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I took the course as complementary material to my vector calculus class, since I felt many things were skipped and not talked about in my class. I enjoyed that the course encourages you to do derivations and practice by yourself, however, I felt certain problems should have been talked about in the lectures.Vector calculus is a course that deserves more than 4 weeks, however I can understand the time requirements. So overall, the course is good but you will need other resources to fully understand some problems and derivations. For someone like me who was never introduced to Kronecker Delta, Levi Cevita and many many derivations, this was a rewarding but challenging course.

All in all well-run class. Videos were for the most part clear and well-diagrammed, and organized in a way that made sense. Got a good sense of the basics of vector calculus, since we used divergence/curl etc in problems repeatedly after we learned them.

Several sections relied on outside knowledge - for example, the applications to electric/magnetic fields, particularly in the fourth week, was really hard to understand for someone with only a Calc 2 background.

This class was a very interesting class, but that may be due more to the fact that I am very interested in math than to anything the instructor did. However, I would have appreciated if this class went into more depth about the more abstract, mathematical side of vector calculus, instead of being so laser-focused on practical applications.

A difficult course, especially week 3. Two lectures - 24 minutes - on line and surface integrals over vector fields is just not long enough - needs more intuition. I can recommend Clark Brays multivariable calculus book for the intuition. Still not sure how I scraped a pass - worth doing though and thoroughly enjoyed as always.

Lectures and accompanying pdf notes are clear, but proofs are sketchy. More worked examples would be helpful (perhaps in the accompanying pdf with solutions). Requires a solid background in linear algebra and calculus. Worth taking, particularly if you want to review this material.