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 |
|---|---|---|
| CH1#1 Matrices and Vectors | Watch Online | |
| CH1#2 Linear Combination, matrix-vector product, and special matrices | Watch Online | |
| CH1#3-1 System of linear equation PartI | Watch Online | |
| CH1#3-2 System of linear equation PartII | Watch Online | |
| CH1#4-1 Gaussion elimination Part I (a procedure for computing rref) | Watch Online | |
| CH1#4-2 Gaussion elimination Part II (a procedure for computing rref) | Watch Online | |
| CH1#6-1 Span Part I | Watch Online | |
| CH1#6-2 Span Part II | Watch Online | |
| CH1#7-1 Linearly independent sets and Linearly dependent sets Part I | Watch Online | |
| CH1#7-2 Linearly independent sets and Linearly dependent sets Part II | Watch Online | |
| Ch2 Matrices & linear transformation CH2#1 matrix multiplication | Watch Online | |
| CH2#3 Invertible matrices and Elementary matrices | Watch Online | |
| CH2#3 Invertible matrices and Elementary matrices CH2#4 Inverses Part I | Watch Online | |
| CH2#3 Invertible matrices and Elementary matrices CH2#4 Inverses Part II | Watch Online | |
| CH2#7-1 Linearly transformation and matrices Part I | Watch Online | |
| CH2#7-2 Linearly transformation and matrices Part II | Watch Online | |
| CH2#8-1 Composition and invertibility of linear tr Part I | Watch Online | |
| CH2#8-2 Composition and invertibility of linear tr Part II | Watch Online | |
| CH3 Determinants CH3#1Cofactor expansion | Watch Online | |
| CH3#2-1 Properties of determinants Part I | Watch Online | |
| CH3#2-2 Properties of determinants Part II | Watch Online | |
| CH4 Subspaces and Properties | Watch Online | |
| CH4#2-1 Basis and dimension Part I | Watch Online | |
| CH4#2-2 Basis and dimension Part II | Watch Online | |
| CH4#2-3 Basis and dimension Part III | Watch Online | |
| CH4#3 Dimension of ColA, RowA, NullA | Watch Online | |
| CH4#4-1 Coordinate systems Part I | Watch Online | |
| CH4#4-2 Coordinate systems Part II | Watch Online | |
| CH4#5 Matrix representation of linear operator | Watch Online | |
| CH5 Eigen values, eigen vectors and diagonalization | Watch Online | |
| CH5#2-1 Characteristic Polynomials Part I | Watch Online | |
| CH5#2-2 Characteristic Polynomials Part II | Watch Online | |
| CH5#3 Diagonalization of matrices | Watch Online | |
| CH6 Orthogonality CH6#1-1 Geometry of vectors Part I | Watch Online | |
| CH6#1-2 Geometry of vectors Part II | Watch Online | |
| CH6#2-1 Orthogonal Vectors (orch) Part I | Watch Online | |
| CH6#2-2 Orthogonal Vectors (orch) Part II | Watch Online | |
| CH6#3-1 Orth. Projection Part I | Watch Online | |
| CH6#3-2 Orth. Projection Part II | Watch Online | |
| CH6#4-1 Least-squares approximation and o.p. matrices Part I | Watch Online | |
| CH6#4-2 Least-squares approximation and o.p. matrices Part II | Watch Online | |
| CH6#5-1 Orth. matrices Part I | Watch Online | |
| CH6#5-2 Orth. matrices Part II | Watch Online | |
| CH6#6-1 Symmetric matrices Part I | Watch Online | |
| CH6#6-2 Symmetric matrices Part II | Watch Online | |
| CH6#7-0 Singular value decomposition (SVD) short story | Watch Online | |
| CH6#7-1 Singular value decomposition Part I | Watch Online | |
| CH6#7-2 Singular value decomposition Part II | Watch Online | |
| Ch6#6-8 Principal component analysis Part I | Watch Online | |
| Ch6#6-8 Principal component analysis Part II | Watch Online | |
| CH7 Vector spaces CH 7#1-1 Vector spaces and their subspace Part I | Watch Online | |
| CH 7#1-2 Vector spaces and their subspace Part II | Watch Online | |
| CH 7#2 Linear transformations | Watch Online | |
| CH 7#3-1 Basis and Dimensions Part I | Watch Online | |
| CH 7#3-2 Basis and Dimensions Part II | Watch Online | |
| CH 7#4-1 Matrix representation of linear operator Part I | Watch Online | |
| CH 7#4-2 Matrix representation of linear operator Part II | Watch Online | |
| CH 7#5-1 Inner product space Part I | Watch Online | |
| CH 7#5-2 Inner product space Part II | Watch Online |
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
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