Number theory, the study of properties of integers, has attracted the interest of mathematicians for over 4000 years. This branch of mathematics continues to be an area of intrigue and active research. For some, the attraction is the possibility of solving a problem that has remained unsolved for hundreds of years; for others it is the pure beauty of a branch of mathematics where the basic concepts are easy to understand, yet the techniques are deep and intricate. Number theory is routinely applied to cryptography, a field which helps insure the secure transmission of information over the Internet. In this course, students learn about unique factorization, the Euclidean Algorithm, congruence arithmetic, the Fermat/Euler Theorem, Diophantine Equations, Fibonacci Numbers, continued fractions, and quadratic reciprocity. Students will be given the opportunity to explore a subtopic of their choosing in greater depth as a culminating project for the course.
at the time of application
on the first day of session
Completion of an algebra course.