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

**Thur Dec 3** Abstracts. Take questions about the final
project. Computer Graphics and keeping a car on a
track. Discuss Yoda via the file yoda2.mw with
data from Lucasfilm LTD as on
Tim's Page.
Course Evaluations.
**Tues Dec 1** Test 3

**Tue Nov 24**
Latex Slides
Review the transformations from the group work.
Show that a rotation matrix rotates algebraically as well as geometrically.
Review dilation, shear, and reflection. Discuss what transformation is
missing from our list.
Discuss latex.
Begin computer graphics demo via definition of
triangle := Matrix([[4,4,6,4],[3,9,3,3],[1,1,1,1]]);
and then ASULearn Computer Graphics Example D. Also look at
Homogeneous 3D coordinates and Example G.
Discuss final project questions and review.

**Thur Nov 19**
Begin Example B of Dynamical Systems and Eigenvectors (ie selections of 7.4).
Group work chapter 7 continued.
Take the ASULearn Anonymous Advice for Next Semester questionnaire.
If time remains,
examine the study guide
**Tues Nov 17**
7.2. Go over the
Group Work on Eigenvalues and
Eigenvectors

**Thur Nov 12**
Foxes and Rabbits.
Group work on eigenvalues and eigenvectors.
**Tues Nov 10** Collect and go over homework. Continue
7.1. Complete geometry of Eigenvectors demo, Foxes and Rabbits
demo, and if time remains, dynamical systems and eigenvectors.

**Thur Nov 5** Test 2.
**Tues Nov 3** Review and answer
questions.

**Thur Oct 29** Review the Healthy Sick worker problem from
Problem Set 3. Begin 7.1.
**Tues Oct 27**
Review
span and li and group work from lab.
Discuss if a vector w is a linear combination of vectors in V, then
adding w to those vectors will force the set to be not li (w=c1v1+...
means that 0 = -w+ c1v1+... so there is a nontrivial solution to the
homogeneous equation). On the other hand we have seen examples
where w is not a linear combination of vectors in a set, but
the set is not li.
Finish 4.5.
Revisit Problem Set 1 #5 (k problem) and examine the geometry of the rows
and the columns of the augmented matrix.
Do 4.6 and work on 4.6 numbers 22, 29, and 31.

**Thur Oct 22** Go over ASULearn demo on span and li.
group work on span, l.i. and basis
**Tues Oct 20**
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);

**Tues Oct 12** Present group problems and finish 4.2 and 4.3.

**Thur Oct 8**
Go over spacecurve command in Maple.
Algebra and geometry of linear combinations by a demo on ASULearn. Begin 4.2 and 4.3 by group problems.
**Tues Oct 6**
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.
Coffee mixing problem and numerical methods issue related to decimals versus fractions.

**Thur Oct 1** Test 1.
**Tues Sep 29** Review for test 1. Continue 4.1.

**Thur Sep 24** Continue 4.1
**Tues Sept 22**
Finish 3.3. **This is the end of the material for test 1.**
Begin 4.1.

**Thur Sep 17**
Meet in 209b.
Finish
Markov/stochastic matrices problems
Mention ASULearn Demo for 2.5.
Begin Chapter 3 in Maple via MatrixInverse command and then determinant work.
**Tues Sep 15**
Applications of the algebra of matrices.
2.5 on coding, discuss regression line.
Discuss
Markov/stochastic matrices problems.

**Thur Sep 10**
Discuss practice problems 2.1 number 32 and 2.2 number 35. Do 2.3.
**Tues Sep 8** Powerpoint file.
Continue with 2.2 html file. If time
remains then begin 2.3.

**Thur Sep 3** Meet in 209b.
Go over text comments in Maple.
Go over 43 on the practice problems on ASULearn, including the geometry.
circuit. Finish 1.3. Group Juggle.
Begin 2.1.
Image 1
Image 2
Image 3
Image 4
Image 5
Image 6
Image 7.
**Tues Sep 1**
Go over 73 in Maple using Gaussian.
Continue 3-D and Elimination.
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.
Section 1.3.

**Thur Aug 27**
Take questions on the syllabus.
Mention PS 1 Hints and
ASULearn messages. Go over text comments in Maple.
Go over learning evaluations.
Continue 3-D and Elimination.
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.
**Tues Aug 25**
Fill out information sheet
and work on introduction to linear algebra handout.

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.