In this upper-division math course, we'll study standard topics in Combinatorics, the mathematical study of arrangements and, especially, counting. We'll learn basic counting techniques, briefly apply those skills to questions of probability, and then learn about generating functions and recurrence relations, two powerful techniques for solving counting problems. We'll cover other topics as time permits.
Students taking this course must have good familiarity with derivatives, integrals, Taylor series, and other standard topics from the first year of college Calculus.
Our work in this course will be fully in-person, but accommodations are available for students who cannot reliably attend class in person; please contact the faculty to inquire about arrangements.
This course is a standalone module in the Mathematical Systems program. To register, you'll need to contact the faculty to take this as a 4-credit module in that program.
Success in three quarters of Calculus is required; previous experience studying upper-division mathematics is recommended.
Contact the faculty to be enrolled in the 4-credit Combinatorics option in Mathematical Systems.
Upper division science credit will be awarded for work in this course.