Which of these courses to take if one intends to go to grad school in pure math (rank please) could you rank these classes in terms of necessity to take if I intend to pursue a Ph.D in pure math? I don't know if I can fit everything, but I want to make sure I take the most important ones:
Ordinary Differential Equations
Geometries
Applied Regression Analysis
Chaotic Dynamics
Probability
Introduction to Statistical Inference
Set Theory
Elementary Theory of Numbers
Real Analysis I
Real Analysis II
Advanced Linear Algebra
Combinatorial Theory
Fourier Series and Boundary Value Problems
Abstract Algebra I
Abstract Algebra II
Differential Geometry
Functions of a Complex Variable
Topology
Applied Analysis
Thank you in advance~~

I'd add Ordinary Differential Equations to the list. Imho it is a must for anybody who wants to become a mathematician. DE crop here there and everywhere, sort of most basic ideology in many parts of maths.  Besides to go to many other courses like Fourier Series and Boundary Value Problems, Differential Geometry and Chaotic Dynamics seems to me strange without at least some preliminary knowledge in DE.
