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.

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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
Homeworks25%
Quiz20%
Midterm 25%
Final30%

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
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