Analysis III
MATH-202(c)
Media
MATH-202(c) Analysis III | Thursday | Fall 24
31.08.2024, 22:10
55770
MATH-202(c) Analysis III | Week 14: Tuesday 17 December 2024
18.12.2024, 14:53
MATH-202(c) Analysis III | Tuesday | Fall 24
18.12.2024, 14:53
MATH-202(c) Analysis III | Week 13: Thursday 12 December 2024
12.12.2024, 16:08
MATH-202(c) Analysis III | Thursday | Fall 24
12.12.2024, 16:08
MATH-202(c) Analysis III | Week 13: Tuesday 10 December 2024
10.12.2024, 21:10
MATH-202(c) Analysis III | Tuesday | Fall 24
10.12.2024, 21:10
MATH-202(c) Analysis III | Week 12: Tuesday 03 December 2024
03.12.2024, 16:17
MATH-202(c) Analysis III | Tuesday | Fall 24
03.12.2024, 16:17
MATH-202(c) Analysis III | Week 11: Thursday 28 November 2024
28.11.2024, 14:11
MATH-202(c) Analysis III | Thursday | Fall 24
28.11.2024, 14:11
MATH-202(c) Analysis III | Week 11: Tuesday 26 November 2024
26.11.2024, 15:21
MATH-202(c) Analysis III | Tuesday | Fall 24
26.11.2024, 15:21
MATH-202(c) Analysis III | Week 10: Thursday 21 November 2024
22.11.2024, 15:10
MATH-202(c) Analysis III | Thursday | Fall 24
22.11.2024, 15:10
MATH-202(c) Analysis III | Week 10: Tuesday 19 November 2024
20.11.2024, 15:59
MATH-202(c) Analysis III | Tuesday | Fall 24
20.11.2024, 15:59
MATH-202(c) Analysis III | Week 09: Thursday 14 November 2024
14.11.2024, 16:19
MATH-202(c) Analysis III | Thursday | Fall 24
14.11.2024, 16:19
MATH-202(c) Analysis III | Week 09: Tuesday 12 November 2024
12.11.2024, 14:52
MATH-202(c) Analysis III | Tuesday | Fall 24
12.11.2024, 14:52
MATH-202(c) Analysis III | Week 08: Thursday 7 November 2024
08.11.2024, 13:03
MATH-202(c) Analysis III | Thursday | Fall 24
08.11.2024, 13:03
MATH-202(c) Analysis III | Week 08: Tuesday 5 November 2024
05.11.2024, 13:46
MATH-202(c) Analysis III | Tuesday | Fall 24
05.11.2024, 13:46
MATH-202(c) Analysis III | Week 07: Thursday 31 October 2024
31.10.2024, 15:07
MATH-202(c) Analysis III | Thursday | Fall 24
31.10.2024, 15:07
MATH-202(c) Analysis III | Week 07: Tuesday 29 October 2024
29.10.2024, 18:10
MATH-202(c) Analysis III | Tuesday | Fall 24
29.10.2024, 18:10
MATH-202(c) Analysis III | Week 06: Thursday 17 October 2024
18.10.2024, 11:08
MATH-202(c) Analysis III | Thursday | Fall 24
18.10.2024, 11:08
MATH-202(c) Analysis III | Week 06: Tuesday 15 October 2024
15.10.2024, 14:52
MATH-202(c) Analysis III | Tuesday | Fall 24
15.10.2024, 14:52
MATH-202(c) Analysis III | Week 05: Thursday 10 October 2024
10.10.2024, 13:28
MATH-202(c) Analysis III | Thursday | Fall 24
10.10.2024, 13:33
MATH-202(c) Analysis III | Week 05: Tuesday 08 October 2024
08.10.2024, 12:41
MATH-202(c) Analysis III | Tuesday | Fall 24
08.10.2024, 12:48
MATH-202(c) Analysis III | Week 04: Thursday 03 October 2024
08.10.2024, 07:13
MATH-202(c) Analysis III | Thursday | Fall 24
08.10.2024, 07:13
MATH-202(c) Analysis III | Week 04: Tuesday 01 October 2024
01.10.2024, 15:26
MATH-202(c) Analysis III | Tuesday | Fall 24
01.10.2024, 15:26
MATH-202(c) Analysis III | Week 03: Thursday 26 September 2024
