Hi all. I'm an econ major student, and I plan to get a PhD of macro or finance.
This year, I've got chance to take math classes, so I'd like to take many as I can.
I need your suggestions about my math class selection listed below.
Real Analysis1&2
Covers:Lp spaces, Fubini theorems, Radon-Nikodym, Riesz representation, Lax–Milgram theorem, Hilbert spaces and Fourier transforms
General Topology
Covers:Metric space, Topological space
Stochastic Process
Covers:Martingale, Stochastic Integral, Martingale central limit theorem, Stochastic processes and statistical asymptotic theory
Complex Analysis
Functional Analysis
Lebesgue Integral
Vector Analysis
Numerical Analysis
Partial Differential Equation
Differential Equation and Mathematical Modelling
Asymptotic Statistics
Covers: A. W. van der Vaart: Asymptotic Statistics
Amazon.com: Asymptotic Statistics (Cambridge Series in Statistical and Probabilistic Mathematics) (9780521784504): A. W. van der Vaart: Books
Statistical Inference
Covers:Point estimation
I plan to take Real Analysis, General Topology, Stochastic Process, Complex Analysis, Numerical Analysis, DE and modelling, Asymptotic Statistics, Functional Analysis, but I'm not sure what I should take.
It would be really appreciated if anyone could pick out the classes would be helpful in applying and surviving PhD Econ.
Thank you very much!!