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授業概要
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This course is intended as an introduction to linear algebra. We will cover most of Chapters 1-4 of the textbook.
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This course is intended as an introduction to linear algebra. We will cover most of Chapters 1-4 of the textbook.
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キーワード
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vectors, linear equations, vector spaces, subspaces, orthogonality
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授業形態
（項目）
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授業形態
（内容）
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使用する教材等
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履修条件等
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履修に必要な知識・能力
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到達目標
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No
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観点
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詳細
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1.
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Knowledge, Understanding
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授業計画
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No
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進度・内容・行動目標
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講義
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演習・その他
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授業時間外学習
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1.
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1.1 Vectors and Linear Combinations
1.2 Lengths and Dot Products
1.3 Matrices
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2.
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2.1 Vectors and Linear Equations
2.2 The Idea of Elimination
2.3 Elimination Using Matrices
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3.
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2.4 Rules for Matrix Operations
2.5 Inverse Matrices
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4.
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2.6 Elimination = Factorization: A = LU
2.7 Transposes and Permutations
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5.
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Exercises
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6.
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Midterm Examination
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7.
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3.1 Spaces of Vectors
3.2 The Nullspace of A: Solving Ax = 0 and Rx = 0
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8.
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3.3 The Complete Solution to Ax = b
3.4 Independence, Basis and Dimension
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9.
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3.5 Dimensions of the Four Subspaces
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10.
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Exercises
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11.
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4.1 Orthogonality of the Four Subspaces
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12.
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4.2 Projections
4.3 Least Squares Approximations
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13.
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4.4 Orthonormal Bases and Gram-Schmidt
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14.
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Exercises
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15.
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Final Examination
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授業以外での学習にあたって
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テキスト
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参考書
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授業資料
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成績評価
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評価方法・観点
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観点No.1
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観点No.2
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観点No.3
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観点No.4
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観点No.5
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観点No.6
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観点No.7
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観点No.8
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備考（欠格条件・割合）
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◎
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◯
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成績評価基準に関わる補足事項
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ルーブリック
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Point of view : Level
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A(4)
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B(3)
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C(2)
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D(1)
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F(0)
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A：Knowledge・Understanding
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Mastery of the course material
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B：Understanding
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Good understanding of the course material
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C：General-purpose skill
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Satisfactory understanding of the course material
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D：The attitude and the intentionalness
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Poor understanding of the course material
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F
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Almost no understanding of the course material
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学習相談
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添付ファイル
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授業担当者の実務経験有無
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授業担当者の実務経験内容
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その他
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更新日付
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2018-04-07 15:25:52.481
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