What is Calculus IV? don't understand my university's math offerings

[peter mouganie]

[quote=SlowLearner38;819872]For the most part, yes. But I was more so wondering about the sequences/series. My Calc II class was basically split into 3 sections: First was all the integration techniques and some arc length stuff. Second was differential equations and polar coordinate/parametric equations. Then the final third was was Power/Taylor/Maclaurin series.

What about Fourrier Series?


My calc 3 was exactly like yours, if yours started with multivariable and ended with stokes and Divergence theorem, and add to that Series/ Sequences.
In our system i guess it is different because we don't enter as Freshman but as Sophomores so we take Calc 1 and Calc 2 in school, mixed with other things.

[Peot]

Originally Posted by SlowLearner38

For the most part, yes. But I was more so wondering about the sequences/series. My Calc II class was basically split into 3 sections: First was all the integration techniques and some arc length stuff. Second was differential equations and polar coordinate/parametric equations. Then the final third was was Power/Taylor/Maclaurin series.

My "Multivariable Calc" or "Calc III" class started by talking about the geometry of space...which is an intuitive place for a multivariable class to start, I think. Whatever, at the end of the day, you learn all of it.

This is pretty much standard fare for us, too. Calc 2 is Ch 6 through about midway through chapter 9 in Stewart, Calc 3 picks up there and ends with Green's and Stokes' as well as the Divergence Thm

[mrdoodler]

Originally Posted by SlowLearner38

Multivariable starts at Chapter 11 of Stewart? No parametric equations or sequences/series in your Calc II class? I thought these were an integral part of every Calc II class (pardon the pun).

For some reason in Cat II we used Thomas Calc and we did sequences and series also. For multivariable we have Multivariable Calculus stewart book, it starts from Ch 11. My teacher skipped 11 but spent quite a bit of time on ch 12, a friend of mine is taking multivariable I and his teacher is doing ch 11 and skipping 12, but basically in both classes (2 semesters) we do the whole book including 2nd order DE.

[claphands]

the accelerated two semester calc sequence for us is:
calc 1 2-8 stewart
calc 2 jumps around: 7.8, then 12.1 and .2, then 8.8, then the rest of 12, then chapter 11. finally 13-16

which is the same as what our three semester sequence covers, except divided over three semesters.

[kimbanator]

Calc IV deals with the last 2 or chapters i think of Thomas's calculus. It dealds with double integrals, triple integrals, Stoke's thoerem, Divergence theorem, flux, flow, etc... Pretty much a civil engineer's worst nightmare because he will be using all concepts in great detail later on

Is this class really necessary for Econ PhD preparation? I ask because I have limited space in my schedule for the next two quarters. I'm planning to skip Calc IV and go straight into Linear Algebra, Diff Eqn's, and Advanced Calc, which don't list Calc IV as a prerequisite. Is this advisable?

[Nanashi]

Is this class really necessary for Econ PhD preparation? I ask because I have limited space in my schedule for the next two quarters. I'm planning to skip Calc IV and go straight into Linear Algebra, Diff Eqn's, and Advanced Calc, which don't list Calc IV as a prerequisite. Is this advisable?

It is useful for electro magnetism in physics. Its absolutely useless for economics. For economics you need Chapter 1-16 from stewart. Thats it. You want to know how to double integrate and tripple integrate for probability and mathematical statistics, but knowing line integration, surface integration, green and stokestheorem is absolutely useless.