After BC Calc?

<p>I am currently a 10th grader and I am taking Calc BC. I am thinking about taking math courses at a college nearby. Does it really worth it? What program or courses I should take next year?
Thx!</p>

<p>What math classes do they offer? I would recommend multivariable calculus, linear algebra, or differential equations. Maybe discrete math.
How much would it cost you?</p>

<p>You certainly don’t want to take years off in your math education! The next step is naturally Multivariable Calculus and Linear Algebra. After that (Senior year), you could do differential equations and then maybe take an analysis course.</p>

<p>Here are some things to think about: How much will it cost? Can you afford it? Do you know that the credits will be accepted at the college you’ll go to, or are you just hoping? (For example, my daughter took differential equations but it didn’t include linear algebra and she’ll end up having to repeat it…) How much time are you going to spend commuting? How are you going to get there? How much will that cost? What classes will you not be able to take at your hs because of the scheduling required? What EC’s will you have to drop because of the scheduling required? Are you comfortable earning college grades at this point in your life–those grades will be part of your college record and will matter for graduate admissions. It can be a great experience but there can be many difficulties as well, and it may work out better for you to try an online course or MOOC. Consider all your options.</p>

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FWIW, at some schools these can be taken in any order (I took differential equations before multivariable calculus). </p>

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Why would it?</p>

<p>Any math class taken at an accredited college (not at HS) should transfer. At my HS our class order is Multivar, Linear, Complex or Numerical Analysis (they alternate what is offered every year, and then Diff Eq. These are not required to be in that order by most colleges, but I would recommend starting with Multi and Linear and then from there choose where you want to go.</p>

<p>Just wondering, have you taken AP Statistics yet? If you haven’t, it’s definitely a consideration. </p>

<p>Not all STEM programs are organized the same way in different colleges. Because of this, my daughter may end up repeating 2 of the college-level classes she took. If you can take such courses for free at your own high school, fantastic, go for it, but almost no schools offer that opportunity. If it is going to cost a lot of money, take up a lot of time commuting, cause you to miss out on EC’s and leadership opportunities due to scheduling. and possibly not transfer in the end, you may be better off doing other things. I have mixed feelings about my daughter’s decisions. It all depends on your individual circumstances.</p>

<p>I would recommend it highly actually. I have known kids who have done it and you usually can get reduced tuition as a HS student through dual-enrollment programs. Most schools will take dual-enrollments that are taken on a college campus with college students, provided that they cover the same material they do. I also took a CS class at a nearby community college (over the summer granted) and loved it. If you are weary at first, you should take AP stat, but I would recommend doing multi next. I took multi at my HS in the fall and it requires a lot of knowledge of calc, so taking a year off before continuing might not be the best idea. I am starting college in the fall and have been told from previous conversations with the department that the CS class should transfer and multi will be waived (not for credit though, since I took it at my school). I am planning on enrolling in Data Structures and Linear Algebra in the fall. There is a chance that certain classes won’t transfer, but multivar is pretty standard, same with linear. I can’t speak for classes past that though since I’m not experienced with them.</p>

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A lot of private colleges say they won’t transfer dual-enrollment classes that show up on your high school transcript, and I assume this applies to math classes. I’ve taken a lot of classes at a local university, but they show up on my high school transcript because I took them during the school year for both high school and college credit.</p>

<p>@halcyonheather‌ I assumed this was what he would be doing. I have never heard of anyone getting HS credit for taking a class at a college campus, but that doesn’t mean it doesn’t happen. The way it works where I live is you can either take a college class or for certain classes (like my multi class), you can take them at your HS and then get credit through a university, in which case I guess that would count as credit for both although the latter rarely transfers. But that’s what I meant by not at HS, because I didn’t know it was possible to get HS credit if you didn’t take it at your HS.</p>

<p>If they have IB,HL Math Year 2 comes after BC Calc</p>

<p>It doesn’t cost that much…My parents are really concerned about what will look good on my transcript…
My school offers differential equations and linear algebra. I am taking stat and either linear/diff equ next year. My friend recommends me to try <a href=“http://epgy.stanford.edu/”>http://epgy.stanford.edu/&lt;/a&gt; or Penn Young Scholar program…</p>

<p>Thank you so much for the suggestions!!! :smiley: </p>

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I think it’s pretty common, at least as common as people taking “dual enrollment” classes on high school campuses. The whole state of Ohio (as well as Minnesota, I think) has this program called PSEO where you can take college classes for free if you also take them for high school credit (in which case they show up on your high school transcript). So this year I’m a high school senior and also a full-time university student, and I don’t pay tuition. If you take them just for college credit, you have to pay for them.</p>

<p>Yeah. Here in Minnesota we have PSEO, too.</p>

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There’s topics covered in many differential equations classes that [require</a> knowledge of linear algebra](<a href=“http://tutorial.math.lamar.edu/Classes/DE/SystemsIntro.aspx]require”>http://tutorial.math.lamar.edu/Classes/DE/SystemsIntro.aspx). Also some parts can be confusing without knowledge of multivariable calculus (as in [exact</a> equations](<a href=“http://tutorial.math.lamar.edu/Classes/DE/Exact.aspx]exact”>http://tutorial.math.lamar.edu/Classes/DE/Exact.aspx)). I suppose it’s possible to learn what you need without taking the specific classes but this can be avoided by changing the order in which the classes are taken (by taking multivariable calculus and linear algebra first) - and it’ll make more sense.</p>

<p>MIT OCW is a great source. </p>

<p>And MIT OCW lists MV calc as a prerequisite for both diffy q and linear algebra, but doesn’t mention any other requirements.</p>

<p>And also, is real analysis the next step after those 3 courses? Real analysis seems really cool – like the last unit of BC calc but expanded a lot. </p>

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To the best of my knowledge, real analysis (which is a whole field of math and not just one class) provides the theoretical foundations for calculus, so it’s proof-based and mostly taken by math majors. After Calculus II (the second part of AP Calculus BC), college math doesn’t have a linear progression the way high school math does. To learn real analysis you need “mathematical maturity” more than you need content knowledge. People gain mathematical maturity by taking lower-level classes like linear algebra before learning real analysis, but it’s possible to learn real analysis without taking all those courses just like it’s possible to learn linear algebra without taking calculus first. The prerequisites for different upper-level math classes vary depending on the university. </p>

<p>No. MIT OCW is mediocre and the only reason people think it is good is because it is from MIT.</p>