Calc III and Applied Differential Equations Co-Recs?

<p>I am thinking about taking Calc II and Applied Differential in the same semester. Is this a bad Idea? How much of Calc III (vector Calculus) do I need for Diff Eq?</p>

<p>I think they are unrelated, or at least, not required of each other.</p>

<p>I think it’s fairly common, actually.</p>

<p>that is what I heard. Have either of you taken these classes?</p>

<p>Of course you can do it, with a little bit of self-studying.</p>

<p>Is it a good choice? I don’t really think so because ODE’s will sometimes use Taylor Expansion, partial derivatives (exact equations I believe). I would try to take Linear algebra with Calc 2 (Linear algebra has very little calculus), then calc III, then ODE.</p>

<p>Yeah the two courses have very little overlap and can be taken at the same time, but that is going to be an awful lot of math work for one semester. Those are both major math classes. It depends on your field, but you will definitely want to absolutely master differential equations and in some fields Calc III as well.</p>

<p>I am currently an electromechanical engineer, but I am transferring to become a physics major. I am trying to get my final pre-requisite completed , diff eq.</p>

<p>Thanks for everyones help!</p>

<p>In my college Cal 4 is a pre-req/co-req for differential equations.</p>

<p>Did you just make up Calc 4? I don’t know if I have ever seen anywhere with Calc 4, and never have I seen it as a requirement for diff eq. Usually calc 4 is a higher up class with a different name that engineers usually don’t have to take.</p>

<p>I don’t even know what calc III really stands for lol :D. At MIT, there’s only Calc I and Calc II (single and multivariate).</p>

<p>Maybe calc 4= calculus on steroids? (Read Calculus on Manifolds by Michael Spivak)</p>

<p>Most places Calc 1 is differential calculus and a little bit of integral calculus, Calc 2 is integral calculus and series, Calc 3 is multivariable calculus and some vector calculus. I didn’t take any Calc beyond that so I don’t know what Calc 4 would potentially be.</p>

<p>Obviously the best way is to take mult/single variable cal and linear algebra beforehand. However, depending on the rigor of the class you might be able to slide by with only a brief into to linear before that part of the material – as it’s not needed in much of it. What you do need for certain is a sound understanding of integrals and derivatives – whatever calculus class this falls into at your school should be taken beforehand. Typically I’ve seen this as cal 1 & 2.</p>

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<p>its a proof based reiteration of the topics from calc1-3, very rigorous.
Thought most schools don’t name it calc4, most name it Advanced calculus…or something or the other.</p>

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<p>Or DiffEQ? </p>

<p>Advanced Calculus tends to come after DiffEQ.</p>

<p>Yeah we had “Advanced Calculus” at UIUC, but I think only a couple of engineering majors were actually required to take it. The only one that comes to mind is Nuclear Engineering.</p>