# More than three calculus classes?

1. Oct 23, 2008

### Geekchick

Hi,

I am currently attending a community college, but I will transferring next fall. One of the universities I am looking at offers calc 1,2,3&4 as well as advanced calculus of one variable and advanced calculus of several variables both of which have calc 4 and linear algebra as prerequisites. The descriptions are as follows,

Calculus 1
Elementary functions, derivatives and their application, introduction to definite integrals

Calculus 2
Methods for evaluating definite integrals, applications of integration, improper integrals, infinite series, and introduction to differential equations

calculus 3
Functions of two or more variables, vectors in two and three dimensions, partial derivatives,
optimization, double and triple, integrals, and their applications

calculus 4
Parametric curves and surfaces, vector fields, line and surface integrals; Green's theorem, Divergence theorem, Stoke's theorem and applications, Fourier series and its applications.

Topology of the real line; continuity, uniform continuity, differentiability, integration, sequences and series functions

continuity and differentiability of functions of several variables, inverse and implicit function theorems, integration, Fubini's theorem, change of variables, teh classical integral theorems of Gauss, Green and Stokes and their generalizations.

Most of the well known universities I have looked at have looked at only have calculus of one variable, calculus of several variables, and vector calculus. So my question is since this university offers so many can that mean that they have a less rigorous program? Would it mean that it's not a good college (it's UNCC if anyone wants to know)? I know its not a highly rated university but is it bad enough to hinder my chances of getting in to a top graduate program? I would prefer to attend Duke or Reed. My grades are good I have a 3.8 GPA and I should have a 4.0 this semester. The reason I am not placing any bets on getting into Duke or Reed is because I had to take remedial classes in both English and math (I was home schooled and my parents were not concerned about my education). I had to start with introductory algebra then I did intermediate algebra and college algebra in one semester followed by Precalculus over the summer as an independent study. Now I am in calculus one but they are not offering calculus two next semester so I can either take it as an independent study or take it somewhere else I would prefer the latter. So sorry that was so long but I am really worried about all of this. My final goal would be to get my Ph.D in pure mathematics. One more down side to UNCC is that they only have a general math degree and a degree in statistics.

Last edited: Oct 24, 2008
2. Oct 23, 2008

### Nick M

At my school (UMass), engineering and physics majors take Calculus I, Calculus II, Multivariable Calculus (Calculus III), and Differential Equations.

For us, Calculus III incorporates what you guys cover in both Calculus III and IV. I'm not sure about the "Advanced" Calculus classes you have listed, as I'm in Calculus III right now.

A separate Linear Algebra class is available, which I took and recommend.

3. Oct 23, 2008

### Geekchick

thanks, yeah I plan on taking linear algebra next semester then taking differential equations over the summer.

4. Oct 23, 2008

### HallsofIvy

Staff Emeritus
Yuo should also check whether these are "semester", "quarter" or "trimester" courses.

5. Oct 23, 2008

### Geekchick

they are semester

6. Oct 23, 2008

### Geekchick

Does anyone think it would be possible for me to get into Duke or Reed?

7. Oct 23, 2008

### cristo

Staff Emeritus
What you call "calculus 4" is what is generally called vector calculus. I don't know about your other questions, since you don't give a description of the courses: "calculus of one variable" could contain anything. One way to tell would be to look at the actual descriptions of content covered in the courses at these other universities.

That's a rather impossible question to answer: no-one here can gauge the level of your education from what you've posted.

8. Oct 23, 2008

### Moonbear

Staff Emeritus
That's how my undergraduate math courses were organized as well (though I didn't continue on to Diff Eqs).

I'm not sure what to make of having Calc III (multivariable) spread over two terms. It could be that it's a slower pace than at other schools, or it could be that it goes into more depth than other schools. I wouldn't judge the quality of a program by the names of their courses.

9. Oct 23, 2008

### George Jones

Staff Emeritus
It's hard to say with complete certainty, but it looks like calculus 3 and 4 cover material in a bit more depth than often is the case in a single calculus III course. Advanced calculus looks like a bit of real analysis in one and three dimensions. Roughly, real analysis is calculus done more rigourously. I took real analysis courses.

10. Oct 23, 2008

### Geekchick

well here is my prior informations (since I would really like to know about my odds of getting into duke or reed)

Last edited: Oct 24, 2008
11. Oct 23, 2008

### Staff: Mentor

Are the courses listed as three or four semester hours each?

Most places have a three-semester calculus sequence with four hours per course. We have a four-semester sequence with three hours per course, which is supposed to be equivalent to other colleges' three-semester sequence.

12. Oct 23, 2008

### Geekchick

oh, they are 3 credits.

13. Oct 23, 2008

### Sir_Arthur

If you're considering Reed as an example of a good program bear in mind that they also have four calculus classes. Calc I, Calc II, Mulitvariable Calc I, and Multivariable Calc II. I feel like a fourth calculus class is a sign of more in-depth study, not of the first three classes being weaker. Calculus is, after all, an extremely large subject.