GI Biopsy Crash Course

Geometric Quantization; a Crash Course

Early in 2011 Sam Evens acting on behalf of the organizers of a summer school on quantization at Notre Dame asked me to give a short series of lectures on geometric quantization. These lectures were meant to prepare a group of graduate mathematics students for talks at the conference on quantization which were to follow the summer school. I was told to assume that the students had attended an i...

A crash course in probability

A Crash Course in Feedback Control

This paper presents an overview of a recently designed and implemented introductory course on feedback control amenable to traditional and nontraditional audiences. The course material is based on fundamental concepts in dynamical systems, modeling, stability analysis, robustness to uncertainty, feedback as it occurs naturally, and the design of feedback control laws to engineer desirable stati...

Programming for physicians: A crash course

In a previous article, I explained why physicians might want to learn computer programming.[3] Afterwards I received many email messages by medical students and residents asking for advice on how to proceed. They showed interest in computer programming, and some of them were already doing this in one way or another. It also got a little press attention, which demonstrates that the “programming ...

A Crash Course on Partial Differential Equations

Partial differential equations (PDEs) are differential equations in two or more variables, and because they involve several dimensions, solving them numerically is often computationally intensive. Moreover, they come in such a variety that they often require tailoring for individual situations. Usually very little can be found out about a PDE analytically, so they often require numerical method...