| Course title | |||||
| 微分方程式Ⅱ [Differential Equation Ⅱ] | |||||
| Course category | technology speciality courses,ets. | Requirement | Credit | 2 | |
| Department | Year | 2～4 | Semester | Spring | |
| Course type | Spring | Course code | 022505 | ||
| Instructor(s) | |||||
| 前田 博信 [MAEDA Hironobu] | |||||
| Facility affiliation | Faculty of Engineering | Office | 12-212 | Email address | |
| Course description |
| In this course, we will learn Fourier series, Fourier transform and their basic properties. As an application we will consider methods of solving partial differential equations such as wave and heat differential equations. |
| Expected Learning |
|
1. To understand the basic notions of Fourier series and transform 2. To be able to calculate Fourier series of a given periodic function 3. To understand and apply the method of Fourier series and transform to solving basic partial differential equations |
| Course schedule |
|
1. Review of basic facts on elementary calculus 2. Fourier series 1 3. Fourier series 2 4. Basic properties of Fourier series 5. Complex Fourier seiries 6. Fourier series and partial differential equations 7. Solving partial differential equation 8. Exercises or Midterm examination 9. Fourier transdorm 10. Basic properties of Fourier transform 11. Fourier transform and partial differential equations 12. Laplace transform revisited, 1 13. Laplace transform revisited, 2 14. Exercises 15. Term examination |
| Prerequisites |
| Calculus 1, 2 and Differential Equation 1 |
| Required Text(s) and Materials |
| Yano, K. and S. Ishihara, "Kiso-Kaisekigaku-Ko^su, Ouyou-Kaiseki" Shoka-bo (in japanese) |
| References |
| original works of Fourier, Laplace, Weierstrass |
| Assessment/Grading |
| Midterm exam 50%, Term exam 50% |
| Message from instructor(s) |
| Course keywords |
| Office hours |
| will be informed in the first lecture |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Japanese |
| Language Subject |
| Last update |
| 3/11/2017 10:28:19 AM |