63081001 Seminar in Linear AlgebraII

Hiroshima University Syllabus

Japanese

Academic Year 2024Year School/Graduate School Liberal Arts Education Program

Lecture Code 63081001 Subject Classification Foundation Courses

Subject Name 線形代数学演習II[1理数]

Subject Name
（Katakana）センケイダイスウガクエンシユウ２

Subject Name in
English Seminar in Linear AlgebraII

Instructor ISHIHARA KAI

Instructor
(Katakana) イシハラ　カイ

Campus Higashi-Hiroshima Semester/Term 1st-Year, Second Semester, 3Term

Days, Periods, and Classrooms (3T) Mon3-4,Thur5-6：IAS K103

Lesson Style Seminar Lesson Style
(More Details) 　

Seminar

Credits 1.0 Class Hours/Week 　 Language of Instruction J : Japanese

Course Level 1 : Undergraduate Introductory

Course Area（Area） 25 : Science and Technology

Course Area（Discipline） 01 : Mathematics/Statistics

Eligible Students First Year Students

Keywords Vectors, Matrices, Determinants, Cofactor Matrices, Abstract Linear Algebra, Basis, Sub Linear Space, Dual Space, Eigenvalue, Eigenvector, Diagonalization, Upper Triangular Matrix, Cayley-Hamilton theorem, Constant coefficient ordinary differential equation

Special Subject for Teacher Education 　 Special Subject 　

Class Status within
Liberal Arts Education As pre-specialized education, which is organically linked to specialized education, Foundation Courses are aimed at providing students with the basic knowledge necessary to understand specialized studies in their chosen areas, and thereby providing them with the logical structure and system of the basic disciplines in accordance with each subject and the knowledge and skills necessary for further academic development.
Expected Outcome To understand, acquire, and be able to explain the logical structure and system of the basic disciplines in accordance with each subject and the knowledge and skills necessary for further academic development.

Class Objectives
/Class Outline We learn abstract linear spaces, eigenvalues and eigenvectors. Then, we study applications of eigenvalues and eigenvectors.

Class Schedule lesson1 Review: Gauss Elimination and Determinant
lesson2 Calculation of Determinants
lesson3 Determinants of various matrices
lesson4 Abstract Linear Space
lesson5 Axioms
lesson6 Basis
lesson7 Sublinear Spaces
lesson8 Image and Kernel
lesson9 Mid-semester summary
lesson10 Eigenvalues and Eigenvectors
lesson11 Diagonalization
lesson12 Applications of eivenvectors (1)
lesson13 Applications of eivenvectors (2)
lesson14 Cayley-Hamilton Theorem
lesson15 Summary

The small examinations may be given.

Text/Reference
Books,etc. Senkeidaisuugakunyumon (Tokyo Tosho) Shun-ichi Kimura

PC or AV used in
Class,etc. 　

(More Details) Textbook

Learning techniques to be incorporated 　

Suggestions on
Preparation and
Review Try to review each exercise.

Requirements Based on the lecture of Linear AlgebraII

Grading Method The appraisal standard is explained in the courses.

Practical Experience

Summary of Practical Experience and Class Contents based on it

Message

Other

Please fill in the class improvement questionnaire which is carried out on all classes.
Instructors will reflect on your feedback and utilize the information for improving their teaching.

Academic Year	2024Year	School/Graduate School	Liberal Arts Education Program
Lecture Code	63081001	Subject Classification	Foundation Courses
Subject Name	線形代数学演習II[1理数]
Subject Name （Katakana）	センケイダイスウガクエンシユウ２
Subject Name in English	Seminar in Linear AlgebraII
Instructor	ISHIHARA KAI
Instructor (Katakana)	イシハラ　カイ
Campus	Higashi-Hiroshima	Semester/Term	1st-Year, Second Semester, 3Term
Days, Periods, and Classrooms	(3T) Mon3-4,Thur5-6：IAS K103
Lesson Style	Seminar	Lesson Style (More Details)
Seminar
Credits	1.0	Class Hours/Week		Language of Instruction	J : Japanese
Course Level	1 : Undergraduate Introductory
Course Area（Area）	25 : Science and Technology
Course Area（Discipline）	01 : Mathematics/Statistics
Eligible Students	First Year Students
Keywords	Vectors, Matrices, Determinants, Cofactor Matrices, Abstract Linear Algebra, Basis, Sub Linear Space, Dual Space, Eigenvalue, Eigenvector, Diagonalization, Upper Triangular Matrix, Cayley-Hamilton theorem, Constant coefficient ordinary differential equation
Special Subject for Teacher Education		Special Subject
Class Status within Liberal Arts Education	As pre-specialized education, which is organically linked to specialized education, Foundation Courses are aimed at providing students with the basic knowledge necessary to understand specialized studies in their chosen areas, and thereby providing them with the logical structure and system of the basic disciplines in accordance with each subject and the knowledge and skills necessary for further academic development.
Expected Outcome	To understand, acquire, and be able to explain the logical structure and system of the basic disciplines in accordance with each subject and the knowledge and skills necessary for further academic development.
Class Objectives /Class Outline	We learn abstract linear spaces, eigenvalues and eigenvectors. Then, we study applications of eigenvalues and eigenvectors.
Class Schedule	lesson1 Review: Gauss Elimination and Determinant lesson2 Calculation of Determinants lesson3 Determinants of various matrices lesson4 Abstract Linear Space lesson5 Axioms lesson6 Basis lesson7 Sublinear Spaces lesson8 Image and Kernel lesson9 Mid-semester summary lesson10 Eigenvalues and Eigenvectors lesson11 Diagonalization lesson12 Applications of eivenvectors (1) lesson13 Applications of eivenvectors (2) lesson14 Cayley-Hamilton Theorem lesson15 Summary The small examinations may be given.
Text/Reference Books,etc.	Senkeidaisuugakunyumon (Tokyo Tosho) Shun-ichi Kimura
PC or AV used in Class,etc.
(More Details)	Textbook
Learning techniques to be incorporated
Suggestions on Preparation and Review	Try to review each exercise.
Requirements	Based on the lecture of Linear AlgebraII
Grading Method	The appraisal standard is explained in the courses.
Practical Experience
Summary of Practical Experience and Class Contents based on it
Message
Other
Please fill in the class improvement questionnaire which is carried out on all classes. Instructors will reflect on your feedback and utilize the information for improving their teaching.

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