In the field of Mathematics, calculus is most students' first introduction to higher level thinking. It is somewhat like getting your math drivers-license. If calculus is akin to getting a drivers-license then real analysis is like building a car, and that is what we aim to do in this course. Using logic, and our knowledge of the real numbers, come with us as we construct definitions and proofs of limits, integration and differentiation.

This will be a very fast and intense introduction to the methods of modeling physical problems using ordinary and partial differential equations. Topics covered will include heat flow, wave propagation (in one and two dimensions), equilibrium equations and the Schrodinger equation (time permitting, so be on time!)