Multivariable Calculus and Differential Equations/Linear Algebra in Junior Year?

Pre-College Issues High School Life
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<p>As a home-schooled student, I've always been a few years ahead in mathematics. This year, as a sophomore, I finished Art of Problem Solving's Calculus class. For those of you who don't know, it's a slightly more advanced version of Calculus BC.</p>

<p>So...I looked all over for a good multivariable calculus course for my junior year, and I finally decided on MIT OCW Scholar's class: Multivariable</a> Calculus | Mathematics | MIT OpenCourseWare.</p>

<p>However, when I read the class description and looked at the lessons, it seems to cover a few topics I already know, and the lessons seem rather brief. The explanation is simple: it's a one semester course at MIT!</p>

<p>Because of this, I'm wondering if I should take a full school year to complete the course, or should I try to complete it first semester and study one of the following courses in the second semester:
Differential Equations - Differential</a> Equations | Mathematics | MIT OpenCourseWare
Linear Algebra - Linear</a> Algebra | Mathematics | MIT OpenCourseWare</p>

<p>I had planned to take one of these two courses my senior year, but I'm now considering the probability of being able to take both (between my junior and senior year). Does anyone have any thoughts about this? Personally, I am afraid that MIT might think that I am inferior if I take a full year to complete one of their one-semester classes.</p>

<p>The rest of my schedule is somewhat rigorous:
-AP English Language (online)
-College Biology (self-study to prepare for USABO, with AP supplement)
-Human Anatomy & Physiology (local tutorial)
-ACT/College Preparation (local tutorial)
-WOOT (For those of you who don't know, this is a training course for mathematical olympiads.)
-Government (self-study, single-semester)
-AP Macroeconomics (online, single-semester)
-AP Latin
EXTRACURRICULARS:
-Siemen's Competition (?)
-Various Chess Activities (lessons, teaching, tournaments)
-Piano (?)
-Computer Science (self-study of various programming languages as time permits)
-Mathematics (primarily AMC12/AIME/USAMO preparation)
-USABO preparation (review of Campbell's Biology and possible reading of Raven's Plant Biology)</p>

<p>I considered self-studying over the summer, but between chess tournaments, an online Python class, USABO preparation, and PROMYS, I don't see that I'll have time.</p>

<p>With all of that in mind, do you think I should try to take multivariable calculus AND another math course, or should I stick to a single course? If anyone has taken MIT OCW Scholar's Multivariable Calculus, can you elaborate on how long each lesson took?</p>

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<p>Are you home-schooled…otherwise your schedule makes no sense…</p>

<p>By the way, just take Multivariable Calculus at a local CC. It usually is a better alternative than taking a course online. But that’s just me…</p>

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<p>@Apollo11: Yes, I am. Unfortunately, there aren’t many good local CC options. The options that are available would be rather slow, I’m afraid.</p>

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<p>Oh in that case, everything seems good.</p>

<p>I talked to a friend who was doing Multivariable Calc and Linear Algebra at the same time via a local CC. He said the courses were manageable and not too hard. I suppose that you are academically qualified, based on your schedule, so I don’t think there is a reason not to do the two match classes at the same time.</p>

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<p>Ok, thanks for your help! :D</p>

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<p>By the way, I am so jealous…PROMYS, USABO and Multivariable Calc [In addition to Linear Algebra…]!</p>

<p>Good luck with all of that!</p>