Problem Solving I

Course Description

This is a course on mathematical problem-solving methods and techniques. Throughout the quarter, we will examine a number of problem-solving techniques (e.g. symmetries, invariants, coloring arguments, parity, recursive arguments, isomorphisms, inclusion-exclusion, etc) and how they can be used to solve various kinds of mathematical problems.

Because the best way to learn these techniques is to work with them, this course will be heavily centered around student work and problem-solving. In particular, there will be relatively few ``standard'' lectures in this class, as most if not all class periods will be dominated by student presentations and collaboration.