| Course title | |||||
| 三大学連携特別講義Ⅱ（Linear Algebra and Exercises） [Inter-University Special LectureⅡ(Linear Algebra and Exercises)] | |||||
| Course category | Liberal Arts and Fundamental Studies | Requirement | Credit | 2 | |
| Department | Year | 1～4 | Semester | 2nd | |
| Course type | 2nd | Course code | 020236 | ||
| 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. This course is offered in English as one of the Multidisciplinary Courses of the Global Integrated Studies, and is open to students from Tokyo University of Foreign Studies and the University of Electro-Communications. |
| Expected Learning |
|
The goal of this course is to be capable of performing basic operations on matrices.The goal of this lecture is to become able to learn various characteristics about matrices and to do concrete caluculations.This is often necessary to describe and analyze various phenomena in science fields. Competency development: Ability to Explore Knowledge, Reading Comprehension skills, Knowledge on Science and Technology" |
| 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, 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. Summary, Term examination |
| Prerequisites |
|
In addition to 30 hours you spend in the class, you are recommended to prepare for and revise the classes spending the standard amount of time as specified by the University, using the textbook as suggested below. |
| Required Text(s) and Materials |
|
Introduction to Linear Algebra, Johnson Riess Arnold |
| References |
|
None |
| Assessment/Grading |
|
Midterm examination 50%, Term examination 50% We do not add points only for attendance. |
| Message from instructor(s) |
| In addition to exercises in lesson hours, please actively solve the problems and leran basic calculations firmly. |
| Course keywords |
| Matrix, Rank, System of linear equations, Determinant, Inverse matrix |
| Office hours |
| Thursday 16:00-17:00 |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| http://web.tuat.ac.jp/~goda/jindex.html |
| Lecture Language |
| English |
| Language Subject |
| Last update |
| 3/15/2019 8:27:54 AM |