Course title | |||||
有機材料化学講座特別講義Ⅰ [Special Lecture on Organic Materials I] | |||||
Course category | courses for master's programs | Requirement | Credit | 2 | |
Department | Year | ~ | Semester | Fall | |
Course type | Fall | Course code | 1060215 | ||
Instructor(s) | |||||
合田 洋 [GODA Hiroshi] | |||||
Facility affiliation | Faculty of Engineering | Office | 12-211 | Email address |
Course description |
I will give lectures on Knot theory. |
Expected Learning |
We are able to understand elementary notions of Knot theory. |
Course schedule |
1. Guidance 2. Knots and Links 3. Reidemeister moves 4. An idea of invariants 5. Alexander polynomial 6. Jones polynomials 7. Kinoshita-Terasaka knot 8. Surfaces 9. A surface spanned along a knot 10. Seifert matrix and Alexander polynomial 11. Signature of knots 12. Tangle 13. Rational tangles and 2-bridge knots 14. An application to science I 15. An application to science II |
Prerequisites |
Linear Algebra I and II |
Required Text(s) and Materials |
References |
Show in the first lecture |
Assessment/Grading |
Message from instructor(s) |
Let's enjoy knot theory |
Course keywords |
Knots, Links, Invariants, Alexander polynomial, Jones polynomial |
Office hours |
Thursday 17:00-18:00 |
Remarks 1 |
Remarks 2 |
Related URL |
http://web.tuat.ac.jp/~goda/lecture/lecture30winter.html |
Lecture Language |
Japanese |
Language Subject |
Last update |
9/10/2018 2:00:57 PM |