Course title
V0210200,Z3210100
Set Theory and Topology

 suzuki tatsuo Click to show questionnaire result at 2018
Course description
This is a course on set theory and topology. Students will learn about properties of open sets in a Euclid space, definition of a metric space and topological space, and some topological properties.
Purpose of class
The object of this course is to understand fundamental concepts of set theory and topology, and to be able to prove some theorems in it.
Goals and objectives
  1. To understand fundamental concepts of set theory.
  2. To be able to prove some theorems in set theory.
  3. To understand fundamental concepts of topology.
Language
Japanese
Class schedule

 Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. Sets and mappings Review of fundamental mathematics 150minutes
2. Binary relation, order relation and equivalence relation Review of sets and mappings 200minutes
3. Euclid space Review of binary relation, order relation and equivalence relation 200minutes
4. Open sets in a Euclid space Review of Euclid space 200minutes
5. Properties of open sets Review of open sets in a Euclid space 200minutes
6. Metric space Review of properties of open sets 200minutes
7. Open sets in a metric space Review of metric space 200minutes
8. Midterm examination and comments Review of the above 200minutes
9. Continuous mapping over metric spaces Review of open sets in a metric space 200minutes
10. Topological space Review of continuous mapping over metric spaces 200minutes
11. Continuous mapping over topological spaces Review of topological space 200minutes
12. Compactness Review of continuous mapping over topological spaces 200minutes
13. Hausdorff space, Connectedness Review of compactness 200minutes
14. Final examination and comments Review of the above 200minutes
Total. - - 2750minutes
Relationship between 'Goals and Objectives' and 'Course Outcomes'

 Midterm exam Final exam Total.
1. 20% 20% 40%
2. 10% 20% 30%
3. 10% 20% 30%
Total. 40% 60% -
Evaluation method and criteria
Midterm examination (40%), final examination (60%)
Textbooks and reference materials
Will be announced in the first lecture.
Prerequisites
Fundamental mathematics
Office hours and How to contact professors for questions
  • After class.
Relation to the environment
Non-environment-related course
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
  • Non-social and professional independence development course
Active-learning course
More than one class is interactive
Last modified : Wed Oct 17 07:32:47 JST 2018