Course title
V0640300
Fundamentals of Mathematics

 suzuki tatsuo Click to show questionnaire result at 2016
Course description
This is a course on fundamental concepts of mathematics. Students will learn about sets, logic, mappings, equivalence relations and cardinal number.
Purpose of class
The object of this course is to learn fundamental concepts of set theory.
Goals and objectives
  1. To learn fundamental concepts of set theory and logic.
  2. To learn fundamental concepts of mapping.
  3. To understand about equivalence relations and cardinal number.
Language
Japanese
Class schedule

 Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. Review of sets Review of elementary set theory 150minutes
2. Set operations Review of sets 200minutes
3. Logical operations Review of set operations 200minutes
4. Universal quantifier, existence quantifier Review of logical operations 200minutes
5. Power sets, direct product Review of universal quantifier and existence quantifier 200minutes
6. Mapping(image, inverse image) Review of power sets and direct product 200minutes
7. Mapping(surjection, injection) Review of mapping 200minutes
8. Midterm examination and comments Review of the above 200minutes
9. Bijection, inverse mapping Review of surjection and injection 200minutes
10. Some properties of mapping Review of bijection, inverse mapping 200minutes
11. Equivalence relations Review of properties of mapping 200minutes
12. Cardinal number Review of equivalence relations 200minutes
13. Countable sets, Uncountable sets Review of cardinal number 200minutes
14. Final examination and comments Review of all topics 200minutes
Total. - - 2750minutes
Relationship between 'Goals and Objectives' and 'Course Outcomes'

 Midterm exam Final exam Total.
1. 20% 10% 30%
2. 20% 10% 30%
3. 40% 40%
Total. 40% 60% -
Evaluation method and criteria
Midterm examination (40%), final examination (60%)
Textbooks and reference materials
Will announce in the first lecture.
Prerequisites
Elementary set theory and logic.
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 07:49:07 JST 2018