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School of Engineering
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- 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)
- Shioura Akiyoshi
- Class Format
- Lecture (Face-to-face)
- Media-enhanced courses
- Day/Period(Room No.)
- Tue7-8(W9-324(W933)) Fri7-8(W9-324(W933))
- Group
- -
- Course number
- IEE.A202
- Credits
- 2
- Academic year
- 2023
- Offered quarter
- 2Q
- Syllabus updated
- 2023/7/10
- Lecture notes updated
- -
- Language used
- Japanese
- Access Index
-
Course description and aims
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.
Student learning outcomes
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 that will be developed
| ✔ 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/Required learning
| Course schedule | Required learning | |
|---|---|---|
| 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. |
Out-of-Class Study Time (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
Assessment criteria and methods
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 (70%) and reports (30%).
Related courses
- IEE.A201 ： Basic Mathematics for Industrial Engineering and Economics
- IEE.A203 ： Mathematical Engineering
Prerequisites (i.e., required knowledge, skills, courses, etc.)
As a general rule, students in the Department of Mathematics/Mathematical and Computing Scieneces are not allowed to take this course.
If the number of students enrolling in the course becomes very large, there may be a possibility of limiting the number of students who belong to departments other than the Department of Industrial Engineering and Economics.
