Analysis III
Summary
The course covers the fundamental concepts of vector calculus and Fourier analysis, with a view to applying them to solve multidisciplinary problems in scientific engineering.
Content
Vector Calculus
- The gradient, curl, divergence, and Laplace operators.
- Line integrals and surface integrals.
- Vector fields and potentials.
- Green's theorem, the divergence theorem, and Stokes' theorem.
Fourier Analysis
- Fourier series.
- Parseval's identity.
- Fourier transforms.
- Plancherel's identity.
- Application to differential equations.
Learning Prerequisites
Required courses
Analysis I, Analysis II, Linear Algebra.
Assessment methods
Written exam.
Supervision
| Office hours | No |
| Assistant.e.s | Yes |
| Forum | Yes |
Resources
Virtual desktop infrastructure (VDI)
No
Bibliography
B. Dacorogna et C. Tanteri, Analyse avancée pour ingénieurs, PPUR 2018.
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
- Cours: 2 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
- Cours: 2 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
- Cours: 2 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
- Cours: 2 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
- Cours: 2 Heure(s) hebdo x 14 semaines
- Exercices: 2 Heure(s) hebdo x 14 semaines
- Type: optionnel