MCS-221 Syllabus--Fall 2002

(tentative)
Week Classes Sections Topics Tests
1 9/5-6 1.1 Vectors  
2 9/9-10
9/12-13
1.2
1.3
1.4
m by n matrices
Systems of linear equations
Gaussian elimination
 
3 9/16-17
9/19-20
Lab
1.4
1.5
Maple
Gaussian elimination, continued
Column space and null space
 
4 9/23-24

9/26-27
Ch. 1
Test
2.1
Review
Ch. 1
Test for linear independence
Test 1: T 9/24
5 9/30
10/3-4
2.2

2.3
Dimension
Nobel Conference
Applications to systems
 
6 10/7-8
10/10-11
Lab
Ch. 2
Test
3.1
Fundamental Theorem, Part I
Review
Ch. 2
Linear transformations
Test 2: 10/10
7 10/14-15
10/17
3.1
3.2
3.3
 
Linear transformations
Matrix multiplication/Composition
Image of a transformation
Fall Reading Break
 
8  
10/22
10/24-25
 
3.4
3.3
Fall Reading Break
Inverses
Maple
 
9 10/28-29
10/31,11/1
3.5
Ch. 3
Test
4.1
LU factorization
Review
Ch. 3
Coordinates
Test 3: 10/31
10 11/4-5
11/7-8
4.1
4.2
 
4.4
Coordinates
Projections
Gram-Schmidt process
Orthogonal matrices
 
11 11/11-12
11/14-15
4.5
+
+
Ch. 4+
Least squares
Fundamental Theorem, Part II
Fredholm's Alternative
Review
 
12 11/18-19
11/21-22
Test
5.1
5.2
5.3
Ch. 4
Determinants
Row reduction & determinants
A formula for inverses
Test 4: 11/18
 
 
 
13 11/25-26 Ch. 5
6.1
 
Wrap-up
Eigenvalues and eigenvectors
Thanksgiving break
 
14 12/2-3
12/5-6
6.1
6.2
6.3
Eigenvectors
Diagonalization
Complex eigenvectors
 
15 12/9-10
12/12-13
6.4
6.5
Chs. 1-6
Matrix of a linear transformation
Quadratic forms
Wrap-up and review
 
Finals
week
M 12/16 Chs. 1-6
esp. chs. 5-6
8:00-10:00
Olin 320
Final Exam
12/16