Number Theory is the study of the integers and their properties. For thousands of years, the greatest minds have been working to produce what many consider to be some of the most elegant and powerful ideas in all of mathematics. Number Theory continues to be an area of active research, and with the increasing power and availability of computers, there have been significant developments in applications of number theory that would not have been possible even 50 years ago. Our overarching goal in this course will be to observe, investigate, conjecture, and prove the patterns and relationships we see occurring in the integers. By the end of this course, students should gain a deeper understanding of number theory, and gain valuable experience writing proofs, presenting solutions to mathematical problems, and communicating clearly with peers about mathematical concepts.
Scheduled Class Time*
04:00 PM - 07:00 PM (PDT)
08:00 AM - 11:00 AM (PDT)
*The course will meet for two hours daily (Monday–Friday) for a live online 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.
Completion of an algebra course.