| Course title | |||||
| 電磁気学演習 [Exercises in Electromagnetism] | |||||
| Course category | Requirement | Credit | 2 | ||
| Department | Year | ～ | Semester | YearLong | |
| Course type | YearLong | Course code | 108c0312 | ||
| Instructor(s) | |||||
| 西舘 泉 [NISHIDATE Izumi] | |||||
| Facility affiliation | Graduate School of Bio-Applications and Systems Engineering | Office | 2-221, 2-327 1-416, 2-220A | Email address | |
| Course description |
|
Lectures on the mathematics of knots and their applications. I will start with the basic idea and discuss the prospects for its application to science. |
| Expected Learning |
| The goal is to get to know the basic concepts in knot theory. |
| Course schedule |
|
1. An introduction to knot and links 2. Knot equivalence 3. Reidemeister moves 4. Knot invariants 5. Alexandewr polynomial 6. Jones Polynomial 7. Kinoshita-Terasaka knot 8. Surfaces 9. Seifert surfaces 10. Seifert matrix and Alexander polynomial 11. Signature of knots 12. Tangles 13. Rational tangles and 2-bridge knots 14. Applications to Science I 15. Applications to Science II |
| Prerequisites |
| Non |
| Required Text(s) and Materials |
| We do not require any text book. |
| References |
| I will introduce in the class. |
| Assessment/Grading |
| Evaluate as 100% report (Create a report on the questions asked in class and evaluate from the perspective of whether the attainment standard has been achieved) |
| Message from instructor(s) |
| Course keywords |
| knot, link, graph, invariant, Alexander polynomial, Jones polynomial, adjacency matrix |
| Office hours |
| Thu. 17:00-18:00 |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Japanese |
| Language Subject |
| Last update |
| 3/22/2023 2:21:42 PM |