Analysis III (for IC)
Summary
The course studies the fundamental concepts of vector analysis and Fourier-Laplace analysis with a view to their use in solving multidisciplinary problems in scientific engineering.
Content
Vector analysis
- The gradient, curl, divergence and Laplacian operators.
- Curvilinear integrals and surface integrals.
- Vector and potential fields.
- Green's, divergence, and Stokes' theorems.
Fourier analysis and Laplace transforms
- Fourier series
- Identity of Parceval.
- Distributions.
- Fourier transforms.
- Identity of Plancherel.
- Applications to ordinary differential equations.
- Applications to partial differential equations.
Learning Prerequisites
Required courses
Analyse I, Analyse II, Algèbre linéaire.
Teaching methods
Ex cathedra lectures and exercises sessions.
Assessment methods
Written exam.
Supervision
| Office hours | No |
| Assistants | Yes |
| Forum | Yes |
Resources
Virtual desktop infrastructure (VDI)
No
Bibliography
B. Dacorogna et C. Tanteri, Analyse avancée pour ingénieurs, PPUR 2018.
Ressources en bibliothèque
Notes/Handbook
Course notes will be provided
Moodle Link
Prerequisite for
Analysis IV
Dans les plans d'études
- Semestre: Automne
- Forme de l'examen: Ecrit (session d'hiver)
- Matière examinée: Analysis III (for IC)
- Cours: 3 Heure(s) hebdo x 14 semaines
- Exercices: 2 Heure(s) hebdo x 14 semaines
- Type: obligatoire
- Semestre: Automne
- Forme de l'examen: Ecrit (session d'hiver)
- Matière examinée: Analysis III (for IC)
- Cours: 3 Heure(s) hebdo x 14 semaines
- Exercices: 2 Heure(s) hebdo x 14 semaines
- Type: obligatoire
- Semestre: Automne
- Forme de l'examen: Ecrit (session d'hiver)
- Matière examinée: Analysis III (for IC)
- Cours: 3 Heure(s) hebdo x 14 semaines
- Exercices: 2 Heure(s) hebdo x 14 semaines
- Type: obligatoire
Semaine de référence
| Lu | Ma | Me | Je | Ve | |
| 8-9 | STCC - Cloud C | ||||
| 9-10 | |||||
| 10-11 | |||||
| 11-12 | |||||
| 12-13 | |||||
| 13-14 | STCC - Cloud C | ||||
| 14-15 | GCC330 GCA1416 CE15 CE1103 CM1104 | ||||
| 15-16 | |||||
| 16-17 | |||||
| 17-18 | |||||
| 18-19 | |||||
| 19-20 | |||||
| 20-21 | |||||
| 21-22 |
Légendes:
Cours
Exercice, TP
Projet, Labo, autre
Mercredi, 8h - 10h: Cours STCC - Cloud C
Jeudi, 13h - 14h: Cours STCC - Cloud C
Jeudi, 14h - 16h: Exercice, TP GCC330
GCA1416
CE15
CE1103
CM1104