### 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 June 24**
Keeping a racecar on a track.
Discuss Yoda via the file yoda2.mw with
data from Lucasfilm LTD as on
Tim's Page which
has the data.
Work on Test 3 revisions. Evaluations.
**Wed June 23** Test 3.
**Tues June 22**
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.
Take questions and
review.
**Mon June 21** Review Foxes and
Rabbits and Projection Matrices..
Move to the computer lab to complete
group work on chapter 7.
If time remains, then examine
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.

**Fri June 18** 7.2. Dynamical systems demo.
**Thur June 17** Test 2. Work on final project.
**Wed June 16** Continue chapter 7.
Clicker for Chapter 7. Foxes and
Rabbits demo. 7.2.
Review for test 2. Take questions.
**Tues June 15**
Review the Healthy Sick worker problem from Problem Set 3. Begin 7.1.
Complete geometry of Eigenvectors demo, and compare with Maple's
responses.
**Mon June 14** Review 4.4 and 4.5 perspectives. Do 4.6.

**Fri June 11**
Go over ASULearn demo on span and li. 4.5.
group work on span, l.i. and basis
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.
**Thur June 10**
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 June 9** Review 4.1 and continue with 4.2 and 4.3 via
group problems.
**Tues June 8**
Go over spacecurve command in Maple. Algebra and geometry of linear
combinations by a demo on ASULearn.
**Mon June 7** Test 1.
Geometry of determinants and row operations via demo on ASULearn.
Coffee mixing problem and numerical methods issue related to decimals
versus fractions.

**Fri June 4**
Clicker
Go over questions. Continue 4.1.
Geometry of vector combinations -
Return to the proof that there were 0, 1, or infinitely
many solutions to any linear system.
Examine the geometry in 2-D.

**Thur Jun 3** Finish the
Finish clicker questions:
Chapter 3 clicker questions
and finish 3.3. This is the end of the material for test 1. Begin
4.1.
**Wed Jun 2**
Finish the third clicker question:
Chapter 3 clicker questions
Begin Chapter 3 in Maple via MatrixInverse command and then determinant work.
3.1-3.3.
Chapter 3 clicker questions
**Tues June 1** Applications of the algebra of matrices. 2.5 on
coding, discuss regression line.
Clicker 2.5 question
Discuss
Markov/stochastic matrices problems in 2.5.
Mention solutions for these problems in 2.5.
Begin Chapter 3 via
Chapter 3 clicker questions
**Mon May 31** Finish
2.1 and 2.2 clicker questions.
Finish 2.2 and 2.3. Begin 2.5.

**Fri May 28**
Begin 2.1.
2.1 and 2.2 clicker questions
Image 1
Image 2
Image 3
Image 4
Image 5
Image 6
Image 7.
Powerpoint file.
Continue with 2.2 html file. If time
remains then begin 2.3.
**Thur May 27**
Go over 43 on the practice problems, including the geometry.
Go over text comments in Maple.
Gaussian clicker questions.
Traffic problem and
circuit in
section 1.3. Group Juggle.
**Wed May 26**
Take questions on the syllabus. Mention PS1 Hints.
Go over 59b and 73 in Maple using Gaussian.
Continue 3-D and
elimination.
clicker questions
Geometric perspectives in 3-D and solving using by-hand solutions,
and ReducedRowEchelon and GaussianElimination.
Go over learning evaluations.
**Tues May 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. Begin 3-D.
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.