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I know they have AP Calculus, Calc I,II, and III, Mult Variable Calc, but what is after that? What if a kid was super advanced and took AP Calc in like 5th grade? Where would they be by highschool or college?? Just wondering cause I'm bored.

By Student9 (Student9) on Wednesday, August 13, 2003 - 11:40 pm: Edit

I've heard of abstract algebra afterwards

And afterwards: applying what u learned!

By Emmittsmith (Emmittsmith) on Wednesday, August 13, 2003 - 11:41 pm: Edit

Uhm there's something like algebar-precal, calc (I,II,III), multi-vari calc, differential equations, data analysis (or something like that), and then partial differential equations (which I haerd was a bitch). After that it branches out--do whatever you want! But don't quote me on this; I'm not certain.

Emmitt

By Clickspring (Clickspring) on Wednesday, August 13, 2003 - 11:57 pm: Edit

- Discrete Mathematics
- Differential Equations and Orthogonal Functions
- Abstract Algebra
- Linear Algebra
- Symbolic Algebra
- Real Analysis
- Commutative Algebra
- Topology
- Harmonic Analysis

By Clickspring (Clickspring) on Wednesday, August 13, 2003 - 11:59 pm: Edit

Oh, and by the way, Calc III is Calculus of Several Variables... it covers functions of several variables, partial derivatives, multiple integrals, etc.

By Bard (Bard) on Thursday, August 14, 2003 - 12:21 am: Edit

where does fourier analysis fit in this?

By Funkirabbi (Funkirabbi) on Thursday, August 14, 2003 - 12:21 am: Edit

Sounds insane!!! Ill never get into that stuff (I hope!!)

By Xiggi (Xiggi) on Thursday, August 14, 2003 - 12:21 am: Edit

Topology

Humm, there is this problem about 5 boxes and a fat line that cannot be crossed .....

By Aoe2guy (Aoe2guy) on Thursday, August 14, 2003 - 12:27 pm: Edit

Tensor Analysis
Game theory (cooperative and non cooperative) Graph theory (and applications with computer science)
Reimmanian(sp) Sums and theory
...and then it stretches into other fields. all advanced calculus after multivariable is still multivariable, but becomes applications like topology and game theory, things in physics etc

By Serene (Serene) on Thursday, August 14, 2003 - 12:30 pm: Edit

let's not look at these SCARY names... *_*

By Fairyofwind (Fairyofwind) on Thursday, August 14, 2003 - 12:35 pm: Edit

Don't forget complex analysis, differential geometry, linear programming

By Digmedia (Digmedia) on Thursday, August 14, 2003 - 01:27 pm: Edit

Don't forget number theory, the logic calculus variations (e.g., propositional calculus, intuitive calculus, etc), matrices and transformations, vector calculus, complex variables, combinatorics, CRYTOGRAPHY, higher-level statistics, linear and non-linear optimization, stochastic processes, symbolic logic, boundary-value problems, chaos theory (fractals and iterative functions), set theory (my favorite, actually), and all kinds of non-Euclidean realms to dwell in.

The list goes on and on and on....

I remember a real number theory class (senior year in high school) in which the first problem of our first homework assignment was to prove 1+1+1=3!?! I loved that class.

But for me, set theory is in a class of its own for being the most interesting. Logic seemed like it would be fun, but was the hardest class I ever took in grad school. There were 50 people in the class and only 2 got A's. It was so hard we had a take-home final exam.