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. Line integrals and surface integrals. Vector fields and potential fields. Green's, divergence, and Stokes's theorems.
Fourier and Laplace Analysis
Fourier series. Parseval's identity. Fourier transforms. Plancherel's identity. Laplace transforms. 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 |
| Assistant.e.s | Yes |
| Forum | Yes |
Resources
Virtual desktop infrastructure (VDI)
Yes
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
In the programs
- Semester: Fall
- Exam form: Written (winter session)
- Subject examined: Analysis III
- Courses: 3 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Type: mandatory
- Semester: Fall
- Exam form: Written (winter session)
- Subject examined: Analysis III
- Courses: 3 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Type: mandatory
- Semester: Fall
- Exam form: Written (winter session)
- Subject examined: Analysis III
- Courses: 3 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Type: mandatory
- Semester: Fall
- Exam form: Written (winter session)
- Subject examined: Analysis III
- Courses: 3 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Type: mandatory
- Semester: Fall
- Exam form: Written (winter session)
- Subject examined: Analysis III
- Courses: 3 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Type: mandatory