Analysis III

MATH-202(c)

Media

MATH-202(c) Analysis III | Thursday | Fall 24

31.08.2024, 22:10

Year 2025-2026

10.09.2025, 16:47

MATH-202(c) Analysis III | Week 1 | Tuesday | Fall 25

09.09.2025, 10:10

MATH-202(c) Analysis III | Week 1 | Thursday | Fall 25

11.09.2025, 13:07

Analysis III | Week 2 | Tuesday - part 1 | Fall 25

13.09.2025, 21:21

Analysis III | Week 2 | Tuesday - part 2 | Fall 25

13.09.2025, 21:23

Analysis III | Week 2 | Tuesday - part 3 | Fall 25

13.09.2025, 22:41

MATH-202(c) Analysis III | Week 2 | Thursday | Fall 25

18.09.2025, 13:07

MATH-202(c) Analysis III | Week 3 | Tuesday | Fall 25

23.09.2025, 10:10

MATH-202(c) Analysis III | Thursday | Fall 25

02.09.2025, 18:33

Analysis III | Week 4 | part 1 | Fall 25

25.09.2025, 11:13

Analysis III | Week 4 | part 2 | Fall 25

25.09.2025, 11:14

Analysis III | Week 4 | part 4 | Fall 25

26.09.2025, 14:44

Analysis III | Week 4 | part 3 | Fall 25

28.09.2025, 08:31

Analysis III | Week 5 | part 1 | Fall 25

03.10.2025, 08:30

Analysis III | Week 5 | part 2 | Fall 25

03.10.2025, 08:31

Analysis III | Week 5 | part 3 | Fall 25

03.10.2025, 08:31

Analysis III | Week 5 | part 4 | Fall 25

03.10.2025, 08:31

MATH-202(c) Analysis III | Week 6 | Tuesday | Fall 25

14.10.2025, 10:11

MATH-202(c) Analysis III | Week 6 | Thursday | Fall 25

16.10.2025, 13:07

Analysis III | Week 7 | part 1 | Fall 25

22.10.2025, 15:02

Analysis III | Week 7 | part 2 | Fall 25

22.10.2025, 15:03

Analysis III | Week 7 | part 3 | Fall 25

22.10.2025, 15:04

MATH-202(c) Analysis III | Week 8 | Thursday | Fall 25

05.11.2025, 11:38

MATH-202(c) Analysis III | Week 9 | Tuesday | Fall 25

11.11.2025, 10:11

MATH-202(c) Analysis III | Week 9 | Thursday | Fall 25

13.11.2025, 13:08

MATH-202(c) Analysis III | Week 10 | Tuesday | Fall 25

18.11.2025, 10:10

MATH-202(c) Analysis III | Week 10 | Thursday | Fall 25

20.11.2025, 13:07

MATH-202(c) Analysis III | Week 11 | Tuesday | Fall 25

25.11.2025, 10:12

MATH-202(c) Analysis III | Week 11 | Thursday | Fall 25

27.11.2025, 13:07

MATH-203(d) Analysis III (for IC) | Week 12 | Wednesday | Part 1 | Fall 25

04.12.2025, 15:02

First minutes audio is muted.

