Course title
線形代数学Ⅰ   [Linear Algebra Ⅰ]
Course category technology speciality courses,ets.  Requirement   Credit 2 
Department   Year 14  Semester Spring 
Course type Spring  Course code 021302
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 7:58:28 AM