Applied Matrix Theory Syllabus,  Fall 2003,  MWF 1:30 Section

Lecture
Section
Topic                                  
Homework Problems
HW#, Due Date  
W-Aug 20
1.1
Vectors in R^2 and R^3
1.1 #1ac, 2ag, 3bc, 4, 8cd, 11, 17, 20
1. Aug 29
F- Aug 22
1.2
Vector space of matrices
1.2  #5cd, 9, 10, 14
1. Aug 29
M-Aug 25
1.2
(continued)  
1.2  #12a-f, 18, 19cdf, 20
2. Sept 5
W-Aug 27
1.3
Systems of linear equations
1.3  #4a, 5abdg, 9
2. Sept 5
F- Aug 29
1.4
Gaussian elimination
1.4  #1a, 3b, 5a
2. Sept 5
M- Sept 1
Holiday

 
 
W- Sept 3
1.4.1
Networks
1.4 # 5bc, 7ac, 8, 9, 11, 13;  1.4.1 # 1ab
3. Sept 12
F-Sept 5
Lab 1
Vectors on MATLAB, 1.2, pg 28
#1, 2, 3, 4
LR1: Sept 12
M-Sept  8
1.5
Column and nullspace
1.5 #1ab, 4ab, 10, 13, 25
3. Sept 12
W-Sept 10
2.1
Linear independence
1.5 #17, 22, 30, 31, 32;  2.1 #1ae, 5, 10 
4. Sept 19
F-Sept 12
2.2
Dimension
2.2 #6b, 7, 8, 11, 12, 14a, 24, 25
4. Sept 19
M-Sept 15
2.2.1
Differential Equations
2.2.1 #3ac, 4ac, 7,8, 16
5.  Oct 3
W-Sept 17
2.3
Applications to systems
2.3 #1, 2, 7, 8, 9, 14, 15  
5. Oct 3
F- Sept 19
Lab 2
Gaussian elimination, 1.4,  pg  53
#1, 2, 3
LR2: Sept 26
M-Sept 22
2.3
(continued)
 

W-Sept 24
Review
Review for test 1
 

F-Sept 26
Exam 1

 

M-Sept 29
3.1
Linear transformations
3.1 #1ab, 5,  7 ,10, 13, 15, 19b,  23a-d
6. Oct 10
W-Oct 1
3.2
Matrix multiplication
3.2 #10, 11, 12, 20, 22
6. Oct 10
F-Oct  3
3.2
(continued)


M-Oct 6
3.3
Image of a transformation
3.1 #24, 25; 3.2 #18,25; 3.3 #1acd, 7, 12
7. Oct 17
W-Oct 8
3.4
Inverses of matrices
3.4 #1,2abf, 3a, 12, 13, 15, 16, 21
8. Oct 24
F- Oct 10
Lab 3
Spring-Mass Oscillations, 2.2, pg 118
#1,2,3,4
LR3: Oct 17
M- Oct 13
Holiday
 
 

W- Oct 15
3.4
(continued)


F- Oct 17
3.4.1
Economic models
3.4.1 # 1
8. Oct 24
M- Oct 20
3.5
LU Factorization
3.5 #1ab, 2
8. Oct 24
W- Oct 22
4.1
Orthogonal bases
4.1 #2abc, 5, 10b, 12
9. Oct 31
F- Oct 24
4.2
Projection, Gram-Schmidt
4.2 #1,3,5ab, 10, 11
9. Oct 31
M-Oct 27
4.3
Fourier series
4.3 # 1, 2g, 7, 9
9. Oct 31
W-Oct 29
4.3
(continued)
4.1 #13; 4.2 # 14; 4.3 #10, 13cd
10. Nov 14
F- Oct 31
Lab 4
Stick figures, 3.1, pg 148
#1,2,3,4,6,7
LR4: Nov 7
M- Nov 3
4.4
Orthogonal matrices
4.4 # 2, 3, 6, 7, 8, 10, 12
10. Nov 14
W- Nov 5
Review
Review for test 2


F- Nov 7   Exam 2

 

M- Nov 10
4.5
Least squares
4.5 #1, 5, 6, 7, 10
10. Nov 14
W-Nov 12
5.1
Determinants
5.1 #1achi, 7ab, 9
11. Nov 21
F-Nov 14
5.2
Properties of determinants
5.2 #1bc, 5, 6, 12, 13
11. Nov 21
M-Nov 17
5.3
Formula for inverse
5.3 # 1, 3
11. Nov 21
W- Nov  19
6.1
Eigenvectors.
6.1 #5, 8, 11bc, 12, 13
12. Dec 5
F- Nov 21
Lab 5
Fourier approximations, 4.3, pg 242
#1,2,3,4
LR5: Dec 5
M- Nov 24
6.1.1
Markov processes
6.1.1 #2b, 6abc, 7ab
12. Dec 5
W-Nov 26
Holiday
 
 

F- Nov 28
Holiday
 
 

M- Dec 1
6.2
Diagonalization
6.2 # 5bc, 6a, 8
12. Dec 5
W-Dec 3
6.3
Complex eigenvectors
6.3 #2, 3, 6
12. Dec 5
F- Dec 5
6.4
Matrix of a linear transformation


M-Dec 8
Review
Review for final exam


W-Dec 10
Review
Review for final exam


W- Dec 17
Final
Final exam, 11:50- 1:40  Ackert 144