MATH 313(S) Introduction to Number Theory (Q)
The study of numbers dates back thousands of years, and is fundamental in mathematics. In this course, we will investigate both classical and modern questions about numbers. In particular, we will explore the integers, and examine issues involving primes., divisibility, and congruences. We will also look at the ideas of number and prime in more general settings, and consider fascinating questions that are simple to understand, but can be quite difficult to answer.
Evaluation will be based primarily on performance on homework, projects, and exams.
Prerequisites: Mathematics 211 or 251, or permission of instructor. No enrollment limit(expected: 20). Students cannot enroll in both Mathematics 313 and 313T.
Hour: PACELLI

Not offered 2007-2008; to be offered 2008-2009
MATH 313T Explorations in Number Theory and Geometry (Q)
The main goal of this tutorial is for students to discover some beautiful topics of number theory and their connections with geometry. Here we will explore how the rational numbers sit within the real number line and how geometric observations lead to number theoretic insights. We will also introduce elliptic curves and consider the fundamental algebraic issues surrounding them. Our objective is not only to develop an understanding and appreciation of interesting areas of number theory but also to create and critically analyze original mathematical ideas.
Format: Tutorial. Evaluation will be based primarily on performance on written work, oral presentations, and examinations.
Prerequisites: permission of instructor (no number theory background required). Enrollment limit: 10 (expected: 10). Students cannot enroll in both Mathematics 313 and 313T.

BURGER