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

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

### 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

**2.5**10, 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**