Julien Dubedat

Took this class for a major requirement. Keep in mind that it is a month after school has ended and my opinions have mellowed. But I would not recommend Dubedat for Modern Analysis. The class is hard enough as is, and Dubedat is in all honesty a poor lecturer. It will be very difficult to keep up in the beginning; as the semester progresses, the flow of his lectures and his examples start to make more sense, but really only marginally. He says at the beginning of the course that the content follows the textbook very closely - for the most part, this is true. HOWEVER, the similarities begin and end at the lecture content. Homework sets are very difficult - he himself is not much help during office hours, and TAs cannot cover all of the homework questions during office hours. Another note about TAs - this will vary by semester, but my TAs were absolutely hellish when grading and did not return our homework grades until weeks or months after the fact, making it impossible to actually use any of their feedback. Exams were the worst experiences of my life. Midterm 1 was fairly manageable, but only because midterm 2 and the final were truly impossible to complete. You will feel demoralized after taking them, especially since there will be genius classmates who get near perfect scores. He curves them pretty generously - or at least fairly: divides by quartile, highest quartile is A/A…

The review of him below in Honors Complex Analysis class made me wonder if the person actually took the same class with me. Maybe he's trying to trick people. His writing is ineligible and the lecture is impossible to understand even on zoom. Believe me, I rewatched his lecture and still, there are a fair amount of parts that I couldn't understand what he is saying. He is obsessed with big O notation and gives very hands-wavy proof, which otherwise would be treated more rigorously. The practice problem sets in Shakarchi-Stein are terrible in my view and didn't definitely help me in properly training for basic concepts. I honestly skipped 1/3 of the lectures because I found no point in it. Also, it was very clear that he doesn't give a damn about this class

This class was probably one of the most painful experiences I have had at Columbia. Honestly, I am that kind of student who really tries to pay attention etc but I just dreaded our morning sessions with Julien. The syllabus itself is quite interesting, with many topics relevant to higher-level economics courses, so it's understandable this is a requirement for econ-math majors. Though the first part of the course can be very abstract, the optimization part is very interesting (and easier). However, Julien, despite probably being nice outside the classroom, is incredibly dry, does not say anything that isn't directly related to the class - not even good morning or "the class is over". If only this meant he was very pedagogical... Not at all: his blackboard method is frustrating, he barely uses any examples, and more generally is INCREDIBLY BORING. 90% of the time I left class feeling I hadn't learnt anything substantial. Furthermore, the weekly problem sets are extremely confusing and the averages were regularly below 65. I suppose this is because Julien demanded notions that were not properly covered in class, or also that the TAs were incredibly harsh graders. I understand that math is about precision, but how can the TAs ask for precision on topics that were absolutely not covered in class? It was a clear case of then the TAs have no idea of what is going on in the classroom…

Please take this course if you are serious about majoring in math. 1 Columbia University: Arts & Sciences Spring 2024 Course: MATHUN2005_001_2024_1-INTRODUCTIONTOMATHEMATICSPROOFS : MATHUN2005_001_2024_1 - INTRODUCTION TO MATHEMATICS PROOFS Instructor: Mu-Tao Wang

measure theory, some basic functional analysis stuff like Banach spaces, Hilbert spaces. Probability: laws of large numbers, central limit theorems, Markov chains, Brownian motions

Simply one of the worst math profs in the dept. Does not care about students or teaching and makes it clear he doesnt want to be there. Stands in front of the classroom and mumbles to himself quietly in french while he writes illegibly on the board. No one can hear or understand him and there is no lesson plan he mostly just goes through statments with no explination of why its true. I dont think you can really call him a teacher, most of the class leaves halfway through, one of those classes where you will be teaching yourself. Tried to complain to the department head but he is the department head fml.

The material of complex analysis is a fun counterpoint to what you learn in the real analysis sequence. Professor Dubédat is clear in lectures, and the textbook by Stein and Shakarchi is also quite nice for self-study (esp. in comparison to Rudin). The course moved at a leisurely pace (we only covered Ch. 1-3,7,9 + some of the appendix in the book) but this allowed for plenty of time to understand the material, which is a good thing since many of the basic results in complex analysis are quite beautiful. Overall in an underwhelming semester of Covid-uni this was a highlight. If you're a math major, definitely take this course rather than the 3000-level one, which is largely lacking in rigor.

This course is required for Econ/Math majors, and from what I'm told it can replace Modern Analysis for Math Majors. Apparently also some engineers take it for some reason or another. It is a mix of some real analysis, with a chapter or two of topology, and linear programming of the sort that would be seen in an operations-research type class. There are a lot of beautiful, incredibly profound results that come out of this course- but unfortunately, it is taught so poorly and the notes so worthless that only someone who is already very interested in math, or works very hard, will appreciate it. Everyone else will more likely hate this class for the amount of work it requires to understand, the uninterested teaching, and the frustratingly opaque and obscure book. Professor Dubedat is very smart, and was helpful during office hours before and after class, but clearly did not care at all about lecturing. His thick French accent, distracted mumbling, and uninterested approach to covering (or not covering) what was covered in the book meant that for the most part, the class was entirely self-taught. The notes used in class were almost entirely taken from the 'book'- Pinkham's incomplete, unclear, and almost entirely useless (more so for optimization than analysis, but still) set of lecture notes that he is attempting to publish or something. They are useless because they are often g…

Definitely doesn't hurt if you aren't familiar with proofs 1 Columbia University: Arts & Sciences Fall 2022 Course: MATHUN2005_001_2022_3-INTRODUCTIONTOMATHEMATICSPROOFS : MATHUN2005_001_2022_3 - INTRODUCTION TO MATHEMATICS PROOFS Instructor: Mu-Tao Wang

Measure Theory, Functional Analysis, Probability Theory