MATH-203(d) Analysis III (for IC) | Week 12 | Wednesday | Part 2 | Fall 25

04.12.2025, 15:03

MATH-202(c) Analysis III | Week 12 | Thursday | Fall 25

04.12.2025, 15:03

MATH-202(c) Analysis III | Week 13 | Tuesday | Fall 25

09.12.2025, 10:10

MATH-202(c) Analysis III | Week 13 | Thursday | Fall 25

11.12.2025, 13:07

MATH-202(c) Analysis III | Week 14 | Tuesday | Fall 25

16.12.2025, 10:10

Year 2025-2026

10.09.2025, 16:47

MATH-202(c) Analysis III

MATH-202(c) Analysis III | Week 14 | Tuesday | Fall 25

16.12.2025, 10:10

MATH-202(c) Analysis III | Tuesday | Fall 25

16.12.2025, 10:44

MATH-202(c) Analysis III | Week 13 | Thursday | Fall 25

11.12.2025, 13:07

MATH-202(c) Analysis III | Thursday | Fall 25

11.12.2025, 13:26

MATH-202(c) Analysis III | Week 13 | Tuesday | Fall 25

09.12.2025, 10:10

MATH-202(c) Analysis III | Tuesday | Fall 25

09.12.2025, 10:44

MATH-202(c) Analysis III | Week 12 | Thursday | Fall 25

04.12.2025, 15:03

MATH-203(d) Analysis III (for IC) | Week 12 | Wednesday | Part 2 | Fall 25

04.12.2025, 15:03

MATH-203(d) Analysis III (for IC) | Week 12 | Wednesday | Part 1 | Fall 25

04.12.2025, 15:02

First minutes audio is muted.

