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.
In the programs
- Semester: Fall
- Exam form: Written (winter session)
- Subject examined: Analysis III (for IC)
- Lecture: 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 (for IC)
- Lecture: 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 (for IC)
- Lecture: 3 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Type: mandatory