<p>I am finished with AP Calc.
It was the AB class, but I did most of the BC material on my own.</p>
<p>I have a summer. I do not know if I will take math next year at college. Probably.</p>
<p>I want to do something this summer to improve myself as a mathematician. I don't quite feel up to par.</p>
<p>My questions</p>
<p>1)What can I do to move forward? Math seems to be growing nebulous at this point. I don't want to just go to "Calc 2"-- I imagine that is what I will be enrolling in eventually. I have heard whispers of "Linear Algebra" and the like, but know little for certain.</p>
<p>2)Should I go on the road of enrichment instead? After years of the whole-grain math classes, perhaps a little side-reading is enjoyable? <strong>Math Books</strong>? If so, what?</p>
<p>Ok, thanks.</p>
<p>Statistics is another option if you haven't already taken it.</p>
<p>you can't take linear algebra without completing the calc 1-2-3 sequence. you can sometimes take differential equations (calc + algebra, sort of) without having taken calc 3. calc bc covers somewhat less than 1/2 of calc 3. well, maybe that depends on your teacher. stat can be really interesting when it is calc based... but then you usually need through calc 2/3 to do the double integral stat stuff. that is more probability i guess. but anyways... calc is essential is my point. good luck with your decision!</p>
<p>This is good site: <a href="http://tutorial.math.lamar.edu/%5B/url%5D">http://tutorial.math.lamar.edu/</a> see, if you're ok with Calc II you can study Calc III or Dif. Eqs. I'm now studying Calc I because its fun :)</p>
<p>that's a cool site! just remember - every school does things differently. different material is covered in different classes (the bulk being the same and the beginning/end chapters varying - unless you're upenn and then everything is different).</p>
<p>Instead of plowing through more calc, I would recommend getting into problem-solving. You'll find that the problems in such tests as the AMC series, ARML, and other math competitions, require much more ingenuity than what you'll see in a typical math class (including calculus ones).</p>
<p><a href="http://www.artofproblemsolving.com/%5B/url%5D">http://www.artofproblemsolving.com/</a></p>
<p>This is a website that I'd recommend you take a look at. In fact, there's an article there, written by one of the founders of the organization, in which he advises students to avoid falling into the "calculus trap."</p>