Syllabus
Syllabus
Wk Lec Date Topic Strang Hwk
1

2

3
4

5

6

7
8

9

10

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
01/06
01/08
01/13
01/15
01/22
01/27
01/29
02/03
02/05
02/10
02/12
02/19
02/24
02/26
03/03
03/05
03/10
03/12
Linear equations. Matrices.
Gaussian elimination.
Vector spaces and subspaces.
Linear independence. Bases. Dimension.
Linear maps. Transpose. Four fundamental subspaces.
Inner product. Orthogonality.
Projections. Least squares. Fourier series.
Gram-Schmidt. Orthogonal matrices.
Determinant.
Eigenvalue problem. Characteristic polynomial.
Diagonalizability. Symmetric and normal matrices.
The Jordan canonical form. Nilpotent-semisimple decomposition.
Difference equations. Powers of matrices.
Markov processes.
ODEs and matrix exponential.
Review: Linear maps, spaces and subspaces
Positive definite matrices. Review: Orthogonality.
Singular value decomposition. Review: Eigenvalue problem
S1.2,S1.4,S1.6
S1.3,S1.5
S2.1-2
S2.3
S2.4, S2.6
S3.1-2
S3.3
S3.4
S4.1-4.4
S5.1
S5.2
SapB
S5.3
S5.3
S5.4

S6.1-3
SapA

#1

#2
#3

#4

#5

#6
#7

#8

#9