2025 (Current Year) Faculty Courses School of Engineering Undergraduate major in Industrial Engineering and Economics
Mathematics for Industrial Engineering and Economics
- Academic unit or major
- Undergraduate major in Industrial Engineering and Economics
- Instructor(s)
- Akiyoshi Shioura
- Class Format
- Lecture (Face-to-face)
- Media-enhanced courses
- -
- Day of week/Period
(Classrooms) - 7-8 Tue / 7-8 Fri
- Class
- -
- Course Code
- IEE.A202
- Number of credits
- 200
- Course offered
- 2025
- Offered quarter
- 2Q
- Syllabus updated
- Mar 19, 2025
- Language
- Japanese
Syllabus
Course overview and goals
This course studies basic mathematics for management sciences and economics. The contents include Euclidean space, metric space, convergence of sequences, continuous functions, convex sets, and convex functions.
Knowledge and ability through this course will help students to solve real problems in management sciences and economics.
Course description and aims
By the end of this course, students will be able to:
1. Understand fundamental properties of Euclidean space and can solve application problems.
2. Understand fundamental properties of metric space, and can solve application problems.
3. Understand fundamental properties of convergence of sequences and continuous functions, and can solve application problems.
4. Understand fundamental properties of convex sets and convex functions, and can solve application problems.
Keywords
Euclidean space, metric space, convergence of sequences, continuous functions, convex sets, convex functions
Competencies
- Specialist skills
- Intercultural skills
- Communication skills
- Critical thinking skills
- Practical and/or problem-solving skills
Class flow
In each lecture, lecture materials will be uploaded to T2SCHOLA so that students can read and understand the content.
Before the end of the class, exercises related to the contents of the day's class will be presented, and students are expected to solve them before the next class as a report.
Submission is optional.
A mid-term exam and a final exam will be given to check the level of understanding.
Course schedule/Objectives
| Course schedule | Objectives | |
|---|---|---|
| Class 1 | Euclidean space | Announced in classes. |
| Class 2 | open and closed sets | Announced in classes. |
| Class 3 | metric space | Announced in classes. |
| Class 4 | convergence of sequences | Announced in classes. |
| Class 5 | convergence of sequences | Announced in classes. |
| Class 6 | continuous functions | Announced in classes. |
| Class 7 | mid-term exam | check the level of understanding of the classes 1-6. |
| Class 8 | Cauchy sequence and sub-sequence | Announced in classes. |
| Class 9 | Cauchy sequence and sub-sequence | Announced in classes. |
| Class 10 | minimization of continuous functions | Announced in classes. |
| Class 11 | convex sets | Announced in classes. |
| Class 12 | convex functions | Announced in classes. |
| Class 13 | convex functions | Announced in classes. |
| Class 14 | final exam | check the level of understanding of the classes 8-13. |
Study advice (preparation and review)
To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class.
They should do so by referring to textbooks and other course material.
Textbook(s)
KEIEIKOGAKU NO SURI I, Miyakawa, Mizuno, and Yajima, Asakura-Syoten, 2004.
Reference books, course materials, etc.
None required
Evaluation methods and criteria
Students will be assessed on their understanding of Euclidean space, metric space, topological space, convergence of sequences, continuous functions, convex sets, and convex functions.
Students' course scores are based on midterm and final exams and reports.
Related courses
- IEE.A201 ： Basic Mathematics for Industrial Engineering and Economics
- IEE.A203 ： Mathematical Engineering
Prerequisites
As a general rule, we accept only students in the Department of Industrial Engineering and Economics.