MATH 245A
Real Analysis
Description: Lecture, three hours. Requisites: courses 121, 131A, 131B. Basic measure theory. Measure theory on locally compact spaces. Fubini theorem. Elementary aspects of Banach and Hilbert spaces and linear operators. Function spaces. Radon/Nikodym theorem. Fourier transform and Plancherel on Rn and Tn.
Units: 4.0
Units: 4.0
1 of 1
Most Helpful Review
Fall 2024 - This course was amazing! I felt constantly challenged and learned a lot. Lectures were clear, insightful, and engaging. Homework assignments were excellent, and the lecture notes are textbook-quality. Examinations were fair, and feedback was prompt and thorough. A couple very small gripes: -In my opinion, we spent too much time on the section on h-rectangles, and cutting this would have made the rest of the course less rushed. -A few homework problems had some busywork that I didn't find helpful for learning. Overall, I very much enjoyed my time in this course and am excited for 245B!
Fall 2024 - This course was amazing! I felt constantly challenged and learned a lot. Lectures were clear, insightful, and engaging. Homework assignments were excellent, and the lecture notes are textbook-quality. Examinations were fair, and feedback was prompt and thorough. A couple very small gripes: -In my opinion, we spent too much time on the section on h-rectangles, and cutting this would have made the rest of the course less rushed. -A few homework problems had some busywork that I didn't find helpful for learning. Overall, I very much enjoyed my time in this course and am excited for 245B!
AD
Most Helpful Review
Fall 2020 - 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.
Fall 2020 - 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.
1 of 1
