It's...okay. As a class, pretty easy: homeworks were not especially time-consuming or difficult, and the exams were all very straightforward. That being said, it doesn't feel like we learned much at all? Most of the course felt like essentially different ways to dress-up a partial derivative, maybe plus a cross product if you're feeling spicy. If you handed an above-average 32A student our formula sheet and gave them our final, they would honestly probably pass. No other major downsides, the lectures were okay (lots of examples, some neat drawings), but I do feel somewhat let down by this course as an elective. This class only talks about curves and 2-manifolds, so do keep that in mind.

I enjoyed the content of this course, and I thought the course was well-organized and enjoyable overall. Lectures were a bit dry, and the professor seemed unconfident (despite rarely making any actual mistakes). However, they were clear and easy to follow as well. I enjoyed the homework, and thought exams were fair. I would have enjoyed it if the class were a bit less computational and a bit more proof based.

Professor Varvarezos's 120A feels like a lower-division class, in both material learned and also easiness. I did not learn much from this class as I would have wanted about differential geometry besides computations and brushing up on differentiation and picturing three-dimensional spaces, since that was primarily the highest dimension that we studied. He spent much of class getting caught up in the details of differentiating functions, which is beneficial for most of the mathematics of teaching majors but was not the most helpful use of time to me, a pure math major. I would have appreciated more of generalization to higher-dimensional spaces or more topics in the vast field of differential geometry.