Linear Algebra
TeachersKUROSAWA, Yoshio
Grade, SemesterYear 2 1st semest [Department of Information and Electronic Engineering, Faculty of Science and Engineering]
CategoryBasic Major Subjects
Elective, CreditsRequisites 2credit
 Syllabus Number3F113

Course Description

This course relates to numerical calculations, vibration, robotics, etc. Specifically, the following themes are taught.
Elementary operations of vectors, inner product and outer product of vectors, operations of matrix, determinant, cofactor matrix, inverse matrix, solution of simultaneous linear equations using determinant, eigenvalue and eigenvector, diagonalization of matrix, etc.
In this class, it acquires knowledge, technology and ability about diploma policy 2.

Course Objectives

Linear algebra is a field of mathematics used as the foundation when studying natural science and engineering with calculus. This course aims to have the students master the basic knowledge of linear algebra, and to provide training in developing problem solving skills.

Grading Policy

・Term-end examination : 65%
・Short examination : 20%
・Print and the problem to have let out while lecturing : 15%
Students will not be evaluated when they are not attending lectures more than 2/3. Small test will be returned after grading and will be explained during lecture. Answers will be upload to LMS.

Textbook and Reference

KindTitleAuthorPublisher
Textbookbasics of science and technology Linear algebraShigeru Ishihara et alShokabo
ISBN978-4-7853-1093-6
References

Requirements(Assignments)

Make preparation which takes the following course by solving the exercises - the exercises in the textbook and so on. It carries the photograph of the writing of each time on the blackboard on LMS until lecture in the next time, confirm and review contents beforehand.
Please prepare and review the lecture for about 3 hours each time.

Note

If you’re absent from lecture, please study and revise the topics taught on that day.

Schedule

1Sum, difference, constant, inner product of vector
2Outer product of vector
3Sum, difference, product of matrix
4 Transposed matrix, symmetric matrix, skew-symmetric matrix, inverse matrix
5Calculation of determinant
6Property of determinant
7Calculation of determinant by cofactor expansion
8 Inverse matrix is calculated by cofactor matrix
9Short examination, solution of the coalition linear equation
10Commentary of the short examination and summary of the first half
11Rank of matrix, solution of inverse matrix by method of elimination
12Linear independence, linear dependence
13Linear transformation
14Eigenvalue and eigenvector
15Diagonalization of matrix