63071002 Linear AlgebraII

Hiroshima University Syllabus

Japanese

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

Lecture Code 63071002 Subject Classification Foundation Courses

Subject Name 線形代数学II[1理数]

Subject Name
（Katakana）センケイダイスウガク２

Subject Name in
English Linear AlgebraII

Instructor KIMURA SHIYUNICHI

Instructor
(Katakana) キムラ　シュンイチ

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

Days, Periods, and Classrooms (3T) Weds3-4,Fri5-6：IAS K109

Lesson Style Lecture Lesson Style
(More Details) 　

Lectures, Blackboard

Credits 2.0 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 w
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 One can define additions and scalar multiplications for geometric vectors, without reference to the coordinates.  A set V is called Abstract Linear Space when addition and scalar multiplication are defined, and identified with the number linear space once a basis (therefore a coordinate) is fixed.  We learn how to treat Abstract Linear Space.  Also we learn how to compute Eigenvalues, Eigenvectors and how to use them.

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 Midterm
lesson10 Eigenvalues and Eigenvectors
lesson11 Diagonalization
lesson12 Applications of eivenvectors (1)
lesson13 Applications of eivenvectors (2)
lesson14 Cayley-Hamilton Theorem
lesson15 Final Exam

Midterm and Final Exam.  Also some reports

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 Review every lecture carefully.  Students are supposed to understand the previous lectures.

Requirements Based on the lecture of Linear AlgebraI

Grading Method The grade will be based on final examination, midterm examination, and/or assignments.

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	63071002	Subject Classification	Foundation Courses
Subject Name	線形代数学II[1理数]
Subject Name （Katakana）	センケイダイスウガク２
Subject Name in English	Linear AlgebraII
Instructor	KIMURA SHIYUNICHI
Instructor (Katakana)	キムラ　シュンイチ
Campus	Higashi-Hiroshima	Semester/Term	1st-Year, Second Semester, 3Term
Days, Periods, and Classrooms	(3T) Weds3-4,Fri5-6：IAS K109
Lesson Style	Lecture	Lesson Style (More Details)
Lectures, Blackboard
Credits	2.0	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 w
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	One can define additions and scalar multiplications for geometric vectors, without reference to the coordinates. A set V is called Abstract Linear Space when addition and scalar multiplication are defined, and identified with the number linear space once a basis (therefore a coordinate) is fixed. We learn how to treat Abstract Linear Space. Also we learn how to compute Eigenvalues, Eigenvectors and how to use them.
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 Midterm lesson10 Eigenvalues and Eigenvectors lesson11 Diagonalization lesson12 Applications of eivenvectors (1) lesson13 Applications of eivenvectors (2) lesson14 Cayley-Hamilton Theorem lesson15 Final Exam Midterm and Final Exam. Also some reports
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	Review every lecture carefully. Students are supposed to understand the previous lectures.
Requirements	Based on the lecture of Linear AlgebraI
Grading Method	The grade will be based on final examination, midterm examination, and/or assignments.
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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