Course title
線形代数学Ⅰ   [Linear Algebra Ⅰ]
Course category	technology speciality courses	Requirement		Credit	2
Department		Year	1～4	Semester	1st
Course type	1st	Course code	021902
Instructor(s)
直井 克之   [NAOI Katsuyuki]
Facility affiliation	Faculty of Engineering	Office	afjgxte/L1151	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. 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. Exercise 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

入門線形代数（三宅敏恒）培風館

References

線形代数演習（斎藤正彦）東京大学出版会

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

After the class

Remarks 1

Remarks 2

Related URL

Lecture Language

Japanese

Language Subject

Last update

1/28/2021 12:29:35 PM