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	3rd
Course type	3rd	Course code	1060215
Instructor(s)
畠中 英里, 合田 洋   [HATAKENAKA Eri, GODA Hiroshi]
Facility affiliation	Faculty of Engineering	Office	afjgxte/L1151	Email address

Course description

Topology is one of the branch of mathematics, which is concerned with the properties of geometric objects. In this course we will learn an introduction to topology.

Expected Learning

The goal of this course is to understand the logic of topology. Corresponding criteria in the Diploma Policy: See the Curriculum maps.

Course schedule

1. An introduction to topology I 2. An introduction to topology II 3. Graphs 4. Topological invariants I 5. Topological invariants II 6. Topological invariants III 7. Mappings in toplogy I 8. Mappings in toplogy II 9. Manifolds I 10. Manifolds II 11. Embeddings and immersions I 12. Embeddings and immersions II 13. Fundamental groups 14. Geometric structure 15. Geometric structures in 3 dimensional topological spaces

Prerequisites

In addition to 30 hours that students spend in the class, students are recommended to prepare for and revise the lectures, spending the standard amount of time as specified by the University.

Required Text(s) and Materials

We do not need to prepare any textbooks.

References

『ざっくりわかるトポロジー　内側も外側もない「クラインの壺」ってどんな壺？ 「宇宙の形」は1本の「ひも」を使えばわかる？』　名倉真紀、今野紀雄 著 SBクリエイティブ株式会社 サイエンス・アイ新書 『低次元の幾何からポアンカレ予想へ 〜世紀の難問が解決されるまで〜』　市原一裕 著　株式会社技術評論社 数学への招待シリーズ

Assessment/Grading

It will be evaluated by reports written about problems presented during lectures.

Message from instructor(s)

Course keywords

Office hours

It will be arranged suitably.

Remarks 1

Remarks 2

Related URL

Lecture Language

Japanese

Language Subject

Last update

12/25/2019 4:55:56 PM