### Dr. Sarah's Math 2240 Class Highlights Spring 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 Apr 28 Hand back test 3 and discuss revisions. Discuss final project. Motivate Yoda via the data at the bottom of Tim's Page. Yoda in Maple.

• Wed Apr 30 Students present final project abstracts. Course evaluations.
• Mon Apr 21 Finish the problems from last week and go over them. Take questions on test 2 revisions or the test 3 material or study guide.

• Wed Apr 23 Test 3
• Mon Apr 14 Begin 6.1 and combine that with the previous material to complete 7.1 and 7.2. Review labwork on projections. Then use a worksheet to discuss other 2-D transformations via their algebra and geometry, and then look at diagonalizability. If time remains, begin Computer Graphics demo.

• Wed Apr 16 Take out the worksheet. Computer Graphics demo. In the process, discuss the importance of orthogonal matrices. Hand out problems.
• Mon Apr 7 7.1 and 7.2 by-hand.

• Wed Apr 9 Meet in 205. Continue 7.1 and 7.2. Work on Projection Matrices. If time remains, work on the problem set.
• Mon Mar 31 Test 2

• Wed Apr 2 Meet in 205. Begin the dynamical demo on ASULearn. Minoring or majoring in math. If time remains, work on the final project topic and abstract.
• Wed Mar 26 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. Take questions on the test. If time remains, give each person a few minutes to come up with 1 truth and 1 lie, like [I failed 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.
• Mon Mar 17 Collect the homework. Do 4.6. Pi Day info. Question. Go to 205. Examine ASULearn Solutions on the group problems and 4.4-4.6. Group work.

• Wed Mar 19 Meet in 205. 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 Mar 3 Finish 4.3 and begin 4.4 and 4.5. Write definitions in notes. Go over R^2 and then R^3. 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 Mar 5 Meet in 205. Finish 4.5. Go over ASULearn demo. Group work.
• Mon Feb 25 Hand back tests. Begin 4.2. Group work and 4.2 26 part b.

• Wed Feb 27 Continue with groups presenting their work. Discuss rotation matrices. If time remains, begin 4.3.
• Mon Feb 18 Collect problems in 4.1. Leading 1s. Hand back problem sets. Take questions on study guide or problem set. Geometry of determinants and row operations via demo on ASULearn. Coffee mixing problem and numerical methods issue related to decimals versus fractions. Proof Slide

• Wed Feb 20 Test 1
• Mon Feb 11 Finish chapter 3. Go over chapter 3 practice problems. Begin 4.1. Group Juggle.

• Wed Feb 13 Meet in 205. Vector combinations. Geometry of linear combinations.
• Mon Feb 4 Applications of the algebra of matrices. 2.5 on coding, discuss regression line, and begin Markov/stochastic matrices and stability.

• Wed Feb 6 Meet in 205. Discuss Markov/stochastic matrices problems and ASULearn Markov/Stochastic Demo for 2.5. Begin Chapter 3 in Maple via MatrixInverse command. Continue determinant work in the classroom.
• Mon Jan 28 Ask for questions as I call attendance. Collect practice problems. Go over 43 and 49 on the practice problems, including the geometry of 43. Where is North? Continue 2.1. Powerpoint file Continue with 2.2 html file.

• Wed Jan 30 Finish 2.2 and 2.3. Spacing activity.
• Wed Jan 23 Collect practice problems. Name history as Dr. Sarah looks through the problems. Finish 1.2 by-hand and review Maple. Go over 59 b and 73 in Maple using Gaussian. Go over learning evaluations. 1.3 (pics). If time remains, go over Image 1   Image 2   Image 3   Image 4   Image 5   Image 6   Image 7.
• Mon Jan 14 Fill out information sheet. Introductions. History of linear equations and the term "linear algebra". html of file. 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.

• Wed Jan 16 Discuss syllabus and review. 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. Hand out PS 1 Hints. Go over text comments in Maple. 1.2 by-hand and on Maple. Count number of letters in first name and pair up with someone who has the same number of letters and find something you have in common. Then share the names and the commonality. Work on Gaussian together.