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- Academic unit or major
- International Development Engineering
- Instructor(s)
- Takagi Hiroshi
- Class Format
- Lecture
- Media-enhanced courses
- Day/Period(Room No.)
- Fri3-4(S513) Fri7-8(S513)
- Group
- -
- Course number
- ZUQ.T201
- Credits
- 2
- Academic year
- 2016
- Offered quarter
- 2Q
- Syllabus updated
- 2016/4/27
- Lecture notes updated
- -
- Language used
- Japanese
- Access Index
-
Course description and aims
This lecture deals with complex analysis, Fourier analysis, and Laplace transform
Student learning outcomes
After studying this subject, the students should conduct basic calculations related to complex analysis, Fourier analysis, and Laplace transform.
Keywords
complex analysis, Fourier analysis, and Laplace transform.
Competencies that will be developed
| ✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | Practical and/or problem-solving skills |
Class flow
Lecture and excerise
Course schedule/Required learning
| 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 |
Textbook(s)
Not required
Reference books, course materials, etc.
Course materials will be provided at each class.
Assessment criteria and methods
Final exercise (70%) and Progress exercises (30%)
Related courses
- TSE.M203 ： Theory of Linear System
Prerequisites (i.e., required knowledge, skills, courses, etc.)
Not required
Other
This lecture is only provided in 2016.
