Analysis III (for IC)
Summary
The course studies the fundamental concepts of vector analysis and Fourier analysis with a view to using them to solve multidisciplinary scientific engineering problems.
Content
Vector analysis:
Gradient, rotational, divergence and Laplacian operators. Curvilinear integrals and surface integrals. Vector fields and potentials. Green's, divergence and Stokes' theorems.
Fourier analysis:
Fourier series. Parceval identity. Fourier transforms. Plancherel's identity. Uses and applications.
Learning Prerequisites
Required courses
Analyse I, Analyse II, Algèbre linéaire.
Assessment methods
Written exam.
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