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Author Topic: Multivariable Calculus - Formula Suggestions?
Phanto
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So tomorrow I have the final for a multivariable calculus course my major is making me take. I've been doing surprisingly well, and the teacher lets us write down one page of notes for each test with whatever we want whatsoever.

Dutifully, I copied about 50 formulas that we encountered this semester but due to my freakishly small handwriting still have some space left on the page.

Then I learned that the professor decided to give us two pages of notes. *groan!*

Anyone have any formula suggestions that might prove useful?

Topics on this test from the last chapter are:

Vector Fields (curl, divergence)
Line integrals - fundamental theorem, independence of path, conservative fields
Green's Theorem, divergence, flux
Surface Integrals, Flux vector field
The Divergence Theorem

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TheGrimace
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I've always found the trig function derivatives/integrals to be useful. The basic ones like sin and cos are easy to remember, but the others get trickier (and I usually had to refer to the cover of my textbooks for those).

apart from that it's been enough years that I forget which formulae were important. (sorry)

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natural_mystic
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I's suggest copying some representative problems and solutions in the space- both from hw and from lectures. A friend of mine teaches this course and his exam structure was to have a few questions requiring the student to know definitions, a few questions from previous hws and then a few questions requiring deeper understanding.
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Xavier
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Yeah, I always put in examples when allowed to bring a notes page.

And in the classes that did not allow that, there are plenty of places in a graphing calculator to store equations and such. Great trick, that.

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rivka
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quote:
Originally posted by Xavier:
And in the classes that did not allow that, there are plenty of places in a graphing calculator to store equations and such. Great trick, that.

It's called "cheating". [Razz]
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Xavier
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Oh no. I guess I'll have to send back my degree [Frown] .
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mr_porteiro_head
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Really?
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theamazeeaz
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Transformations between cartesian and spherical and polar coordinates.
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TheGrimace
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wait, when did you have a calculus class which allowed calculators? The only match class I've taken past Algebra 2 in HS which allowed calculators was (possibly) Linear Algebra, and I'm not even sure on that one.

Calc 1,2 & 3 and Diffeq 1&2 they always made sure we didn't need them (probably to avoid that kind of thing)

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Xavier
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quote:
wait, when did you have a calculus class which allowed calculators? The only match class I've taken past Algebra 2 in HS which allowed calculators was (possibly) Linear Algebra, and I'm not even sure on that one.
It's been quite a few years since I was an undergrad, and have forgotten which classes allowed graphing calculators and which ones did not. Thinking back, I'm betting they weren't allowed in my calculus classes. My calculator at the time could do derivatives and integrals (TI-89), which would have been a far greater degree of cheating than anything I did.
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fugu13
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Higher level calculus classes I was in generally allowed an index card of notes and a graphing calculator (your choice).

Of course, I never brought either. Part of the reason they were allowed was, the problems were mostly chosen such that having such things was very little help, if any. Almost everyone else still brought them, though.

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Sean Monahan
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In my computer science program, 10 years ago at MTSU, we were recommended to have a graphing calculator (and strongly recommended in specific to have the TI-89) for Calc I, II, III, and Diff. Equations. Having one actually afforded little opportunity for cheating (mostly by the phrase "show your work").
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