日本語 English
| 開講年度/ Academic YearAcademic Year |
20232023 |
| 科目設置学部/ CollegeCollege |
理学部/College of ScienceCollege of Science |
| 科目コード等/ Course CodeCourse Code |
自動登録/automatic registrationautomatic registration |
| テーマ・サブタイトル等/ Theme・SubtitleTheme・Subtitle |
|
| 授業形態/ Class FormatClass Format |
対面（全回対面）/Face to face (all classes are face-to-face)Face to face (all classes are face-to-face) |
| 授業形態（補足事項）/ Class Format (Supplementary Items)Class Format (Supplementary Items) |
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| 授業形式/ Class StyleCampus |
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| 校地/ CampusCampus |
池袋/IkebukuroIkebukuro |
| 学期/ SemesterSemester |
秋学期/Fall semesterFall semester |
| 曜日時限・教室/ DayPeriod・RoomDayPeriod・Room |
金2･4342/Fri.2･4342 Fri.2･4342 |
| 単位/ CreditCredit |
22 |
| 科目ナンバリング/ Course NumberCourse Number |
MAT1100 |
| 使用言語/ LanguageLanguage |
日本語/JapaneseJapanese |
| 履修登録方法/ Class Registration MethodClass Registration Method |
自動登録/Automatic RegistrationAutomatic Registration |
| 配当年次/ Grade (Year) RequiredGrade (Year) Required |
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。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。 |
| 先修規定/ prerequisite regulationsprerequisite regulations |
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| 他学部履修可否/ Acceptance of Other CollegesAcceptance of Other Colleges |
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| 履修中止可否/ course cancellationcourse cancellation |
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| オンライン授業60単位制限対象科目/ Online Classes Subject to 60-Credit Upper LimitOnline Classes Subject to 60-Credit Upper Limit |
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| 学位授与方針との関連/ Relationship with Degree PolicyRelationship with Degree Policy |
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| 備考/ NotesNotes |
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| テキスト用コード/ Text CodeText Code |
CA003 |
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.
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".
※Please refer to Japanese Page for details including evaluations, textbooks and others.
線形代数の初歩を習得する。具体的には行列の加法・乗法や行列式の計算を正確に行えるようになる。また連立1次方程式の解法など, 行列を用いた計算の応用を理解する。更に, 行列の階数, 線形写像などの抽象的な概念にもなじむ。
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.
線形代数は数学や物理学において欠かすことのできない道具として縦横に用いられる。「線形代数学入門」では主に2行2列の行列について学んだが, この「線形代数学1」と2年春学期の「線形代数学2」で一般の行列について学ぶ。
「線形代数学1」では数ベクトルや行列に関する基本的な計算法を習得することから始め, 正方行列の行列式や逆行列といった基本的な対象の計算法を学ぶ。また, 行列を用いた連立1次方程式の解法や, 線形写像など, 行列の概念の応用にも触れる。これらの応用は, 「線形代数学2」で学ぶ, より抽象的な議論への準備ともなる。
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".
| 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) |
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
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。
| 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 | ||
なし/None