Professor Kucherenko is a really nice lady and it is evident that she cares about her students. However, her class is quite difficult. The tricky questions and 50 minute time constraint made for some challenging tests, and subsequently, averages in the 50s for both midterms. 50 minutes for 6 involved problems just never seemed like enough. I walked out of both of those midterms thinking I had failed. And I nearly did. But so did many others, so it turned out to be okay. If you get a 60 on a midterm, don't freak out. The curve is your best friend here.
For each of the midterms she allows you to see your test after you take it if you go to her office hours. I did this for the first midterm and I got 7 extra points because of mistakes I found in the grading, so I would recommend doing that.
Another note - she puts up a practice midterm before each midterm and a practice final before the final. Plus detailed solutions. These were really helpful because they prepare you for the difficulty level of the tests to come. If you get a good handle on those it doesn't necessarily mean you would do great on the real things, but they are pretty similar.
The homework adds a nice little cushion to your grade, and in my case I think it was the difference between a B+ and an A-. But they were a little picky grading the homework, so it can actually hurt you if you try to BS it. I found my discussion very helpful for really understanding the material and asking homework questions. It seems that maybe others weren't so lucky with their TAs which is unfortunate.
Her lectures were good, a little hard to understand the first few times, but only because of her accent. I think you could skip lecture and still do good in the class though. As long as you have no problem reading the book.
All in all a very good, but challenging professor. Couldn't really ask for more. Final grade: A-.

Kucherenko is an excellent lecturer, and as long as you keep up with the homework and attend lecture, you won't fall behind. The exams were pretty difficult, but as long as you get above average (which was in the 50's for both midterms), you're guaranteed at least a B. The final, for this quarter at least, was not cumulative. Homework is on average about 3 hours per week. Discussion is not mandatory and is just review- I found them rather unhelpful, possibly because of my incompetent TA.

Overall, I do recommend her, however you should be ready to study hard and still receive a mediocre grade.

I quickly grew to adore Prof. Kucherenko and her adorable accent (she was also pregnant for most of the fall quarter, and it was interesting to watch her grow). Her lectures were well-paced and organized, and she was always open to questions during lecture and made sure to explain some concepts or steps as well as she could. She was also very approachable during office hours and even right after class, for those quick questions from homework. I found her tests-- 2 midterms and a final-- pretty challenging. Definitely study the practice exams (I made the mistake of studying all the chapters covered for the final, which wasn't really cumulative.. at all). I'd like to say her tests have some evil curveball questions compared to the other 31B teachers' exams (one friend of mine had Moschovakis, the other Khan, and their tests were pretty straightforward compared to mine), so definitely know how to solve the more difficult problems from the book. Challenging class, definitely required a lot of work, but a pretty good professor and class. Do make sure to look at your exams in case they were graded incorrectly. I never contested my scores, which was a dumb thing to do in retrospect, but other classmates did and it really helped them. Final Grade: A

Normally, my philosophy is that math is math. I learn from the book and exercises. However, the lectures I did attend were about as interesting as a math lecture can be. I'm sure all the professors here know their math, so the only separating factors are lecturing and grading. Kucherenko puts a lot of personality into her lectures and I thought her accent was more entertaining than it was confusing. As far as grading, homework is due once a week and worth 10-20% I don't remember exactly. There are no quizzes, two midterms and the final. The tests will be slightly more complicated than the homework but she gives practice tests if you want to use them. You are not required to attend discussion or lecture, simply to show up and turn in homework every friday. For the tests, she gives partial credit but also takes partial credit away so make sure to show your work. I found the right answer to a problem and only got 3/15, but that was my only complaint. Also make sure to look over your test in her office hours. Two of my friends argued for 10 extra points that way.

I recommend taking Kucherenko if her class fits in your schedule but I wouldn't go out of my way unless you don't have any other decent options.