Number theory, the study of properties of integers, has attracted the interest of mathematicians for over 4,000 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 also important for its applications in cryptography, which is routinely applied to ensure 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 part of a culminating project of the course.
Scheduled Class Time*
08:00 AM - 11:00 AM (PDT)
*The course will meet for two hours daily (Monday–Friday) for a live class during this window of time. The exact time will be set closer to the program start. In addition to the live meeting times, students will engage in out-of-class learning assignments such as assigned readings, group work, pre-recorded online lectures, and more.
Participants should have completed an algebra course.