教學大綱 Syllabus

週

課程主題

課程內容與指定閱讀

教學活動與作業

1

4.1: Intro on Eigenvalues and eigenvectors;

4.2: determinants

4.1, 4.2

4.1, 4.2

2

4.2: Determinants

4.2

4.2

3

4.3: Eigenvalues and eigenvectors

4.3

4.3

4

4.3; 4.4: Similarity and diagonalization

複習4.1-4.4

4.4(I)

5

Exam I

段考一

6

4.4: Similarity and diagonalization

4.4(II)

4.4(II)

7

4.4: Similarity and diagonalization

4.4(III), 6.3, 6.6

4.4(III), 6.3, 6.6

8

6.3, 6.5: Change-of-basis;

4.6: Application on Markov chain

4.6

4.6

9

5.1: Orthogonality in R^n

複習4.4-5.1

5.1

10

Exam II

段考二

11

5.2: Orthogonal complements and projections

5.2

5.2

12

5.3: Gram-Schmidt process  & QR factorization;

5.4: Orthogonal diagonalization of symmetric matrices

5.3

5.3

13

5.4; 5.5: Application on Quadratic forms

5.4

5.4

14

校慶運動會

停課

15

Supplementary: application on PCA

複習:5.2-5.5

5.5

16

Final exam

期末考