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.
By completing this course, students will be able to:
inner product space, eigenvalues, differential equation, Laplace transform, Fourier series.
mathematics, industrial management, inner product space, differential equation
✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | Practical and/or problem-solving skills |
Towards the end of class, students are given exercise problems related to what is taught on that day to solve.
Course schedule | Required learning | |
---|---|---|
Class 1 | Inner product and Orthogonal (Lecture) | Understand the contents of section 18 of textbook. |
Class 2 | Inner product and Orthogonal (Exercise) | Exercise the contents of section 18 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 | Eigenvalues and Eigenvector (Exercise) | Exercise the contents of section 20 of textbook. |
Class 7 | Application of Eigenvalues and Eigenvectors (Lecture) | Understand the contents of section 21 of textbook. |
Class 8 | Application of Eigenvalues and Eigenvectors (Exercise) | Exercise the contents of section 21 of textbook. |
Class 9 | 1st Order Differential Equation (Lecture) | Understand the contents of 23-1,2,3 of textbook. |
Class 10 | 1st Order Differential Equation (Exercise) | Exercise the contents of 22-1,2,3 of textbook. |
Class 11 | High Order Differential Equation and Laplace Transform (Lecture) | Understand the contents of 22-4, 23-1 of textbook. |
Class 12 | High Order Differential Equation and Laplace Transform (Exercise) | Exercise the contents of 22-4, 23-1 of textbook. |
Class 13 | Application of Laplace Transform (Lecture) | Understand the contents of 23-2,3 of textbook. |
Class 14 | Application of Laplace Transform (Exercise) | Exercise the contents of 23-2,3 of textbook. |
Class 15 | Function Space and Fourier Series | Understand the contents of section 24 of textbook. |
Miyakawa, Mizuno, Yajima. mathematics of industrial management, Asakura publishing, 2004 (Japanese)
None required
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%).
No prerequisites