## Dr. Sarah's Math 2240 Web Page - Spring 2001

E-mail Dr. Sarah with questions about these web pages.

## Contents

• Class highlights Includes nightly homework, and a day to day overview.
• Dr. Sarah's Office Hours
• WebCT Includes bulletin board and grades
• ### Projects

Final Maple Project DUE as a computer file by 10:30am Friday May 4 - Presentations 12-2 that day in usual classroom.
Maple .mws version of final project guidelines
html version of final project guidelines

Matrices in Teaching High School Algebra, html by Christian Smith and Julia Williams
Programming Matrices (Maple V), html by Chris Conklin and Kevin Yopp
Wavelets (Maple V), html by Jonathan Hardin and Brent meadows
Game Theory (Maple V) by Adrienne Lafone and Maggie Wall
Matrices and Rubik's Cubes (Maple V), html by Shannon Pruitt
Matrices and Coding (Maple V), html by Jason Blalock and Merlin Tilley
Matrices in Geometry (Maple V), html by Tamara Couture and Erin Hartsell
Applications to Genetics (Maple V), html by Henry Blackford
Gershgorin Circle Theorem (Maple 6), Maple 6 saved as Maple 5 (must be converted back to Maple 6 to work), html by Tiffney Duke and Michael Robbins
Rotations and the Space Shuttle (Maple 5), html by Trevor Mcnellie and Erin Robertson

Test 4 on Chapters 1-4, Computer Graphics, 7 and related activities Tues May 1. Review sheet for test 4

Problem Set 7 Computer Graphics DUE Fri April 27- follow the guidelines since answers without explanation will receive no credit
6.5 13-18, 25, 32, 33
LAMP Section 4.1 Geometry of Matrix Transformations of the Plane p. 176 Problem 1 - Guess the Transformation, p. 179 Problem 8 - Square Roots, Cube Roots, ...
LAMP Section 6.4 Diagonalization and Similarity p. 290 Problem 7 Parts a, b, c, and d - Projection Matrices, Eigenvalues and Diagonalization p. 190 Problem 8 Parts a and b - Shear matrices, Eigenvalues and Diagonalization.
Extra Credit (Optional) DUE Friday May 4th LAMP p. 202 Problem 5: Flying along a curve in 3-space Partial credit will be granted.

Test 3 on Chapters 1-4, 7 and related activities Thur April 19 Review Sheet

WebCT quiz 3 Retakes DUE Wed April 18.

Problem Set 6 Eigenvalues DUE Fri April 13 - follow the guidelines since answers without explanation will receive no credit
7.1 (14 and 16 by hand and on Maple via the eigenvectors(A); command)
LAMP p. 254-5 Problem 3: Stochastic matrices parts a and b, Problem 4: Rotation matrices in R^2 parts a and c.
7.2 6, 16 and 22
LAMP p. 276 Problem 3: More foxes and rabbits (Predator-prey model)

Choice of Topic and Preliminary List of References for Final Project One topic per group of 2 - first come first served - DUE Fri April 6

Test 2 on Chapters 1-4 and related activities Tuesday March 27, review sheet for test 2 REVISIONS DUE Tues April 10

Problem Set 5 DUE MONDAY March 26th at 6pm (Follow guidelines in order to receive credit).
4.4 12, 16, (24, 26 do the problem and if the set is linearly dependent, show the dependence of one vector on the others), 43, 44, 53.
LAMP p. 72 Problem 11 This is worth A LOT MORE than the other problems. See ps4 solutions to LAMP p. 47 number 6. Use this and ideas in 4.1, 4.4 and 4.5 to do this problem.
4.5 16, 20, 22, 24, 44
4.6 18, 20, 22, 25, 27, 28

Problem Set 4 DUE FRI Mar 9th (See guidelines).
4.1 (32 by hand and on Maple), 35, 36, (38 by hand and on Maple)
LAMP p. 47 Problem 6
4.2 (19,20,21,22,23,24 if it is a vector space then just state that it is because it satisfies all of the vector space axioms , but if it is not, explain in detail by showing that one axiom is violated as in class), 31,32
4.3 (14 if it is a subspace then just state that it is because it is closed under addition and scalar multiplication, but if it is not, explain in detail by showing that one of these is violated, as in class) , 21, 22
LAMP p. 212 Problem 3

WebCT quiz on Ch 1-3 Thur Mar 8th - RETAKES DUE Fri March 30th
Test 1 on chapters 1, 2 3, and related activities Tuesday 20th. Review sheet Revisions due Thur Mar 1

Problem Set 3 DUE FRI Feb 16th (See Dr. Sarah's Problem Set Guidelines, and also see Dr. Sarah's solutions to PS 1 and PS 2 on WebCT as examples).
3.1 (36 by hand and on Maple), 43, 44, 46
3.2 (24 by hand and on Maple), 29 and 30
3.3 47, 48
3.4 (12 by hand)

Problem Set 2 More detailed write-up expected (see Dr. Sarah's Problem Set Guidelines, and also see Dr. Sarah's solutions to PS 1 on WebCT as an example).
2.1 28, 50 and (52 by hand and on Maple).
Lamp 3.3 p. 105 Problems 3 and 4
2.2 31 and 32
2.3 (12,14 by hand and on Maple), 28a, 37, 38
2.510, 16, 24
LAMP 3.4 Markov Chains p. 117 problem 3.
DUE Fri Feb 9

Problem Set 1
1.1 (24 on Maple), 56, 70,
1.2 For (30 and 32, do them by hand and also on Maple) (on Maple use no more than 2 commands to solve each problem), 42, 57, 58,
1.3 22, 24,
1.3 LAMP p. 24 Problem 3: Design a ski jump.
Be sure to show all work and write out your thoughts clearly, neatly and concisely.
Read all of the messages in the Problem Set Hints from on the WebCT bulletin board. DUE Fri 1/26