<p>I want to do good in Calculus III. Any ideas for books, resources, videos, websites, etc… to use to study for calculus III? What do I need to know for Matlab? </p>
<p>Thanks!! :D</p>
<p>Gauss’ Theorem
Green’s Theorem
Stokes’ Theorem</p>
<p>Everything essentially builds to this. Paremetrizations, Mapping, and the ability to work in Polar, Spherical, and Cylindrical Coordinates. Its not a tough course, just make sure you practice, practice, practice.</p>
<p>For MATLAB, I would simply just get an Introduction to MATLAB text from the local library, and work through it. </p>
<p>Good Luck!</p>
<p>^Would it be a crime if I said my school posts up those theorems under Linear Algebra and the calculus III curriculum says otherwise. </p>
<p>Calculus III @ my school: Vectors, infinite series, Taylor’s theorem, solid analytic geometry, partial derivatives, multiple integrals with applications. </p>
<p>Linear Algebra @ my school: Matrix theory, linear equations, Gauss elimination, determinants, eigenvalue problems and first order systems of ordinary differential equations, vector field theory, theorems of Green, Stokes, and Gauss.</p>
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<p>for preparation for calc 3 i would review all the integration techniques and just remember the basics of each one. you’ll be doing double and triple integration. not so bad though imo. setting up the integrals is the hardest part, not so much evaluating. go back to the dreaded delta-epsilon proof…yes, this time you’ll be doing it in 3D, however your prof proves it, just memorize the damn thing. don’t try to learn “why”. everything else in calc 3 is just calc 1, but with the extra dimension z. less intense than calc2.</p>
<p>Gauss’ Theorem, Green’s Theorem, Stokes’ Theorem is what makes calculus. everything before it was just “prep”. my prof said it was basically the most important chapter of all calc.</p>
<p>You need to know what you learned in Calc 1 and 2…</p>
<p>About the Delta Epilson proof. I only learned in HS Calculus but I had to take Calculus in college again and the professor said it wasn’t important and we skipped it. I don’t remember the proof :(</p>
<p>directional derivatives, tangent planes, max/min for 3d, taylor series for 3d, lagrange multiplier method, double and triple integration, vector fields, Green/Gauss/Stokes theorems (important). hope it helps</p>
<p>Calc 3 is not hard. I suggest you master basic vectors, and a few calc 2 topics like U substitution, Integration byParts, Trig Sub, etc. Once you know these, the rest of the class really will fall into place. I don’t think you need to do advanced study.</p>
<p>this thread is as old @ hell, but I’ll add my advice (I’m a sucker for these types of threads):</p>
<p>Memorizing the anti-derivatives and being able to do all of the integration techniques you learned in calc II isn’t very important in calc III. The point of the course isn’t to integrate arbitrarily hard functions.</p>
<p>Things that are important:</p>
<p>1) having a good feel for limits–the def’ns of the derivative and integral both use limits. being able to do all of the ɛ-δ proofs isn’t too important (you prob. won’t have to do proofs in calc III), but it is important to understand why the definition is crafted as such. it may be worth reading over that section in your calc text</p>
<p>2) knowing what a derivative is–revisit the definition and make sure you can see how all the other things you know about the derivative (slope, rate of change, etc) follow from f’(x) = lim h->0 [f(x+h) - f(x)]/h</p>
<p>3)knowing that the integral is the limit of the riemann sum as the partitions of the interval you want to integrate get smaller and smaller. this is important because “area under the curve” isn’t a good way to look at some of the problems in calc III. </p>
<p>4) getting straight that integrals and antiderivatives are two separate things, and it is only a theorem that relates one to the other (the fundamental theorem of calculus–which says that evaluating the difference of the anti-derivative at the endpoints gets you the value of the integral). in calc III, you’ll learn and use more high-tech versions of that theorem.</p>
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<p>You probably won’t be asked to do them, and you can get by and actually do well in the class without really understanding them, but I find that understanding a little bit of what they are about makes everything else in the class easier. A lot of machinery in calculus uses the notion of a limit . . .</p>
<p>Wow thanks a lot. I’m just worried because I’m more of an algebraic approach person than a graphs/visualization/limits person-- which seems to be most of this course.</p>
<p>Your point about the integral and the antiderivative had me thinking because I’m abashed to admit, I didn’t think there was a difference >.<</p>
<p>Well, Calculus I and II :)</p>
<p>^^That’s what I said! Haha…</p>
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