| 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 | 022601 | ||
| Instructor(s) | |||||
| 金城 謙作 [KINJO Kensaku] | |||||
| Facility affiliation | Graduate School of Engineering | Office | Email address | ||
| Course description |
| Differential equations provide indispensable tools to analyze various phenomena in engineering and natural science. In this lecture, we explain typical differential equations and learn methods to solve them. |
| Expected Learning |
|
The goal of this course are to solve some types of differential equations, to use differential operators, and to calculate the Laplace transform of various functions. Corresponding criteria in the Diploma Policy: See the Curriculum maps. |
| Course schedule |
|
1. Introduction and Examples 2. Separable Equations 3. Homogeneous Differential Equations 4. First Order Linear Differential Equations 5. Exact Differential Equations 6. Integrating Factors 7. Midterm Examination 8. Introduction of Second Order Linear Differential Equations 9. Second Order Differential Equations with constant coefficients 10. Differential Operators 11. Laplace Transform 12. Inverse Laplace Transform 13. Application to Initial Value Problem 1 14. Application to Initial Value Problem 2 15. Term Examination |
| Prerequisites |
| Knowledge of the courses of “Calculus Ⅰ/Ⅱ and Exercise” will be used in this course. |
| Required Text(s) and Materials |
| References |
|
TERADA Fumiyuki, “Bibun-houteisiki-no-kiso ”, Science-sya (in Japanese) (ISBN 978-4-7819-0866-3) |
| Assessment/Grading |
|
Results of the term and the midterm examinations will be used for evaluation. (The ratio of the term and the midterm examinations is the larger of 5:5 and 3:2) |
| Message from instructor(s) |
| Ordinary Differential Equations, Linear Differential Equations, Differential Operators, Laplace Transform |
| Course keywords |
| Ordinary Differential Equations, Linear Differential Equations, Differential Operators, Laplace Transform |
| Office hours |
| Before or After the class. Ask me if it is inconvenient for you. I may be able to change the date. |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Japanese |
| Language Subject |
| Last update |
| 4/2/2019 7:51:50 PM |