Department of Mathematics and
Computer Science
Carleton College
Northfield, MN 55057
(507)646-4333
skennedy@mathcs.carleton.edu
Matheater Papers and Plays:
Can Machines Have a Soul? Alex
Everyday Experiments: What Time Travel Brings to Science Plays
Annelise
Priority: A Tale of Calculust Andrew, Tom, John
Recognizing Prominence: A Creative Look at the Lives of Henry Gerber,
Richard Grune, and Marsha P. Johnson Cassie
Human Logic: Fallacies and Cheaters Eric
Creativity and Intelligence: Conflict at the Core
of Problem Solving Katherine
Fractals and Drawing the Fern (notes) Kristen
Fractals (the presentation) Kristen
Bright Laura H.
Breakdown Laura S.
Beautiful Minds: Creative Individuals in Fiction Lauren
Theater for the Emotions Leah
The Staging of Michael Frayn's Copenhagen Lizzie
Drawing of stage.
Bodies Matter: How the Turing Test is too Narrow. Lucy
The Importance of Science Plays to the Artistic,
Scientific and General Community Robert
Mechanized Music and Modern Society Teddy
A Bit Rocky Thomas
Sex, Religion, and Genius: Snoo's Muse Wade
The Seafaring Life of Galileo Rachel
Schedule for Fall Term '98:
Number Theory MWF 3a.
Office (CMC 225) hours are Monday and Wednesday 12:30-2:00, Tuesday 3-4,
and by appointment.
Math 312--Number Theory Info:
Syllabus (dvi version).
Problems 1--29 (dvi version).
Problems 30--61 (dvi version).
Problems 62--90 (dvi version).
Problems 91--125 (dvi version).
Day 1 Blank Table (LaTeX version).
Day 1 Blank Table (dvi version).
Chapter 1--LaTeX file
Chapter 2--LaTeX file
These last two are daily notes samples, scribes please consult for style
conventions.
Math 312--Our Book:
Table of the integers 1 through
400 with their prime factorizations, the sum of their divisors, expressed
as sums of squares, and as sums of primes.
Chapter 1. Elementary facts
about positive integers.
Chapter 2. The beginnings of
divisibility (Other than "indivisibility," can you think of a word with more
i's than this?) theory and some random interesting facts about triangular
numbers, Pythagorean triangles, and perfect numbers.
Chapter 3. Mersenne and Fermat
primes, nailing down the square triangles, counting primes, and considering
polynomials that generate them.
Chapter 3.5 A characterization
of all abundant numbers with fewer than four factors.
Chapter 4. Pythagorean triples,
introduction to congruence, solving linear congruences and systems of them.
Chapter 5. The distribution
of primes, Fermat's Little Theorem, and sundry other good stuff.
Chapter 6. The proof of the
Chinese Remainder Theorem, Wilson's Theorem, multiplicative functions.
Chapter 7. Euler's phi function
and Bertrand's Postulate.
Chapter 8. Some notes on the
exam and primitive roots.
Chapter 9. Some elementary group
theory, stuff about primitive roots, quadratic residues, and final exam topics.
Chapter 10. The Law of Quadratic
Reciprocity and sums of two squares.
Math 241--Chaotic Dynamical Systems:
Iteration Code.
Britt's Cool Chaos Class C Code (for NeXTs).
Newton's Method Mathematica Code for Cubics.
