| Course title | |||||
| 工学基礎数学 [Fundamental Mathematics for Engineering] | |||||
| Course category | technology speciality courses | Requirement | Credit | 2 | |
| Department | Year | 1～4 | Semester | 1st | |
| Course type | 1st | Course code | 021201 | ||
| Instructor(s) | |||||
| 岩井 俊昭 [IWAI Toshiaki] | |||||
| Facility affiliation | Graduate School of Bio-Applications and Systems Engineering | Office | BASE 6F 611 | Email address | |
| Course description |
| Lectures on vector analysis for understanding mathematical expressions of electromagnetics widely related to electronics technology based on many examples. |
| Expected Learning |
|
The goal is to understand physical phenomena expressed in vectors and to freely solve mathematical problems as analysis tools. See the Curriculum maps. |
| Course schedule |
|
1. Basis of Vector I - inner product, dirction cosine, outer product, area vector - 2. Basis of Vector II - scalar and vector triple products - 3. Differential of vector function - differential of scalar and vector funcitons - 4. Gradient of vector -Meaning of gradient, operation of gradient, scalra potential, directional devivative - 5. Divergence of vector - operation of divergence, streamline and flux meaning of divergence - 6. Rotation of vector - operation of rotation, meaning of rotation, mixed operation of gradiant, divergence and rotation - 7. Integral of vector function Integrals of scalar and vector funcitons - 8. Path integral I - Space curve, tangent vector, principle normal vector, binormal vector, arc length 9. Path integral II - Path integral in scalar and vector fields - 10．Surface integral I - Equation of curved surface, tangent surface, unit normal vector, surface element(vector) - 11. Surface integral II - Surface integral in scalar and vector fields - 12. Volume integral - Volume integral in scalar and vector fields - 13. Gauss divergence theorem 14. Stokes' theorem |
| Prerequisites |
| Students are expected to have the standard amount of time to prepare for and review the lecture as specified by the University. |
| Required Text(s) and Materials |
| 丸山・石井著「要点がわかる ベクトル解析」(コロナ社) |
| References |
| 関根・佐野著「電磁気を学ぶためのベクトル解析」（コロナ社） |
| Assessment/Grading |
|
Exam: Final exam Evaluation: Passed 60 or more final exams |
| Message from instructor(s) |
| Course keywords |
| Office hours |
| 13:00-17:00 BASE 6F Room611 |
| Remarks 1 |
| Download additinal materials from the following URL. |
| Remarks 2 |
| Related URL |
| http://web.tuat.ac.jp/~iwailab/index.files/Sub_Lecture_J.html |
| Lecture Language |
| Japanese |
| Language Subject |
| English |
| Last update |
| 3/10/2020 3:36:56 PM |