| 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 | 3rd | |
| Course type | 3rd | Course code | 022413 | ||
| Instructor(s) | |||||
| 原 伸生 [HARA Nobuo] | |||||
| Facility affiliation | Faculty of Engineering | Office | 12-214 | 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 Corresponding criteria in the Diploma Policy: See the Curriculum maps |
| 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. Summary: Exercises and/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. Summary: Exercises and/or Term examination |
| Prerequisites |
|
Calculus 1, 2 and Differential Equation 1. Remark: In addition to 30 hours that students spend in the class, students are recommended to prepare for and revise the lectures, spending appropriate amount of time and using the lecture handouts as well as the references specified below. |
| Required Text(s) and Materials |
|
Yano, K. and S. Ishihara, "Kiso-Kaisekigaku-Ko^su, Ouyou-Kaiseki" Shoka-bo (in japanese) Remark: This lecture will be given in Japanese. Students who want to use a textbook written in English should consult the lecturer. |
| References |
| Assessment/Grading |
| Midterm exam 50%, Term exam 50% |
| Message from instructor(s) |
| Course keywords |
| Office hours |
| Arranged taking into account of students' requests |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Japanese |
| Language Subject |
| Last update |
| 3/19/2019 11:34:45 AM |