27.09.2024, 12:14
MATH-202(c) Analysis III | Thursday | Fall 24
27.09.2024, 12:14
MATH-202(c) Analysis III | Week 03: Tuesday 24 September 2024
25.09.2024, 15:07
MATH-202(c) Analysis III | Tuesday | Fall 24
25.09.2024, 15:07
MATH-202(c) Analysis III | Week 02: Thursday 19 September 2024
19.09.2024, 16:14
MATH-202(c) Analysis III | Thursday | Fall 24
19.09.2024, 16:14
MATH-202(c) Analysis III | Week 02: Tuesday 17 September 2024
17.09.2024, 13:21
MATH-202(c) Analysis III | Tuesday | Fall 24
17.09.2024, 13:21
MATH-202(c) Analysis III | Week 01: Thursday 12 September 2024
12.09.2024, 15:16
MATH-202(c) Analysis III | Thursday | Fall 24
12.09.2024, 15:16
MATH-202(c) Analysis III | Week 01: Tuesday 10 September 2024
10.09.2024, 13:31
Introduction and Chapter 1
MATH-202(c) Analysis III | Tuesday | Fall 24
10.09.2024, 13:31
23.12.21
21.12.2023, 13:22
MATH-202(c) jeudi2023-2024 semestre 1
21.12.2023, 13:26
23.12.19
19.12.2023, 12:15
MATH-202(c) mardi 2023-2024 semestre 1
19.12.2023, 12:53
23.12.14
14.12.2023, 13:09
MATH-202(c) jeudi2023-2024 semestre 1
14.12.2023, 13:27
Lightboard 2-1 Gradient
13.12.2023, 12:17
Lightboard 2-8 Summary using nabla symbol
13.12.2023, 12:14
Lightboard 2-7 Curl in 2D
13.12.2023, 12:12
Lightboard 2-6 Curl in 3D
13.12.2023, 12:10
Lightboard 2-5 Laplacian
13.12.2023, 12:09
Lightboard 3-4 Navier-Stokes
13.12.2023, 12:08
Lightboard 0-1 Introduction
13.12.2023, 12:07
23.12.12
12.12.2023, 12:06
MATH-202(c) mardi 2023-2024 semestre 1
12.12.2023, 12:47
23.12.07
07.12.2023, 16:51
MATH-202(c) jeudi2023-2024 semestre 1
07.12.2023, 16:51
23.12.05
05.12.2023, 15:42
MATH-202(c) mardi 2023-2024 semestre 1
05.12.2023, 15:42
23.11.30
30.11.2023, 14:29
MATH-202(c) jeudi2023-2024 semestre 1
30.11.2023, 14:29
23.11.28
28.11.2023, 15:18
MATH-202(c) mardi 2023-2024 semestre 1
28.11.2023, 15:18
23.10.24
26.11.2023, 18:08
23.10.31
25.11.2023, 17:32
MATH-202(c) mardi 2023-2024 semestre 1
25.11.2023, 17:32
23.11.21
25.11.2023, 17:01
MATH-202(c) mardi 2023-2024 semestre 1
25.11.2023, 17:01
23.11.23
25.11.2023, 16:53
MATH-202(c) jeudi2023-2024 semestre 1
25.11.2023, 16:53
23.11.16
25.11.2023, 16:48
MATH-202(c) jeudi2023-2024 semestre 1
25.11.2023, 16:48
Lightboard 3-3 Maxwells equations
24.11.2023, 09:34
Lightboard 3-2 Laplace poisson equation
24.11.2023, 09:34
Lightboard 3-1 Vector analysis
24.11.2023, 09:34
Lightboard 2-3 Example for divergence
24.11.2023, 09:34
23.11.14
14.11.2023, 12:15
MATH-202(c) mardi 2023-2024 semestre 1
14.11.2023, 12:51
23.10.26
14.11.2023, 02:05
MATH-202(c) jeudi2023-2024 semestre 1
14.11.2023, 02:05
23.11.02
14.11.2023, 01:57
MATH-202(c) jeudi2023-2024 semestre 1
14.11.2023, 01:57
23.10.10
13.11.2023, 17:33
23.10.17
13.11.2023, 16:23
23.10.19
13.11.2023, 16:19
23.10.12
13.11.2023, 16:16
23.11.09
09.11.2023, 13:10
MATH-202(c) jeudi2023-2024 semestre 1
09.11.2023, 13:27
23.11.07
07.11.2023, 12:41
MATH-202(c) mardi 2023-2024 semestre 1
07.11.2023, 12:52
Lightboard 2-4 Divergence explained
06.11.2023, 08:36
Lightboard 2-2 Divergence
