| 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 | Spring | |
| Course type | Spring | Course code | 022203 | ||
| 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 1. to solve some types of differential equations, 2. to use differential operators, and 3. to calculate the Laplace transform of various functions. |
| Course schedule |
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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 |
|
TERADA Fumiyuki, “Bibun-houteisiki-no-kiso ”, Science-sya (in Japanese) (ISBN 978-4-7819-0866-3) |
| References |
| Assessment/Grading |
|
Results of the term and the midterm examinations, and mini tests will be used for evaluation. (The ratio of the term and the midterm examinations, and mini tests is the larger of 4:3:3 and 3:2:0) |
| Message from instructor(s) |
| Try to solve questions that I give in the class and exercises in the textbook very much. You can ask me anything whenever you want. Enjoy mathematics and celebrate the joy of youth. |
| 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 |
| Language Subject |
| Last update |
| 4/6/2017 4:26:30 PM |