|
週次 |
日期 |
單元主題 |
|
第1週 |
9/16 |
Introduction; (1.1) Matrices and Vectors; (1.2) Linear Combination |
|
第2週 |
9/23 |
(1.1) Matrices and Vectors <BR>
(1.2) Linear Combinations; Matrix-Vector Products; Special matrices |
|
第3週 |
9/30 |
(1.3) Systems of Linear Equations;
<BR>(1.4) Gaussian Elimination; |
|
第4週 |
10/07 |
Quiz #1;<BR> (1.6) Span of Vectors <BR>
|
|
第5週 |
10/14 |
(1.6) Span of Vectors; <BR> (1.7) Linear Independence |
|
第6週 |
10/21 |
Quiz #2; <BR> (2.1) Matrix Multiplication |
|
第7週 |
10/28 |
(2.1) Matrix Multiplication; <BR>
(2.3) Invertibility and Elementary Matrices;
(2.4) Inverses of Matrices |
|
第8週 |
11/04 |
(2.4) Inverses of Matrices
(3.1-3.2) Determinants |
|
第9週 |
11/11 |
Midterm: 1.1~1.4; 1.6, 1.7, 2.1, 2.3, 2.4, 3.1, 3.2. |
|
第10週 |
11/18 |
(4.1) Subspaces; <BR> (4.2) Basis and Dimension; <BR> |
|
第11週 |
11/25 |
(4.2) Basis and Dimension <BR>
(4.3) Subspaces associated with a matrix<BR>
(2.7-2.8) Linear Transformations |
|
第12週 |
12/02 |
(2.8) Invertibility of Linear Transformations <BR>
(4.4) Coordinate Systems<BR>
(4.5) Matrix Representation of Linear Operators<BR>
|
|
第13週 |
12/09 |
(5.1) Eigenvalues and Eigenvectors <BR>
(5.2) Characteristic Polynomials<BR>
|
|
第14週 |
12/16 |
Quiz #3; <BR>
(5.3) Diagonalization of Matrices <BR>
(6.1) Dot products of Vectors
|
|
第15週 |
12/23 |
(6.2) Orthogonal Vectors <BR>
(6.3) Orthogonal Projections <BR>
(6.4) Least-Square Approximations<BR>
|
|
第16週 |
12/30 |
(6.3) Orthogonal Projections <BR>
(6.4) Least-Square Approximations<BR> |
|
第17週 |
1/06 |
(7.1) Vector Spaces and their Subspaces<BR>
(7.2) Linear Transformations <BR>
(7.3) Basis and Dimension<BR> |
|
第18週 |
1/13 |
Final Exam: Sections 2.7~2.8; Sections 4.1~4.5, Sections 5.1~5.3; Sections 6.1~6.4, Sections 7.1~7.3. |