Catalogue
The purpose of this page is
twofold. One purpose is so that I can have a library of resources that I can
always find with short descriptions to help determine quickly if it is the
resource I am looking for or not. Another purpose is so that others might find
something here useful as well. Note that not all of these resources were
created by me; such resources are indicated by an asterisk (*). 



File/Type 

Description 



Worksheets 





Algebra Worksheet 1 [pdf]* 

Provides a good algebra review
for students of calculus and precaclulus. Emphasizes evaluation of functions,
solving for unknowns, evaluating difference quotients, simplification of algebraic
expressions, correct/incorrect section emphasizing common mistakes by
students. Requires knowledge of rules of logs and exponents. 



Algebra Worksheet 2 [pdf]* 

Provides a good algebra review
for students of calculus and precalculus. Emphasizes simplification of
algebraic expressions and solving for unknowns. Requires knowledge of rules
of logs and exponents. 



Power Point Presentations 





Cutting up the Two Holed Torus
(pc) [ppt] Cutting up the Two Holed Torus
(mac) [ppt] 

Mr. Super Torus Guy describes
how a two holed torus can be cut up, resulting in a polygonal representation.
The polygon is further cut and glued together to arrive at the standard representation
of a torus by an octagon with identifications. The torus is cut up three
different ways. The process is described both pictorially and algebraically. The original version was made on
a PC so I was able to color the MathType text white. The mac version has a
lighter background so the default, black MathType shows up. 



Implicit Differentiation [ppt] 

A short power point presentation
emphasizing the chain rule part of implicit differentiation. Compares the
derivatives of the top and bottom parts of the unit circle with implicit
differentiation of the formula x^2+y^2=4. 



Introduction to Circular
Functions [ppt] 

A three slide power point
presentation introducing circular functions. Watch a point travel around a
circle face on, from the side, and over time to trace out the shape of a
circular function resembling the sine/cosine functions. 



Computer Programs 





permutationreps [gi] 

This code, part of my MS project
is a program designed to run in GAP. The main idea is to run the function
PermReps(<group>, <prime>) with an input of a group (from the
Atlas library) and a prime. The function then returns a redundant free list
of the simple modules (over the field of two elements) composing the
permutation representations of the group over the finite field of
characteristic prime containing all of the irreducibles. This code requires
the packages AtlasReps and Chop (which I believe is still a work in progress)
to run. I will potentially be updating this description and the code as I
continue work on my MS thesis. 



Let’s Make a Deal [exe] 

A simple program in C simulating
the famous Monty Hall Problem. Play the game yourself or choose from two
strategies (pick a door at random or always switch) and indicate the number
of games you want the computer to play for you. Summarizes your winnings at
the end of play. Will you win more cars or goats? 



Manipulatives 





Symmetries of the Square [pdf] 

Two folds of an 8.5x11in paper
gives a 5.5in square with colored corners on both sides to help study the
symmetries of the square. 