06.11.2023, 08:36
Lightboard 1-4 Vector fields
06.11.2023, 08:36
Lightboard 1-3 Scalar fields and level sets
06.11.2023, 08:35
Lightboard 1-2 Scalar fields
06.11.2023, 08:35
Lightboard 1-1 Vector analysis
06.11.2023, 08:34
23.10.03
11.10.2023, 18:08
23.09.26
10.10.2023, 16:12
23.09.28
10.10.2023, 15:50
23.10.05
10.10.2023, 15:44
MATH-202(c) Analysis III | Tuesday | Fall 24
31.08.2024, 22:05
Media
MATH-202(c) Analysis III | Thursday | Fall 24
31.08.2024, 22:10
55770
MATH-202(c) Analysis III | Week 14: Tuesday 17 December 2024
18.12.2024, 14:53
MATH-202(c) Analysis III | Tuesday | Fall 24
18.12.2024, 14:53
MATH-202(c) Analysis III | Week 13: Thursday 12 December 2024
12.12.2024, 16:08
MATH-202(c) Analysis III | Thursday | Fall 24
12.12.2024, 16:08
MATH-202(c) Analysis III | Week 13: Tuesday 10 December 2024
10.12.2024, 21:10
MATH-202(c) Analysis III | Tuesday | Fall 24
10.12.2024, 21:10
MATH-202(c) Analysis III | Week 12: Tuesday 03 December 2024
03.12.2024, 16:17
MATH-202(c) Analysis III | Tuesday | Fall 24
03.12.2024, 16:17
MATH-202(c) Analysis III | Week 11: Thursday 28 November 2024
28.11.2024, 14:11
MATH-202(c) Analysis III | Thursday | Fall 24
28.11.2024, 14:11
MATH-202(c) Analysis III | Week 11: Tuesday 26 November 2024
26.11.2024, 15:21
MATH-202(c) Analysis III | Tuesday | Fall 24
26.11.2024, 15:21
MATH-202(c) Analysis III | Week 10: Thursday 21 November 2024
22.11.2024, 15:10
MATH-202(c) Analysis III | Thursday | Fall 24
22.11.2024, 15:10
MATH-202(c) Analysis III | Week 10: Tuesday 19 November 2024
20.11.2024, 15:59
MATH-202(c) Analysis III | Tuesday | Fall 24
20.11.2024, 15:59
MATH-202(c) Analysis III | Week 09: Thursday 14 November 2024
14.11.2024, 16:19
MATH-202(c) Analysis III | Thursday | Fall 24
14.11.2024, 16:19
MATH-202(c) Analysis III | Week 09: Tuesday 12 November 2024
12.11.2024, 14:52
MATH-202(c) Analysis III | Tuesday | Fall 24
12.11.2024, 14:52
MATH-202(c) Analysis III | Week 08: Thursday 7 November 2024
08.11.2024, 13:03
MATH-202(c) Analysis III | Thursday | Fall 24
08.11.2024, 13:03
MATH-202(c) Analysis III | Week 08: Tuesday 5 November 2024
05.11.2024, 13:46
MATH-202(c) Analysis III | Tuesday | Fall 24
05.11.2024, 13:46
MATH-202(c) Analysis III | Week 07: Thursday 31 October 2024
31.10.2024, 15:07
MATH-202(c) Analysis III | Thursday | Fall 24
31.10.2024, 15:07
MATH-202(c) Analysis III | Week 07: Tuesday 29 October 2024
29.10.2024, 18:10
MATH-202(c) Analysis III | Tuesday | Fall 24
29.10.2024, 18:10
MATH-202(c) Analysis III | Week 06: Thursday 17 October 2024
18.10.2024, 11:08
MATH-202(c) Analysis III | Thursday | Fall 24
18.10.2024, 11:08
MATH-202(c) Analysis III | Week 06: Tuesday 15 October 2024
15.10.2024, 14:52
MATH-202(c) Analysis III | Tuesday | Fall 24
15.10.2024, 14:52
MATH-202(c) Analysis III | Week 05: Thursday 10 October 2024
10.10.2024, 13:28
MATH-202(c) Analysis III | Thursday | Fall 24
10.10.2024, 13:33
MATH-202(c) Analysis III | Week 05: Tuesday 08 October 2024
08.10.2024, 12:41
MATH-202(c) Analysis III | Tuesday | Fall 24
