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Here is a list of questions and responses that will hopefully give you an idea of what to expect:

1. How long did you study for? For instance, how early did you start, and how intense was the studying. Would you recommend more studying, less studying?

Pun

0-1 month before quals around 8-12 hours a day; 1-6 month before quals around 10 hours a week average

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Some of my study partners made note cards for each class. I made post-it notes that I stuck them all over my office and also made QuickRead guides for each class that summarized the main points.
In terms of more or less studying, it's person dependent. The important thing is that you are honest with what you do and do not know, swallow your pride and fill the holes. Everyone taking the qual is a potential resource, whether for material or a different type of explanation of a concept. Working as a team toward learning the material helped me stay focused and acquire a comprehensive review packet.

2. Did you study with people? Would you recommend studying alone, small group, large group etc?
Pun
I studied alone mostly and join study group weekly. I would recommend studying alone then sharing answers and asking questions in group.

Becky
Practice problems with others is great. If the group is large make sure you volunteer to go to the board. Otherwise stick with a smaller group so you can't just slide by nodding your head.

John
I typically study alone, and that is what has worked for me up to this point. For the quals though I really did find that studying with a group was helpful. This is particularly true during the early stages, before January, when it is hard to get motivated to do it on your own, and having a group to be responsible to helps you get started. I also found it to be really useful for the late stages when you are spending so many hours at a desk studying that you start to miss just being around other people. Having group study sessions that remind you that you aren't alone studying for this thing is very helpful. It sounds bad but knowing others are suffering too makes it better for sure, even if you spend half the group study session just complaining about things.

Aside from the group stuff I spent most of my time just sitting at my desk in my room studying.

Mareena
I did study with people and I know it was one of the main reasons I passed. Personally, I like smaller groups (at most 4) where the people have a mutual respect and are equally committed to the goal of passing. It takes these things to not go off on each other while in this high stress situation. Also, every one in the group needs to bring their A game. Its not productive if everyone waits until the day of the study session to review and identify holes. Everyone needs to come to the study session with their questions already identified and an outline of the session needs to be nailed down. There's a lot of temptation to stop early or clown around, but no one really has time for that. An outline helps everyone stick to the script and come prepared.

3. Any good strategy you want to share?

Pun: Probably heard this too many times, but prepare well and eat well and sleep well before quals. Write up notes of stuff that are hard to remember, and spend your last two days on it.

Becky: Doing all the 312 problems I could find was very very helpful. Doing all of Kord's exams and making sure I knew how to do them was a must especially for the very short answer to make sure I had memorized what was needed. I was ready to derive tons for 106 but never had to on the test.

I recommend making sure you are all organized before January. I then went through each class ~5 days per class and condense the information as much as possible. This was more of a review and memorize time. I also review pset and exam problems for each class to make sure I could apply things.

John: The two big changes I made between the first time and second time I took the test were 1) use flashcards for equations and basic concepts and 2) take practice tests much more seriously.

Point one actually was pretty useful for me, I have never been a flashcard guy, but I started very early on with my studying making flash cards of basic equations, important numbers (cross sections for important nuclides, PWR inlet/outlet temperatures, etc), and just reviewing them any time I got too tired of the really tough stuff but still wanted to do something productive. These are especially nice to review in the final days before the test because you will have built up a huge stack of them and you can feel confident that you aren't leaving anything out, which will decrease any pre-test worries or frantic last-minute searching for odds and ends you might have forgotten.

The second point was far and away the most important change that I made. After the first test it was the advice given to me by Ju Li. You should absolutely take every practice test you can, and not only that but I recommend taking them in as close to real test conditions as possible. I bought some envelopes, printed out the tests, packed them just like they would be for the real thing, and in the final 2 weeks or so of studying (once I had gone over all the topics at least once) I would wake up early, have breakfast, go through my entire morning routine, and go to another room (not the actual test room, though I would recommend that) and take a test starting at 9:00 AM and following the real timing of the test. This way you start to learn what its like to pace yourself on these things, and you start to learn what to do when you DONT know the answer, or when you don't have time to finish a test. You should ALWAYS be writing something. Briefly explain the concept. Explain something related and how this is different. Make a simplifying assumption that may not be what they were looking for but demonstrates that you know the context of the problem and understand what the challenges are, and solve it as best you can.

Taking practice tests should help you with these sorts of things, and will be much more helpful than opening up the test on your computer, getting stuck, an then pulling out a textbook and working through the problem. It is less about learning the material than it is learning how to take the test. You are also practicing your morning routine (not to mention calibrating your sleep schedule for the test), and doing a lot more than you might think to make the real thing less stressful.

As a corollary to this, do make sure that you take advantage of all the folks in the department who are willing to help you prepare for the oral exam as well. Schedule a few practice exams with folks like Jake DeWitte, Bryan Herman, and Josh Richard. They all helped me this year and it was really great to just help me get in the mindset of how to approach the oral exam, particularly since I hadn't taken 22.39 as recently so it had been a while since I had an oral exam. I am sure there are others that would be willing to help as well!

If any quals-takers would like some envelopes to put tests in, or would like to borrow/take my note cards, first ones to come ask me for them have dibs. With the notecards I'd recommend making your own, because just making them is a good learning process, but if you want to see what I did or would rather just study mine I'd be happy to help.

Mareena: BE ORGANIZED AND MAKE A SCHEDULE! This is not something you just jump into. There is a lot of material to learn and a lot of room to be stressed. You can prevent a lot of unnecessary stress if you are organized and prepared. Sounds cheezy but color coding things helps with organization.

Also, DO EVERY PRACTICE PROBLEM YOU CAN GET YOUR HANDS ON! If only for peace of mind, doing the problems multiple times helps drill the points home and also shows you where you need more work. The worst feeling is being on the qual and seeing a problem you chose not to review. You want to bite your tongue off in that moment! So don't let that happen and do all the problems.

Also, these professors love derivations on the quals (at least that's the impression I got). Make sure you know all the milestone derivations, backwards and forwards. A lot of this is understanding but you can get a long way with simply remembering a derivation and reasoning through the meaning after.

Another thing I don't think I expected was how emotionally draining studying for the qual is. Know yourself and make sure you work in a scheduled time to recharge. It has to be worked into the schedule or else it wont happen. Whether its working out, going on a date with your hunny, or reading a chapter in a book for leisure, you've got to recharge. This is a marathon of studying, not a sprint (okay, maybe for some people it was a sprint, but definitely not for me. I worked my butt off studying!) Do the things you need to do to keep your endurance up and your mind at peace. It can be done.