| Course title | |||||
| 微分方程式Ⅰ [Differential Equation Ⅰ] | |||||
| Course category | technology speciality courses,ets. | Requirement | Credit | 2 | |
| Department | Year | 2～4 | Semester | 1st | |
| Course type | 1st | Course code | 022301 | ||
| Instructor(s) | |||||
| 原 伸生 [HARA Nobuo] | |||||
| Facility affiliation | Faculty of Engineering | Office | 12-214 | 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. Differential operators 12. Application of differential operators 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 |
|
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. |
| 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 11:33:08 AM |