日本語

Course Code etc
Academic Year 2023
College College of Science
Course Code automatic registration
Theme・Subtitle
Class Format Face to face (all classes are face-to-face)
Class Format (Supplementary Items)
Campus
Campus Ikebukuro
Semester Fall semester
DayPeriod・Room Fri.2
ログインして教室を表示する(Log in to view the classrooms.)
Credits 2
Course Number MAT1100
Language Japanese
Class Registration Method Automatic Registration
Assigned Year 配当年次は開講学部のR Guideに掲載している科目表で確認してください。
Prerequisite Regulations
Acceptance of Other Colleges
Course Cancellation
Online Classes Subject to 60-Credit Upper Limit
Relationship with Degree Policy
Notes

【Course Objectives】

Students will learn the basics of linear algebra. Specifically, students should be able to accurately perform matrix addition, multiplication, and determinant calculations. In addition, students should understand applications of calculations using matrices, such as solving a system of linear equations. Finally, students will become familiar with abstract concepts such as the rank of matrices and linear mappings.

【Course Contents】

Linear algebra is an indispensable tool in mathematics and physics. In "Introduction to Linear Algebra", we mainly studied matrices with two rows and two columns, and in this "Linear Algebra 1" and "Linear Algebra 2" in the spring semester of the second year, we will study general matrices.
In "Linear Algebra 1", we start with learning the basics of vectors and matrices, and learn how to compute fundamental objects such as determinants of square matrices and inverse matrices. The course also touches on applications of matrix calculations, such as solving linear equations and linear mapping. These applications will prepare us for more abstract discussions in "Linear Algebra 2".

Japanese Items

【授業計画 / Course Schedule】

1 数ベクトルと行列(1): 定義と算法
2 数ベクトルと行列(2): 平面と空間の1次変換
3 正方行列, 正則行列と逆行列
4 連立1次方程式と掃き出し法
5 階段行列と行列の階数
6 連立1次方程式の一般解と行列の階数
7 行列式(1): 置換
8 行列式(2): 行列式の定義と性質
9 行列式(3): 行列式の定義と性質(続き)
10 行列式の余因子展開(1): 余因子
11 行列式の余因子展開(2): クラメールの公式
12 ベクトル積と3次行列の行列式
13 数ベクトル空間と線形写像(1)
14 数ベクトル空間と線形写像(2)

【活用される授業方法 / Teaching Methods Used】

板書 /Writing on the Board
スライド(パワーポイント等)の使用 /Slides (PowerPoint, etc.)
上記以外の視聴覚教材の使用 /Audiovisual Materials Other than Those Listed Above
個人発表 /Individual Presentations
グループ発表 /Group Presentations
ディスカッション・ディベート /Discussion/Debate
実技・実習・実験 /Practicum/Experiments/Practical Training
学内の教室外施設の利用 /Use of On-Campus Facilities Outside the Classroom
校外実習・フィールドワーク /Field Work
上記いずれも用いない予定 /None of the above

【授業時間外(予習・復習等)の学修 / Study Required Outside of Class】

春学期の「線形代数学入門」の内容をしっかり身に付けておくこと。

【成績評価方法・基準 / Evaluation】

種類 (Kind)割合 (%)基準 (Criteria)
筆記試験 (Written Exam) 50
平常点 (In-class Points)50 授業内提出物(20%)
小テスト(15% x 2)(30%)
備考 (Notes)
「線形代数学1演習」と一体で評価する

【テキスト / Textbooks】

なし/None

【参考文献 / Readings】

【履修にあたって求められる能力 / Abilities Required to Take the Course】

【学生が準備すべき機器等 / Equipment, etc., that Students Should Prepare】

【その他 / Others】

【注意事項 / Notice】