Thread: Define Math Courses...Part 1

Can someone provide a brief discription of the following math courses listed below?

Thanks

(1) Theory of Functions of a Complex Variable

(2) Partial Differential Equations and Applications

(3) Differential Geometry

(4) Calculus on Manifolds

(5) Differential Calculus

Brief descriptions do not work,. You need to learn it.

Originally Posted by symmetry

(1) Theory of Functions of a Complex Variable

Complex Analysis. It is Calculus using Complex (imaginary) numbers.

(2) Partial Differential Equations and Applications

A differencial equation, with several variables.

(3) Differential Geometry

What Riemann made, it is use in General Relativitty. It is a more abstract approach to what a surface is and what the next thing you asked.

(4) Calculus on Manifolds

Calculus does not only need to be done in the standard xy-plane. Meaning on a sheet, it generalizes to Manifolds which are a much more general type of structure on which Calculus can do done.

(5) Differential Calculus

Also known as Calculus I.

The other course are extremely advanced and are only studied by people going into math in full detail.