| 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 | 021702 | ||
| Instructor(s) | |||||
| 合田 洋 [GODA Hiroshi] | |||||
| Facility affiliation | Faculty of Engineering | Office | 12-211 | 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, or 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. Term examination |
| Prerequisites |
| Nothing in particular |
| 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 |
| Midterm exam. 50%, Term-end exam. 50% |
| Message from instructor(s) |
| Course keywords |
| Matrix, Rank, System of linear equations, Determinant, Inverse matrix |
| Office hours |
| Thursday 16:30-18:00 |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| http://web.tuat.ac.jp/~goda/lecture/lecture28summer.html |
| Lecture Language |
| Japanese |
| Language Subject |
| Last update |
| 3/4/2017 7:58:50 AM |