2024 Faculty Courses School of Engineering Undergraduate major in Industrial Engineering and Economics
Mathematical Engineering
- Academic unit or major
- Undergraduate major in Industrial Engineering and Economics
- Instructor(s)
- Ryuji Uozumi
- Class Format
- Lecture (Face-to-face)
- Media-enhanced courses
- -
- Day of week/Period
(Classrooms) - 5-6 Mon / 5-6 Thu
- Class
- -
- Course Code
- IEE.A203
- Number of credits
- 200
- Course offered
- 2024
- Offered quarter
- 3Q
- Syllabus updated
- Mar 17, 2025
- Language
- Japanese
Syllabus
Course overview and goals
This course provides inner product space, eigenvalues, differential equation, and Laplace transform.
Students are required to learn linear algebra and analysis in the field of industrial engineering. Students will learn about the fundamentals of linear algebra and analysis.
Course description and aims
This course develops and enriches the fundamental skills in foundational math as follows: inner product space, eigenvalues, differential equation, and Laplace transform.
Keywords
mathematics, industrial engineering, inner product space, differential equation
Competencies
- Specialist skills
- Intercultural skills
- Communication skills
- Critical thinking skills
- Practical and/or problem-solving skills
Class flow
The lecturer will repeat the lectures and exercises. Students have to take mid-term and final exams.
Course schedule/Objectives
| Course schedule | Objectives | |
|---|---|---|
| Class 1 | Inner product | Understand the contents of section 18-1 of textbook. |
| Class 2 | Projection and least squares method | Understand the contents of section 18-2,3 of textbook. |
| Class 3 | Gram Schmidt's orthogonalization | Understand the contents of section 19-1 of textbook. |
| Class 4 | Subspace and Orthogonal, mid-term exam | Understand the contents of section 19-2,3 of textbook. Check the level of understanding |
| Class 5 | Eigenvalues and eigenvector | Understand the contents of section 20-1,2 of textbook. |
| Class 6 | Eigenvalues and eigenvector in the case of a symmetric matrix | Understand the contents of section 20-3,4 of textbook. |
| Class 7 | Application of Eigenvalues and Eigenvectors: quadratic form | Understand the contents of section 21-1 of textbook. |
| Class 8 | Differential Equation (1) | Understand the contents of 22-1,2 of textbook. |
| Class 9 | Differential Equation (2) | Understand the contents of 22-3 of textbook. |
| Class 10 | Differential Equation (3) | Understand the contents of 22-4 of textbook. |
| Class 11 | Differential Equation (4) | Exercise |
| Class 12 | Laplace Transform | Understand the contents of 23-1 of textbook. |
| Class 13 | Differential Equation (5) | Understand the contents of 21-2 of textbook. |
| Class 14 | Final Exam | Check the level of understanding |
Study advice (preparation and review)
To enrich 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 review by writing the contents on the blackboard and referring to textbooks.
Textbook(s)
Miyakawa, Mizuno, Yajima. Mathematics of Industrial Management, Asakura Publishing, 2004 (Japanese)
Reference books, course materials, etc.
Unspecified
Evaluation methods and criteria
Scores will be assessed based on the mid-term and final exams
Related courses
- IEE.A201 ： Basic Mathematics for Industrial Engineering and Economics
- IEE.A202 ： Mathematics for Industrial Engineering and Economics
Prerequisites
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.