| 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 | 021906 | ||
| Instructor(s) | |||||
| 堀口 直之 [HORIGUCHI Naoyuki] | |||||
| Facility affiliation | Graduate School 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 |
|
・To be able to solve simultaneous equations by using elementary transformation of matrices. ・To be able to understand and calculate determinants of matrices. Corresponding criteria in the Diploma Policy: See the Curriculum maps |
| Course schedule |
|
1. Definition and operations of matrices 2. Zero matrix, identity matrix and exponentiations of matrices 3. Transpose of matrices 4. Regular matrices and block matrices 5. Elementary transformations and ranks of matrices 6. Solution of simultaneous linear equations 7. Homogeneous equations 8. Calculations of inverse matrices 9. Definition of ranks of matrices 10. Definition of determinants of matrices 11. Properties of determinants 12. Calculations of determinants 13. Cofactor expansion 14. Linear transformation 15. Review, and 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 |
| “Kyouyou no senkei daisuu”, Baifu-kan |
| References |
| Assessment/Grading |
| It will be announced in Google Classroom. |
| 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 |
| 5/12/2020 10:21:47 AM |