週次 |
日期 |
單元主題 |
第7週 |
4/4, 4/5 |
清明節、溫書假 |
第18週 |
6/20 |
Final exam (4.4, 4.5, 5.1, 5.2, 5.3, 6.1~6.6, 7.1~7.5) |
第1-1週 |
2/22 |
Introduction <BR>
(1.1) Matrices and Vectors <BR>
(1.2) Linear Combinations, Matrix-Vector Product |
第1-2週 |
2/23 |
(1.3) Systems of Linear Equations<BR>
|
第2-1週 |
2/29 |
(1.4) Gaussian Elimination<BR>
(1.6) Span of Vectors |
第2-2週 |
3/1 |
(1.6) Span of a set of vectors <BR>
(1.7) Linear Independence |
第3-1週 |
3/7 |
(1.7) Linear Independence <BR>
(2.1) Matrix Multiplication<BR>
|
第3-2週 |
3/8 |
(2.3) Elementary Matrices <BR>
|
第4-1週 |
3/14 |
(2.3) Elementary Matrices <BR>
(2.4) Invertible Matrices |
第4-2週 |
3/15 |
(2.7) Linear Transformation<BR> |
第5-1週 |
3/21 |
(2.7) Linear Transformations<BR>
(2.8) Invertibility of Linear Transformations <BR> |
第5-2週 |
3/22 |
Quiz #1: (1.1, 1.2, 1.3, 1.4, 1.6, 1.7, 2.1, 2.3, 2.4, 2.7, 2.8) |
第6-1週 |
3/28 |
Chapter 3 Determinants |
第6-2週 |
3/29 |
Chapter 3 Determinants <BR>
Chapter 4 Subspaces and their properties |
第8-1週 |
4/11 |
(4.2) Basis and Dimension<BR>
(4.3) Subspaces associated with a matrix<BR> |
第8-2週 |
4/13 (五) |
原訂4/12(四)上課,改為4/13(五)下午第9節(17:30~18:20)<BR>
(4.3) Dimension of Subspaces associated with a matrix<BR>
(4.4) Coordinate Systems |
第9-1週 |
4/18 |
Midterm |
第9-2週 |
4/19 |
(4.4) Coordinate Systems<BR>
(4.5) Matrix Representation of Linear Transformations |
第10-1週 |
4/25 |
(4.5) Matrix Representation<BR>
(5.1) Eigenvectors and Eigenvalues<BR>
(5.2) Characteristic Polynomials |
第10-2週 |
4/26 |
(5.2) Characteristic Polynomials <BR> |
第11-1週 |
5/2 |
(5.3) Diagonalization |
第11-2週 |
5/3 |
(5.3) Diagonalization <BR>
(5.5) Applications for diagonalization. |
第12-1週 |
5/9 |
(6.1) Geometry of Vectors<BR>
(6.2) Orthogonal Set |
第12-2週 |
5/10 |
(6.2) Orthogonal sets <BR>
(6.3) Orthogonal projection |
第13-1週 |
5/16 |
(6.3) Orthogonal Projections |
第13-2週 |
5/17 |
(6.4) Least Square Approximation |
第14-1週 |
5/23 |
(6.5) Orthogonal Matrices |
第14-2週 |
5/24 |
Quiz #2: Sec. 4.4, 4.5, 5.1, 5.2, 5.3, 6.1, 6.2, 6.3, 6.4. |
第15-1週 |
5/30 |
(6.6) Symmetric Matrices; <BR>
(7.1) Vector spaces: definition |
第15-2週 |
5/31 |
(7.1) Vector spaces and their subspaces <BR> |
第16-1週 |
6/6 |
(7.1) Vector spaces: linear combinations and spans <BR>
(7.2) Linear Transformations <BR>
(7.3) Basis and Dimension <BR> |
第16-2週 |
6/6 (下午) |
(7.3) Basis and Dimension <BR>
(7.4) Matrix Representation of Linear Operators |
第16-3週 |
6/7 |
(7.4) Matrix Representation of Linear Operators |
第17-0週 |
6/13 |
原訂上午的課程因故無法上課。兩個小時的課程分成兩次補課,分別為6/6(三)第9節,以及6/13(三)第9節(皆為5:30~6:20pm)補課。 |
第17-1週 |
6/13 (下午) |
(7.4) Matrix Representation of Linear Operators
(7.5) Inner Product Spaces |
第17-2週 |
6/14 |
(7.5) Inner Product Spaces |