### Dr. Sarah's Math 2240 Class Highlights Summer 2003 Page

**Tues May 27**
Introductions.
History of linear equations and the term "linear algebra".
Section 1.1 including 1.1 number 41 and then 39.
Intro to Maple via Maple worksheet
(html version)
Intro to LAMP via Chapter 1 Module 1.

**Wed May 28** Call on students to present homework problems.
Fill out the
Information Sheet.
History of matrices and elimination via the chinese.
Section 1.2 by hand (explain Maple codes which they will do later in lab)
including 1.2 number 31.
Hand out Maple Commands and Hints for PS 1.
Go over all the handouts.

**Thur May 29**
Ask students what problems they had on the hw and ask for volunteers
to present the
problems. Begin section 1.3 on fitting a polynomial, network and circuit
analysis. Do 1.3 number 21 and then 23 as a contest.
Go back to the lab and finish up Lamp Chapter 1 Module 1 and answer
the demo questions
Do LAMP 1.3 portions of sections 1 on fitting a curve to data
Chapter 1 module 3
up through and including example 1A (but not exercise 1.1) and then
"Fitting a cubic spline" go thru example 1C and stop at the end of it,
and the complete the
demo questions

**Fri May 30**
Begin 2.1 via digital image examples and applications.
2.1. Go to computer lab and follow lab directions
to examine solutions and WebCT board.
Time to work on PS 1, Practice Problems or PS 2.

**Mon June 2**
Questions on Practice problems.
Discussion on Demo C1 Module 1 and C1 Module 3.
2.2 and 2.3.

**Tues June 3**
Questions on Practice problems.
Finish 2.3. Begin 2.5.

**Wed Jun 4**
Go over lamp demo on Markov chains. Finish up 2.5.
3.1 - 3.3.

**Thur Jun 5**
Questions on practice problems.
Finish up 3.3.
Discuss next week (test and Chapter 4 viewpoint).
Discuss final project.
WebCT quiz.

**Fri Jun 6**
4.1 and then computer lab for Lamp c2m2_v3.mws Sections 2 and 3 only,
and c3m7_v3.mws sections 5 and 6 only.

**Mon Jun 9**
Questions/comments on Lamp modules from Friday or on practice problems in
4.1. Section 4.2

**Tues Jun 10**
Questions on practice problems in 4.2. 4.3.

**Wed Jun 11** Test 1 on Chapters 1-3

**Thur June 12** Finish 4.3, 4.4 and begin 4.5

**Fri Jun 13** Finish 4.5 and 4.6.

**Mon Jun 16** 7.1 and begin 7.2.

**Tues Jun 17** Finish 7.2,

LAMP c6m1_v3.mws Chapter 6 Module 1, Section 2: The Geometry of Eigenvectors,

LAMP c6m2_v3.mws Chapter 6 Module 2, Section 2: Evectors Command

Answer demo questions.

WebCT quiz 2.

Work on
Is A =
diagonalizable? If so find P and P inverse and compute
P inverse A P on Maple.

**Wed Jun 18**
Test 2

**Thur Jun 19**
Go over Lamp modules.
Begin 6.1 def of linear transformation, properties,
and examples 7 and 8, 6.5.

LAMP c6m3_v3.mws Chapter 6 Module 3 Eigenvector Analysis of Discrete Dynamical Systems, and answer demo questions.

**Fri Jun 20**
Go over selections from Chapter 6 Module 3.
Go through LAMP Ch 4 Module 1 Geometry of Matrix Transformations of the Plane
(together)

With a
partner, begin working on

Chapter 4 Module 1 Problem 1: Guess the transformation

Chapter 4 Module 1 Problem 9: Square roots, cube roots, ...

Chapter 6 Module 4 Problem 7: Projection matrices

Chapter 6 Module 4 Problem 8 Parts a and b: Shear matrices

Save your work for continued exploration on Monday.

**Mon Jun 23**
Together, go over Section 1 of
LAMP Ch 4 Module 2 - Geometry of Matrix Transformations
of 3-Space. In groups of 2, work on

Chapter 4 Module 1 Problem 1: Guess the transformation

Chapter 4 Module 1 Problem 9: Square roots, cube roots, ...

Chapter 6 Module 4 Problem 7: Projection matrices

Chapter 6 Module 4 Problem 8 Parts a and b: Shear matrices

If finished, begin Ch 4 Module 3 - Computer Graphics

Go over solutions to the practice problems and above problems.
Discuss study guide for test 3.

**Tues Jun 24**
Go over LAMP Ch 4 Module 3 Computer Graphics.
Then work on Problems 1 and 3.

**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 in a dilation matrix A somewhere
(using, for example, the command
A:=Diagmat([1/2,1/2,1]); and
M:= the product of the 4 matrixes 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.

**Wed June 25** Test 3