• Go to the Math tutor room at the second floor. Prepare your questions the night before, write it down on paper, the next day, go ask the tutors, and listen to them, and to understand how they think. It is easy for me to not to understand some of the concepts, after couple days, I realize I need to talk about all the questions I have with some Math people. If you wait too long, you'll have too many questions, you don't even know where to start to ask. So I think once you know that you don't know maybe 1/3 of the material in one class, you need to get some help from the Tutor room.
  • I think the most important thing is not to wait too long to ask questions. Or maybe some of the students don't know who to ask. I think one way is to go to the tutor room. (Maybe some students think that they only help Calculus in the tutor room, so they didn't even try to go there asking for help, I hope that is not the case, because I go there all the time to ask them all kinds of questions. ) Another way is to find some classmates you think are better Math students than you, and study together.
  • Having a habit of being on top of everything, such as, checking the homework or quiz. It's helpful to be ahead of your study or due dates. It gives you more time to study over the materials.
  • This one is also about time management. Having a planner, maybe not, then write things down on a piece paper the night before the new day, a to do list for the next day.
  • Utilize Office hours, having questions prepared to get help from the professor. I did a lot with Analysis class.
  • I think Math is about understanding and communicating to others. First is to understand. I think students should pay attention in class, if you understand all the things the professor talking about in class, then you only need to review the notes after class. If you don't understand, don't wait too long to ask questions. Second is to communicate with others. Find a way to tell others what you have learned. Also, ask questions in class. It helps you to understand, and helps the teacher to know what we don't understand. Maybe some students are shy, but don't be. It'll only helps you to do good with your study.
  • Internet searching is helpful sometimes.
  • Don't get discouraged too quick. There will always be some students who are better at Math than you, or some are not so as good as you. That is the fact. Don't waste too much time thinking about how bad grade you are going to get, how hard the course is, how inconvenient your work schedule is with your studying. Spend quality time to study, to give your best, to learn to understand. If you waste time on emotions and feelings, you'll have less time to study.
  • For me, I've found that the most important things to do are to show up in class every day and take good notes. I like to write out all of the definitions and theorems that we have gone over and then review those for an hour or two the night before a test, and then review them again for around half an hour in the morning just before the test.
  • Write it out. If you're having difficulty with an especially tricky problem, a good way to make some progress is to try writing out everything you know that might possibly be relevant. Usually, the exercises will give you some mathematical set and ask you to show whether or not it has some given quality. If you're completely stuck, writing out all the properties the set has can usually push you toward the right path to the solution. So whenever you feel like your proof has hit a brick wall, give it a try.
  • After looking over the Math Department website on the advice that it already out there for Intro to Analysis, I don't think my advice for Intro to Abstract Algebra will differ much, but here it is.
  • Always do the homework. Try to start it the weekend before it is due, so that there is time to go to the professor's office hours or the math help lab if you are stuck on a problem.
  • When you are stuck on a proof, look at the exact definitions of each of the terms, making sure you understand exactly what you are given and what you are trying to prove. Also look at any associated theorems and look over examples from class.
  • Take notes in class. If there is a concept that is explained in class that you don't understand, then make a note of it and look it up in the book later.
  • Study for the tests by memorizing all the theorems and definitions and by doing old homework problems. Do not just read over your notes from class and call it good.
  • Work with one or two other people on homework and while studying for tests. This forces you to focus (instead of going on facebook) and it helps you understand the material better as you explain concepts to and bounce ideas off one another.
  • I think one of the most important pieces of advice I could give is to start assignments early. I usually tried to do the majority of the HW assignments on the weekend, so I would have extra days to think about the problems if I have difficulty completing or become frustrated with any of the problems. Trying to do the HW the Wednesday that it is due would be too stressful and not allow me the time to fully understand and complete the problems.
  • In regards to prerequisites, I think familiarity with proofs is exceedingly helpful for this course, since the tests and assignments are proof-based.