Homework (10%):
 The deadline is 4:30 pm of the due date.
You put your homework in Stephen's mailbox directly. His mailbox is located inside the Math Main Office.
The Math Main Office is closed at 5pm.

You have all together five oneday submission extensions.
For example, you may submit Homework 2 three days after the due date and Homework 3 two days after the duedate.
After that no late homework will be accepted.
Use them smartly. In particular, use them if you have big projects due.
If you use the submission extension, you should let TA know about it explicily.
If there are some very rare cases that you truly need more extensions email me before the deadline.
Starting from Homework 3, two of the homework problems will be graded. 50% for the correctness of the two problems, 50% for the completeness.
 Homework 1 (due on 1/25)
1.1: 16;
1.2: 13;
1.3: 7;
2.1: 3;
2.2: 12;
2.3: 1, 13, 25;
2.4: 26, 32;
2.5: 3, 7, 27;
2.6: 1, 5.
 Homework 2 (due on 2/1)
3.1: 23;
3.2: 13, 32;
3.3: 1, 4, 25;
3.4: 2, 11, 16, 20, 26, 32.
 Homework 3 (due on 2/15)
3.5: 2, 5, 24;
4.1: 4, 13, 16, 26;
4.2: 1, 3, 19, 20;
4.3: 1, 4, 12, 21.
 Homework 4 (due on 2/19)
4.4: 1, 3, 18, 21.
 Homework 5 (due on 3/1)
5.1: 1, 8, 11, 18, 29 (Also answer what det P should be), 30;
5.2: 5, 13, 15;
5.3: 18, 23.
 Homework 6 (due on 3/20)
6.1: 6, 16, 21, 33;
6.2: 15 (Compute the diagonalization first), 16, 19, 22, 30, 31;
6.4: 3, 7, 16;
6.5: 4, 12, 16, 36.
 Homework 7 (due on 3/29)
7.1: 3;
7.2: 2, 3, 4, 10, 26;
7.3: 1, 3, 4, 5.
 Homework 8 (due on 4/5)
8.1: 2, 13, 14, 16;
8.2: 10, 11, 15, 24, 16;
8.3: 4, 6, 7.
 Homework 9 (due on 4/12)
9.1: 2, 6, 9, 10, 15;
9.2: 1, 3, 5, 14, 16;
9.3: 7.
 Homework 10 (due on 4/19)
10.1: Review the last two problems of the midterm exam (no submission), 8, 9, 10;
10.3: 1, 2, 9, 11.

Schedule:
Date

Topic

Remark

Notes

1/11

1.1  1.2


Linear Combinations, the Dot Product

1/15


Martin Luther King, Jr. Day


1/16

1.3  2.1


Matrix times a Column Vector

1/18

2.2  2.4


From Row Operations to Matrix Multiplications

1/23

2.5  2.7


Inverse Matrices, LU Decomposition, Symmetric Matrices

1/25

3.1  3.2

Homework 1 due

Vector Spaces and Subspaces, Rank

1/29


Course Selection Period ends


1/30

3.3  3.4


Independence, Dimension and Basis

2/1

3.5  4.1

Homework 2 due

Four subspaces, Orthogonal Projections

2/6

Recitation



2/8

School closed



2/13

4.2  4.3


Orthogonal Projection and Linear Regression

2/15

4.3  4.4

Homework 3 due

Linear Regression, GramSchmidt

2/16


Drop Period ends


2/19


Homework 4 due


2/20

5.1  5.2


Determinants

2/22

Midterm Exam



2/27

5.2  5.3


Cofactor Formula

3/1

6.1  6.2

Homework 5 due

Cramer's Rule, Eigenvectors, Diagonalization

3/3  3/11


Spring Break


3/13

6.2, 6.4


Diagonalization, Symmetric matrices

3/15

6.5, inner product

Problem 1, 2, 13, 16, 17 due

Positive Definite Matrices, Inner Product

3/20

7.1  7.2

Homework 6 due

Singular Value Decomposition

3/22

7.3  7.4


Principal Component Analysis

3/27

8.1  8.2


Linear Transformation, Change of Bases Formula

3/29

8.2  8.3

Homework 7 due

Good Bases for Linear Transformations

3/30


Last day to withdraw


4/3

9.1  9.2


Complex Numbers, Hermitian and Unitary Matrices

4/5

9.3

Homework 8 due

Fast Fourier Transform

4/10

10.1


Graphs

4/12

10.2  10.3

Homework 9 due

Difference Equations, Markov Matrices

4/13


Problem 3, 4, 5, 14, 15 due


4/17

10.3


Simulation, Markov Chains

4/19

10.7, Review

Homework 10 due

Hill Cipher, review

4/24

Final Exam



4/25


Problem 6, 7, 8, 9, 10, 11, 12 due


