### 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 4** Finish worksheet. Relate to chapter 6.
Computer Graphics Demo. In the process, discuss the importance of
orthogonal matrices.

**Tues Aug 5** Review for test 3.
Give each person a few minutes to come up with 1 truth and 1 lie, like
[I passed my first calculus test in college. I was born in Charlotte, NC].
Student gives name, and their statements, and the class decides. Relate
to the test and studying - getting to know the person beforehand makes this
easier. Some people can't lie with a straight face, etc. Each person makes
up a test question and use this to review.
Continue the demo.

**Wed Aug 6** Test 3

**Thur Aug 7**
Test 3. Finish the demo. Oral abstracts.
Yoda computer graphics (yoda2.mw).
Tim's Page.

**Fri Aug 8** Poster Sessions.
Course Evaluations.

**Mon July 28**
Review work from Thursday via rural and urban population problem
and the eigenvector decomposition in Maple
Discuss the necessity for by-hand understanding and diagonalizability.
Begin 7.1 and 7.2 by-hand.

**Tues July 29**
Dynamical demo.
Work on Projection Matrices.

**Wed July 30** Review for test 2. Continue
work on Projection Matrices.

**Thur July 31** Test 2.

**Fri Aug 1**
Review work on Projection Matrices.
Begin 6.1 and combine that with the previous material to complete 7.1 and
7.2. Use a worksheet to discuss other
2-D transformations via their algebra and geometry, and then look at
diagonalizability.

**Mon July 21** Test 1

**Tues July 22** Finish 4.3. Begin 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);

**Wed July 23** Finish 4.5. Go over ASULearn demo on Span and li.
group work. If time remains before we come
back together, work on practice problems for Friday. Go over
minoring or majoring in mathematics.

**Thur July 24** Do 4.6 and work on 4.6 numbers 22, 29, and
31. Review ASULearn Solutions on the group problems and 4.4-4.6.

**Fri July 25**
Review the Healthy/Sick Worker Problem on Problem Set 3 Solutions on
ASULearn. Connect to chapter 4, since solving {x so that Ax=x} is a vector
space called the eigenspace, and we are going to combine matrix algebra to
understand this problem at a much deeper level.
Begin 7.1 and the geometry of eigenvectors via ASULearn demo, including zero
valued eigenvalues. Continue 7.1 with the Fox problem via ASULearn demo and
the eigenvector decomposition.

**Mon July 14**
Go to 205.
Discuss Markov/stochastic matrices problems.
Mention ASULearn Demo for 2.5.
Discuss practice problems 2.1 number 32 and
2.2 number 35.
Return to the classroom.
Begin Chapter 3 in Maple via MatrixInverse command and then determinant
work.

**Tues July 15**
Finish chapter 3.
Begin 4.1. Geometry of vector combinations.
Begin geometry of determinants and row operations via demo on ASULearn.

**Wed July 16**
Review Geometry of vector combinations.
Return to the proof slide and examine the
geometry in 2-D. Coffee
mixing problem and numerical methods issue related to decimals versus
fractions. Algebra and geometry of linear combinations by a demo on
ASULearn.

**Thur July 17** Begin 4.2. Group work and 4.2 number 26
part b. Groups presenting their work.

**Fri July 18**
Take questions on the study guide or problem set.
Begin 4.3. Discuss subspaces of R^2 and R^3.
Discuss rotation matrices under matrix multiplication. Discuss
invertible matrices and non-invertible matrices.

**Tues July 8**
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 9** Discuss syllabus and review.
Go over 59 b and 73 in Maple using Gaussian.
Review Elimination.
Hand out PS 1 Hints.
Go over text comments in Maple. 1.2 by-hand and on Maple.
1.3. Work on Gaussian together.
Begin 2.1.
Image 1
Image 2
Image 3
Image 4
Image 5
Image 6
Image 7.

**Thur July 10**
Go over 43 on the practice problems, including the geometry.
Continue 2.1. Powerpoint file
Continue with 2.2 html file.
Group Juggle.

**Fri July 11**
Do 2.3. Applications of the algebra of matrices. 2.5 on coding,
discuss regression line, and begin Markov/stochastic matrices and stability.