Course title
線形代数学Ⅰ   [Linear Algebra Ⅰ]
Course category technology speciality courses  Requirement   Credit 2 
Department   Year 14  Semester 1st 
Course type 1st  Course code 021901
Instructor(s)
神谷 亮   [KAMIYA Riyou]
Facility affiliation Graduate School of Engineering Office building 12, room 226  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.
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
1/24/2021 5:18:11 PM