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