Professor Gangbo is chill, and the workload for this class is much lighter than 245A by other professors. He is a typical professor who teaches throughout the 50 minutes class without trying to engage students, that doesn’t bother me at all since it’s a grad pure math courses to learn knowledge. I heard that he was not so clear in the last year, but from my experience, he is relatively clear on the materials when the class is online. The exams are not too hard, and the midterm is especially easy. I would generally recommend taking this courses with Professor Gangbo, since it might be easier to get an A (though grades doesn’t matter to grad students). He and the TA can be unnecessarily strict on minor things, but I guess that is how rigorous pure math works.

His lectures are just him reading proofs from the textbook, without adding much additional insight. This might've been bearable, but the textbook we used for about half the quarter was Fine Properties of Functions, which mentions in the preface that it is not a book for measure theory beginners. So yeah, prepare to come out of this class without a great understanding of the course material. The one nice thing about this class was maybe that his homeworks are biweekly and relatively easy, but that also meant I was woefully unprepared for the midterm and final.