LN 8-14, SS 3, 6, 9 [Chapter 3]. Solved examples (LN) 9,10,13,15 |
Tuesday 10/9 13.15-15.00 |
Parseval's Theorem II | |
Wednesday 11/9 15.15-17.00 |
Various constructions | |
Thursday 12/9 8.00-9.45 |
Exercise session
|
AE 36,38,39,41,44,45,47 Solved examples: 39,41a,44 |
Monday 16/9 10.00-11.45 |
Fourier transforms on the real line I: Fejer's Theorem |
LN 18-25, AE 59,60,61,62,65 Solved examples: LN 18-23 |
Tuesday 17/9 13.15-15.00 |
Fourier transforms on the real line II: Plancherel's Theorem. |
|
Wednesday 18/9 15.15-17.00 |
Fourier transforms on the real line II: Poisson summation |
|
Thursday 19/9 8.00-9.45 |
Exercise session |
|
Monday 23/9 10.00-11.45 |
PDEs |
AE: 11-17, 25-28 + Old Exams (last questions). |
Tuesday 24/9 13.15-15.00 |
PDEs |
|
Wednesday 15.15-17.00 |
Heisenberg's uncertainty relation |
|
Thursday 8.00-9.45 |
Exercise session |
|
Monday 10.00-11.45 |
Fourier transforms in higher dimensions I |
SS: 1,2,4,5,8,13 and Problem (SS): 1,2. |
Tuesday 13.15-15.00 |
Fourier transforms in higher dimensions II |
|
Wednesday 15.15-17.00 |
Radon transform |
|
Thursday 8.00-9.45 |
Exercise session |
|
|
Laplace |
|
|
Laplace |
|
|
Laplace |
|
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Laplace |
AE 76-81 |
Recommended exercises
Day | Exercises |
---|---|
Course summary:
Date | Details | Due |
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