<p>So according to the course catalog, a 5 on the AB exam gives you the first quarter of the regular calc sequence. I'm in AB this year, and doing pretty well, but rather than opt out of the first quarter of the regular sequence, how would I be able to place into the first quarter of the honors sequence? Is the only way to do that to do well on the placement test during o-week?</p>
<p>Yea, the easiest way would involve doing well on the placement test during o-week. If that doesn't work out, I'm sure you could just talk to the math department head and I hear they're pretty accommodating, so they'll probably at least let you take the class and decide for yourself if you can manage.</p>
<p>Our experience is that if your placement test shows any familiarity with calculus at all and you want to do honors calc, they will encourage you.</p>
<p>Thanks to both of you, I can stop stressing so much over the Calc AP now, and focus on preparing for the placement test. I don't suppose anyone who's taken it can let me know the type of questions that are on it and what type of material I should practice?</p>
<p>As someone who hates math, is it possible to avoid calculus and still satsify Core requirements?</p>
<p>From what I've been able to discern, you can fulfill the core requirements with statistics, or an ap credit in stat, but please correct me if I'm wrong.</p>
<p>Statistics, comp sci, and "Studies in Math" are all non-calc options for Core.</p>
<p>Studies in Math comes highly recommended from various non-mathy friends... once you get your CNet ID, check out MATH 11200 on evaluations.uchicago.edu</p>
<p>For "non-mathy" UChicago students: My "non-mathy" S (only a 580 on math SATs) decided to take calculus rather than the alternatives, to meet the core math requirement. For both of the two quarters that he's completed so far, he actually got an A-. Note that the beginning sequences in Calculus seem to have been curved, so that even weaker math students can do reasonably well from a GPA perspective.</p>
<p>What topics are covered in the Honor Calculus sequence? What do you need to pass out of all the Calculus and take Honor Real Analysis?</p>
<p>Honors calc is proofs from the ground up. I don't know exactly what is covered and in what way, but it seems like "calculus" as you think of it (with the differentials, integrals, and all that jazz) comes into play third quarter.</p>
<p>Honors Analysis (is that the same as Honors Real Analysis?) is a mother of a course-- ask phuriku all about it. A friend told me that the prereq for it is straight A's in honors calc-- not an easy feat.</p>
<p>To my understanding, analysis is broken up into three (or maybe four) tiers. The lowest tier is, for lack of a better phrase, "analysis by necessity" and is geared towards econ majors and others who need to learn the math for its applications. The middle tier is a non-honors version for math/econ majors. (My friend who is a comp sci major is in this tier, and a friend who is a math major is also in this tier). The upper tier is for students who want to live and breathe math.</p>
<p>Honors calc does more or less all of single variable calculus and is entirely proof based and rogorous basically you start with the reals and limits and then move from there and do calculus, and I think they finish the year with the construction of the real numbers (one of my suite mates is taking the class). The inquiry based section of honors calculus literally does calculus from scratch they spend about the first two quarters constructing the real numbers and their various topological properties and only recently this quarter have they even begun to do some calculus (I also have a friend in this class).</p>
<p>Honors Analysis.... I'll leave a descrption to someone else and say that to get in based on the calculus placement test is statistically not an easy thing, I think only 13 or so first years out of a class of over a thousand tested into it, so take that as you will. I think you need to basically do all of the calculus questions on the placement test correctly, plus have decent answers for the more theoretical questions regarding least upper bounds etc.</p>
<p>unalove:
Honors Analysis = Honors Real Analysis = Honors Analysis in R^n (official course name)</p>
<p>
[quote]
Honors Analysis = Honors Real Analysis = Honors Analysis in R^n (official course name)
[/quote]
</p>
<p>Even though that's terribly misleading, as we rarely keep ourselves to R^n. Paul Sally says he wants us to live in two spaces: C^n and locally compact topologically groups. :)</p>
<p>
[quote]
I think you need to basically do all of the calculus questions on the placement test correctly, plus have decent answers for the more theoretical questions regarding least upper bounds etc.
[/quote]
</p>
<p>The person sitting next to me when we got our placement results back only tested into 199, getting a better score than me on everything but the definitions and the last three questions (on which I got perfect). I got terribly distracted during the multiple choice test and decided to write down C for about half of them... so you don't necessarily need to do well on the multiple choice part of the exam to get into Honors Analysis. They do want you to have a firm grasp on least upper bounds, field axioms, and the real definitions from analysis (convergent series, limits, convergence, integrals, etc.).</p>
<p>^^ The same thing happened for me, actually-- I decided not to finish most of the questions involving relatively simple integration (the stuff that you're used to seeing if you're taking calc right now), and skipped straight to the back, where there was stuff on delta-epsilon proofs and continuity. I had a good grasp of the theoretical stuff, and because of it I tested out of calc for core completely.</p>
<p>Could someone give me an example of a problem involving the least-upper bound axiom. So far, I have only seen the supremun and infimum used to prove some properties of real numbers and derive the definition of the integral. I am aware that the supremum-infimun or (lower-upper integral) is used in the concept of developing the integral using the the area of step regions, but what actual problems could they give you on that subject?</p>
<p>Use the LUB axiom to show that every nonempty set of real numbers with a lower bound has a greatest lower bound. (This one should be misleadingly easy, however.)</p>
<p>Perhaps more appropriate:</p>
<p>Let L and U be nonempty subsets of R with R = L [union] U and such that for each l in L and each u in U we have l < u. Then either L has a greatest element or U has a least element.</p>
<p>Are you saying that I can screw up a problem like</p>
<p>Find Int[xdx,0,1]</p>
<p>answer the theoretical questions correctly and still place into honors analysis? Because if so that's totally awesome. Not that I don't know the stuff, but the idea of me placing into Hon. Analysis or not is depends on whether I make a calculation error is not very soothing, because I am known t make many dumb mistakes. Perhaps that is why I like proofs so much: you either know or it you don't. There is no such thing as a careless error (for the most part) with proofs.</p>
<p>Wow that was horrible english on my part.</p>
<p>What I meant to say was</p>
<p>"The idea that whether I place into Hon Analysis or not depends on whehter I make a calculation error or not..."</p>
<p>tsk...tsk...tsk...shame on you GleasSpty :)</p>
<p>unalove,</p>
<p>In any year, less than 9 percent test out of the core like you did if I recall correctly. </p>
<p>And it appears that one can have three outcomes:</p>
<ul>
<li> Honors Analysis</li>
<li> 199</li>
<li> Satisfaction of the math core.</li>
</ul>