|
週次 |
日期 |
單元主題 |
|
第1週 |
9/19 |
Introduction<BR>
(1.1) Matrices and vectors
(1.2) Linear Combinations and Matrix-Vector Products |
|
第2週 |
9/26 |
(1.3) Systems of Linear Equations
(1.4) Gaussian Eliminations |
|
第3週 |
10/03 |
(1.6) Span of Vectors
(1.7) Linear Independence |
|
第4週 |
10/10 |
holiday |
|
第5週 |
10/17 |
(2.1) Matrix Multiplication
(2.3) Elementary Matrices
(2.4) The Inverse of a Matrix |
|
第6週 |
10/24 |
(2.7) Linear Transformations and Matrices
|
|
第7週 |
10/31 |
(2.8) Composition and Invertibility of Linear Transformations <BR>
(3.1) Cofactor Expansion<BR> (3.2) Properties of Determinants
|
|
第8週 |
11/07 |
期中考 |
|
第9週 |
11/14 |
(4.1) Subspaces <BR>
|
|
第10週 |
11/21 |
(4.2) Basis and Dimension <BR>(4.3) The Dimension of Subspaces associated with a Matrix <BR>
(4.4) Coordinate Systems <BR>
|
|
第11週 |
11/28 |
(4.5) Matrix Representation of Linear Operators<BR>(5.1) Eigenvalues and eigenvectors<BR>
(5.2) Characteristic polynomials<BR>
|
|
第12週 |
12/05 |
(5.3) Diagonalization of matrices.<BR>(6.1) The Geometry of Vectors
(6.2) Orthogonal Vectors<BR>
|
|
第13週 |
12/12 |
(6.3) Orthogonal complement and orthogonal decomposition (The part of orthogonal projections) <BR>(6.3) Orthogonal projection (the remaining part)<BR>
(6.4) Least square approximations<BR>
(6.5) Orthogonal Matrices <BR> |
|
第14週 |
12/19 |
(6.6) Symmetric Matrices<BR>
|
|
第15週 |
12/26 |
(7.1) Vector Spaces<BR>(7.2) Linear Transformation<BR>
|
|
第16週 |
1/02 |
停課； 進度併入次週(1/9) |
|
第17週 |
1/09 |
(7.3) Basis and Dimension
<BR>(7.4) Matrix Representation of Linear Operators<BR>
(7.5) Inner Product Spaces |
|
第18週 |
1/16 |
期末考 |