### Dr. Sarah's Math 2240 Class Highlights Fall 2007 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.

**Wed Dec 12**
Final projects and evaluations.

**Tues Dec 4**
Discuss final project abstracts. Hand back test 3 and work on
revisions.

**Tues Nov 27**
Take questions on test 2 revisions or the test 3 study guide.
Discuss the importance of orthogonal matrices. If time
remains, motivate Yoda via the bottom of
Tim's Page.
Do yoda3.mw.

**Thur Nov 29**
Test 3

**Tues Nov 20** Collect problem set.
Finish the computer graphics demo on WebCT.
Discuss the importance of orthogonal matrices.
Work on the problems at the end of the demo. Look at the
study guide for the test.

**Tues Nov 13** Discuss linear transformations and prove that a
rotation matrix rotates vectors. Then use a worksheet to
discuss other 2-D transformations
via their algebra and geometry, and then look at diagonalizability.

**Thur Nov 15**
Work on Projection Matrices.
If time remains before we come back together, work on the choice of a
final project topic. If you have submitted a request on WebCT, work on
the last problem set. Come back together and discuss.
Computer graphics demo on WebCT.

**Tues Nov 6** 7.1 and 7.2.

**Thur Nov 8** Continue with 7.1 and 7.2 and then begin
the dynamical demo on WebCT.

**Tues Oct 30** Review work from Thursday and
the eigenvector decomposition in Maple and discuss the necessity for
by-hand understanding and diagonalizability.
Group Juggle. Take questions on the test.
Each person makes up a test question.

**Thur Nov 1** Test 2.

**Tues Oct 23** Collect practice problems.
Do 4.6. In groups do 4.6 22 and 31. Go over practice problems. Go over
spacecurve command on columns and implicitplot3d command on the rows.

**Thur Oct 25** Meet in 205.
Begin 7.1 and the geometry of eigenvectors via WebCT demo, including zero
valued eigenvalues. Continue 7.1 with the Fox problem via WebCT demo and the
eigenvector decomposition. If time remains, look at final project info.

**Tues Oct 16**
4.4 and 4.5 definitions

Maple Code:

>M:=Matrix([[1,0,-2],[2,1,0],[3,2,1]]):

>
a1:=spacecurve({[1*t,2*t,3*t,t=0..1]},color=red, thickness=2):

a2:=textplot3d([1,2,3, ` vector [1,2,3]`],color=black):

b1:=spacecurve({[0*t,1*t,2*t,t=0..1]},color=green, thickness=2):

b2:=textplot3d([0,1,2, ` vector [0,1,2]`],color=black):

c1:=spacecurve({[-2*t,0*t,1*t,t=0..1]},color=magenta, thickness=2):

c2:=textplot3d([-2,0,1, ` vector [-2,0,1]`],color=black):

d1:=spacecurve({[0*t,0*t,0*t,t=0..1]},color=yellow, thickness=2):

d2:=textplot3d([0,0,0, ` vector [0,0,0]`],color=black):

display(a1,a2, b1,b2,c1,c2,d1,d2);

**Thur Oct 18** Finish 4.5 and mention WebCT comments on
span and linear independence.
Do group work and prepare to present your
responses.

**Tues Oct 9** Finish 4.2 and 4.3.

**Tues Oct 2** Finish 4.1 with coffee
mixing problem and numerical methods issue related to decimals versus
fractions. Begin 4.2.

**Thur Oct 4** Finish rotation matrices. Go over some of test 1 and
discuss revisions and the study guide. Finish 4.2 with group work.

**Tues Sep 25** Geometry of linear combinations and determinants
via demo on WebCT.
Coffee mixing problem and numerical methods issue related to
decimals versus fractions.

**Thur Sep 27** Test 1 in 205.

**Tues Sep 18** Go over practice problem in 2.5. Begin chapter 3.
Maple work on determinants.

**Thur Sep 20** Go over chapter 3 practice problems.
Finish chapter 3. Begin 4.1.

**Tues Sep 11** Go over practice problems. Finish 2.3.
Begin 2.5 on coding.

**Thur Sep 13** Finish 2.5 on coding, discuss regression line, and
begin Markov/stochastic matrices and stability. Discuss
Markov problems. If time remains, then
begin 3.1.

**Tues Sep 4**
Continue with 2.2 html file. Do 2.3.

**Thur Sep 6** Convocation

**Tues Aug 28** Go over 59 b and 73 in Maple using Gaussian.
1.3 and 2.1.
Image 1
Image 2
Image 3
Image 4
Image 5
Image 6
Image 7.
Continue 2.1. Powerpoint file

**Thur Aug 30** Go over 43 and 49 on the practice problems, including
the geometry of 43. Continue with 2.2 html file

**Tuesday Aug 21**
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 including geometric perspectives in 2 and 3-D.
Elimination.

**Thur Aug 23**
History of matrices and elimination
via the Chinese and Gauss.
Open Maple 11. Hand out
PS 1 Hints. Use ReducedRowEchelon
on last 2 examples from Monday that we plotted and solved by-hand.
Go over text comments in Maple and web pages and bulletin board and
solutions. 1.2 by-hand and on Maple. If time remains, begin 1.3.