| Course title | |||||
| ベクトル解析 [Vector Analysis] | |||||
| Course category | technology speciality courses | Requirement | Credit | 2 | |
| Department | Year | 2～4 | Semester | 1st | |
| Course type | 1st | Course code | 022353 | ||
| Instructor(s) | |||||
| 合田 洋 [GODA Hiroshi] | |||||
| Facility affiliation | Faculty of Engineering | Office | Koganei12-211 | Email address | |
| Course description |
| This is an introductory lecture to vector analysis, which is an important tool to describe and analyze various phisical phenomena appearing in engineering. |
| Expected Learning |
|
1) capable to compute derivatives and integrals of vector-valued functions 2) to understand basic notions on curves, surfaces and vector fields, and capable to apply them to concrete computations 3) to understand line and surface integrals and capable to apply theorems on integrals |
| Course schedule |
|
1. Review of linear algebra 2. Vector-valued functions and thier differentials 3. Description of dinamical phenomena via vector-valued functions 4. Introduce the concept of scalar field and directional derivative 5. The gradient vector field and the Nabla operator are explained. 6. Introduction of divergence and rotation. These are concepts that represent the characteristics of vector fields. 7. First half content summary, mid-term exam 8,9. I will explain the line integral. This is an extension of what I took in the first year, so it also serves as a review. 10,11. The surface integral is explained. 12,13.We outline the proof and application of Gauss's divergence theorem. 14. Green's theorem, Stokes' theorem. 15. Summary, exam. |
| Prerequisites |
| Linear algenra and calculus |
| Required Text(s) and Materials |
| I will present it in the first class. |
| References |
| I will present it in the first class. |
| Assessment/Grading |
|
Show it considering the condition of COVID-19. Only attendance does not effect to the assessment. |
| Message from instructor(s) |
| Since the lecture will focus on understanding the definition, proof of the theorem, and explanation of its meaning, please try to deepen your understanding of the content of the lecture by calculating examples by yourself. |
| Course keywords |
| cross product, line element, unit normal vector, Gauss' divergence theorem, Stokes' theorem |
| Office hours |
| Thu. 17:00-18:00 |
| Remarks 1 |
| google classroom: 2dsgewl |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Japanese |
| Language Subject |
| Last update |
| 3/29/2022 11:02:56 AM |