MATH-202(c) Analysis III | Week 11 | Thursday | Fall 25

27.11.2025, 13:07

MATH-202(c) Analysis III | Thursday | Fall 25

27.11.2025, 13:28

MATH-202(c) Analysis III | Week 11 | Tuesday | Fall 25

25.11.2025, 10:12

MATH-202(c) Analysis III | Tuesday | Fall 25

25.11.2025, 10:46

MATH-202(c) Analysis III | Week 10 | Thursday | Fall 25

20.11.2025, 13:07

MATH-202(c) Analysis III | Thursday | Fall 25

20.11.2025, 13:28

MATH-202(c) Analysis III | Week 10 | Tuesday | Fall 25

18.11.2025, 10:10

MATH-202(c) Analysis III | Tuesday | Fall 25

18.11.2025, 10:46

MATH-202(c) Analysis III | Week 9 | Thursday | Fall 25

13.11.2025, 13:08

MATH-202(c) Analysis III | Thursday | Fall 25

13.11.2025, 13:29

MATH-202(c) Analysis III | Week 9 | Tuesday | Fall 25

11.11.2025, 10:11

MATH-202(c) Analysis III | Tuesday | Fall 25

11.11.2025, 10:47

MATH-202(c) Analysis III | Thursday | Fall 25

06.11.2025, 13:30

MATH-202(c) Analysis III | Week 8 | Thursday | Fall 25

05.11.2025, 11:38

MATH-202(c) Analysis III | Tuesday | Fall 25

05.11.2025, 12:26

Analysis III | Week 7 | part 3 | Fall 25

22.10.2025, 15:04

Analysis III | Week 7 | part 2 | Fall 25

22.10.2025, 15:03

Analysis III | Week 7 | part 1 | Fall 25

22.10.2025, 15:02

MATH-202(c) Analysis III | Week 6 | Thursday | Fall 25

16.10.2025, 13:07

MATH-202(c) Analysis III | Thursday | Fall 25

16.10.2025, 13:26

MATH-202(c) Analysis III | Week 6 | Tuesday | Fall 25

14.10.2025, 10:11

MATH-202(c) Analysis III | Tuesday | Fall 25

14.10.2025, 10:45

Analysis III | Week 5 | part 4 | Fall 25

03.10.2025, 08:31

Analysis III | Week 5 | part 3 | Fall 25

03.10.2025, 08:31

Analysis III | Week 5 | part 2 | Fall 25

03.10.2025, 08:31

Analysis III | Week 5 | part 1 | Fall 25

03.10.2025, 08:30

Analysis III | Week 4 | part 3 | Fall 25

28.09.2025, 08:31

Analysis III | Week 4 | part 4 | Fall 25

26.09.2025, 14:44

MATH-202(c) Analysis III | Thursday | Fall 25

18.12.2025, 13:08

MATH-202(c) Analysis III | Thursday | Fall 25

25.09.2025, 13:33

MATH-202(c) Analysis III | Thursday | Fall 25

02.09.2025, 18:33

Analysis III | Week 4 | part 2 | Fall 25

25.09.2025, 11:14

Analysis III | Week 4 | part 1 | Fall 25

25.09.2025, 11:13

MATH-202(c) Analysis III | Week 3 | Tuesday | Fall 25

23.09.2025, 10:10

MATH-202(c) Analysis III | Tuesday | Fall 25

23.09.2025, 10:43

MATH-202(c) Analysis III | Week 2 | Thursday | Fall 25

18.09.2025, 13:07

MATH-202(c) Analysis III | Thursday | Fall 25

18.09.2025, 13:25

Analysis III | Week 2 | Tuesday - part 3 | Fall 25

13.09.2025, 22:41

Analysis III | Week 2 | Tuesday - part 2 | Fall 25

13.09.2025, 21:23

Analysis III | Week 2 | Tuesday - part 1 | Fall 25

13.09.2025, 21:21

MATH-202(c) Analysis III | Week 1 | Thursday | Fall 25

11.09.2025, 13:07

MATH-202(c) Analysis III | Thursday | Fall 25

11.09.2025, 13:30

MATH-202(c) Analysis III | Week 1 | Tuesday | Fall 25

09.09.2025, 10:10

MATH-202(c) Analysis III | Tuesday | Fall 25

09.09.2025, 10:27

MATH-202(c) Analysis III | Tuesday | Fall 25

02.09.2025, 18:29

MATH-202(c) Analysis III | Week 14: Tuesday 17 December 2024

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 | Week 13: Tuesday 10 December 2024

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 | Week 11: Thursday 28 November 2024

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 | Week 10: Thursday 21 November 2024

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 | Week 09: Thursday 14 November 2024

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 | Week 08: Thursday 7 November 2024

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 | Week 07: Thursday 31 October 2024

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 | Week 06: Thursday 17 October 2024

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 | Week 05: Thursday 10 October 2024

10.10.2024, 13:28

MATH-202(c) Analysis III | Week 05: Tuesday 08 October 2024

08.10.2024, 12:41

MATH-202(c) Analysis III | Week 04: Thursday 03 October 2024

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 | Week 03: Thursday 26 September 2024

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 | Week 02: Thursday 19 September 2024

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 | Week 01: Thursday 12 September 2024

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

23.11.07

07.11.2023, 12:41

Lightboard 1-2 Scalar fields

06.11.2023, 08:35

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

Year 2025-2026

10.09.2025, 16:47

MATH-202(c) Analysis III | Tuesday | Fall 25

02.09.2025, 18:29

MATH-202(c) Analysis III | Thursday | Fall 25

02.09.2025, 18:33


This file is part of the content downloaded from Analysis III.

ANALYSIS III - MATH-202 (c) - EL, GM, MX

Lecture title: Analysis III - MATH-202(c)

Instructor: Pablo Antolin

Main assistant: Ferhat Sindy

Theory lectures: In STCC - Cloud C: Tuesday 08:15-10:00, Thursday 12:15-13:00.
Theory lectures will be broadcasted online in:

The lectures' recordings will be available in this channel (possibly with a few days delay).

Exercise sessions: Tuesday 10:15-12:00 (in DIA003, DIA005, ELA1, ELD020, ELD120, ELG116, GCC330).

Office hour instructor: Tuesday 13:45-14:15 (upon request)


Online lectures
WeekTuesdayThursday
2ONLINE (Sep 16th)
4ONLINE (Sep 30th)ONLINE (Oct 2nd)
5ONLINE (Oct 7th)ONLINE (Oct 9th)

Q&A session in Polydôme

7ONLINE (Oct 28th)ONLINE (Oct 30th)


Exercise rooms distribution
Room Students (family name)
DIA003 Aa-Bl
DIA005 Bo-Cor
ELA1 Cos-Ho
ELD020 Hu-Mb
ELD120Mc-Par
ELG116 Pav-Reb
GCC330 Rec-Zz


Course content:
We welcome you to "Analysis III". This lecture covers important concepts and topics related to vector analysis, Fourier analysis, and their applications to ordinary and partial differential equations. These constitute a crucial part of your mathematical curriculum. In particular:
  • 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: Distributions, 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)

NEW: now the book pdf is freely available in 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:

Each Tuesday's exercise series will be published the Thursday before, and the solutions the Friday after.

