MATH 32B
Calculus of Several Variables
Description: Lecture, three hours; discussion, one hour. Enforced requisites: courses 31B and 32A, with grades of C- or better. Introduction to integral calculus of several variables, line and surface integrals. P/NP or letter grading.
Units: 4.0
Units: 4.0
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Most Helpful Review
Fall 2025 - I would definitely recommend taking this class with Professor Kashefi! His class was very manageable and straightforward as well. In his lectures, he would present us with concepts, formulas, go through proofs at times, and apply the concepts using MANY examples. Homework is assigned, but you don't have to turn it in for a grade. Your grade is solely based on three midterms and a final (he does have eight different ways of computing your grade and will use the method that gives you the highest grade possible). His exams are very manageable (in lectures, Professor Kashefi sometimes mentions that he would give us a similar example on an exam) and as long as you practice the examples from your notes often/understand and frequently reviewer your notes and do your homework, you should be fine!! I really liked Professor Kashefi's style of teaching as well. He is laid-back and a bit quirky too! At times, his lectures would be a little confusing as he wouldn't specify something/be rushed, but if you go to office hours or ask your TA (or review your notes on your own), you'll be able to figure it out. Overall, I think this class was very manageable because of Professor Kashefi and I would definitely take another class with him again!
Fall 2025 - I would definitely recommend taking this class with Professor Kashefi! His class was very manageable and straightforward as well. In his lectures, he would present us with concepts, formulas, go through proofs at times, and apply the concepts using MANY examples. Homework is assigned, but you don't have to turn it in for a grade. Your grade is solely based on three midterms and a final (he does have eight different ways of computing your grade and will use the method that gives you the highest grade possible). His exams are very manageable (in lectures, Professor Kashefi sometimes mentions that he would give us a similar example on an exam) and as long as you practice the examples from your notes often/understand and frequently reviewer your notes and do your homework, you should be fine!! I really liked Professor Kashefi's style of teaching as well. He is laid-back and a bit quirky too! At times, his lectures would be a little confusing as he wouldn't specify something/be rushed, but if you go to office hours or ask your TA (or review your notes on your own), you'll be able to figure it out. Overall, I think this class was very manageable because of Professor Kashefi and I would definitely take another class with him again!
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Fall 2025 - No graded assignments, no notecards, no lecture recordings, just 3 midterms and a final. Although no lecture recordings didn't really matter because I think attending lectures made me understand less. I think he forgets that he's teaching people who haven't taken this class before. The first midterm was easy, everything else was awful. I kept running out of time because he crammed so much into each test. I had a B- before curve, A- after. Class avgs were 51/60, 34.5/60, 44/60, final avg not given. Don't take this class lol
Fall 2025 - No graded assignments, no notecards, no lecture recordings, just 3 midterms and a final. Although no lecture recordings didn't really matter because I think attending lectures made me understand less. I think he forgets that he's teaching people who haven't taken this class before. The first midterm was easy, everything else was awful. I kept running out of time because he crammed so much into each test. I had a B- before curve, A- after. Class avgs were 51/60, 34.5/60, 44/60, final avg not given. Don't take this class lol
Most Helpful Review
32B is probably the hardest lower div math class. The class is very abstract in a sense, because it requires you to be able to visualize in 3D in order to do the problems. Integration is also not a very easy concept in calculus, so if you had problems with it in other calculus classes, this class will be hard. Kucherenko does have an accent, but I feel like she did a good job covering the material and trying to explain things the simplest way possible. IN the beginning she would do some proofs and go over the concept, then do examples. Her lectures are very organized. Her midterms were pretty hard, and her final was pretty hard too. She's definitely NOT an easy teacher... but if you practice from the book and review everything before the tests you should be ok. 32B is about twice as hard as 32A, and it does require you to get a solid grasp of the concepts and know what you're doing rather than just blindly doing problems. If you don't know what you're doing and why you're doing it, this class will make you suffer. Final grade in class: A
