### 2019　Basic Mathematics for Industrial Engineering and Economics

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Undergraduate major in Industrial Engineering and Economics
Instructor(s)
Matsui Tomomi
Course component(s)
Lecture
Day/Period(Room No.)
Tue7-8(S011)  Fri7-8(S011)
Group
-
Course number
IEE.A201
Credits
2
2019
Offered quarter
1Q
Syllabus updated
2019/4/5
Lecture notes updated
-
Language used
Japanese
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### 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

Intercultural skills Communication skills Specialist 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.

None required

### Assessment criteria and methods

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.