TMA4170 Fourier Analysis - Spring 2025
Welcome to TMA4170 Fourier Analysis!
Messages
| Date | Title | Message |
|---|---|---|
| 19.5. | Exam info | OBS New: Use a black/blue permanent marker or pen to fill out question codes, exam information, and answers to questions. Pencil or red ink not allowed. School exam with hand drawings - for students - Kunnskapsbasen - NTNU Aids: Approved simple calculator and one handwritten sheet of A4 paper is allowed on the exam. You can write on both sides, but no printing or copying is allowed. Language: English only. |
| Office hours | … before the exam: Tuesday 27.05. 10:15-12:00 in F6 Wednesday 28.05. 14:15-16:00 in F6 |
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| 22.4. | Lecture notes week 10 | Per found a mistake concerning the Fourier transform of convolutions in \(L^2(\mathbb R)\) (handwritten lecture notes 6.3.2025). Thm 1 and proof and Rem 3 has now been corrected. See below. |
| 14.4. | Solutions | … to Exercise 10 and 12 P1 are now posted on Balckboard. Please submit solutions to SS 6.6 Exercises: 6 (group 1), 7 (group 4), 9 (group 5) ASAP. |
| 11.4. | Today's lecture | We did: Exam 2021 Problem 3, and Exercise 9 P1, P2. |
| Solutions | … to Exercise 11 posted on Blackboard. | |
| 10.4. | Exam | New NTNU rule: You need to use a black or blue permanent marker or pen when filling out the question code, exam information, and answers to questions. Pencil or red ink are not allowed. School exam with hand drawings - for students - Kunnskapsbasen - NTNU (My guess is that this is for scanning purposes.) Aids: Approved simple calculator and one handwritten sheet of A4 paper is allowed on the exam. You can write on both sides. Language: English only. |
| 9.4. | Office hours | … before the exam: Tuesday 27.05. 10:15-12:00 in F6 Wednesday 28.05. 14:15-16:00 in F6 |
| Exam | One handwritten sheet of A4 paper is allowed on the exam. You can write on both sides. | |
| Final curriculum | … posted under 'Course info' in menu. | |
| Reference group | Please contact the reference group (see menu) if you have feedback on this course. We aim to have a last meeting next week or after Easter. | |
| 7.4. | Todays lecture | We did: Exam 2021 Problem 1, and the SS 2.6:10, SS 3.3: 13, 15, 17, Exercise 5 P1. In the handwritten notes, you find additional solutions to Exercise 3 P1 and Exercise 5 P2. |
| 3.4. | Todays lecture | … cancelled due to low attendance. Homework: Read my handwritten lecture notes. They will be posted today. |
| Next week | Monday 7.4.: Lecture as usual (B1) Thursday 10.4.: No lecture (Espen in faculty board meeting). Friday 11.4.: Lecture instead of exercise class, 14:15-16:00 in F6 !! I plan to work on exam (relevant) problems, from previous exams and/or from the exercises. |
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| Exercise 11 and 12 | Only supervision this week, in exercise class Friday 4.4. | |
| Exercise 12 | Solutions: I suggest to give one problem to each group: Group 1 - problem SS 6.6: 6 Group 4 - problem SS 6.6: 7 Group 5 - problem SS 6.6:9 Group 6 - P1. |
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| Office hours | Wednesday 28.05. 14:15-16:00 in F3. Monday 26.05. 10:15-12:00 OR Tuesday 27.05. 14:15-16:00 ? Other preferences? We decide in lectures next week. |
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| 1.4. | Solutions | … to Exercise 8 posted on Blackboard. |
| Thursday 3.4.: | Last lecture with new material (FFT). | |
| 24.3. | Thursday Friday | 27.03. no lecture (Espen travelling) 28.3. no exercise class (postponed one week) |
| Exercises | All 12 exercises are now published, see 'Exercises' in the menu. | |
| Applications | in \(\mathbb R^d\): See Handwritten lecture note week 13 AND Exercise 12. | |
| Solutions | … to Exercise 9 posted on Blackboard. | |
| 17.3. | Next week | Lecture Monday 24.3.: As normal. Lecture Thursday 27.3.: Cancelled (I am travelling). Exercise class Friday 28.3.: Postponed one week to 4.4. Exercise 11 and 12 will both be superviced Friday 4.4. |
