| Course title | |||||
| 線形代数学Ⅰ [Linear Algebra Ⅰ] | |||||
| Course category | technology speciality courses,ets. | Requirement | Credit | 2 | |
| Department | Year | 1～4 | Semester | Spring | |
| Course type | Spring | Course code | 021402 | ||
| Instructor(s) | |||||
| 津田 照久 [TSUDA Teruhisa] | |||||
| Facility affiliation | Graduate School of Engineering | Office | Email address | ||
| Course description |
| Linear algebra provides indispensable tools to analyze various mathematical phenomena appearing in engineering. In this course, we will learn various computations based on matrices so that we can treat more abstract notions such as vector spaces at hand. |
| Expected Learning |
| The goal of this course is to be capable of performing basic operations on matrices. |
| Course schedule |
|
1. Definition of matrices 2. Matrix operations 3. Block divisions of matrices 4. Elementary transformations, row echelon form of matrices and ranks 5. Solving systems of linear equations 6. Regular matrices and their inverses 7. Exercises 8. Permutations I 9. Permutations II 10. Determinants I 11. Determinants II 12. Exercises on calculations of determinants 13. Cofactor matrices and Cramer’s formula 14. Exercises for all the contents 15. Term examination |
| Prerequisites |
| Nothing in particular |
| Required Text(s) and Materials |
| Nothing in particular. But, you should have at least one book on “linear algebra”. |
| References |
| Miyake Toshitsune, “Nyuumon-Senkei-Daisuu”, Baifu-kan, etc. |
| Assessment/Grading |
|
By the term examination (and some reports). |
| Message from instructor(s) |
| Try to solve many problems and exercises. |
| Course keywords |
| matrix, rank, how to solve system of linear equations, determinant, inverse matrix |
| Office hours |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Language Subject |
| Last update |
| 3/2/2017 10:55:58 AM |