Linear Algebra (English) - 105 Academic Year
線性代數 (English) - 105學年度
本課程是由 國立陽明交通大學電機工程學系 提供。
This is a flip classroom. In-class homeworks are given on a weekly basis. The students are to study before coming to the class. In the class, the students are asked to do the homeworks in groups, and present their own solutions.
(This course is taught in English.)
課程用書：Elementary Linear Algebra, 2nd edition by Spence, Insel, and Friedberg, 2008, Pearson Education.
為求學習成效完美，請購買課本！
| 授課教師 | 電機工程學系 林源倍老師 |
|---|---|
| 課程學分 | 3學分 |
| 授課年度 | 105學年度 |
| 授課對象 | 大學生 |
| 預備知識 | |
| 課程提供 | 課程影音 課程綱要 課程行事曆 |
| 週次 | 課程內容 | 課程影音 | 課程下載 |
|---|---|---|---|
| CH1#1 Matrices and Vectors | 線上觀看 | MP4下載 | |
| CH1#2 Linear Combination, matrix-vector product, and special matrices | 線上觀看 | MP4下載 | |
| CH1#3-1 System of linear equation PartI | 線上觀看 | MP4下載 | |
| CH1#3-2 System of linear equation PartII | 線上觀看 | MP4下載 | |
| CH1#4-1 Gaussion elimination Part I (a procedure for computing rref) | 線上觀看 | MP4下載 | |
| CH1#4-2 Gaussion elimination Part II (a procedure for computing rref) | 線上觀看 | MP4下載 | |
| CH1#6-1 Span Part I | 線上觀看 | MP4下載 | |
| CH1#6-2 Span Part II | 線上觀看 | MP4下載 | |
| CH1#7-1 Linearly independent sets and Linearly dependent sets Part I | 線上觀看 | MP4下載 | |
| CH1#7-2 Linearly independent sets and Linearly dependent sets Part II | 線上觀看 | MP4下載 | |
| Ch2 Matrices & linear transformation CH2#1 matrix multiplication | 線上觀看 | MP4下載 | |
| CH2#3 Invertible matrices and Elementary matrices | 線上觀看 | MP4下載 | |
| CH2#3 Invertible matrices and Elementary matrices CH2#4 Inverses Part I | 線上觀看 | MP4下載 | |
| CH2#3 Invertible matrices and Elementary matrices CH2#4 Inverses Part II | 線上觀看 | MP4下載 | |
| CH2#7-1 Linearly transformation and matrices Part I | 線上觀看 | MP4下載 | |
| CH2#7-2 Linearly transformation and matrices Part II | 線上觀看 | MP4下載 | |
| CH2#8-1 Composition and invertibility of linear tr Part I | 線上觀看 | MP4下載 | |
| CH2#8-2 Composition and invertibility of linear tr Part II | 線上觀看 | MP4下載 | |
| CH3 Determinants CH3#1Cofactor expansion | 線上觀看 | MP4下載 | |
| CH3#2-1 Properties of determinants Part I | 線上觀看 | MP4下載 | |
| CH3#2-2 Properties of determinants Part II | 線上觀看 | MP4下載 | |
| CH4 Subspaces and Properties | 線上觀看 | MP4下載 | |
| CH4#2-1 Basis and dimension Part I | 線上觀看 | MP4下載 | |
| CH4#2-2 Basis and dimension Part II | 線上觀看 | MP4下載 | |
| CH4#2-3 Basis and dimension Part III | 線上觀看 | MP4下載 | |
| CH4#3 Dimension of ColA, RowA, NullA | 線上觀看 | MP4下載 | |
| CH4#4-1 Coordinate systems Part I | 線上觀看 | MP4下載 | |
| CH4#4-2 Coordinate systems Part II | 線上觀看 | MP4下載 | |
| CH4#5 Matrix representation of linear operator | 線上觀看 | MP4下載 | |
