Week 
Topics 
Assignments 
Jan 22  26

Systems of Linear Equations: 1.1
Row Reduction and Echelon Forms: 1.2
Vector Equations: 1.3

1.1: # 1, 3, 5, 9, 11, 15, 17, 19, 25, 31
1.2: # 1, 3, 7, 11, 15, 17, 31

Jan 29  Feb 2

Vector Equations: 1.3
The Matrix Equation Ax=b: 1.4
Solution Sets of Linear Systems: 1.5

1.3: # 3, 5, 7, 9, 11, 17, 19, 25
1.4: # 3, 5, 9, 13, 15, 17, 21, 25
1.5: # 3, 5, 9, 11, 13, 17, 19, 21, 33

Feb 5  9

Linear Independence: 1.7
Linear Transformations: 1.8
The Matrix of a Linear Transformation: 1.9

1.7: # 3, 5, 7, 9, 13, 15, 19, 27, 33
1.8: # 1, 3, 7, 9, 11, 13, 17, 19, 31
1.9: # 1, 3, 5, 7, 9, 13, 15, 17, 19, 21

Feb 12  16

Matrix Operations: 2.1
Inverse of a Matrix: 2.2
Characterization of Invertible Matrices: 2.3

2.1: # 1, 3, 5, 7, 9, 17, 25, 27
2.2: # 1, 3, 5, 7, 15, 29, 31, 33
2.3: # 1, 3, 7, 9, 11, 13, 27, 33, 35

Feb 19  23

Introduction to Determinants: 3.1
Properties of Determinants: 3.2
Exam I

3.1: # 1, 3, 5, 9, 11, 13, 15, 23, 25, 39
3.2: # 3, 5, 9, 11, 13, 15, 17, 19, 23 , 25, 31
February 23rd.

Feb 26  March 2

Vector Spaces and Subspaces: 4.1
Null Spaces, Column Spaces and Linear Transformations: 4.2

4.1: # 1, 3, 7, 9, 13, 17, 21, 33
4.2: # 1, 3, 5, 7, 11, 17, 19, 23, 33

March 5  9

Linearly Independent Sets; Bases: 4.3

4.3: # 1, 3, 5, 9, 11, 15, 19, 21, 31

March 12  16

Dimension of a Vector Space: 4.5
Rank: 4.6

4.5: # 1, 3, 5, 7, 11, 13, 17, 21, 25
4.6: # 1, 3, 5, 7, 11, 25, 27

March 26 30

Eigenvectors and Eigenvalues: 5.1
The Characteristic Equation: 5.2

TAKE HOME QUIZ
DUE APRIL 2
BY 10 am in my office Tyler 217
5.1: # 1, 3, 5, 7, 9, 13, 17, 19, 25, 31
5.2: # 1, 3, 9, 13, 15, 17, 19, 27

April 2  6

Diagonalization: 5.3
Exam II

5.3: # 1, 3, 5,, 7, 11, 15, 19, 21, 23, 29
April 12th.

April 9  13

Inner Product, Length and Orthogonality: 6.1
Orthogonal Sets: 6.2
Orthogonal Projections: 6.3

PROJECT Due April 26
6.1: # 1, 3, 5, 7, 9, 11, 13, 15, 17, 23, 25, 29
6.2: # 1, 3, 5, 7, 11, 13, 17, 21, 27

April 16  20

Orthogonal Projections: 6.3
LeastSquares Problems: 6.5

6.3: # 1, 3, 5, 7, 11, 13, 15, 17, 19
6.5: # 1, 3, 5, 7, 11, 13, 15, 25

April 23  27

Diagonalization of Symmetric Matrices: 7.1
Quadratic Forms: 7.2

7.1: # 1, 3, 5, 9, 11, 17, 19, 23, 27
7.2: # 1, 3, 5, 9, 11, 13, 27

Tuesday May 8th.

Final!!

8:0011:00 AM.
