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School of Engineering
- Undergraduate major in Mechanical Engineering
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- Undergraduate major in Industrial Engineering and Economics
- Common courses
- School of Materials and Chemical Technology
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- 工学院，物質理工学院，環境・社会理工学院共通科目
- Liberal arts and basic science courses
- First-Year Courses
- School of Science
- School of Engineering
- School of Materials and Chemical Technology
- School of Computing
- School of Life Science and Technology
-
School of Environment and Society
- Department of Architecture and Building Engineering
- Department of Civil and Environmental Engineering
- Department of Transdisciplinary Science and Engineering
- Department of Social and Human Sciences
- Department of Innovation Science
- Graduate major in Technology and Innovation Management
- Common courses
- Liberal arts and basic science courses
- Academic unit or major
- Undergraduate major in Industrial Engineering and Economics
- Instructor(s)
- Matsui Tomomi
- Class Format
- Lecture
- Media-enhanced courses
- Day/Period(Room No.)
- Tue7-8(S011) Fri7-8(S011)
- Group
- -
- Course number
- IEE.A201
- Credits
- 2
- Academic year
- 2017
- Offered quarter
- 1Q
- Syllabus updated
- 2017/3/17
- Lecture notes updated
- -
- Language used
- Japanese
- Access Index
-
Course description and aims
This course aims to enable students to understand basic mathematical tools widely applicable to construct models in economic and management situations. The topics include propositional logic, mapping and correspondence, equivalence relation, maximum and minimum.
Knowledge and ability through this course will help students to deal with real problems in management sciences and economics.
Student learning outcomes
At the end of this course, students will be able to:
Understand fundamental properties of propositional logic,
Understand fundamental properties of mapping and correspondence,
Understand fundamental properties of equivalence relation,
Understand fundamental properties of maximum and minimum.
Keywords
propositional logic, mapping and correspondence, equivalence relation, maximum and minimum
Competencies that will be developed
| ✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | Practical and/or problem-solving skills |
Class flow
This class will be held in lecture form. If time allows, some exercise problems will be explained.
Course schedule/Required learning
| Course schedule | Required learning | |
|---|---|---|
| Class 1 | Logical operators | Details will be given in each lecture. |
| Class 2 | propositional logic | |
| Class 3 | propositional function | |
| Class 4 | inference | |
| Class 5 | sets and subsets | |
| Class 6 | set operations | |
| Class 7 | mapping and correspondence | |
| Class 8 | surjection and injection | |
| Class 9 | sequences | |
| Class 10 | family of sets | |
| Class 11 | equivalence relation | |
| Class 12 | equivalence class | |
| Class 13 | order relation | |
| Class 14 | maximum and minimum | |
| Class 15 | summary of the lecture |
Textbook(s)
M. Miyakawa, S. Mizuno, and Y. Yajima,``Mathematics for industrial engineering,'' Asakura Publishing Co., Ltd., 2004.
Reference books, course materials, etc.
None required
Assessment criteria and methods
試験（70％），演習・宿題（30％）で成績を評価します。
Midterm and final exams 70%, exercise problems 30%.
Related courses
- IEE.A202 ： Mathematics for Industrial Engineering and Economics
- IEE.A203 ： Mathematical Engineering
Prerequisites (i.e., required knowledge, skills, courses, etc.)
No prerequisites are necessary, but enrollment in related courses is desirable.
