Course title
6M007400,7M790000
Topics in Mathematics

 kameko masaki
Course content
This year, we use the text book Bott and Tu, Differential forms in algebraic topology to learn the basics of algebraic topology.
Purpose of class
To learn the basics of algebraic topology.
Goals and objectives
  1. To get familiar with deRham theory.
  2. To get familiar with Cech-deRham complex.
  3. To get familiar with spectral sequences.
Language
English
Class schedule

 Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1． Chapter 1, Section 1 and 2 Read the book. 200minutes
2． Chapter 1, Section 3 Read the book. 200minutes
3． Chapter 1, Section 4 Read the book. 200minutes
4． Chapter 1, Section 5 Read the book. 200minutes
5． Chapter 1, Section 6 Read the book. 200minutes
6． Chapter 2, Section 8 and 9 Read the book. 200minutes
7． Midterm exam and review Review. 200minutes
8． Chapter 2, Section 10 and 11 review 200minutes
9． Chapter 2, Section 13 Read the book. 200minutes
10． Chapter 2, Section 14 and 15 Read the book. 200minutes
11． Chapter 2, Section 16 Read the book. 200minutes
12． Chapter 2, Section 17 Read the book. 200minutes
13． Chapter 2, Section 18 Read the book. 200minutes
14． Final exam and review review 200minutes
Total. - - 2800minutes
Relationship between 'Goals and Objectives' and 'Course Outcomes'

 midterm exam final exam Total.
1. 20% 20%
2. 40% 40%
3. 40% 40%
Total. 20% 80% -
Evaluation method and criteria
Examinations (100%).
Textbooks and reference materials
Bott and Tu, Differential forms in algebraic topology.
Prerequisites
Calculus, linear algebra, vector calculus, point set topology, abstract algebra, and basic knowledge on differentiable manifolds
Office hours and How to contact professors for questions
  • 金曜日13:30--14:30（2018年度前期授業期間中）
Relation to the environment
Non-environment-related course
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
  • Course that cultivates an ability for utilizing knowledge
  • Course that cultivates a basic self-management skills
  • Course that cultivates a basic problem-solving skills
  • Non-social and professional independence development course
Active-learning course
Most classes are interactive
Last modified : Wed Oct 17 07:47:26 JST 2018