32B is probably the hardest lower div math class. The class is very abstract in a sense, because it requires you to be able to visualize in 3D in order to do the problems. Integration is also not a very easy concept in calculus, so if you had problems with it in other calculus classes, this class will be hard. Kucherenko does have an accent, but I feel like she did a good job covering the material and trying to explain things the simplest way possible. IN the beginning she would do some proofs and go over the concept, then do examples. Her lectures are very organized. Her midterms were pretty hard, and her final was pretty hard too. She's definitely NOT an easy teacher... but if you practice from the book and review everything before the tests you should be ok. 32B is about twice as hard as 32A, and it does require you to get a solid grasp of the concepts and know what you're doing rather than just blindly doing problems. If you don't know what you're doing and why you're doing it, this class will make you suffer. Final grade in class: A
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Most Helpful Review
Winter 2020 - Sangchul is probably one of the best math professors I have ever met at UCLA. Although he just received his Ph.D. in 2019 and became a first-year lecturer, he really knew how to be a good teacher: he gave clear lectures, detailed lecture notes, and extra office hours. Whenever I have questions and emailed him, he would reply within a day with very detail explanations (even with graphs!). Midterms were fair and easy and the final was long and hard (but it is open book, open notes, and you have a whole day to complete the exam). I believe no professor else would be such cute to draw smiley faces in lecture notes and such kind to give more than one practice test before examinations. 32B is a very hard class, and Sangchul has made it much easier for me. Definitely choose him if possible! Overall: 5 Easiness: 4 Workload: 5 Clarity: 5 Helpfulness: 5
Winter 2020 - Sangchul is probably one of the best math professors I have ever met at UCLA. Although he just received his Ph.D. in 2019 and became a first-year lecturer, he really knew how to be a good teacher: he gave clear lectures, detailed lecture notes, and extra office hours. Whenever I have questions and emailed him, he would reply within a day with very detail explanations (even with graphs!). Midterms were fair and easy and the final was long and hard (but it is open book, open notes, and you have a whole day to complete the exam). I believe no professor else would be such cute to draw smiley faces in lecture notes and such kind to give more than one practice test before examinations. 32B is a very hard class, and Sangchul has made it much easier for me. Definitely choose him if possible! Overall: 5 Easiness: 4 Workload: 5 Clarity: 5 Helpfulness: 5
Most Helpful Review
Winter 2018 - I'm writing this before the final grades are posted, just trying to avoid possible bias based on a letter grade. Professor Liu has his styles, which is like "computation with tricks" and "inspiration", and you would agree with me if you have attended his lectures and seen the test problems. He always said "this is nothing but just ..." when emphasizing an important concept or a kind of abstract notion in lectures, not so hard to follow. He has accents, for sure. But such pronunciation problems only have minor influence on the lectures as a whole as long as you do not fall sleep and miss something in the transition from one idea to another. The grading scale seems kind of harsh; after all it is a lower division math class: Scheme A: 10%HW + 40%Midterms + 50%Final ( you may find it really easy to understand your final raw score for this course since Prof. Liu gives 2 midterms of 20 points each and a final of 50 points). Scheme B: 10%HW + 90%Final (Final is really hard, not just cumulative in contents covered, but also "tricks". Fortunately, in lectures he covered most of his "tricks" appeared in tests problems. If you find something really tedious to compute, then please think of some "tricks" you may be not so familiar with.
Winter 2018 - I'm writing this before the final grades are posted, just trying to avoid possible bias based on a letter grade. Professor Liu has his styles, which is like "computation with tricks" and "inspiration", and you would agree with me if you have attended his lectures and seen the test problems. He always said "this is nothing but just ..." when emphasizing an important concept or a kind of abstract notion in lectures, not so hard to follow. He has accents, for sure. But such pronunciation problems only have minor influence on the lectures as a whole as long as you do not fall sleep and miss something in the transition from one idea to another. The grading scale seems kind of harsh; after all it is a lower division math class: Scheme A: 10%HW + 40%Midterms + 50%Final ( you may find it really easy to understand your final raw score for this course since Prof. Liu gives 2 midterms of 20 points each and a final of 50 points). Scheme B: 10%HW + 90%Final (Final is really hard, not just cumulative in contents covered, but also "tricks". Fortunately, in lectures he covered most of his "tricks" appeared in tests problems. If you find something really tedious to compute, then please think of some "tricks" you may be not so familiar with.
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