### 2019　Mathematical Engineering

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Academic unit or major
Undergraduate major in Industrial Engineering and Economics
Instructor(s)
Nakata Kazuhide
Course component(s)
Lecture
Day/Period(Room No.)
Tue3-4(W935)  Fri3-4(W935)
Group
-
Course number
IEE.A203
Credits
2
2019
Offered quarter
3Q
Syllabus updated
2019/8/19
Lecture notes updated
-
Language used
Japanese
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### 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

Intercultural skills Communication skills Specialist skills Critical thinking skills Practical and/or problem-solving skills
- - - -

### Class flow

Towards the end of class, students are given exercise problems related to what is taught on that day to solve.

### Course schedule/Required learning

Course schedule Required learning
Class 1 Inner product and Orthogonal (Lecture) Understand the contents of section 18-1,2,3 of textbook.
Class 2 Inner product and Orthogonal (Exercise) Exercise the contents of section 18-1,2,3 of textbook.
Class 3 Subspace and Orthogonal (Lecture) Understand the contents of section 19 of textbook.
Class 4 Subspace and Orthogonal (Exercise) Exercise the contents of section 19 of textbook.
Class 5 Eigenvalues • eigenvector (Lecture) Understand the contents of section 20 of textbook.
Class 6 Application of Eigenvalues and Eigenvectors (Lecture) Understand the contents of section 21 of textbook.
Class 7 Eigenvalues • eigenvector and Application of Eigenvalues and Eigenvectors (Exercise) Exercise the contents of section 20 and 21 of textbook.
Class 8 1st Order Differential Equation (Lecture) Understand the contents of 23-1,2,3 of textbook.
Class 9 1st Order Differential Equation (Exercise) Exercise the contents of 22-1,2,3 of textbook.
Class 10 High Order Differential Equation and Laplace Transform (Lecture) Understand the contents of 22-4, 23-1 of textbook.
Class 11 High Order Differential Equation and Laplace Transform (Exercise) Exercise the contents of 22-4, 23-1 of textbook.
Class 12 Application of Laplace Transform (Lecture) Understand the contents of 23-2,3 of textbook.
Class 13 Application of Laplace Transform (Exercise) Exercise the contents of 23-2,3 of textbook.
Class 14 Function Space and Fourier Series (Lecture) Understand the contents of section 24 of textbook.
Class 15 Function Space and Fourier Series (Exercise) Exercise the contents of section 24 of textbook.

### 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 midterm and final exams (80%) and exercise problems (20%).

### Related courses

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

No prerequisites