08.10.2024, 12:48
MATH-202(c) Analysis III | Week 04: Thursday 03 October 2024
08.10.2024, 07:13
MATH-202(c) Analysis III | Thursday | Fall 24
08.10.2024, 07:13
MATH-202(c) Analysis III | Week 04: Tuesday 01 October 2024
01.10.2024, 15:26
MATH-202(c) Analysis III | Tuesday | Fall 24
01.10.2024, 15:26
MATH-202(c) Analysis III | Week 03: Thursday 26 September 2024
27.09.2024, 12:14
MATH-202(c) Analysis III | Thursday | Fall 24
27.09.2024, 12:14
MATH-202(c) Analysis III | Week 03: Tuesday 24 September 2024
25.09.2024, 15:07
MATH-202(c) Analysis III | Tuesday | Fall 24
25.09.2024, 15:07
MATH-202(c) Analysis III | Week 02: Thursday 19 September 2024
19.09.2024, 16:14
MATH-202(c) Analysis III | Thursday | Fall 24
19.09.2024, 16:14
MATH-202(c) Analysis III | Week 02: Tuesday 17 September 2024
17.09.2024, 13:21
MATH-202(c) Analysis III | Tuesday | Fall 24
17.09.2024, 13:21
MATH-202(c) Analysis III | Week 01: Thursday 12 September 2024
12.09.2024, 15:16
MATH-202(c) Analysis III | Thursday | Fall 24
12.09.2024, 15:16
MATH-202(c) Analysis III | Week 01: Tuesday 10 September 2024
10.09.2024, 13:31
Introduction and Chapter 1
MATH-202(c) Analysis III | Tuesday | Fall 24
10.09.2024, 13:31
23.12.21
21.12.2023, 13:22
MATH-202(c) jeudi2023-2024 semestre 1
21.12.2023, 13:26
23.12.19
19.12.2023, 12:15
MATH-202(c) mardi 2023-2024 semestre 1
19.12.2023, 12:53
23.12.14
14.12.2023, 13:09
MATH-202(c) jeudi2023-2024 semestre 1
14.12.2023, 13:27
Lightboard 2-1 Gradient
13.12.2023, 12:17
Lightboard 2-8 Summary using nabla symbol
13.12.2023, 12:14
Lightboard 2-7 Curl in 2D
13.12.2023, 12:12
Lightboard 2-6 Curl in 3D
13.12.2023, 12:10
Lightboard 2-5 Laplacian
13.12.2023, 12:09
Lightboard 3-4 Navier-Stokes
13.12.2023, 12:08
Lightboard 0-1 Introduction
13.12.2023, 12:07
23.12.12
12.12.2023, 12:06
MATH-202(c) mardi 2023-2024 semestre 1
12.12.2023, 12:47
23.12.07
07.12.2023, 16:51
MATH-202(c) jeudi2023-2024 semestre 1
07.12.2023, 16:51
23.12.05
05.12.2023, 15:42
MATH-202(c) mardi 2023-2024 semestre 1
05.12.2023, 15:42
23.11.30
30.11.2023, 14:29
MATH-202(c) jeudi2023-2024 semestre 1
30.11.2023, 14:29
23.11.28
28.11.2023, 15:18
MATH-202(c) mardi 2023-2024 semestre 1
28.11.2023, 15:18
23.10.24
26.11.2023, 18:08
23.10.31
25.11.2023, 17:32
MATH-202(c) mardi 2023-2024 semestre 1
25.11.2023, 17:32
23.11.21
25.11.2023, 17:01
MATH-202(c) mardi 2023-2024 semestre 1
25.11.2023, 17:01
23.11.23
25.11.2023, 16:53
MATH-202(c) jeudi2023-2024 semestre 1
25.11.2023, 16:53
23.11.16
25.11.2023, 16:48
MATH-202(c) jeudi2023-2024 semestre 1
25.11.2023, 16:48
Lightboard 3-3 Maxwells equations
24.11.2023, 09:34
Lightboard 3-2 Laplace poisson equation
24.11.2023, 09:34
Lightboard 3-1 Vector analysis
24.11.2023, 09:34
Lightboard 2-3 Example for divergence
24.11.2023, 09:34
23.11.14
14.11.2023, 12:15
MATH-202(c) mardi 2023-2024 semestre 1
14.11.2023, 12:51
23.10.26
14.11.2023, 02:05
MATH-202(c) jeudi2023-2024 semestre 1
14.11.2023, 02:05
23.11.02
14.11.2023, 01:57
MATH-202(c) jeudi2023-2024 semestre 1
