As part of my duties as a graduate student at the University of Chicago, I was a College Fellow (teaching assistant) for one year and a Lecturer for a little over four years. University of Chicago follows a quarter system, so each of the courses I taught was one quarter long.

I used the following techniques as a teacher:

• Cold calling: Calling on individual students to respond to my questions without their volunteering to answer.
• MCQ class quizzes: MCQ-based class quizzes due almost every class.
• Error-spotting exercises: Review sessions for the midterms and finals involved getting through sheets with error-spotting exercises in them.

I taught the following five distinct course types. Follow the links to get my most recent lecture notes and material on the course. Note that the descriptions below are not official descriptions, but my own summaries:

• Math 151 (once): This is a first course in calculus for people strong in precalculus. The course covers the basics of limits, differential calculus, and applications of derivatives.
• Math 152 (once as part of 151-152-153, twice as an opening course): There are two versions of the course. One is as part of a 151-152-153 sequence. This version continues where 151 left off, completing applications of derivatives, and then proceeding to integration and its applications. Math 151 and 152 together are equivalent (syllabus-wise, not credit-wise) to the Advanced Placement AB curriculum. The starter 152 is intended for people who come in with some prior calculus credit or placement test performance, and includes a quick review of limits and differentiation before commencing on integration.
• Math 153 (once as part of 151-152-153, twice as part of 152-153, once as a standalone course): This course covers advanced integration techniques (radicals, partial fractions, integration by parts) plus sequences and series, culminating in Taylor series and power series. Roughly, it corresponds to material in the Advanced Placement BC curriculum that is not in the AB curriculum. There are slight differences in the course structure based on whether it is taught as a first course or as part of a sequence, but the list of topics is the same.
• Math 195 (twice): This is a multivariable calculus course based on Stewart’s multivariable calculus text. However, it is targeted at social scientists. It is therefore focused more on the algebraic than the geometric and physical aspects of multivariable calculus (in particular, there is no discussion of curl, divergence, gradient, and related ideas).
• Math 196 (twice): This is a linear algebra course based on Bretscher’s text. It is targeted at social scientists. This was one of the most interesting courses to teach.