<p>It's not for me (although it may well apply to me in a year and a half, but that's later on..), but my friend who's going to be a senior having completed Calc BC in her junior year,</p>
<p>I'd cap her abilities at fairly above average, at least, A in both semesters. She doesn't know what to take, though, doesn't want to take Stats, but has no idea about her next level of math classes.</p>
<p>So, what's after Calc BC? I've heard on these forums some jargon like Multivariable, Diff Eq, etc, but I don't exactly know what's what, what exactly comes after what in sequence, etc...elaboration/listings on the next levels of math after calc BC is appreciated. </p>
<p>This is primarily to aid her with her decisions, but I guess the others on here can benefit from a question like this serving an overall comprehensive purpose about math classes.</p>
<p>After calculus the sequence becomes looser. The courses become more independent of each other and you don't have to take them in a predetermined order. The ones she should be taking are Multivariable, Linear Algebra, and Differential Equations (in the order I would take them). They're all one-semester courses, so she can take two in one year.</p>
<p>If she wants to go further she might look into Discrete Math (which at my school was kind of an introduction to proofs). Or even proof-based math classes, like Real Analysis or Abstract Algebra. Proofs are hard on people who see them for the first time, so some universities have a lighter introductory course - they'll call it something like Modern Analysis or Introductory Analysis. Maybe she could take those. But I would definitely take the more basic classes (multivariable etc.) first.</p>
<p>Multivariable is like Calculus III, essentially, and so since BC Calc is Calculus I and II MV is naturally next in line. Differential and linear algebra come after that. The order doesn't really matter. She could take these before or alongside MV, but a lot of schools have MV as a prereq to DE and LA.</p>
<p>There's a whole bunch of other options also, game theory, combinatorics, number theory, discrete, etc.</p>
<p>Keep in mind that these are college courses so she could take multiple courses in a year.</p>
<p>I'm going to take MV first semester, and then DE and LA second semester next year.</p>
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There's a whole bunch of other options also, game theory, combinatorics, number theory, discrete, etc.
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</p>
<p>I wouldn't recommend those until after MVC, LA, and DE. It makes more sense to get the required lower-level courses out of the way and then take the higher level courses.</p>
<p>I'm a sophomore taking BC... I've pretty much given up on the idea of taking MVC this summer... if I get into the magnet school I've applied to I'll be taking MVC, Graph Theory, and something like game theory and linear/differential equations... if I take MVC this summer I'll take something like Graph Theory, Game Theory, LA/DE, and Number Theory. </p>
<p>If I don't get in I'll be taking MVC, LA, and DE with a local community college.. but I'm not sure what I'd to for senior year. Stanford EPGY doesn't exactly excite me.</p>
<p>Edit:
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aigiqinf: What're you taking for your junior year?
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I love how I answered your question before I read it lol.</p>