| 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 | 022351 | ||
| Instructor(s) | |||||
| 堀口 直之 [HORIGUCHI Naoyuki] | |||||
| Facility affiliation | Graduate School of Engineering | Office | afjgxte/L1151 | Email address | |
| Course description |
| In this course, we will learn solutions of ordinary differential equations, operational calculus and Laplace transform. |
| Expected Learning |
|
・To be able to solve basic ordinary differential equations. ・To be able to solve linear constant-coefficient differential equations by using operational calculus. ・To understand solutions of differential equations by using Laplace transform. Corresponding criteria in the Diploma Policy: See the Curriculum maps |
| Course schedule |
|
1. Definition of differential equations 2. Separation of variables and homogeneous equations 3. First order linear differential equations 4. Exact differential equations 5. Differential operator 6. Homogeneous linear constant-coefficient differential equations 7. Review , and midterm exam 8. Properties of operational calculus I 9. Properties of operational calculus II 10. Inhomogeneous linear constant-coefficient differential equations 11. Difference-differential equations 12. Various differential equations 13. Definition and properties of Laplace transform 14. Solutions of differential equations by using Laplace transform 15. Review, and final exam |
| Prerequisites |
| In addition to 30 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 |
| References |
| “Bibun houteishiki”, Makino shoten |
| Assessment/Grading |
| It will be announced in Google Classroom. |
| Message from instructor(s) |
| Course keywords |
| Ordinary differential equations, Differential operator, Operational calculus, Laplace transform |
| 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 6:27:54 PM |