| Course title | |||||
| 線形代数学Ⅰ [Linear Algebra Ⅰ] | |||||
| Course category | Requirement | Credit | 2 | ||
| Department | Year | 1～ | Semester | 1st | |
| Course type | 1st | Course code | 01ma1001a | ||
| Instructor(s) | |||||
| 神谷 亮 [KAMIYA Riyou] | |||||
| 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. This course is taught by a part-time lecturer. Once the employment of the part-time lecturer is confirmed, this syllabus may be modified. In this case, the official version is the modified syllabus. |
| 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 |
| Miyake Toshitsune, “Nyuumon-Senkei-Daisuu”, Baifu-kan (in Jananese) |
| 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 |
| 1/19/2022 10:57:50 AM |