63071010 Linear AlgebraII

Hiroshima University Syllabus

Japanese

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

Lecture Code 63071010 Subject Classification Foundation Courses

Subject Name 線形代数学II[1情]

Subject Name
（Katakana）センケイダイスウガク２

Subject Name in
English Linear AlgebraII

Instructor NAGAHARA MASAAKI

Instructor
(Katakana) ナガハラ　マサアキ

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

Days, Periods, and Classrooms (3T) Mon9-10,Thur9-10：IAS K211

Lesson Style Lecture Lesson Style
(More Details) 　

Lecture-oriented class

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

Keywords

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 The aim of classes is to acquire basic knowledge and skills about the linear algebra together with "Linear Algebra I".

Class Schedule [An Example of Class Schedule]
lesson1: Vector Space and Linear Subsapce
lesson2: Linear Dependence and Independence
lesson3: Linear Spaces
lesson4: Maximum Number of Independent Vectors
lesson5: Basis and Dimension
lesson6: Mapping
lesson7: Linear Mapping and Transformation Matrices
lesson8: Image and Kernel of Linear Mapping
lesson9: Inner Product Space
lesson10: Orthonormal Basis
lesson11: Orthonormal Matrices and Unitary Matrices
lesson12: Eigenvalues and Eigenvectors
lesson13: Diagonalization of a Matrix
lesson14: Schur Triangulation
lesson15: Eigendecomposition of a Real Symmetric Matrix

Text/Reference
Books,etc. Gilbert Strang, Linear Algebra for Everyone
https://math.mit.edu/~gs/everyone/

PC or AV used in
Class,etc. 　

(More Details) Textbook, handouts, and/or screen.

Learning techniques to be incorporated 　

Suggestions on
Preparation and
Review Prepare and review as needed.

Requirements The knowledge of "Llinear Algebra I" is premised.

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 【In case the number of registered students exceed 250, a computerized random selection will be carried out.】

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	63071010	Subject Classification	Foundation Courses
Subject Name	線形代数学II[1情]
Subject Name （Katakana）	センケイダイスウガク２
Subject Name in English	Linear AlgebraII
Instructor	NAGAHARA MASAAKI
Instructor (Katakana)	ナガハラ　マサアキ
Campus	Higashi-Hiroshima	Semester/Term	1st-Year, Second Semester, 3Term
Days, Periods, and Classrooms	(3T) Mon9-10,Thur9-10：IAS K211
Lesson Style	Lecture	Lesson Style (More Details)
Lecture-oriented class
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
Keywords
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	The aim of classes is to acquire basic knowledge and skills about the linear algebra together with "Linear Algebra I".
Class Schedule	[An Example of Class Schedule] lesson1: Vector Space and Linear Subsapce lesson2: Linear Dependence and Independence lesson3: Linear Spaces lesson4: Maximum Number of Independent Vectors lesson5: Basis and Dimension lesson6: Mapping lesson7: Linear Mapping and Transformation Matrices lesson8: Image and Kernel of Linear Mapping lesson9: Inner Product Space lesson10: Orthonormal Basis lesson11: Orthonormal Matrices and Unitary Matrices lesson12: Eigenvalues and Eigenvectors lesson13: Diagonalization of a Matrix lesson14: Schur Triangulation lesson15: Eigendecomposition of a Real Symmetric Matrix
Text/Reference Books,etc.	Gilbert Strang, Linear Algebra for Everyone https://math.mit.edu/~gs/everyone/
PC or AV used in Class,etc.
(More Details)	Textbook, handouts, and/or screen.
Learning techniques to be incorporated
Suggestions on Preparation and Review	Prepare and review as needed.
Requirements	The knowledge of "Llinear Algebra I" is premised.
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	【In case the number of registered students exceed 250, a computerized random selection will be carried out.】
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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