Linear Algebra (English) - 105 Academic Year
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.)
Textbook：Elementary Linear Algebra, 2nd edition by Spence, Insel, and Friedberg, 2008, Pearson Education.
For perfect learning results, please buy textbooks!
| Instructor(s) | College of Electrical and Computer Engineering Prof. Yuan-Pei Lin |
|---|---|
| Course Credits | 3 Credits |
| Academic Year | 105 Academic Year |
| Level | College Students |
| Prior Knowledge | |
| Related Resources | Course Video Course Syllabus Course Calendar |
| Week | Course Content | Course Video | Course Download |
|---|---|---|---|
| CH1#1 Matrices and Vectors | Watch Online | MP4 Download | |
| CH1#2 Linear Combination, matrix-vector product, and special matrices | Watch Online | MP4 Download | |
| CH1#3-1 System of linear equation PartI | Watch Online | MP4 Download | |
| CH1#3-2 System of linear equation PartII | Watch Online | MP4 Download | |
| CH1#4-1 Gaussion elimination Part I (a procedure for computing rref) | Watch Online | MP4 Download | |
| CH1#4-2 Gaussion elimination Part II (a procedure for computing rref) | Watch Online | MP4 Download | |
| CH1#6-1 Span Part I | Watch Online | MP4 Download | |
| CH1#6-2 Span Part II | Watch Online | MP4 Download | |
| CH1#7-1 Linearly independent sets and Linearly dependent sets Part I | Watch Online | MP4 Download | |
| CH1#7-2 Linearly independent sets and Linearly dependent sets Part II | Watch Online | MP4 Download | |
| Ch2 Matrices & linear transformation CH2#1 matrix multiplication | Watch Online | MP4 Download | |
| CH2#3 Invertible matrices and Elementary matrices | Watch Online | MP4 Download | |
| CH2#3 Invertible matrices and Elementary matrices CH2#4 Inverses Part I | Watch Online | MP4 Download | |
| CH2#3 Invertible matrices and Elementary matrices CH2#4 Inverses Part II | Watch Online | MP4 Download | |
| CH2#7-1 Linearly transformation and matrices Part I | Watch Online | MP4 Download | |
| CH2#7-2 Linearly transformation and matrices Part II | Watch Online | MP4 Download | |
| CH2#8-1 Composition and invertibility of linear tr Part I | Watch Online | MP4 Download | |
| CH2#8-2 Composition and invertibility of linear tr Part II | Watch Online | MP4 Download | |
| CH3 Determinants CH3#1Cofactor expansion | Watch Online | MP4 Download | |
| CH3#2-1 Properties of determinants Part I | Watch Online | MP4 Download | |
| CH3#2-2 Properties of determinants Part II | Watch Online | MP4 Download | |
| CH4 Subspaces and Properties | Watch Online | MP4 Download | |
| CH4#2-1 Basis and dimension Part I | Watch Online | MP4 Download | |
| CH4#2-2 Basis and dimension Part II | Watch Online | MP4 Download | |
| CH4#2-3 Basis and dimension Part III | Watch Online | MP4 Download | |
| CH4#3 Dimension of ColA, RowA, NullA | Watch Online | MP4 Download | |
| CH4#4-1 Coordinate systems Part I | Watch Online | MP4 Download | |
| CH4#4-2 Coordinate systems Part II | Watch Online | MP4 Download | |
| CH4#5 Matrix representation of linear operator | Watch Online | MP4 Download | |
| CH5 Eigen values, eigen vectors and diagonalization | Watch Online | MP4 Download | |
| CH5#2-1 Characteristic Polynomials Part I | Watch Online | MP4 Download | |
| CH5#2-2 Characteristic Polynomials Part II | Watch Online | MP4 Download | |
| CH5#3 Diagonalization of matrices | Watch Online | MP4 Download | |
| CH6 Orthogonality CH6#1-1 Geometry of vectors Part I | Watch Online | MP4 Download | |
| CH6#1-2 Geometry of vectors Part II | Watch Online | MP4 Download | |
| CH6#2-1 Orthogonal Vectors (orch) Part I | Watch Online | MP4 Download | |
| CH6#2-2 Orthogonal Vectors (orch) Part II | Watch Online | MP4 Download | |
| CH6#3-1 Orth. Projection Part I | Watch Online | MP4 Download | |
| CH6#3-2 Orth. Projection Part II | Watch Online | MP4 Download | |
| CH6#4-1 Least-squares approximation and o.p. matrices Part I | Watch Online | MP4 Download | |
| CH6#4-2 Least-squares approximation and o.p. matrices Part II | Watch Online | MP4 Download | |
| CH6#5-1 Orth. matrices Part I | Watch Online | MP4 Download | |
| CH6#5-2 Orth. matrices Part II | Watch Online | MP4 Download | |
| CH6#6-1 Symmetric matrices Part I | Watch Online | MP4 Download | |
| CH6#6-2 Symmetric matrices Part II | Watch Online | MP4 Download | |
| CH6#7-0 Singular value decomposition (SVD) short story | Watch Online | MP4 Download | |
| CH6#7-1 Singular value decomposition Part I | Watch Online | MP4 Download | |
| CH6#7-2 Singular value decomposition Part II | Watch Online | MP4 Download | |
| Ch6#6-8 Principal component analysis Part I | Watch Online | MP4 Download | |
| Ch6#6-8 Principal component analysis Part II | Watch Online | MP4 Download | |
| CH7 Vector spaces CH 7#1-1 Vector spaces and their subspace Part I | Watch Online | MP4 Download | |
| CH 7#1-2 Vector spaces and their subspace Part II | Watch Online | MP4 Download | |
| CH 7#2 Linear transformations | Watch Online | MP4 Download | |
| CH 7#3-1 Basis and Dimensions Part I | Watch Online | MP4 Download | |
| CH 7#3-2 Basis and Dimensions Part II | Watch Online | MP4 Download | |
| CH 7#4-1 Matrix representation of linear operator Part I | Watch Online | MP4 Download | |
| CH 7#4-2 Matrix representation of linear operator Part II | Watch Online | MP4 Download | |
| CH 7#5-1 Inner product space Part I | Watch Online | MP4 Download | |
| CH 7#5-2 Inner product space Part II | Watch Online | MP4 Download |
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 |
COURSE
選單