| Academic Year |
2024Year |
School/Graduate School |
Liberal Arts Education Program |
| Lecture Code |
63070002 |
Subject Classification |
Foundation Courses |
| Subject Name |
線形代数学I[1理数] |
Subject Name
（Katakana） |
センケイダイスウガク１ |
Subject Name in
English |
Linear AlgebraI |
| Instructor |
KIMURA SHIYUNICHI |
Instructor
(Katakana) |
キムラ シュンイチ |
| Campus |
Higashi-Hiroshima |
Semester/Term |
1st-Year, First Semester, 1Term |
| Days, Periods, and Classrooms |
(1T) Weds3-4,Fri5-6：IAS K203 |
| Lesson Style |
Lecture |
Lesson Style
(More Details) |
|
| Lectures, mostly on the 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 |
| Keywords |
Vectors, Matrices, Length and Inner Products, Oblique coordinate system, lines and planes, Cayley-Hamilton Theorem, Linear Map, Inverse Matrices, Gauss Elimination, Echelon Form, Rank, Determinant |
| 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 |
In this course of Linear Algebra, we study the geometry of "Linear" objects like lines and planes, the algebra of "Linear" functions, namely degree 1 polynomial, and the "Linear" Formalism, which means that maps preserves additions and scalar multiplications. The goal is to understand the basic algorithms like Gauss Eliminations and Determinants, with theoretical and geometric understanding. |
| Class Schedule |
lesson1 Geometric vectors
lesson2 Oblique coordinate system
lesson3 2x2 matrices via pictures
lesson4 n dimensional vector spaces and matrices
lesson5 Additions, Multiplications
lesson6 Elementary row operations
lesson7 Elementary Matrices
lesson8 Gauss Elimination, Echelon Forms
lesson9 Midterm
lesson10 Inverse matrices
lesson11 Rank
lesson12 Surjectivity, Injectivity
lesson13 Permutations
lesson14 Determinant
lesson15 Final Exam
Midterm and Final exam. Also some reports |
Text/Reference
Books,etc. |
Senkei Daisugaku Nyumon (Tokyo Tosho) Shun-ichi KImura
|
PC or AV used in
Class,etc. |
|
| (More Details) |
Texts and handouts |
| Learning techniques to be incorporated |
|
Suggestions on
Preparation and
Review |
Try to review each lecture. |
| Requirements |
|
| Grading Method |
Mostly based on the exams |
| 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. |