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

8/23

1.1

Euclidean Spaces^{} 

8/25

1.2

Norms
and dot products

1.1
2,
6, 10, 23, 32, 39, 40(a), 42(b)
1.2
8,
10, 12, 16, 23, 40, 44

8/30

1.3

Matrices
and Matrix Algebra


9/1

1.3,
1.4

Matrix
Algebra, Solving Systems of equations

1.3
9, 13, 15, 18, 19, 20, 21, 23, 28, 32, 38, 42, 45
1.4
2, 4, 8, 10, 12

9/6

1.4

Systems
of equations


9/8

1.4,
1.5

Inverses
and elementary matrices

1.4
23,
26, 29, 36, 38, 42, 44, 48, 58
1.5
2, 10, 13, 16, 20, 23, 25, 30

9/13

1.5,
1.6

Inverses, subspaces^{} 

9/15

1.6,
2.1

Subspaces and bases _{} 
1.6
2, 6, 8, 16, 18, 22, 29, 38
2.1
8, 11, 20, 25, 26, 28, 29, 32, 37

9/20

2.1,
2.2

Dimension
and Rank of a Matrix


9/22

2.3

Linear
Transformations

2.2
2, 6, 10, 11, 13, 14, 17, 19
2.3
1, 4, 6, 8, 14, 19, 24, 29, 31, 32

9/27

3.1

Vector
Spaces


9/29


Review

3.1
1, 2, 4, 9, 10, 14, 16, 18, 23, 24

10/4


Midterm
1


10/6

3.2

Spans
and General subspaces

3.2
2, 4, 8, 12, 18, 22, 25, 26, 27, 30, 32, 34

10/11

3.3

Coordinatization
of Vectors


10/18

3.4

Linear
Transformations, Inner Product Spaces


10/20

3.4,
3.5, 4.1

Linear
Transformations, Inner Product Spaces, Areas

3.3
2, 6, 8, 12, 19, 21, 22
3.4
4, 7, 8, 16, 17, 20, 26, 34, 39, 49

10/25

4.1,
4.2

Areas,
Volumes and Cross Products, Determinant of a square matrix


10/27

4.2

Determinant
of a square matrix, Computing determinants

3.5
4, 7, 14, 16, 17
4.1
8, 11, 16, 19, 20, 22, 34, 42, 46, 53
4.2
2, 6, 8, 13, 15, 18, 21, 31, 32

11/1

4.3

Computing
determinants,


11/3

5.1

Eigenvalues
and eigenvectors

4.3
4, 10, 18, 22, 24, 28, 35, 36
5.1
4, 8, 14, 16, 18, 23, 24, 30, 32, 36, 38

11/8

5.2,
5.3

Diagonalization


11/10


Review


11/15


Midterm
2


11/17

5.3,
6.1

Diagonalization,
Projections

5.2
5.2 3, 4, 6, 12, 13, 15, 22, 25

11/22

6.1,
6.2

Projections,
GramSchmidt


11/29

6.3

Ortogonal
Matrices


12/1

6.4

Projection
Matrices

6.1: 6, 8, 16, 23, 27

12/6

6.5

Least
Squares


12/8


Review


12/13


Final
Exam 7:30 am

