Monday 
9/17/01 
First day of class. Introduction to linear systems. 
1.1 
Wednesday 
9/19/01 
Matrices and GaussJordan elimination. 
1.2 
Friday 
9/21/01 
The solutions of linear systems. 
1.3 




Monday 
9/24/01 
Linear transformations. 
2.1 
Wednesday 
9/26/01 
Geometrical interpretations of linear transformations. 
2.2 
Friday 
9/28/01 
The inverse of a linear transformation. 
2.3 




Monday 
10/1/01 
Composition of linear transformations. Matrix products. 
2.4 
Wednesday 
10/3/01 
The image and kernel of a linear transformation. 
3.1 
Friday 
10/5/01 
Subspaces, bases and linear independence. 
3.2 




Monday 
10/8/01 
NO CLASS  COLUMBUS DAY. 
No reading 
Wednesday 
10/10/01 
The dimension of a subspace. 
3.3 
Friday 
10/12/01 
Coordinates of vectors. 
3.4 




Monday 
10/15/01 
Introduction to linear spaces. 
4.1 
Wednesday 
10/17/01 
Linear transformations and isomorphisms. 
4.2 
Friday 
10/19/01 
Orthonormal bases and orthogonal projections. 
5.1 




Monday 
10/22/01 
Review for Test 1. 
No reading 
TUESDAY 
10/23/01 
EXAM 1: 79PM SCIENCE CENTER LECTURE HALL C 
Remember your calculator and one page of notes 
Wednesday 
10/24/01 
The GramSchmidt process and QR factorization. 
5.2 
Friday 
10/26/01 
Orthogonal transformations and orthogonal matrices. 
5.3 




Monday 
10/29/01 
Least squares and datafitting. 
5.4 
Wednesday 
10/31/01 
Introduction to determinants. 
6.1 
Friday 
11/2/01 
Properties of the determinant. 
6.2 




Monday 
11/5/01 
Interpretations of determinants, Cramer's rule. 
6.3 
Wednesday 
11/7/01 
Dynamical systems and eigenvectors. 
7.1 
Friday 
11/9/01 
Finding the eigenvalues of a matrix. 
7.2 




Monday 
11/12/01 
NO CLASS  VETERAN'S DAY. 
No reading 
Wednesday 
11/14/01 
Finding the eigenvectors of a matrix. 
7.3 
Friday 
11/16/01 
Diagonalization. 
7.4 




Monday 
11/19/01 
Complex eigenvalues and rotations. 
7.5 
Wednesday 
11/21/01 
Stability. 
7.6 
Friday 
11/23/01 
NO CLASS  THANKSGIVING BREAK. 
No reading 




Monday 
11/26/01 
An introduction to continuous dynamical systems. 
9.1 
Wednesday 
11/28/01 
The complex case: Euler's formula. 
9.2 
Friday 
11/30/01 
Nonlinear systems of differential equations. 
Supplemental notes. 




Monday 
12/3/01 
Review for Test 2. 
No reading 
TUESDAY 
12/4/01 
EXAM 2: 79PM SCIENCE CENTER LECTURE HALL C 
Remember your calculator and one page of notes 
Wednesday 
12/5/01 
Solving ordinary linear differential equations. 
Supplemental notes. 
Friday 
12/7/01 
Calculating the Fourier series of a periodic function. 
Supplemental notes. 




Monday 
12/10/01 
Solving the 1D heat equation by separation of variables. 
Supplemental notes. 
Wednesday 
12/12/01 
Solving the 1D wave equation by separation of variables. 
Supplemental notes. 
Friday 
12/14/01 
Summary of partial differential equations. 
Supplemental notes. 
WEDNESDAY 
01/23/02 
FINAL EXAM 
(EXAM DAY SUBJECT TO
CHANGE.) PLACE AND TIME TO BE ANNOUNCED 