| 10.3. | Solutions | … to (some problems in) Exercises 5, 6, 7 are now posted on Blackboard. |
| Reference group | Meeting 2 Friday 14.3. Contact the reference group if you have feedback for the course. |
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| 24.2. | Exercise class 28.2. | No exercise class on Friday (28.2.). I am travelling. Exercise 7 and 8 will both be superviced Friday 7.3. |
| 17.2. | Solutions | Solutions to Exercises are now available only in Blackboard! Some solutions to Exercise 3 and most solutions to Exercise 4 have now been published. Many thanks to the contributors! |
| 13.2. | Exam problems | I plan to use some problems from the exercises on the exam. Note again that the only solutions you will get, are the ones the exercise groups contribute. |
| Exercise Groups | … should try to hand in solutions one week after the date for the Exercise, see 'Exercises' in the menu. So solutions to Exercise 4 should preferably be handed in Friday 14.2. |
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| Exercises | Exercise 1-6 have now been posted. See 'Exercises' in the menu. | |
| 30.1. | Reference group | Meeting 1 Friday 7.2. |
| Exercise Groups | The links to the groups are now working again! | |
| Solutions | Exercise groups should try to hand in solutions one week after the date for the Exercise, see 'Exercises' in the menu. So solutions to Exercise 2 should preferably be handed in today. | |
| 24.1. | Reference group | We have one! Benjamin (BMAT) and Henning (MTFYMA) has volunteered - thank you very much! Contact them (or me) if you have feedback on the course. See 'Reference group' in the menu for contact information. |
| Slides/notes | Slides and scans of handwritten lecture notes can be found below. | |
| Solutions 1 | Solutions to Exercise 1 now published - thanks to Exercise group 1! See 'Execises' in the menu. | |
| 16.1. | Groups | Still some people have not signed up, please to so here. I will also reduce the number of groups by combining some existing groups. Take a look and let me know if you disagree. Note again that how much your group does is up to you, and everything you do will help also the other students. |
| Reference group | Will be appointed next Thursday (23.01.2025). I am looking for 2 volunteers - send me an email/tell me in class if you are interested. Light workload: 3 meetings (\(<45\) mins) and one (\(<1\) page) final report. |
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| Exercise 2 | Posted under 'Exercises' in the menu. (I may add problems, but not remove) | |
| 9.1. | Notes | I will post my handwritten notes (Fridays) - at least when I deviate much from the book. See below under 'lectures'. This weeks discussion on uniform convergence and continuity can be found here. |
| Exercise 1 | Posted under 'Exercises' in the menu. | |
| Groups | Please sign up for exercise groups here by next Thursday (16.01.) |
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| 3.1. | First lecture | Monday 06.01.2025 at 8:15 in B1 |
| First exercise class | Friday 16.01.2025 at 14:15 in F6 | |
| Homework: | Read chapter 1 and the appendix in SS. Review basic complex analysis as in Exercise 1-5 in section 1. |
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| Mathematics 4 or MA2106 | Definitions for Fourier series and transforms, examples, and applications to PDEs are known from TMA4120 Mathematics 4K or MA2106 Complex Function Theory and Differential Equations. This includes separation of variables and transform methods for solving wave, heat, and Laplace equation equations. |
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| Tentative plan | … of lectures can be found in the menu under 'Plan of Lectures' (updated weekly) |
Lecturer:
- Office hours: During exercise classes
Lectures:
Exercises:
- Friday 14:15-16:00, F6
Espen present from 14:15-15:00.