Is there any higher mathematics than calculus, if so then what is it?

Answer 1

Oh yes.

Differential equations. Partial differential equations, abstract algebra, real analysis, complex analysis, topology, functional analysis, ring theory, Galois theory, algebraic topology, harmonic analysis, graph theory, etc....

Answer 2

I'd say math is shaped like a balloon. You climb up the string with pre-algebra, algebra, geometry, algebra 2, precalculus, calculus, linear algebra, differential equations. Then you're at the balloon, so you can go in lots of different directions.

You could go into Analysis, Numerical Analysis, Measure Theory, etc. Those topics take calculus to the next level. There's also Abstract Algebra (very powerful, but too big to explain here), Combinatorics (advanced counting techniques), Topology (geometry of flexible things, or maybe the shapes of spaces), Knot Theory (the study of entanglement),...

You know, a good math reference is http://mathworld.wolfram.com. It lists a lot of branches of math.

Answer 3

Absolutely. After calculus, you get into the upper-division classes in the Mathematics major, so you have a lot of options, like Differential Equations and Operations Research.

It's cool stuff. Good luck!

Answer 4

Algebras (plural), for example Lie Algebra (link below)
I learned about algebras as a part of Theory of Probability (a course normally at the beginning of the Masters level).

Geometry (not the kind we see in high school or college), where you resolve math problems by manipulating figures (usually triangles) in various types of spaces (Euclidean, spherical, curved, flat, hyperbolic). You discover that any problem that can be solved with other types of maths can be solved in Geometry, and then some more problems can be solved in Geometry, that cannot be solved otherwise.

In that same course (Theory of Probability), we used spaces with a countable infinite number of dimensions. Having problems wrapping your mind around 4 dimensions? Try an infinite number.

Even though I passed (barely), I did not continue down that "path".

Answer 5

Higher than calculus: Topology, differential geometry, tensor calculus, number theory, analysis, differential equations.

Answer 6

Yes, even in calculus you have different levels, such as vector calculus and tensor calculus. There's also differnetial equations, again with different levels. Others include matrix algebra, abstract algebra, probability, and a bunch of others I can't think of right now.

Answer 7

yes there is the is ap STAT and some other stuff that i dont know..