Calendar for Math 221, Fall 2003

Week Reading Topics
1
8/29 - 9/5

Appendix A
1.1
1.2
1.3

 Vectors
Introduction to Linear Systems
Matrices and Gauss-Jordan Elimination
On the Solutions of Linear Systems
2
9/8 - 9/12		 2.1
2.2
 Intro to Linear Transformations and Inverses
Linear Transformations in Geometry
3
9/15 - 9/19		 2.3
2.4 		Inverse of a Linear Transformation
Matrix Products
4
9/22 - 9/26		 3.1
3.2 		Image and Kernel of a Linear Transformation
Subspaces of R^n - Bases, Linear Independence
5
9/29-10/3		 3.3
3.4 		Dimension of a subspace
Coordinates
Tues, Sept. 30   Prelim 1
6
10/6 - 10/10		 4.1
4.2
4.3
Introduction to linear spaces
Linear transformations and isomorphisms
Coordinates in a linear space
7
10/13-10/14		   FALL BREAK
10/15-10/17 5.1
5.2
Orthonormal bases and orthogonal projections
The Gram-Schmidt process and QR factorization
8
10/20-10/24		 5.3
5.4

Orthogonal transformations and orthogonal matrices
Least squares and data-fitting
9
10/27-10/31

6.1
6.2

Introduction to determinants
Properties of the determinant
Thurs, Oct. 30
   Prelim 2
10
11/3-11/7		 6.3
7.1 		Interpretations of determinants, Cramer's rule
Dynamical systems and eigenvectors
11
11/10-11/14		 7.2
7.3
7.4		 Finding the eigenvalues of a matrix
Finding the eigenvectors of a matrix
Diagonalization
12
11/17-11/21		 7.5
7.6 		Complex Eigenvalues and rotations
Stability
Thurs., Nov. 20   Prelim 3
13
11/24-11/26		 9.1
9.2
An introduction to continuous dynamical systems
The complex case: Euler's formula
11/26-11/28   THANKSGIVING BREAK
14
12/1-12/5		 9.3
5.5		 Linear Differential Operators and Linear Differential Equations
Inner product spaces