Is this a good foundation for a PhD in Probability Theory?

Forum for the GRE subject test in mathematics.
ProbPHD
Posts: 1
Joined: Tue Nov 18, 2014 10:24 pm

Is this a good foundation for a PhD in Probability Theory?

Postby ProbPHD » Tue Nov 18, 2014 11:32 pm

I would have taken the following courses by graduation (Please note that my university uses the quarter system):

Lower Division:
-Single Variable Calculus (2 quarters)
-Multivariable Calculus (2 quarters)
-Introduction to Abstract Mathematics (1 quarter)
-Introduction to Linear Algebra (1 quarter)
-Elementary Differential Equations (1 quarter)

Upper Division:
-Introduction to Abstract Algebra: Groups, Rings, and Fields (2 quarters)
-Linear Algebra (2 quarters)
-Probability and Stochastic Processes (3 quarters, which means year long sequence)
-Elementary Analysis (2 quarters)
-Complex Analysis (1 quarter)
-Combinatorics (1 quarter)
-Set theory: Axiomatic development; infinite sets; cardinal and ordinal numbers. (1 quarter)
-Mathematical Logic: First order logic through the Completeness Theorem for predicate logic (1 quarter)

Also, what graduate level courses would you recommend taking?

poorasian
Posts: 35
Joined: Wed Nov 13, 2013 2:22 am

Re: Is this a good foundation for a PhD in Probability Theory?

Postby poorasian » Wed Nov 19, 2014 11:37 pm

Take as many analysis classes as you can. The logic and set theory classes aren't necessary.




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