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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 numbers and primes in more general settings, and consider fascinating questions that are simple to understand, but can be quite difficult to answer.
This course will be held virtually using an active learning method, an instructional strategy reversing the traditional learning environment by supplying instructional content outside of class time. This will include reading the textbook and completing problem sets prior to attending class. Class time will be spent clarifying concepts and working in small groups through challenging problems with the support of the professor, teaching assistants, and your peers. Building positive collaborative working relationships and public speaking skills will be added benefits of this class.
Format: lecture; This course will employ an active learning method rather than the traditional lecture. Please see the course description for details.
Grading: yes pass/fail option,
yes fifth course option
The course will be graded on a mastery-based system. The final course grade will be a combination of quarterly participation in self-reflections, daily reading assignments, and weekly problem sets.
MATH 250 or permission of instructor
All are welcome regardless of major or year. In case of over-enrollment, preference will be given to those needing the course for graduation.
This course requires working with various number systems, performing explicit computations, and proving mathematical results using logical reasoning practices.