Math 224 Daily Objectives,
Notes, Examples, and Maple worksheets
- Tuesday, December 11, 2007
- Thursday, December 6, 2007
- Tuesday, December 4, 2007
3.4: Linear transformations.
Definition of a linear transformation T:V->V'
Examples of linear transformations
The matrix of a linear transformation T:V->V' relative to bases B,B'
- Thursday, November 29, 2007
Continued discussion of 3.2: Basic Concepts of Vector Spaces.
3.3: Coordinatization of vectors.
- Tuesday, November 27, 2007
- Thursday, November 15, 2007
6.4: Projection Matrices.
The projection matrix P for the subspace W.
Finding the projection of a vector on a subspace using the projection matrix.
- Tuesday, November 13, 2007
6.3: Orthogonal Matrices.
Maple worksheet used in class. This Maple worksheet is on the P: drive at the following location: P:/Class/Math/Paquin/Math224/Orthogonal.mw.
- Thursday, November 8, 2007
6.2: The Gram-Schmidt Process.
Definition of orthogonal basis
Projection using an orthogonal basis
Definition of orthonormal basis
Projection using an orthonormal basis
Construct an orthonormal basis using the Gram-Schmidt process
Maple worksheet for implementing the Gram-Schmidt process. This Maple worksheet is on the P: drive at the following location: P:/Class/Math/Paquin/Math224/gram.mw.
- Tuesday, November 6, 2007
6.1: Projections.
Definition of orthogonal complement
How to find the orthogonal complement
Properties of the orthogonal complement
How to find the projection of a vector onto a subspace W
Maple worksheet for the in-class example on finding a projection. This Maple worksheet is on the P: drive at the following location: P:/Class/Math/Paquin/Math224/Projections.mw.
Note: The textbook refers to the "boxed-procedure on p. 333" for finding the projection of a vector onto a subspace W. You should instead use the method explained in class on the second page of the in-class worksheet on projections. It's the same method, just explained in more detail.
Maple worksheet for the in-class example on finding a projection. This Maple worksheet is on the P: drive at the following location: P:/Class/Math/Paquin/Math224/Projections.mw.
- Thursday, November 1, 2007
- Tuesday, October 30, 2007
- Thursday, October 25, 2007
Application of eigenvalues to systems of linear differential equations.
- Tuesday, October 23, 2007
- Thursday, October 18, 2007
- Tuesday, October 16, 2007
- Thursday, October 11, 2007
- Thursday, October 4, 2007
Maple worksheet as an html
file. This Maple worksheet is on the P: drive at the following location: P:/Class/Math/Paquin/Math224/det.mw.
- Tuesday, October 2, 2007
- Thursday, September 27, 2007
- Tuesday, September 25, 2007
- Thursday, September 20, 2007
- Tuesday, September 18, 2007
- Thursday, September 13, 2007
- Tuesday, September 11, 2007
- Thursday, September 6, 2007
- Tuesday, September 4, 2007
- Thursday, August 30, 2007
- Tuesday, August 28, 2007