14.11.2023, 01:57
23.10.10
13.11.2023, 17:33
23.10.17
13.11.2023, 16:23
23.10.19
13.11.2023, 16:19
23.10.12
13.11.2023, 16:16
23.11.09
09.11.2023, 13:10
MATH-202(c) jeudi2023-2024 semestre 1
09.11.2023, 13:27
23.11.07
07.11.2023, 12:41
MATH-202(c) mardi 2023-2024 semestre 1
07.11.2023, 12:52
Lightboard 2-4 Divergence explained
06.11.2023, 08:36
Lightboard 2-2 Divergence
06.11.2023, 08:36
Lightboard 1-4 Vector fields
06.11.2023, 08:36
Lightboard 1-3 Scalar fields and level sets
06.11.2023, 08:35
Lightboard 1-2 Scalar fields
06.11.2023, 08:35
Lightboard 1-1 Vector analysis
06.11.2023, 08:34
23.10.03
11.10.2023, 18:08
23.09.26
10.10.2023, 16:12
23.09.28
10.10.2023, 15:50
23.10.05
10.10.2023, 15:44
MATH-202(c) Analysis III | Tuesday | Fall 24
31.08.2024, 22:05
ANALYSIS III - MATH-202 (c) - EL, GM, MX
Lecture title: Analysis III - MATH-202(c)
Instructor: Pablo Antolin
Main assistant: Anna Paulish
Theory lectures: In CO 1: Tuesday 10:15-12:00- Link for Tuesdays broadcasting https://mediaspace.epfl.ch/media/0_xk0hoauk
- Link for Thursdays broadcasting https://mediaspace.epfl.ch/media/0_4ba6u3ze
The lectures' recordings will be available in https://mediaspace.epfl.ch/channel/channelid/55770 (possibly with a few days delay).
Exercise sessions: Tuesday 08:15-10:00 (in CM 0 11, CM 0 12, CM 1 105, CM 1 120, and CM 1 121).
Office hour instructor: Tuesday 13:45-14:15
| Room | Students (family name start - end) | Assistants |
|---|---|---|
| CM 0 11 | Abd -- Cap | Morera, Wazen |
| CM 0 12 | Car -- Der | Benand, Klemme |
| CM 1 105 | Des -- Leb | Maserati, Paisin, Cauvin, Vignon, Boehringer |
| CM 1 120 | Lec -- Rau | Fluder, Violet, Cren, Bonhôte |
| CM 1 121 | Ray -- Zum | Tavier, Conde, Govers, Divoux |
Course content:
- Vector Analysis: Gradient, curl, divergence, and Laplacian operators. Integrals on curves and surfaces. Vector fields and potentials. Green's, divergence, and Stokes' theorems.
- Fourier Analysis: Fourier series. Parceval identity. Fourier transforms. Plancherel identity. Use and applications.
Bibliography:
The main reference for this course is the book (in french) Analyse avancée pour ingénieurs by B. Dacorogna and C. Tanteri, 4th edition (2018).
You can find it either at EPFL library or freely available online using this link.
After each course, the associated handwritten notes will be published on this moodle page.
Some additional references (optional):
- E. Kreyszig, Advanced engineering mathematics, Wiley.
- S. Chatterji, Cours d’analyse (volumes 1 & 2), PPUR.
Exercise series:
Final exam and final grade:
General remarks:
We look forward to your active participation and engagement during the lecture. If you have any questions or require further assistance, please don't hesitate to reach out to your lecturer or one of the assistants.Exam information
Instructions for the exam:
- Before the exam, make sure you know which is your assigned room and seat by looking at the map and at the student list. To be published during the first week of January.
