▶Japanese
Post to SNS
- Home
- > School of Engineering
- > Undergraduate major in Industrial Engineering and Economics
- > Mathematical Engineering
- School of Science
-
School of Engineering
- Undergraduate major in Mechanical Engineering
- Undergraduate major in Systems and Control Engineering
- Undergraduate major in Electrical and Electronic Engineering
- Undergraduate major in Information and Communications Engineering
- Undergraduate major in Industrial Engineering and Economics
- Common courses
- School of Materials and Chemical Technology
- School of Computing
- School of Life Science and Technology
- School of Environment and Society
- 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)
- Uozumi Ryuji
- Class Format
- Lecture (Face-to-face)
- Media-enhanced courses
- Day/Period(Room No.)
- Mon5-6(W8E-101) Thr5-6(W8E-101)
- Group
- -
- Course number
- IEE.A203
- Credits
- 2
- Academic year
- 2023
- Offered quarter
- 3Q
- Syllabus updated
- 2023/10/2
- Lecture notes updated
- -
- Language used
- Japanese
- Access Index
-
Course description and aims
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.
Student learning outcomes
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 that will be developed
| ✔ 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/Required learning
| Course schedule | Required learning | |
|---|---|---|
| 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 |
Out-of-Class Study Time (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
Assessment criteria and methods
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 (i.e., required knowledge, skills, courses, etc.)
No prerequisites
