<p>correction, i looked at the first hw on the math 1a, i just looked at the other hw's, only the first one is manageable :/</p>
<p>and, does anybody know a good place to start on proofs and inductions?</p>
<p>just to be clear, mathematical induction is one technique of proof. GracieLegend, you're probably better suited to answer this than I -- what's a good starter text which gives cute examples of how to prove things? Art of Problem Solving?</p>
<p>hmm, i couldn't find any problems for freshmen physics and chem, can anybody link me to those? i wanna see if those subjects are a intimidating as the math</p>
<p>on this page: <a href="http://www.math.caltech.edu/courses/1term05.html%5B/url%5D">http://www.math.caltech.edu/courses/1term05.html</a></p>
<p>what is the difference between math 1a and math 1a (section 1)?</p>
<p>Section 1 is for students who haven't had much experience with calculus.</p>
<p>so the placement tests are to test out of section 1?</p>
<p>Thanks. You guys and girls are amazingly helpful. </p>
<p>Another question: If I want to place out of Math 5, 108 and/or 109, when will I be given the tests? I assume in September.</p>
<p>And is it possible to place out of only two quarters of a year-long class? I've taken point-set topology and differentiable manifolds/integration at Uchicago. I think this corresponds to 109a and 109c</p>
<p>Yes, just talk to the professors teaching those courses (or the ones you want to take) in September, as well as your freshman advisor.</p>
<p>do you think if i slaved over Apostol this summer i would be able to manage those problem sets?</p>
<p>Apostol is pretty challenging but I don't know.. I started going through it some months back and i was able to complete most of the proofs in the introductory section on my own because my calc teacher couldn't do them.. but then I stopped to focus on physics. I enjoyed the feeling of working through a proof and figuring it out while I was eating or something.. made me think of 'Beautiful Mind' :D</p>
<p>
</p>
<p>I learned it from old Russian math textbooks. Awesome resources, but probably not very useful unless one knows the language. </p>
<p>I've never read "Art of Problem Solving", but have heard good things about it, so it's probably worth a shot.</p>
<p>
</p>
<p>Here's some good stuff;</p>
<p>I couldn't find the chemistry problems (the websites for Ch1a and Ch1b have probably been taken down already), but the placement exam should give you a reasonable idea of what to expect.</p>
<p>can I test out of Ma 1a (Section 1) or do I have to test out of all of Ma1a? how much "proof" stuff do you have to know to test out of it? </p>
<p>when are the placement exams given?</p>
<p>what are "Completeness," "Inversion," and how does it deal with "Complex Numbers?"</p>
<p>
[QUOTE]
can I test out of Ma 1a (Section 1) or do I have to test out of all of Ma1a? how much "proof" stuff do you have to know to test out of it?
[/QUOTE]
</p>
<p>There's a diagnostics exam to start with. You don't need to know any proofs for it, and if you do well enough, you'll be in the regular section of Ma1a. </p>
<p>In order to place out of Ma1a, you have to take the advanced placement exam given later. </p>
<p>
[QUOTE]
when are the placement exams given?
[/QUOTE]
</p>
<p>The initial calculus diagnostics test was in June, while all the advanced placement exams were due during various parts of July. You'll receive multiple notices via snail/e-mail about this.</p>
<p>
[QUOTE]
what are "Completeness," "Inversion," and how does it deal with "Complex Numbers?"
[/QUOTE]
</p>
<p>I wish I knew....</p>
<p>... and there are pretty much no proofs on this diagnostic exam. It's a little easier than BC Calculus.</p>
<p>Is there any advantage in trying to place out of Ma 108 as an incoming freshman as opposed to trying to place out of Ma 108 as an incoming sophomore? My reasoning is that even if I placed out of 108 as a freshman, I wouldn't have time to take 110 until sophomore year anyway.</p>
<p>No. It's much better to wait until later to talk to professors about skipping 108, even if you end up wanting to. There are two advantages. One is that you will have had time to make a good overall impression and gain credibility (instead of seeming like a naive frosh) and secondly you will have had more time to get an idea of the lay of the land and decide what you want to do.</p>
<p>If one places out of math 1a and 1b but not 1c, is it possible to take
2a, 2b, and 1c in the fall, winter, and spring terms of freshman year?</p>
<p>
[quote]
If one places out of math 1a and 1b but not 1c, is it possible to take
2a, 2b, and 1c in the fall, winter, and spring terms of freshman year?
[/quote]
Yes, that is possible.</p>
<p>The diagnostic is quite hard. I remember some tricky question involving the fundamental theorem of calculus that I had to find online afterwards (at HMC's calculus tutorial site, which is actually quite good).</p>
<p>i just looked at the hmc tutorial site, wow, it is pretty good</p>