| CH5 Eigen values, eigen vectors and diagonalization | 線上觀看 | MP4下載 | |
| CH5#2-1 Characteristic Polynomials Part I | 線上觀看 | MP4下載 | |
| CH5#2-2 Characteristic Polynomials Part II | 線上觀看 | MP4下載 | |
| CH5#3 Diagonalization of matrices | 線上觀看 | MP4下載 | |
| CH6 Orthogonality CH6#1-1 Geometry of vectors Part I | 線上觀看 | MP4下載 | |
| CH6#1-2 Geometry of vectors Part II | 線上觀看 | MP4下載 | |
| CH6#2-1 Orthogonal Vectors (orch) Part I | 線上觀看 | MP4下載 | |
| CH6#2-2 Orthogonal Vectors (orch) Part II | 線上觀看 | MP4下載 | |
| CH6#3-1 Orth. Projection Part I | 線上觀看 | MP4下載 | |
| CH6#3-2 Orth. Projection Part II | 線上觀看 | MP4下載 | |
| CH6#4-1 Least-squares approximation and o.p. matrices Part I | 線上觀看 | MP4下載 | |
| CH6#4-2 Least-squares approximation and o.p. matrices Part II | 線上觀看 | MP4下載 | |
| CH6#5-1 Orth. matrices Part I | 線上觀看 | MP4下載 | |
| CH6#5-2 Orth. matrices Part II | 線上觀看 | MP4下載 | |
| CH6#6-1 Symmetric matrices Part I | 線上觀看 | MP4下載 | |
| CH6#6-2 Symmetric matrices Part II | 線上觀看 | MP4下載 | |
| CH6#7-0 Singular value decomposition (SVD) short story | 線上觀看 | MP4下載 | |
| CH6#7-1 Singular value decomposition Part I | 線上觀看 | MP4下載 | |
| CH6#7-2 Singular value decomposition Part II | 線上觀看 | MP4下載 | |
| Ch6#6-8 Principal component analysis Part I | 線上觀看 | MP4下載 | |
| Ch6#6-8 Principal component analysis Part II | 線上觀看 | MP4下載 | |
| CH7 Vector spaces CH 7#1-1 Vector spaces and their subspace Part I | 線上觀看 | MP4下載 | |
| CH 7#1-2 Vector spaces and their subspace Part II | 線上觀看 | MP4下載 | |
| CH 7#2 Linear transformations | 線上觀看 | MP4下載 | |
| CH 7#3-1 Basis and Dimensions Part I | 線上觀看 | MP4下載 | |
| CH 7#3-2 Basis and Dimensions Part II | 線上觀看 | MP4下載 | |
| CH 7#4-1 Matrix representation of linear operator Part I | 線上觀看 | MP4下載 | |
| CH 7#4-2 Matrix representation of linear operator Part II | 線上觀看 | MP4下載 | |
| CH 7#5-1 Inner product space Part I | 線上觀看 | MP4下載 | |
| CH 7#5-2 Inner product space Part II | 線上觀看 | MP4下載 |
課程目標
This is a flip classroom. In-class homeworks are given on a weekly basis.
The students are to study before coming to the class. In the class, the students are asked to do the homeworks in groups, and present their own solutions.
課程章節
| 章節內容 |
| Matrices and Vectors |
| Linear Transformations |
| Determinants |
| Subspaces |
| Eigenvalues and Eigenvectors |
| Orthogonality |
| Vector Spaces |
課程書目
Elementary Linear Algebra, 2nd edition by Spence, Insel, and Friedberg, 2008, Pearson Education.
評分標準
| 項目 | 百分比 |
| Homeworks | 25% |
| Quiz | 20% |
| Midterm | 25% |
| Final | 30% |
本課程行事曆提供課程進度與考試資訊參考。
| 章節內容 |
| Matrices and Vectors |
| Linear Transformations |
| Determinants |
| Subspaces |
| Eigenvalues and Eigenvectors |
| Orthogonality |
| Vector Spaces |
課程專區
選單