| Course title | |||||
| 微分方程式 [Differential Equations] | |||||
| Course category | technology speciality courses | Requirement | Credit | 2 | |
| Department | Year | 1～4 | Semester | 1st | |
| Course type | 1st | Course code | 021601 | ||
| Instructor(s) | |||||
| 白樫 淳一 [SHIRAKASHI Junichi] | |||||
| Facility affiliation | Faculty of Engineering | Office | afjgxte/L1151 | Email address | |
| Course description |
|
One knows nature is expressed as differential equations that define a relation between a function and its derivatives. Scientists and engineers must know how to model the world in terms of differential equations, and how to solve those equations and interpret the solutions. This course focuses on linear differential equations and their applications in science and engineering. Google Classroom Code: |
| Expected Learning |
|
After completing this course the students should be able to: 1. Write the differential equations of engineering systems including required initial conditions. 2. Understand practically where initial conditions come from and how to evaluate them. 3. Become familiar with the linear or nonlinear, constant parameter or time-varying parameter, as applied to differential equations and systems. 4. Model multiple input-multiple output engineering systems by a system of differential equations. 5. Solve a first-order differential equation. 6. Solve an n-th order linear differential equations with constant coefficients. 7. Solve differential equations using a power series solution. 8. Solve engineering problems described by a differential equation or systems of differential equations. 9. Understand the fundamental difference between ordinary and partial differential equations from a physical point of view. Solve simple partial differential equation problems. |
| Course schedule |
|
We will follow the textbook and aim to cover in full or in part the following chapters: [1] First Order Differential Equations [2] Second Order Linear Equations [3] Higher Order Linear Equations [4] Series Solutions of Second Order Linear Equations [5] Systems of First Order Linear Equations [6] Nonlinear Differential Equations and Stability [7] Partial Differential Equations |
| Prerequisites |
| Calculus |
| Required Text(s) and Materials |
| 「物理数学コース 常微分方程式」 渋谷仙吉・内田伏一 共著 裳華房 (in Japanese) |
| References |
|
「常微分方程式とラプラス変換」 齋藤誠慈 裳華房 (in Japanese) 「基礎 解析学（改訂版）」 矢野健太郎・石原繁 共著 裳華房 (in Japanese) |
| Assessment/Grading |
|
Final Exam: 90% Homework: 10% Remarks/comments/statements are considered. The grade evaluation in this online class is premised on all attendances, and comprehensively evaluates the attitude to learn, quizzes, report, and online tests. Standard study time set by our university is required to get the grade. The grade will be given according to the following criteria by comprehensive evaluation; S: 90 points or more, A: 80 or more and less than 90 points, B: 70 or more and less than 80 points, C: 60 or more and less than 70 points. |
| Message from instructor(s) |
| Course keywords |
| Differential Equations, Linear Equations, Partial Differential Equations |
| Office hours |
| 16:30-18:00 (Fri) |
| Remarks 1 |
| A1 Class |
| Remarks 2 |
| Google Classroom Code: |
| Related URL |
| http://web.tuat.ac.jp/~nanotech/index.htm |
| Lecture Language |
| Japanese |
| Language Subject |
| Last update |
| 9/24/2021 4:04:10 PM |