63070011 Linear AlgebraI

Hiroshima University Syllabus

Japanese

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

Lecture Code 63070011 Subject Classification Foundation Courses

Subject Name 線形代数学I[1情]

Subject Name
（Katakana）センケイダイスウガク１

Subject Name in
English Linear AlgebraI

Instructor NAGAHARA MASAAKI

Instructor
(Katakana) ナガハラ　マサアキ

Campus Higashi-Hiroshima Semester/Term 1st-Year, First Semester, 1Term

Days, Periods, and Classrooms (1T) Mon9-10,Fri9-10：IAS K107

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 IＩ".

Class Schedule [An Example of Class Schedule]
lesson1: Matrix, Vector and Calculation of Matrices
lesson2: Square Matrices and their Properties
lesson3: Block Matrices
lesson4: Simultaneous Linear Equations
lesson5: Gaussian Elimination and Rank
lesson6: Definition of Determinant
lesson7: Solution of Simultaneous Linear Equations
lesson8: Solution of Homogeneous Simultaneous Linear Equations
lesson9: Introduction to Determinant
lesson10: Permutations and their Properties
lesson11: Sign of Permutation
lesson12: Determinant and it basic Properties
lesson13: Properties of Determinant
lesson14: Laplace Expansion
lesson15: Determinant of Special Types of Matrices

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

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	63070011	Subject Classification	Foundation Courses
Subject Name	線形代数学I[1情]
Subject Name （Katakana）	センケイダイスウガク１
Subject Name in English	Linear AlgebraI
Instructor	NAGAHARA MASAAKI
Instructor (Katakana)	ナガハラ　マサアキ
Campus	Higashi-Hiroshima	Semester/Term	1st-Year, First Semester, 1Term
Days, Periods, and Classrooms	(1T) Mon9-10,Fri9-10：IAS K107
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 IＩ".
Class Schedule	[An Example of Class Schedule] lesson1: Matrix, Vector and Calculation of Matrices lesson2: Square Matrices and their Properties lesson3: Block Matrices lesson4: Simultaneous Linear Equations lesson5: Gaussian Elimination and Rank lesson6: Definition of Determinant lesson7: Solution of Simultaneous Linear Equations lesson8: Solution of Homogeneous Simultaneous Linear Equations lesson9: Introduction to Determinant lesson10: Permutations and their Properties lesson11: Sign of Permutation lesson12: Determinant and it basic Properties lesson13: Properties of Determinant lesson14: Laplace Expansion lesson15: Determinant of Special Types of Matrices
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
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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