| Course title | |||||
| 線形代数学Ⅰ [Linear Algebra Ⅰ] | |||||
| Course category | technology speciality courses | Requirement | Credit | 2 | |
| Department | Year | 1～4 | Semester | 1st | |
| Course type | 1st | Course code | 021902 | ||
| Instructor(s) | |||||
| 合田 洋 [GODA Hiroshi] | |||||
| Facility affiliation | Faculty of Engineering | Office | afjgxte/L1151 | 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. Corresponding criteria in the Diploma Policy: See the Curriculum maps |
| 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. Review, and midterm examination 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. Review, and Term examination |
| Prerequisites |
| In addition to 30 hours that students spend in the class, students are recommended to prepare for and revise the lectures, spending the standard amount of time as specified by the University and using the lecture handouts as well as the references specified below. |
| Required Text(s) and Materials |
| Textbooks will be introduced in the first lecture, if necessary. |
| References |
| Miyake Toshitsune, “Nyuumon-Senkei-Daisuu”, Baifu-kan (in Jananese) |
| Assessment/Grading |
| We planned to have "50% for the mid-term exam and 50% for the final exam", but if the test cannot be performed due to the coronavirus, we will inform you of alternative methods such as reports at a later date. After all, considering the situation of Corona, I will evaluate the grades with the weekly assignment submission status and report. |
| Message from instructor(s) |
| Course keywords |
| Matrix, Rank, System of linear equations, Determinant, Inverse matrix |
| Office hours |
| It will be announced in the first lecture. |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Japanese |
| Language Subject |
| Last update |
| 10/10/2020 9:15:56 AM |