| 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 | Fall | |
| Course type | Fall | Course code | 022313 | ||
| Instructor(s) | |||||
| 金城 謙作 [KINJO Kensaku] | |||||
| Facility affiliation | Graduate School of Engineering | Office | Email address | ||
| Course description |
| In this course, we will study the definition and properties of the Fourier series and the Fourier transform. As an application, we will learn how to solve wave equations and heat equations |
| Expected Learning |
|
The goal of this course are 1. to be able to compute the Fourier series of functions, 2. to understand how to find the Fourier transform of functions, and 3. to be capable of performing Fourier series and Fourier transform on solving partial differential equations. |
| Course schedule |
|
1. Fourier series 2. Fourier sine series and cosine series 3. Complex form of Fourier series 4. Definition of Fourier transform 5. Integral formula 6. Properties of Fourier transform 7. Fourier transform of multi-valuable function 8. Convolution 9. Midterm examination 10. Heat equation 11. Initial value problem and boundary value problem 12. Wave equation 13. Application to Fourier transform 14. Wave equation on a finite interval 15. Term examination |
| Prerequisites |
| Knowledge of the courses of “Calculus Ⅰ/Ⅱ and Exercise” and “Differential equation I” will be used in this course. |
| Required Text(s) and Materials |
| References |
|
1. KABEYA Yoshitsugu, “Fourier kaiseki-to-henbibunhouteishiki-nyuumon”, Kyouritsu-Syuppan (ISBN 978-4-320-01948-5) 2. Erwin Kreyszig, “Fourier kaiseki-to-henbibunhouteishiki”, (transformed by ABE Kanji) Baifu-kan(ISBN 978-4-563-01117-8) |
| Assessment/Grading |
| The term examination, the common examination, and mini test |
| Message from instructor(s) |
| Try to solve questions that I give in the class and exercises in the textbook very much. You can ask me anything whenever you want. Enjoy mathematics and celebrate the joy of youth. |
| Course keywords |
| Fourier series, Fourier transform, wave equation, heat equation |
| Office hours |
| Before or After the class. Ask me if it is inconvenient for you. I may be able to change the date. |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Language Subject |
| Last update |
| 9/27/2017 5:06:55 PM |