Equal-sum partitions, Egyptian fractions, and the statistics of politics

Includes bibliographical references (leaf 49)The following is a requirement for the Master of Science in Mathematics for Educational Careers. This program requires the development of a project for each of the following I-year courses: Math 510- Algebra and Number Theory, Math 511- Linear Algebra and Geometry, Math 512- Concepts of Analysis, Math513- Discrete Mathematics, and Math 514- Probability and Statistics. The work contained in this thesis consists of three complete projects: Equal-sum partitions, Egyptian Fractions, and Politics ,Blue or Red, and two project summaries: Discovery Lessons in Calculus and Pythagorean n-tuples. Work on the first two projects was further developed after all coursework was completed and constitutes the most important part of this thesis. All the results in Equal-sun partitions and Egyptian Fractions are original. (See more in text.