### 2020　Mathematical Engineering

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Undergraduate major in Industrial Engineering and Economics
Instructor(s)
Nakata Kazuhide
Course component(s)
Lecture
Mode of instruction
ZOOM
Day/Period(Room No.)
Tue3-4(W935)  Fri3-4(W935)
Group
-
Course number
IEE.A203
Credits
2
2020
Offered quarter
3Q
Syllabus updated
2020/9/18
Lecture notes updated
-
Language used
Japanese
Access Index

### Course description and aims

This course treats inner product space, eigenvalues, differential equation, Laplace transform, Fourier series.

Linear algebra and analysis are vital in the field of industrial management. The course teaches the fundamentals of linear algebra and analysis.

### Student learning outcomes

By completing this course, students will be able to:
inner product space, eigenvalues, differential equation, Laplace transform, Fourier series.

### Keywords

mathematics, industrial management, 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

I 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 Orthogonal Exercise the contents of section 18-2,3 of textbook.
Class 3 Gram Schmidt's orthogonalization Understand the contents of section 19-1,2 of textbook.
Class 4 Subspace and Orthogonal Exercise 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 Exercise 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) Exercise 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 Exercise 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) Exercise the contents of 23-1 of textbook.
Class 13 Properties of Laplace Transform (Lecture) Understand the contents of 23-2 of textbook.
Class 14 Application of Laplace Transform Exercise the contents of 23-3 of textbook.

### 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)

Miyakawa, Mizuno, Yajima. mathematics of industrial management, Asakura publishing, 2004 (Japanese)

None required

### Assessment criteria and methods

Students will be assessed on their understanding of inner product space, differential equation, Laplace transform, Fourier series and their ability to apply them to solve problems.
Students' course scores are based on exercise problems.

### Related courses

• IEE.A201 ： Basic Mathematics for Industrial Engineering and Economics
• IEE.A202 ： Mathematics for Industrial Engineering and Economics

No prerequisites