This lecture deals with complex analysis, Fourier analysis, and Laplace transform
After studying this subject, the students should conduct basic calculations related to complex analysis, Fourier analysis, and Laplace transform.
complex analysis, Fourier analysis, and Laplace transform.
✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | Practical and/or problem-solving skills |
Lecture and excerise
Course schedule | Required learning | |
---|---|---|
Class 1 | complex analysis | complex number, complex analysis |
Class 2 | regular function | regular function, Cauchy-Riemann Equations |
Class 3 | conformal mapping | conformal mapping, harmonic functions |
Class 4 | complex integral | complex integral, Canchy's integral theorem |
Class 5 | application to real number's integral | Cauchy's integral formula, residue |
Class 6 | Test level of understanding with exercise problems - Solve exercise problems covering the contents of classes 1–5. | Progress exercise |
Class 7 | Fourier series | Fourier series |
Class 8 | Fourier transform | Fourier transform |
Class 9 | application to Partial Differential Equations | Partial Differential Equations, Dirac's delta function |
Class 10 | discrete Fourier transform | Fast Fourier Transform |
Class 11 | Test level of understanding with exercise problems - Solve exercise problems covering the contents of classes 7–10. | Progress exercise |
Class 12 | Laplace transform | Laplace transform |
Class 13 | Inverse Laplace transform | Inverse Laplace transform |
Class 14 | Test level of understanding with exercise problems - Solve exercise problems covering the contents of classes 12–13. | Progress exercise |
Class 15 | Test level of understanding with exercise problems encompassing all the classes | Final exercise |
Not required
Course materials will be provided at each class.
Final exercise (70%) and Progress exercises (30%)
Not required
This lecture is only provided in 2016.