### Dr. Sarah's Math 2240 Class Highlights Summer 2008 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.

**Mon Aug 3** Begin chapter 6. Computer graphics and review
chapter 7.
**Tues Aug 4** Take questions on test 3. Finish computer graphics
demo.
**Wed Aug 5** Test 3. Group work on chapter 6.
**Thur Aug 6** Go over group work. Present abstracts.
Discuss
Yoda via the file Yoda2.mw with data from Lucasfilm LTD.
Tim's Page.
Course evals
**Fri Aug 7** Project presentations

**Mon July 27** Questions on 4.4 and 4.5. Go over group work
from Fri. 4.6.
**Tues July 28** 7.1
**Wed July 29** Take questions on test 2. Continue Chapter 7 with
Foxes and Rabbits.
**Thur July 30** Test 2. group work
on eigenvalues and eigenvectors
**Fri July 31** Continue Chapter 7 via 7.2 and Dynamical Systems
and Eigenvectors (ie selections of 7.4).

**Mon July 20** Test 1. In the last part of class,
work in groups on 4.1 35 and 43 and
specify the geometry of the rows and the columns.
**Tues July 21**
Revisit Problem Set 1 #5 (k problem) and examine the geometry
of the rows and the columns of the augmented matrix.
Algebra and geometry of linear combinations by a demo on ASULearn.
Begin 4.2 and 4.3.
**Wed July 22**
Continue 4.2 and 4.3.
**Thur July 23**
4.4 and 4.5
Definitions. Maple work

Maple Code:

with(LinearAlgebra): with(plots):

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);
**Fri July 24**
4.5
Go over ASULearn demo on Span and li.
group work on span, l.i. and basis.
If time remains before we come back together, then work on the next
problem set or test revisions.

**Mon July 13**
Discuss practice problems 2.1 number 32 and 2.2 number 35. Do 2.3.
Applications of the algebra of matrices. Discuss
Markov/stochastic matrices problems.
**Tues July 14**
Meet in 205.
Finish
Markov/stochastic matrices problems
Mention ASULearn Demo for 2.5. 2.5 on coding, discuss regression line.
Begin Chapter 3 in Maple via MatrixInverse command and then determinant work.
**Wed July 15** Finish 3.3. **This is the
end of the material for test 1.**
**Thur July 16** Begin 4.1.
Geometry of vector combinations -
geometry of determinants and row operations via demo on ASULearn.
Return to the proof that there were 0, 1, or infinitely
many solutions to any linear system, and examine the geometry in 2-D.
**Fri July 17** Take questions on test 1.
4.1 continued.
Coffee mixing problem and numerical methods issue related to decimals versus
fractions.

**Tues July 7**
Fill out information sheet.
Form groups of 2 or 3 people. Prepare to present a partner's

1) Name

2) Something that will help us remember them

3) Where their first name or nickname came from or what it
means (name history)

History of linear equations and the term "linear algebra"
images.
Begin 1.1.
Intro to Maple.
Continue 1.1 and 1.2 including geometric perspectives in 2-D,
plotting, by-hand solutions, and ReducedRowEchelon and GaussianElimination.
Begin 3-D.
Elimination.
Go over learning evaluations.
History of matrices and elimination
via the Chinese and Gauss.
Geometric perspectives in 3-D and solving using by-hand solutions,
and ReducedRowEchelon and GaussianElimination.
**Wed July 8**
Take questions on the syllabus. Mention PS1 Hints.
Go over learning evaluations.
Go over 73 in Maple using Gaussian.
Continue 3-D and
elimination.
Geometric perspectives in 3-D and solving using by-hand solutions,
and ReducedRowEchelon and GaussianElimination.
**Thur July 9**
Go over 43 on the practice problems, including the geometry.
Go over text comments in Maple. Section 1.3.
Begin 2.1.
Image 1
Image 2
Image 3
Image 4
Image 5
Image 6
Image 7.
Powerpoint file
**Fri July 10**
Powerpoint file
Continue with 2.2 html file.
If time remains, then begin 2.3.