2023 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 (W8E-101) / 5-6 Thu (W8E-101)
- Class
- -
- Course Code
- IEE.A203
- Number of credits
- 200
- Course offered
- 2023
- Offered quarter
- 3Q
- Syllabus updated
- Jul 8, 2025
- Language
- Japanese
Syllabus
Course overview and goals
This course provides inner product space, eigenvalues, differential equation, Laplace transform, and Fourier series.
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, Laplace transform, and Fourier series.
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.
Course schedule/Objectives
| Course schedule | Objectives | |
|---|---|---|
| Class 1 | Inner product | Understand the contents of section 18-1 of textbook. |
| Class 2 | Projection | Understand the contents of section 18-2 of textbook. |
| Class 3 | Gram Schmidt's orthogonalization | Understand the contents of section 18-3, 19-1 of textbook. |
| Class 4 | Subspace and Orthogonal | Understand the contents of section 19-2,3 of textbook. |
| Class 5 | Eigenvalues • eigenvector | Understand the contents of section 20-1,2 of textbook. |
| Class 6 | The case of a symmetric matrix | Understand the contents of section 20-3,4 of textbook. |
| Class 7 | Application of Eigenvalues and Eigenvectors (1) | Understand the contents of section 21-1,2 of textbook. |
| Class 8 | Application of Eigenvalues and Eigenvectors (2) | Understand the contents of section 21-3.4 of textbook. |
| Class 9 | Differential Equation | Understand the contents of 23-1,2 of textbook. |
| Class 10 | 1st Order Differential Equation | Understand the contents of 22-2,3 of textbook. |
| Class 11 | High Order Differential Equation | Understand the contents of 22-4 of textbook. |
| Class 12 | Laplace Transform (Exercise) | Understand the contents of 23-1 of textbook. |
| Class 13 | Properties of Laplace Transform (Lecture) | Understand the contents of 23-2 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 do so by referring to textbooks and other course materials.
Textbook(s)
Miyakawa, Mizuno, Yajima. Mathematics of Industrial Management, Asakura Publishing, 2004 (Japanese)
Reference books, course materials, etc.
Unspecified
Evaluation methods and criteria
Exercise problems and final exam
Related courses
- IEE.A201 ： Basic Mathematics for Industrial Engineering and Economics
- IEE.A202 ： Mathematics for Industrial Engineering and Economics
Prerequisites
No prerequisites