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kinubinu
Posts: **3**Registered User New Member

I'm currently a student Canada and I'm considering transferring to an American school next year for engineering. What's all this talk about Calculus I, II, III, IV, etc? Does the states have a unified calculus curriculum for all the universities? In Canada, our universities go by their own course codes and it's very different. Can anyone tell me what does each course teach? I reckon Calculus I is differential calculus and basic integration, II is integration and series, III is vector and multivar, IV is ODEs?

If so, I've taken IB Math HL in high school which I guess covers Calculus I and II. And I've also taken vector and multivariable calculus in first year university as well as linear algebra. Except, I haven't been formally taught series in university yet even though I'm already past vector and multivariable calc. I've been taught it in high school but I've forgotten a large portion of it. Will I be in a big disadvantage if I transfer to somewhere in the States and am expected to know series?

If so, I've taken IB Math HL in high school which I guess covers Calculus I and II. And I've also taken vector and multivariable calculus in first year university as well as linear algebra. Except, I haven't been formally taught series in university yet even though I'm already past vector and multivariable calc. I've been taught it in high school but I've forgotten a large portion of it. Will I be in a big disadvantage if I transfer to somewhere in the States and am expected to know series?

Post edited by kinubinu on

## Replies to: Calculus I/II/III/IV - what?!

6,363Registered User Senior MemberBINGO!

I have never heard of anywhere having a Calc IV as part of their calculus sequence. Some places have a course called advanced calculus or maybe some call it Calc IV, but I have never heard of it being required except in a few isolated cases. Generally, Calc I, II, and III are required along with Differential Equations (only covers ODEs) and Linear Algebra. It seems that is the trend at most places. Some require that advanced calculus, some require PDEs (rarely have I heard of this) and some don't require Linear Algebra.

Series vary in importance with whatever major you happen to be pursuing. They sometimes get important in the advanced classes, though, especially the Taylor series and binomial expansion "series."

1,493Registered User Senior MemberPeople on CC and elsewhere commonly refer to Calc IV as being DiffEq. It's actual name isn't "Calc IV", like the others with numeric sequential names.

6,363Registered User Senior Member2,876Registered User Senior MemberCalculus I: Limits, Derivatives, Sequences and all that mess

Calculus II: Integration, Integration by parts and all that mess

Calculus III: Vectors, Gradients and all that mess

Calculus IV: Double, Triple Integrals, Green's Theorem and all that mess

Basically the quarter system spreads 3 semesters of Calculus over 4 quarters. When I was an undergrad at Michigan State, we were on quarters. That has since changed. I think only Ohio State is the only Big-10 school on quarters (tri-mesters).

161Registered User Junior MemberCalculus I: Limits, Derivatives, and all that mess

Calculus II: Integration, Integration by parts,sequences & series and all that mess

Calculus III: Vectors, Gradients and all that mess, Double, Triple Integrals, Green's Theorem and all that mess

Calculus IV: Differential equations

4,590Registered User Senior MemberGenerally Calc 4 is DiffEQ. I don't know about everywhere, but Michigan calls Real Analysis "Advanced Calculus."

2,531Registered User Senior Member262Registered User Junior MemberI think this is generally the case

81Registered User Junior MemberCalc I: Limits, derivative, sequences, and other crap

Calc II: Integration, and all the different ways to do it

Differential Equations:ODEs only

Calc III: vectors, gradients, double and triple integrals, greens and stokes theorems

50Registered User Junior Member3Registered User New MemberCalc I: Regular intro calc, derivatives, limits, integrals, etc. A 3 or a 4 on an AP calc AB exam will get you out of this.

Calc II: Sequences, series, advanced derivatives, integrals

Calc III: Differential equations & Linear Algebra

Calc IV: Multivariable / 3D calc.

However, it seems that the more universal structure and how the school I transferred from did it:

Calc I: same as above

Calc II: same as above

Calc III: Multivariable, greens, stokes, etc. (my school did multivariable in 3 months and then 1 month of an entire DiffEQ course for the semester and that counted as "Calc III".)

Linear Algebra

to the OP it's hard to say if you will be at a big disadvantage or not. A lot of what I get from my engineering peers is that if we need to know an uncommon calculus concept for something in a class everyone pretty much needs a refresher.

62Registered User Junior MemberGeneral seems to be:

I- Derivatives + applications and Integration

II- Integration applications, parametric equations and polar coordinates, sequences

III- Multivariable

My school is on the quarter system and we do things in a bizarre order:

I- Differentiation and parametric equations

II- Integration and a couple weeks of Diff Eqs

III- Basics of multivariable (partial derivatives, vectors, 3d space, double integrals, polar coordinates) and series.

IV: The theorems of multivariable, triple integrals, some other loose ends.

It works out well because most majors (including engineering) require only Calc I-III since IV is really just tying some loose ends and so most have their calculus requirement done within the first year.