Please attend the exercise sessions and work through the assignments. Discussing the material with the assistants and your peers is essential in gaining a comprehensive understanding of the subject matter.

Final exam and final grade:

The final grade will be based on the final exam. The final exam will be a written exam and will last 180 minutes 120 minutes.

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.

Access to STCC:
Calendar of accesses to STCC


AEs distribution

The number of assistants per room is

AEs per room
RoomCapacityNumber of AEs
DIA003482
DIA005502
ELA11224
ELD020783
ELD120281
ELG116241
GCC330903

Note: as soon as we can, we should merge ELD120 and ELG116 into a single 1 and put 2 AEs.

AEs distribution
Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 Week 8 Week 9 Week 10 Week 11 Week 12 Week 13 Week 14
Tomas Jouven Ed Forum DIA003 DIA003 DIA003 DIA003 DIA003 DIA003 DIA003 DIA003 DIA003 DIA003 DIA003 DIA003 DIA003
Thibault François Jean Andriot DIA003 Ed Forum DIA003 DIA003 DIA003 DIA003 DIA003 DIA003 DIA003 DIA003 DIA003 DIA003 DIA003 DIA003
Salim Santiago Mendoza Blanco DIA003 DIA003 Ed Forum DIA005 DIA005 DIA005 DIA005 DIA005 DIA005 DIA005 DIA005 DIA005 DIA005 DIA005
Ilian Sabeh FarhatDIA005 DIA005 DIA005 Ed Forum DIA005 DIA005 DIA005 DIA005 DIA005 DIA005 DIA005 DIA005 DIA005 DIA005
Hsan Ennouri DIA005 DIA005 DIA005 DIA005 Ed Forum ELA1 ELA1 ELA1 ELA1 ELA1 ELA1 ELA1 ELA1 ELA1
Sacha Frankhauser ELA1 ELA1 ELA1 ELA1 ELA1 Ed Forum ELA1 ELA1 ELA1 ELA1 ELA1 ELA1 ELA1 ELA1
Adrien Franck Jacques Serge Bouat ELA1 ELA1 ELA1 ELA1 ELA1 ELA1 Ed Forum ELA1 ELA1 ELA1 ELA1 ELA1 ELA1 ELA1
Samantha Irène Costa Pereira ELA1 ELA1 ELA1 ELA1 ELA1 ELA1 ELA1 Ed Forum ELA1 ELA1 ELA1 ELA1 ELA1 ELA1
Michel Sabbagha ELA1 ELA1 ELA1 ELA1 ELA1 ELA1 ELA1 ELA1 Ed Forum ELD020 ELD020 ELD020 ELD020 ELD020
Tayma Massaad ELD020 ELD020 ELD020 ELD020 ELD020 ELD020 ELD020 ELD020 ELD020 Ed Forum ELD020 ELD020 ELD020 ELD020
Alvaro Alexander Rojas Palencia ELD020 ELD020 ELD020 ELD020 ELD020 ELD020 ELD020 ELD020 ELD020 ELD020 Ed Forum ELD020 ELD020 ELD020
Thibault Malo Raphaël Alexandre Verny ELD020 ELD020 ELD020 ELD020 ELD020 ELD020 ELD020 ELD020 ELD020 ELD020 ELD020 Ed Forum ELD120 ELD120
Matheo Bögli ELD120 ELD120 ELD120 ELD120 ELD120 ELD120 ELD120 ELD120 ELD120 ELD120 ELD120 ELD120 Ed Forum ELG116
Inès Charlotte Valentine Degas ELG116 ELG116 ELG116 ELG116 ELG116 ELG116 ELG116 ELG116 ELG116 ELG116 ELG116 ELG116 ELG116 Ed Forum
Alexandre El-Ashi GCC330 GCC330 GCC330 GCC330 GCC330 GCC330 GCC330 GCC330 GCC330 GCC330 GCC330 GCC330 GCC330 GCC330
Adrien Marie François Rigobert Cadet GCC330 GCC330 GCC330 GCC330 GCC330 GCC330 GCC330 GCC330 GCC330 GCC330 GCC330 GCC330 GCC330 GCC330
Khalled-Abdelsalam Bensalah GCC330 GCC330 GCC330 GCC330 GCC330 GCC330 GCC330 GCC330 GCC330 GCC330 GCC330 GCC330 GCC330 GCC330



