| 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 | 022313 | ||
| Instructor(s) | |||||
| 合田 洋 [GODA Hiroshi] | |||||
| Facility affiliation | Faculty of Engineering | Office | 12-211 | 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. |
| 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. Partial differential equations of order one 3. Partial differential equations of second order 4. A review of trigonometric functions 5. Periodic functions and functional spaces 6. Fourier series expansionI 7. Fourier series expansionII 8. Fourier series expansionIII 9. Exercises, Midterm Exam. 10. Complex Fourier series 11. An application of Fourier series to Partial differential equations I 12. An application of Fourier series to Partial differential equations II 13. An application of Fourier series to Partial differential equations III 14. Exercises 15. Exercises, 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 |
|
Midterm Exam.(50%), Final Exam.(50%) Only attendance does not effect to the assessment. |
| Message from instructor(s) |
| Course keywords |
| Fourier series, Fourier series expansion, partial differential equation, heat equation, wave equation |
| Office hours |
| Thursday 17:00--18:00 |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| http://web.tuat.ac.jp/~goda/lecture/lecture3.html |
| Lecture Language |
| Language Subject |
| Last update |
| 3/18/2019 9:53:22 AM |