| Course title | |||||
| 微分方程式Ⅱ [Differential Equation Ⅱ] | |||||
| Course category | technology speciality courses | Requirement | Credit | 2 | |
| Department | Year | 2～4 | Semester | 3rd | |
| Course type | 3rd | Course code | 022352 | ||
| Instructor(s) | |||||
| 木原 裕充 [] | |||||
| Facility affiliation | Graduate School of Engineering | Office | Email address | ||
| Course description |
|
Aim: We study the idea of Fourier series expansion. Then we use Fourier series expansion to solve some differential equations, especially the heat equation and wave equation. Outline: We know the idea of Fourier series expansion. We can solve the heat equation and wave equation using Fourier series expansion. We examine the calculus of Fourier series. This course is taught by a part-time lecturer. Once the employment of the part-time lecturer is confirmed, this syllabus may be modified. In this case, the official version is the modified syllabus. class code: bg2ehcj |
| Expected Learning |
|
・We know the idea of Fourier series expansion. ・We can calculate Fourier series expansion. ・We can solve some types of partial differential equations. Corresponding criteria in the Diploma Policy: See the Curriculum maps. |
| Course schedule |
|
1. A review of calculus 2. calculus of trigonometric functions 3. Fourier series expansions of continuous functions 4. Fourier series expansions of discontinuous functions 5. Periodic functions and functional spaces 6. Fourier series expansions of periodic functions with period L 7. Ordinary differential equations 8. Ordinary differential equations and Fourier series 9. Partial differential equations 10. Fourier series solutions for wave equations 11. Fourier series solutions for diffusion equations 12. Laplace equation 13. Spherical harmonics 14. Exercises 15. Exam. |
| Prerequisites |
| Knowledge of the course of Calculus I, II and Exercise will be used in the lecture. In addition to 60 hours that students spend in the class, students are recommended to prepare for and revise the lectures, spending the standard amount of time as specified by the University and using the lecture handouts as well as the references specified below. |
| Required Text(s) and Materials |
|
It is desirable that you have taken "Calculus I and II and Exercises" and "Linear Algebras I and II". So, please review the text books of Calculues and Linear Algebra. |
| References |
| Assessment/Grading |
| It will be announced in the Google Classroom of this course. |
| Message from instructor(s) |
| Course keywords |
| Fourier series, Fourier series expansion, partial differential equation, heat equation, wave equation |
| Office hours |
| You can contact by e-mail. |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Japanese |
| Language Subject |
| Last update |
| 10/5/2022 9:25:27 PM |