| Course title | |||||
| 工学応用数学 [Applied Mathematics for Engineering] | |||||
| Course category | technology speciality courses | Requirement | Credit | 2 | |
| Department | Year | 1～4 | Semester | 3rd | |
| Course type | 3rd | Course code | 021202 | ||
| Instructor(s) | |||||
| 岩井 俊昭 [IWAI Toshiaki] | |||||
| Facility affiliation | Graduate School of Bio-Applications and Systems Engineering | Office | BASE 6F 611 | Email address | |
| Course description |
| Lectures on mathematical operations focusing on the Fourier transform and Laplace transform, and solving differential equations describing phenomena in physics and electricity. |
| Expected Learning |
|
The goal is; Qualitative understanding of Fourier series expansion, Fourier transform and Laplace transform To learn mathematical operations as tools and to solve differential equations for understanding wave propagation, heat diffusion, circuit theory, etc. See the Curriculum maps. |
| Course schedule |
|
1. Mathematical preparation 2. Fourier series and its properties 3. Fourier series and its properties 4. Fourier transform and its properties 5. Fourier transform and its properties 6. Special functions in Fourier analysis 7. Convolution and correlation 8. Convolution and correlation 9. Application to Linear system 10. Application to Linear system 11. Application to electric circuit 12. Application to electric circuit 13. Laplace transform 14. Laplace transform |
| Prerequisites |
| Students are expected to have the standard amount of time to prepare for and review the lecture as specified by the University. |
| Required Text(s) and Materials |
| T. Kurokawa and H. Kobatake, Fourier analysis, Kyoritsu publishing ltd. |
| References |
| Assessment/Grading |
|
Exam: Final exam Evaluation: Passed 60 or more final exams |
| Message from instructor(s) |
| Course keywords |
| Fourier series, Fourier transform, Laplace transform, Transient solution, Steady solution |
| Office hours |
| 13:00-17:00 BASE 6F Room611 |
| Remarks 1 |
| Download additional materials from the following URL. |
| Remarks 2 |
| Related URL |
| http://web.tuat.ac.jp/~iwailab/index.files/Sub_Lecture_J.html |
| Lecture Language |
| Japanese |
| Language Subject |
| Last update |
| 9/29/2021 6:23:58 PM |