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 
1/19 
1.1 
Linear Equations

1.1: 1(a, b, d), 2(a, c), 3(a, b, d), 4(a, b, c), 5(a, b, c), 6(a, c, f), 7, 8 (Editions 7 and 8) 
1/21 
1.2 
Row Echelon Form


1/26 
1.3 
Matrix Arithmetic

1.2: 1, 2, 3, 5(a, c, e, f,h), 6(a, d), 8, 11, 12 1.3: 1, 2, 3, 4, 5(a, c), 6(a), 8, 9, 10 All of the above problems are in both the 7th and 8th Editions and 1.3 15 from 8th Edition or 1.3 28 from 7th Edition 
1/28 
1.4 
Matrix Algebra (Quiz 1 Sections 1.11.3) 

2/2

1.5 
Elementary Matrices

7th Edition: 1.3: 20(a), 9, 10, 15, 26(b), 29(a) 1.4: 1, 2, 8(a,d), 10(a,f), 12(a,d), 15 8th Edition: 1.4 1(a), 6, 7, 12, 28, 30(a) 1.5: 1, 2, 8(a,d), 10(a,f), 12(a,d), 15 
2/4 
2.1

Determinants 

2/9 
2.2

Properties of Determinants (Quiz 2 1.41.5)

7th and 8th Editions: 2.1: 1, 2, 3(a,d,f,g,h), 4, 5, 6 2.2: 1, 2, 3(a,c,e f), 4, 5, 7(c, d), 9, 12(a) 
2/11 
2.3

Applications of the Determinant


2/16 
3.1

Vector Spaces

7th and 8th Editions: 2.3: 1(a,c), 2(a,c,d), 3, 5(a,b), 8 3.1: 3, 6, 7, 9, 10, 14 
2/18 
3.2 
Subspaces (Quiz 3 2.12.3)


2/23 

Review (Scanned Quiz Solutions)

7th Edition: 3.2: 1(a,c,e), 3(a,d), 4(a,d), 8(b,c), 10(a,c), 14(a,d), 16 8th Edition 3.2: 1(a,c,e), 3(a,d), 4(a,d), 10(a,b), 12(a,c), 16(a,d), 18 
2/25 
Midterm 1 (Sections 1.12.3)

Solutions  
3/1 
3.3 
Linear Independence

7th Edition: 3.3: 1(a,c), 2(a,c), 4(a), 6(a,c), 7(a) 10(a,b) 8th Edition 3.3: 1(a,c), 2(a,c), 4(a), 8(a,c), 9(a) 12(a,b) 
3/3 
3.4

Basis and Dimension (Quiz 4 3.13.3)


3/8 
3.5 
Change of Basis

Both editions: 3.4: 3, 4, 5(a,b,c), 7, 10, 14(c) 3.5: 1(a), 2(a), 3, 4, 5, 6, 7, 8, 10 
3/10 
3.6 
Row Space and Column Space


3/22 
4.1

Linear
Transformations (Quiz 5 3.43.5)

7th Edition: 3.6 1, 2(b), 3, 4(b,d), 6, 7, 8, 10, 11 8th Edition: 3.6 1, 2(b), 3, 4(b,d), 6, 8, 9, 15, 16 Both Editions 4.1 1(a,b,d), 3, 4, 5(a,c,d), 6(a,d), 8(a,c), 10 
3/24 
4.2, 4.3

Matrix Representation of Linear Transformations 

3/29 
5.1

Inner Products

4.2 1, 2(a,b,c), 3(a,b), 4(a), 5(a,b,c) 4.3 1(a,b,e) 5.1 1(a,b), 2(a,b), 3(a,c), 4, 7 
3/31 
5.2 
Orthogonal Subspaces (Quiz 6 3.6, 4.14.3)


4/5 

Review (Scanned Quiz Solutions) 

4/7 

Midterm 2 (Sections 3.14.3)

Solutions 
4/12 
5.3 
Least Squares

5.2 1(a,b,c,d), 2 5.3 1(a,c), 3(a), 5, 6 
4/14 
5.4, 5.5

Inner Product Spaces, Orthonormal Sets (Quiz 7 5.15.3)


4/19 
5.6

GramSchmidt 
5.4 1, 2, 3, 5, 9 5.5 1, 2, 3, 6, 8 5.6 1(a), 3, 4, 5, 8 
4/21 
6.1

Eigenvalues and Eigenvectors 

4/26 
6.2 
Systems of ODEs (Quiz 8 5.46.1)

6.1 8th Edition 1(a,c,d,e,f,g,k), 2, 3, 8, 9 7th Edition 1(a,c,d,e,f,g,k), 2, 3, 6, 7 6.2 1(a,b,d,e), 2(a,b), 3, 4, 5 
4/28 
6.3 
Diagonalization 

5/3 

Review

6.3 1(a,c), 2(a,c), 6, 7 (These don't need to be turned in.) 
5/5 
Review (Scanned Quiz Solutions) 

5/10 
Final Exam 10 am
