Why You Should Consider the Ross Mathematics: A Letter Program

<p>Last summer, I had the privilege of attending the Ross Mathematics Program at the Ohio State University for eight weeks. It was an incredible experience, one of the best I have ever had. I thought, as many rising sophomores, juniors, and seniors are starting to make their decisions about where to apply and attend for the next summer, I would give some of my own experiences, advice, recommendations, etc. for the masses.</p>

<pre><code> First and foremost, Ross is hard. While it's not a pressure cooker in the traditional academic sense, because ultimately there are no consequences for not doing well, the premise of Ross itself is intense. Eight weeks straight of math is a daunting idea, and if that doesn't sound appealing then warning bells should probably be ringing in your head right about now. Moreover, it's a different way of approaching math then the average high school class, focused on discovery on one's own rather than memorization or tests. On the one hand, the focus on discovery is extraordinarily freeing. When the only things you learn are what you and your friends can discover, they suddenly gain an extra layer of meaning. On the other hand, it can be hard. There were days when my friends and I got stuck on a hard set and couldn't figure out a single proof. There were proofs that required weeks of thought. But ultimately, we always made it through. The idea that comes to my mind thinking of Ross is that of drinking from a firehose. The sheer amount of mathematical ideas that are thrown at you on a set, which is followed by another set the next day and then another and another, is absolutely astounding. On the later sets, there will be times when you will receive a set and realize that every single problem is totally foreign to you. Keeping up on sets will require collaboration, because sometimes you won't have any idea how to do things. While that's scary, it's also incomparable in terms of the things you can learn.

My favorite aspect of Ross, other than the meal plan (we'll get to that later), is the freedom. Lectures are MTWThF and Seminars are MWF, so alternately there are either one or two hours structured in each day. Other than that, you are completely free to choose when you want to work. If you want to eat lunch early, you can. If you want to take a nap in the afternoon and work late, you can. If you want to work out, practice an instrument, [fill in your own activity here], you can, any time you want. Now the converse to that is with freedom comes a price. You have to work. Hard. Harder than you think you can work. Choose when to work, but expect to spend 8 hours a day at least on math (on many days, this will prove to be a conservative estimate). At Ross, unlike many other math camps, free time is not free time. It's math time. You will fall very very far behind if you only spend a couple hours a day on math. Of course, there are slackers who don't work, and those people still have fun at Ross. Mostly they just don't learn as much.
The next extraordinary aspect of Ross is the counselor interaction. Each group of 3-4 students is assigned a counselor and a junior counselor to work with. Sets are graded (not on a right/wrong basis; in fact, many times doing a problem right will prompt a "redo" because there are new things to explore related to the problem) by your counselor, and let me tell you they are not shy about giving you redos. Some sets, like set 14, may or may not be given a full-set redo (literally, redo every problem on the set). Other times, if you are lucky and/or absolutely amazing, you may get through a set or two without a single redo, causing you to feel like a god and a little bit too sexy for your shirt. The time you will learn the most at Ross is not lecture; rather, it is when you go over your sets with your counselor, which if you keep up and have a fast grader for a counselor, will be almost every day. Your counselor will push you to understand every aspect of the problems being asked, and if he/she feels you were faking your way through it you'll get a redo. Your b.s. goes out the window pretty fast. He or she will go through each of your proofs with a knife. You might get a redo because your proof isn't elegant enough, or neat enough, or concise enough. As mentioned above, you may also get a redo just because your counselor wants you to go beyond a problem. More than anything, these redos will help you learn exactly how to write a proof and really get something out of every problem, even a numerical (although everyone hates numericals, they're very useful).

