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<li><p>I am wondering what someone in general would take if he or she used mitopencourseware for multivariable calculus (18.02?), differential equations (18.03?), and linear algebra (18.06).</p></li>
<li><p>Since calculus II/multivariable calculus is required. But you already know it. Can you simply take a higher level mathematics course? </p></li>
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<p>My reasoning is that if you do well in a course that requires a previous course, then a good grade (such as a B) would show they w/e knowledge was needed from the required course, you know well enough to get a good grade. In others words, if you can jump 10ft in the air. Then you can jump 5ft. </p>
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<li>Is there a class one could take to review 18.02, 18.03, 18.06 all in one class? I think I saw a "review in mathematics" that might work but im not sure.</li>
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<li><p>You’d have to take and pass an ASE (Advanced Standing Exam) in order to get 18.02, 18.03, 18.06, or other credit. I think you can also get transfer credit from other colleges, but I’m not 100% sure (don’t have any transfer credit myself).</p></li>
<li><p>Same as 1., you can take an ASE. Another option is to take 18.022, a more advanced version of 18.02 (which is what I’m doing).</p></li>
<li><p>There is 18.089 (Review of Mathematics) but that’s mostly for grad students. MIT is hard, so I doubt there’s any other way to “review” all of 18.02, 03, 06 all in one course at MIT.</p></li>
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<p>In my opinion, taking 18.022 rather than the ASE doesn’t really have any strategic advantage. You wouldn’t be learning new material, but rather spending an additional half year to do harder and more in-depth questions. In that time, you could take another more advanced class with new stuff AND hard, in-depth questions. </p>
<p>Then again, since freshman year is a major transitional period, taking an easier class (i.e. one in which you already know the concepts) would help boost your confidence and give you more time to explore other interests. Upper-level classes are significantly more difficult than GIRs IMO… no matter how bad-ass you think you are, you only have so much time and energy, and struggling desperately to develop key problem-solving skills during your first semester can screw with your head for the remainder of MIT.</p>
<p>But since I’ve learned it now, wouldn’t the ASE be bone-crushingly hard 9 months after I learned the material?</p>
<p>happilywallowing, what do you think of having 3 Normal Level Courses, with 1 Advanced Mathematics Course that would obviously be harder.
Personally, I don’t want to waste time when I know I could be progressing.</p>
<p>Welp, “progressing” is such a relative term depending on what major you wanna be. If you can ASE 18.02, I’d suggest taking 18.03 in its place. It’s a SUPER useful class, since many majors (2, 6, 8, 20, 16, 1, 18…) will require it. It’s actually not a hard class (on par with 18.02) either, and it’s not unusual for people to take 18.03 after ASE’ing 18.02. The harder version is 18.033.</p>
<p>Either you know the material, and you can pass the ASE, or you don’t and you should just take the class again. If you’re afraid you might forget the material, then you can always review a bit the summer before you come here.</p>