| Course title | |||||
| 微分方程式Ⅰ [Differential Equation Ⅰ] | |||||
| Course category | technology speciality courses | Requirement | Credit | 2 | |
| Department | Year | 2～4 | Semester | 1st | |
| Course type | 1st | Course code | 022451 | ||
| Instructor(s) | |||||
| 西村 滋人 [NISHIMURA Shigeto] | |||||
| Facility affiliation | Graduate School of Engineering | Office | afjgxte/L1151 | Email address | |
| Course description |
| Differential equations play important roles in the mathematical description and analysis of various phenomena in engineering. In this course, we will learn basic notions and methods of solving ordinary differential equations such as linear differential equations. |
| Expected Learning |
|
The goal of this course is to be able to solve concrete problems on typical differential equations such as those of first order and linear ones. Corresponding criteria in the Diploma Policy: See the Curriculum maps |
| Course schedule |
|
1. What are differential equations? 2. Separation of variables 3. Homogeneous differential equations 4. Linear differential equations of first order 5. Exact differential equations 6. Summary: Exercises and/or midterm examination 7. Basic properties of linear differential equations 8. Special solutions of non-homogeneous linear differential equations 9. Linear differential equations of higher order 10. Linear differential equations with constant coefficients 11. Power series solution 1 12. Power series solution 2 13. Laplace transformation 1 14. Laplace transformation 2 15. Summary: Exercises and/or term examination |
| Prerequisites |
|
Calculus I and II, Linear Algebra I and II. 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 |
| 及川正行他、工学基礎微分方程式[第２版]、サイエンス社 |
| References |
|
Yano, K., Ishihara, S.: Kiso-Kaisekigaku course Bibun-Houteisiki, Shoukabou (in Japanense) Remark: This lecture will be given in Japanese. Students who want to use a textbook written in English should consult the lecturer. |
| Assessment/Grading |
| It will be announced in Google Classroom. |
| Message from instructor(s) |
| Course keywords |
| Office hours |
| It will be announced in the first lecture. |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Japanese |
| Language Subject |
| Last update |
| 1/24/2021 6:28:58 PM |