- You can bring a cheat sheet to the exam: A single A4 written on both sides. Fourier transforms table will be provided in the exam booklet.
- Do not unstaple the booklet.
- Scratch paper will be provided during the exam (it will be collected at the end of the exam).
- Using a calculator or any electronic device is not permitted during the exam.
- The scoring system of each question will be indicated in the exam booklet.
- Use a black or dark blue ball-pen and clearly erase with correction fluid if necessary.
Mock exam
This mock exam is a representative sample of what the course exam will look like in January. However, the length of each section may vary.
Old exams
Here we provide a collection of previous years' exams.
This collection is only for the purpose of preparing for the exam. However, there is no guarantee that this year's exam will follow the same structure as these exams.
In addition, some solutions may be missing and there may be errors. WE WILL NOT PROVIDE MISSING SOLUTIONS.
In addition to the Fourier transforms table, some exams provided an extra formulaire. However, this year only the Fourier transforms table will be provided. You can bring your own cheat sheet (a double-sided A4 sheet).
Polycopy
The purpose of this polycopy is to help students in engineering sections with their second year Analysis III course. However, it is not an alternative to the course itself, nor is it guaranteed to cover all the material in the course. You should always refer to the material covered in the lectures.
This polycopy has not been proofread, so we urge students who use it to apply appropriate scientific skepticism when reading it. We will be grateful if you report any typos or errors you find, as well as any other constructive comments. Note that as errors are discovered and fixed, new versions of the document will be released.
This document is currently only available in French. An English version may be published in future editions of this course.
Week 1: 9 Sept - 15 Sept
- Course presentation (File)
- Series 01 (File)
- Correction Series 01 (File)
- Tuesday's lecture notes (File)
- Thursday's lecture notes (File)
Week 2: 16 Sept - 22 Sept
- Series 02 (File)
- Tuesday's lecture notes - Chapter 1 (File)
- Tuesday's lecture notes - Chapter 2 (File)
- Thursday's lecture notes (File)
Week 3: 23 Sept - 29 Sept
- Series 03 (File)
- Tuesday's lecture notes (updated with proof correction) (File)
- Thursday's lecture notes (File)
Week 4: 30 Sept - 6 Oct
- Series 04 (File)
- Correction Ex 4 Series 04 (File)
- Tuesday's lecture notes. Note error in parameterization of curve gamma 1 in last example (correction in green) (File)
- Thursday's lecture notes. See note at the end (File)
Week 5: 7 Oct - 13 Oct
- Series 05 (File)
- Tuesday's lecture notes. Note the error in the sphere normal vector in page 12 (correction in yellow) UPDATED! (File)
- Thursday's lecture notes. Note comment in last page. (File)
Week 6: 14 Oct - 20 Oct
- Series 06 (File)
- Correction Series 06 (File)
- Tuesday's lecture notes (File)
- Thursday's lecture notes (File)
- Example of Divergence theorem application in scientific paper (File)
Week 7: 29 Oct - 3 Nov
- Series 07 (File)
- Correction Series 07 (File)
- Tuesday's lecture notes (File)
- Thursday's lecture notes (File)
Week 8: 4 Nov - 10 Nov
Week 9: 11 Nov - 17 Nov
- Series 09 (File)
- Tuesday's lecture notes (File)
- Python example of Fourier series (jupyter notebook) (File)
- Thursday's lecture notes (File)
Week 10: 18 Nov - 24 Nov
- Series 10 (File)
- Tuesday's lecture notes (File)
- But what is a Fourier series? From heat flow to drawing with circles (URL)
- Thursday's lecture notes (File)
Week 11: 25 Nov - 1 Dec
- Series 11 (File)
- Correction Series 11 (File)
- Tuesday's lecture notes (added missing page) (File)
- Thursday's lecture notes (updated: two small mistakes fixed in pages 4 and 6) (File)
Week 12: 2 Dec - 8 Dec
- Series 12 (File)
- Correction Series 12 (File)
- Tuesday's lecture notes (File)
- Jupyter notebook for the Fourier transform demo (File)
Week 13: 9 Dec - 15 Dec
- Series 13 (File)
- Correction Series 13 (File)
- Tuesday's lecture notes (File)
- Thursday's lecture notes (File)