| Course title | |||||
| ベクトル解析および演習 [Vector Analysis & Practices] | |||||
| Course category | technology speciality courses,ets. | Requirement | Credit | 3 | |
| Department | Year | 1～4 | Semester | Fall | |
| Course type | Fall | Course code | 021725 | ||
| Instructor(s) | |||||
| 岩井 俊昭 [IWAI Toshiaki] | |||||
| Facility affiliation | Graduate School of Bio-Applications and Systems Engineering | Office | Email address | ||
| Course description |
| Expected Learning |
| Course schedule |
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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 |
| Required Text(s) and Materials |
| References |
| Assessment/Grading |
| Message from instructor(s) |
| Course keywords |
| Office hours |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Japanese |
| Language Subject |
| English |
| Last update |
| 5/9/2017 7:10:51 PM |