Exam information

Information and instructions for the exam:

  • The exam will last 120 minutes.
  • It will be a combination of (MCQ) multiple choice questions (around ~2/3 of the exam, but not fully decided yet) and open questions.
    • Incorrect answers to MCQ  will have negative points. No answer -> 0 points.
    • Only one correct answer.
    • Not all the MCQ value the same points.
    • No True/False questions.
    • No proofs of theorems in the exam.
  • 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.

  • Before the exam, make sure you know which is your assigned room and seat by looking at the map and at the student list.
  • Check the PDF below regarding what to do and what not to do when marking MCQs.
  • 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.

Note that most of these exams were prepared for a 3h duration. This year the exam will be 2h and we will reduce the exam length.

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).


ERRATUM

  • 2018 (Correction), Question 15.  $a_{0\ }=\frac{2}{\pi} \int_0^\pi \sin x \,dx \quad \text{and} \quad a_{n }=\frac{2}{\pi} \int_0^\pi \sin x \cos(nx) \,dx$
  • 2020 (Correction), Question 5. i.  2pi/n + 8/(pi n^3) if n is odd, and −2pi/n if n is even.
  • 2025 (Correction), Question 3. "Les deux paramétrisations données parcourent les courbes de gauche à droite. Or, pour laisser le domaine à gauche, la partie du dessus (soit Γ2) doit être parcourue de droite à gauche".
  • 2022 (Correction), Question 7. Instead of $\phi(3,2,-1)$, we should have $\phi(3,1,-2)$, and instead of 9 + 15 - 18 - 2 + $\alpha_3$ = ,0 we should have 9 +15 - 18 - 2 - 8 + $\alpha_3$ = 0.
  • 2023 (Correction), Question 15. The computed curl is wrong, at it should be (-1, -1, 0). This changes the sign of the integral. This error gets compensated with another error in the sense of circulation of the boundary for the line integral. To circulate the boundary in the positive sense, according to the chosen parameterization, the integral limits should be pi/2, -pi/2, and not the other way around.
  • 2018, Question 13. There is a typo in the boundary conditions on v. The boundary condition should be at 1, and not a pi.
  • 2025, Question 12. There is a typo in the definition of f(x): it should be e^{-4x}, and not e^{-4t}.



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.


IMPORTANT

The lecture on December 4th (Thursday) will be in CO1.


Week 1: 8 Sept - 14 Sept


Week 2: 15 Sept - 21 Sept

The recordings of Tuesday's lecture can be found in the following mediaspace links (3 parts)


Week 3: 22 Sept - 28 Sept


Week 4: 29 Sept - 5 Oct


Week 5: 6 Oct - 12 Oct


Week 6: 13 Oct - 19 Oct


Week 7: 27 Oct - 2 Nov


Week 8: 3 Nov - 9 Nov


Week 9: 10 Nov - 16 Nov


Week 10: 17 Nov - 23 Nov


Week 11: 25 Nov - 30 Nov


Week 12: 1 Dec - 7 Dec


Week 13: 8 Dec - 14 Dec


Week 14: 15 Dec - 21 Dec