Analysis III
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. Fourier transforms. Identity of Plancherel. Laplace transforms. Applications to ordinary differential equations. Applications to partial differential equations.
Learning Prerequisites
Required courses
Analyse I, Analyse II, Algèbre linéaire.
Analysis I, Analysis II, Linear algebra.
Assessment methods
Written exam
Dans les plans d'études
- Semestre: Automne
- Forme de l'examen: Ecrit (session d'hiver)
- Matière examinée: Analysis III
- 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
- 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
- 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
- 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
- Cours: 3 Heure(s) hebdo x 14 semaines
- Exercices: 2 Heure(s) hebdo x 14 semaines
- Type: obligatoire