Professor:
Dr. Janet Vassilev
Office: SMLC 324
Office
Hours: TWR 11 am 12 pm and by appointment.
Telephone: 505 2772214
email: jvassil@math.unm.edu
webpage:
http://www.math.unm.edu/~jvassil
Date 
Section 
Topic

Homework 
1/17 
1.1 
Euclidean Spaces 

1/19 
1.2 
Norms and dot products 
1.1 2, 12, 24, 25, 35, 38, 39, 40c, 41b1.2 4, 10, 25, 40, 43, 44 
1/24 
1.3 
Matrices and Matrix Algebra 

1/26 
1.3, 1.4 
Matrix Algebra and Systems of equations 
1.3 6, 8, 10, 12, 20, 21, 23, 28, 30, 38, 42 
1/31 
1.4 
Systems of equations 

2/2 
1.4 
Systems of equationsand elementary matrices 
1.4 4, 8, 10, 16, 20, 23, 28, 29, 38, 42, 44, 50, 58

2/7 
1.5

Inverses 

2/9 
1.6

Subspaces and bases 
1.5 3, 6, 10, 12, 13, 16, 20, 23, 24, 26, 29, 30, 34

2/14 
2.1

Dimension and linear independence


2/16 
2.2 
Row Spaces, Column spaces, Nullspaces and Rank of a Matrix 
1.6 2, 6, 8, 15, 24, 29, 38, 45, 472.1 10, 22, 25, 27, 28, 29, 37

2/21 
2.3 
Linear Transformations 

2/23 
Review 

2/28 
Midterm 1 

3/1 
3.1

Vector Spaces 
2.2 4, 10, 11, 12, 14, 17

3/6 
3.2 
Spans and General subspaces, 

3/8 
3.3, 3.4 
Coordinatization of Vectors, Linear Transformations 
3.1 18, 23, 243.2 4, 5, 10, 12, 16, 18, 20, 25, 26, 30, 323.3 4, 8, 10, 22 
3/20 
3.4

Linear Transformations 

3/22 
3.5, 4.1 
Inner Product Spaces, Areas,

3.3 6, 213.4 2, 4, 5, 6, 16, 18, 20, 24, 32, 34, 39, 49, 50

3/27 
4.2 
Determinant of a square matrix 

3/29 
4.2, 4.3 
Computing determinants 
4.1 4, 6, 14, 19, 22, 26, 30, 34, 38

4/3 
5.1 
Eigenvalues and eigenvectors 

4/5 
5.2, 5.3 
Diagonalization 
4.3 4, 6, 10, 16, 18, 22, 23, 28, 30, 35

4/10 
Review 

4/12 
Midterm 2 

4/17 
5.3, 6.1

Diagonalization, Projections 

4/19 
6.1, 6.2

Projections, GramSchmidt 
5.2 2, 8, 12, 13, 15, 18, 25

4/24 
6.3 
Ortogonal Matrices 

4/26 
6.4 
Projection Matrices 
6.2 4, 8, 12, 24, 25, 29

5/1 
6.5 
Least Squares 

5/3 
Review 

5/8 
Final Exam 10 am