Any discussion of the Ross Program would be remiss to forget the meal plan. At the Ohio State University, there are approximately four or five places to eat, including the dining hall called North Commons, Pizza at the Pad (they deliver!), Chinese at Marketplace, and snacks and great hot food at Fresh Express. Each is covered under the meal plan, which gives you way more meals than you need for the summer. As you approach the end of your stay, you'll find you have up to 30 or 40 meals left over, which you'll start spending quickly on many pop-tarts, ice cream, excess groceries, and larger pizzas. If junk food isn't your thing, Fresh Express has great sandwiches and healthier options. The point is, you'll never be hungry (although sometimes on weekends the better options are closed), and if you're smart and don't eat at North Commons too often you'll love your food.

Of the top of my head, these are the things that stood out to me in thinking back to my experience at Ross. Overall, it was extraordinary. I learned a ton of math, and I'm happy to say I'll be coming back as a junior counselor. It's very intense, even compared to other math camps, but the things gained because of it are the all the more valuable.
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<p>Thank you for the post. It seems really amazing~</p>

<p>You mentioned that we could play instruments during our free time: are there practice rooms where we can do this? Do the practice rooms have pianos that we can use? Thanks !</p>

<p>It depends on your instrument in regards to the practice rooms. If you have a portable instrument (i.e., not a piano), then I can almost guarantee you that you can practice in your own room. My roommate played the violin constantly, and I loved it. However, if you need a piano, the dorms are normally very near to the music building, which, even though it might be hard to actually get a practice room, always has pianos open if you know where to find them.</p>

<p>Could you possibly tell us what your stats were when you were accepted, or is it entirely based on how you approach the problem set they give you as part of the application process?</p>

<p>Wish I could go so much… but no way my parents would let me go for 8 weeks! I’ve just about convinced them about 4 weeks but that’s it!</p>

<p>I told myself I would finish the app by Mar 1.</p>

<p>It’s Mar 20 and I’ve barely started.</p>

<p>Oh well, I’ve finished 2 problems and have the general solutions to 4 more, so I guess I’ll be fine (by general solution I mean I know how to solve it I just haven’t written out the solutions).</p>

<p>I was just wondering on average how long does it take to solve a problem set at Ross?</p>

<p>The intial post is a very good summary of the program although i think some of the food options have changed since then although the food is still quite good. As to how long sets take it really depends. if you’re well prepared and studious you can probably do the early sets in 1 day. The later sets will take much more time though. A good but not oustanding student will probably finish about 20 sets in around 50 days. On average maybe about 2-3 days per set but it really varies some people get less than 10 done all summer and others get around 30 done. This difference is even more pronounced when one considers that sets generally become much harder.</p>

<p>Can the problem sets be solved with sufficient effort even if one isn’t very experienced in number theory?</p>

<p>Hey Enarkttam,
Can you please tell me what all areas / cources do you cover in Math in the Ross Program?</p>

<p>Since you are new to CC, you should know that you shouldn’t revive old threads. Enarkttam posted his comments four years ago and only had 4 posts. Use old thread for information purposes only and start a new thread to ask a question.</p>

<p>@tejitpabari99‌
Hi, I attended the ross program last summer, I gotta say, you wouldn’t think that spending 6 weeks of your life constantly doing math would be terrible fun, but i thoroughly enjoyed it and would do it again given the opportunity. Week one, you start learning basic number theory principles, modular arithmetic, euclidian algorithm, divisiob algorithm, lots and lots of lemmas which you will use later on. Once you start progressing into the sets, a lot of what you’ve proved before comes up again. Ultimately, the two biggest things you prove are quadratic reciprocity and proving that certain unit groups are cyclic. These are week 4/5 ish. Afterwards there are still several big things (möbius inversion, working with weird rings, lots of quirky proofs), but the biggest things are unit groups and QR. </p>

<p>Hope that helped :smile: </p>

<p>@hk9928‌
Could you comment on what math we should have studied before the program?</p>

<p>@Woandering‌
The program itself is really open to any high school student, and there are no prerequisites in mathematical knowledge that the program expects you to have. To be able to complete the application problems, you’ll probably need an understanding in precalc and algebra concepts; experience with competition math is pretty useful too, but not required. A big part of the problems is your ability to write cogent and coherent proofs, so basic knowledge in good proof writing is useful. </p>