### Dr. Sarah's Math 2240 Class Highlights Spring 2005 Page

The following is NOT HOMEWORK unless you miss part or all of the class.
See the Main Class Web Page
for ALL homework and due dates.

**Tues Apr 26**
Go over aspects of test 3. Each person shares a few words related to
their abstract. Conclude with c4s5.mws.

**Tues Apr 19**
Finish going over VLA c4s2.mws, problem 1. Take questions on
test 3. Begin VLA c4s5.mws.

Hints on Problem 1: Look at Section 1 example 1C, but use rotation by -Pi/6. We also need to shrink the triangle as it goes around, so, instead of letting M equal U.R.T, you need to add a dilation matrix A somewhere (using, for example, the command A:= Diagmat([1/2,1/2,1]); and M:=the product of the 4 matrices A, U, R, and T in some order that makes sense, and Movie(M,triangle, frames=18); but adjusting the dilation so that it matches the problem.)

Hints on Problem 3: Try a rotation matrix composed with a translation matrix.

**Thur Apr 21** Test 3

**Tues Apr 12**
Geometry of Matrix Transformations of the Plane via book and VLA c4s2.mws.
Begin working on:

Problem 1 - guess the transformation

VLA c7s4.mws problem 6 (except part e) -
Projection Matrices and Diagonalization

**Thur Apr 14**
Continue working on the problems and then present them to the class.

**Tues Apr 5**
Take review questions.
VLA c7s3.mws and 7.2.

**Thur Apr 7**Test 2

**Thur Mar 31**
An eigenvector analysis of discrete dynamical systems (VLA c7s3.mws).

**Tues Mar 22** 4.6 and 7.1 and the Eigenvectors command.

**Thur Mar 24** 7.1 continued.
The geometry of eigenvectors in Maple (VLA c7s1.mws).

**Tues Mar 15** Finish 4.4 and begin 4.5

**Thur Mar 17** Finish 4.5 and begin 4.6.

**Tues Mar 1** Finish 4.2 and begin 4.3

**Thur Mar 3** Finish 4.3 and begin 4.4

**Tues Feb 22** Test 1

**Thur Feb 24** Continue 4.2

**Tues Feb 15**
Finish VLA c2s2.mws Sections 2 and 3.
Discuss numerical method issues related to the coffee mixing problem.
Begin 4.2.

**Thur Feb 17**
Do VLA c6s2.mw Section 4. Note this is not on the server.
Maple
Continue 4.2.

**Tues Feb 8**
Finish 3.2, 2.5, and begin 3.3.

**Thur Feb 10**
Finish 3.3. Begin 4.1. Begin VLA c2s2.mws Sections 2 and 3.

**Tues Feb 1**
2.3 and begin 2.5 including VLA Chap 3 Module 4.

**Thur Feb 3**
Finish VLA Chap 3 Module 4. Begin 3.1 and 3.2.

**Tues Jan 25**
Finish
VLA c1s4.mws Examples C, and D
(Cubic Splines, and Temperature Distributions).
Begin 2.1 via
Image 1
Image 2
Image 3
Image 4
Image 5
Image 6
Image 7.
Continue 2.1. Powerpoint file.

**Thur Jan 27**
Finish 2.1. Continue with 2.2. html file

**Tues Jan 18**
History of matrices and elimination via the Chinese.
Do 1.2 and if time remains, begin 1.3.

**Thur Jan 20**
Finish 1.3 and go over VLA c1s4.mws Examples A, B, C, and D
(Curve Fitting, Cubic Splines, and Temperature
Distributions) and use the Maple commands

> A := Matrix([[1,1,1,2],[4,2,1,6],[9,3,1,4]]);

> ReducedRowEchelonForm(A);

**Tues Jan 11**
Fill out Information Sheet.
Introductions.
History of linear equations and the term "linear algebra".
html of file.
Begin 1.1.
Intro to Maple via Maple worksheet
(html version)
Continue 1.1.

**Thur Jan 13** Continue 1.1.
Intro to VLA via C1s2.mws.
Elimination