Greene is very good at explaining concepts and problems and does not skip over details. All though she had a difficult time switching to online at first, she was very accommodating and gave ample time to complete the homework. The grade was solely based on homework, which you submit online and have no time limit on. Lectures are recorded. Overall she made a very difficult class pretty easy.

~Intro~
I had Professor Greene for the entirety of the Math 3 Series, and I also LA'ed for her Math 3B as well, so this review will cover the entirety of the 3 Series with Greene. If you take her Math 3B during Fall, then you won't have her again for 3C most likely.
But if you take her Math 3A during Winter, then you can finish the entire series with her, which is honestly pretty nice, because her teaching style and testing style is super easy to get a hang of.

~Overall~
Professor Greene is a terrific Professor. Her lectures, although dry sometimes, are exactly what you need to know for her midterms and finals. Like literally, her tests are the examples she goes over in class with some numbers changed. It isn't too difficult to do well.
And as per standard in the Math Department, she'll drop the lower of the two midterms and tack it on to the Final. And she also has weekly homework sets due, but they aren't that hard, except for a couple of questions at the end that can be quite challenging, but still easily doable.

~Section~
I'm not sure if she is still doing this, with the online format and everything, but she made Discussion Sections mandatory which is a bit out of the norm for a math class, but in the end it's a free 10% of your total grade just for showing up to section.

~Math 3C with Greene~
As for Math 3C, I believe Greene only teaches it during Summer, and honestly it's a much different class than 3A and 3B, and during the fast paced Summer, it can be a little overwhelming, as you cover a variety of topics such as probability, eigenvectors, linear algebra, etc. It has a ton of material packed into the short 6 weeks and the final ends up being all over the place, but she lets you take in a cheat sheet to the final for 3C, so it ends up being okay.

~Professor Greene~
At times she can be kind of witty and make random jokes, which helps wake you up during her 9 AM lectures. That being said, if you commit to having Greene for the entire 3 Series, she only teaches it at 9 AM, which is better than an 8 AM, but still kind of trash especially since you'll have to do it for 2 quarters (winter and spring)

~Conclusion~
Professor Greene is a great professor to commit to for the 3 series. I think the 3 series content isn't too difficult, but it can be a bit different and random and can take you off guard if you don't study for it (ie semi-logs, eigenvectors, infusion rates etc). This series is easier than the 31 Series, but unlike the 31 series, a lot of the topics don't really build off of each other, which can be a good or bad thing depending on how much you study. But, Professor Greene makes the content pretty formulaic and you literally, and I mean literally, just have to memorize the process of what to do, as her tests are exactly the same thing as her examples with numbers changed here and there.

From what I have heard, Professor Greene is the best professor for any course in the Math 3 Series. In my experience, she lives up to her reputation pretty well. She drops your lowest homework and quiz score, and also has two different grading schemes that give you even more opportunity to do well in the class. She also provides you with practice exams, which are very reflective of the material she puts on her actual tests. That being said, her tests don't give much room for failure (a loss of one point has a pretty substantial affect on your grade), and her office hours weren't well-structured, which made getting your questions answered difficult. As somebody who did well in AP Calculus, I found this class to be mostly of a review of high school material. My TA was Louis, and he was such a gem! Overall, I would definitely recommend Professor Greene to anyone needing to take this course.

Professor Greene was an incredible teacher. I always felt welcomed in her class, and she always slowed down to ensure student learning and explained difficult topics. She was understanding of our workload, and her assignments were always reflective of what we had learned. Her teaching style was great, and she was very organized. She made learning math fun and easy, and if I needed to take another math class, I would take it with her. I appreciate her genuine passion for teaching and care for her students, and she made my spring quarter very enjoyable in this class.

*** COVID-19 Review ***
Greene is really good at actually explaining the math we're working on and goes over a lot of examples. I found it very easy to follow her lectures. She does give homework through Sapling, but you can easily get the answers for it and it's hard for that to knock your grade down.
Apart from that, she was a bit of a hot mess which is why I knocked down her ratings. She originally said no exams and then added them, and there were multiple moments where she changed the exam as students were taking them (however she gave me a 100% because of all the issues). She is a very sweet lady, and I know that the transition was especially rough for her and she had a lot on her plate, but beware.
You will be able to get an easy A in this class, but do not let it trick you. Be attentive if you need to continue to Math 32A, because it is easy to just stop paying attention and still score well.

I took this class as Math31A in Summer 2020. The professor is really generous with grades and does not give impossible tests (mostly they’re easy but certain questions are hard but since we are in quarantine we used the app sapling to do tests and it was pretty easy as it gave us more trials). She is also really understanding (I misunderstood something and forgot to submit my work but she let me resubmit it).
Coming to the cons, her explanation was not really understandable at some points (Hard concepts) and was kinda messy. Sometimes, she would explain really briefly in class but the hw would be harder, things she didn’t discuss in class. The TA’s (Harris) was amazing and was really helpful in office hours(legend). He gave so many office hours and gave review questions which were kinda harder than the test but were helpful to get a strong understanding. Overall, most of us got As (the average was 94) but at some point I had to work hard to understand and the workload was kinda tough. If you would like to guarantee a good grade and are welling to work hard, take it.

Let me tell y'all. I would NEVER recommend her for anyone who hasn't already taken AP Calculus AB and understood the concepts. I went in knowing little-to-nothing, with only a background in pre calculus, and went out of the class knowing little to nothing. Do NOT take this class unless you already know calculus.

Amazing professor. Doesn't make calculus incomprehensible with random proofs or endless babbling, but rather makes every concept crystal clear. Office hours are always filled with students as she is very approachable and helpful (and does not make you feel dumb for asking "dumb" questions"). Tests and homework are VERY fair, and you will learn. Highly recommend!

Professor Greene is an absolute gem! Her lectures can be a little dry sometimes, but they are really helpful for the homework and exams. She even gave us a lot of time for our midterms and finals due to COVID-19. There is a decent amount of work for this class. We had a written assignment and an online assignment every week. However, she puts homework problems on the test so if you understand the homework, the exams will be super easy! I only took up to honors pre-calculus in high school because that was all that was offered, but I still found Math 3A to be very doable!

*TAKEN WHILE WE WERE IN A PANDEMIC*
I took Math 1 with Professor Greene about 2 years ago and she as an amazing professor then so I decided to take her this quarter for Math 3A and she was a great professor overall as well. I am not very strong at math but the TA that I had which was Joel broke everything up step by step which made it easier to understand since her notes are kind of messy. The class consists of weekly hw, mylabs which is another math assignment you have to complete on top homework but it's pretty easy if you do it with your friends, two midterms, and one final. It was pretty straight forward. She gave us sufficient time to finish all the exams and to finish the hws! If you are looking for a great precalculus professor and calculus professor, professor Greene is the way to go. GOOD LUCK!!