| Course title | |||||
| ベクトル解析 [Vector Analysis] | |||||
| Course category | technology speciality courses,ets. | Requirement | Credit | 2 | |
| Department | Year | 2～4 | Semester | Spring | |
| Course type | Spring | Course code | 022310 | ||
| Instructor(s) | |||||
| 前田 博信 [MAEDA Hironobu] | |||||
| Facility affiliation | Faculty of Engineering | Office | 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. Basic theory of space curves 5. Frenet-Serret's formula 6. Basic theory of surfaces 7. Application to computing the area of surfaces 8. Exercises or midterm exam 9. Scalar fields and directional derivatives 10. Gradient and nabla operators 11. Divergence and rotation operators 12. Formulae involving gradient, divergence and rotation 13. Line integrals 14. Surface integrals 15. Gauss' divergence theorem |
| Prerequisites |
| Linear algenra and calculus |
| Required Text(s) and Materials |
| References |
| Assessment/Grading |
| Midterm exam 50%, Term exam 50% |
| Message from instructor(s) |
| Course keywords |
| cross product, line element, unit normal vector, Gauss' divergence theorem, Stokes' theorem |
| Office hours |
| Tue. 10:30 to 11:30 |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Japanese |
| Language Subject |
| Last update |
| 3/5/2018 10:52:29 AM |