A semester-long course in analytical methods for advanced undergraduates and first-year graduate students in math, science, and engineering.
A semester-long course in numerical methods for senior undergraduates in math, science, and engineering. I developed an original curriculum for this course (including textbook-length lecture notes) and taught it at MIT in the Spring 2013, Spring 2014, Spring 2015, Spring 2016, and Spring 2017 semesters.
Student evaluations from past semesters of 18.330:
A graduate-level class covering a smattering of techniques of use in applied mathematics: classical and modern deterministic numerical calculus, stochastic numerical methods, optimization, numerical linear algebra, asymptotic analysis.
This is a course for which I have developed an original curriculum and am teaching in short-course format in January 2017; I hope to teach the course in full semester-long format sometime in the near future.
Targeted at senior undergrads and beginning grad students in science and engineering, the goals of the course are twofold: (1) to give applied-minded students a tour of the main research areas of modern pure mathematics---and thus a glimpse at some of the cool things their pure-math colleagues down the hall or across the courtyard are doing---both for the intrinsic beauty of the subjects in question and also in the hope that they may prove useful for applied problems; and (2) to demystify some of the more esoteric-sounding notions and terminology---such as short exact sequences, functorial properties, and cohomology---that students may have heard bandied about by their pure-math colleagues or seen in papers and textbooks, and which may have prevented them from benefiting from those conversations or textbooks, even though the underlying concepts are, in many cases, ideas with which any applied mathematician will already be familiar (just under different names). The course is heavily motivated by my own personal experiences, as an applied mathematician, with all of the situations described above.
In the Fall 2013 semester I taught recitation sections for MIT's advanced freshman course on multivariable calculus, for which I produce some simple problem-solving worksheets to guide the class discussion each day.
In the Fall 2012 semester I taught recitation sections for MIT's institute-wide sophomore-level course in differential equations.
Homer Reid's Teaching Page, by Homer Reid
|Last Modified: 03/06/17|