MTHT 467

Introduction to Number Theory with Applications Spring 2012
M 3:00 - 4:30, W 3:00 - 4:00, F 3:00 - 4:30 600 SEO
Instructor Bonnie Saunders TA Gail Tang
Online materials:
Most of these files are designed to be printed double-sided.
May 1 This file contains all the extra supplements for the course. It may take a while to download. Introduction to Number Theory with Applications to Middle School Mathematics and Cryptography
April 8 Prime Numbers from 2 to 9973
April 8 Notes from Jessica and Miriam April 6
April 4 EXCEL tables: mod powers
April 2 Power Cipher Table mod 26
April 2 primes to 10,000 charts
April 8 NEW EXTENDED VERSION! Chapter 10 Power Ciphers
March 26 New Schedule
March 6 Chapter 6 from CME Algebra I
March 4 Chapter 8 Modular Arithmetic
March 4 From The Cryptoclub: Chapter 16 finding Prime Numbers
February 24 Answers for lcm and Chinese remainder problems
February 22 Combination Chart EXCEL file
February 20 Chapter 7 Combination Charts
February 16 From Math in Context: Looking at Combinations
February 13 Answer Key for Midterm
February 13 Class Schedule Feb 13 - March 17
February 13 From The Cryptoclub: Chapter 11 Modular Arithmetic
February 13 From The Cryptoclub: Chapter 12 Applications of Modular Arithmetic
February 13 From The Cryptoclub: The Workbook optional -- don't print unless you know you want it.
February 10 Chapter 6 Factoring
February 10 From The Cryptoclub: Chapter 9 Factoring optional -- don't print unless you know you want it.
February 1 more pages -- extra handouts in class often come from this pdf file
January 30 Chapter 5
January 23 Why does a negative 3 a negative = a positive? by I. M. Gelfand
January 23 Chapter 4
January 19 Charts for Octaland Arithmetic
January 18 Chapter 3
January 18 Class Schedule
January 9 Maneuvers on Number Lines by David Page
January 9 Chapter 2
January 9 Chapter 1
January 9 Table of contents
January 9 Course Description

This problem-based course presents classical topics of elementary number theory and how they pertain to teaching the elementary and Junior High School mathematics. Topics include prime numbers, GCF, LCM, division algorithm, Euclidean algorithm and the extended Euclidean algorithm, the Little Fermat Theorem and RSA encryption. Several applications, including cryptography, will be presented using middle grade materials. The course prepares the teacher for using the CryptoClub materials with middle grade students and offers amble time for discussion of a variety of issues in teaching elementary and middle grade mathematics.

Required materials:
The Cipher Handbook: 
by Janet Beissinger and Bonnie Saunders.
This book is available for purchase in the UIC Bookstore.
TI-83/84 or TI-83/84 Plus or equivalent graphing calculator.

Recommended:
The Cryptoclub:  Using Mathematics to Make and Break Secret Codes
by Janet Beissinger and Vera Pless.
Workbook for The Cryptoclub:  Using Mathematics to Make and Break Secret Codes
by Janet Beissinger and Vera Pless.  You may download this for free from the A.K. Peters website.

Links to online activities:
CryptoClub: Desert Oasis
A game for learning and enjoying Caesar Ciphers. This game is still in the pre-alpha stage. We appreciate it if you do not share this link with others.
The CryptoClub Webpage

--Last updated January, 2012 by Bonnie Saunders