| Course title | |||||
| 微分方程式Ⅱ [Differential Equation Ⅱ] | |||||
| Course category | technology speciality courses,ets. | Requirement | Credit | 2 | |
| Department | Year | 2～4 | Semester | Spring | |
| Course type | Spring | Course code | 022713 | ||
| Instructor(s) | |||||
| 西舘 泉 [NISHIDATE Izumi] | |||||
| Facility affiliation | Graduate School of Bio-Applications and Systems Engineering | Office | BASE614 | Email address | |
| Course description |
| This course reviews ordinary differential equations in the first half of semester. It provides students with the mathematical foundations of partial differential equations in the second half of semester. Also, it will address the basic solution techniques associated with the heat equation, wave equation, and Laplace’s equation. |
| Expected Learning |
| Learners who successfully complete this course will be able to understand the mathematical foundations of partial differential equations as well as the basic solution techniques associated with the heat equation, wave equation, and Laplace’s equation. |
| Course schedule |
|
1. Ordinary differential equations 1.1 Separation of variables 1.2 Linear equations 1.3 Bernoulli’s equation 1.4 Exact differential equation 1.5 Homogeneous equations 1.6 Nonhomogeneous equations 2. Fourier analysis 2.1 Fourier series 2.2 Fourier transform 3. Partial differential equations 3.1 First-order partial differential equations 3.2 Second-order partial differential equations 3.3 Heat equation 3.4 Wave equation 3.5 Laplace’s equation |
| Prerequisites |
| Students entering this class are assumed to have had differential equations. |
| Required Text(s) and Materials |
| References |
| Assessment/Grading |
| Assessment depends on attendance of class, the total score of short tests and final exam. |
| Message from instructor(s) |
| Course keywords |
| Office hours |
| Anytime |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Japanese |
| Language Subject |
| Last update |
| 3/12/2018 9:10:12 PM |