Sample Programs of Study - Pure Mathematics

A selection of classes for the first year is determined in large part by the screening/qualifying exams. Please first check the brochure "Graduate Exams Information" (click on Brochures).
Until you have a formal advisor, you are expected to consult with the Graduate Vice-Chair before the start of each semester regarding the classes you wish to take.
Sample 1. For students with interest in Algebra/Number Theory
Year 1:
Fall:
510a (Algebra 1)
525a (Real Analysis 1)
          540 (Topology)
595  (Practicum in Teaching)
Spring:
510b (Algebra 2)
520 (Complex Analysis)
535a (Differential Geometry)
500 (Graduate Colloquium)
Year 2:
Fall: pass a screening exam in Algebra
507a (Probability 1)
555a (PDEs)
(one more)
Spring: pass written qualifying exams in Analysis and Geometry/Topology
565a (ODEs)
507b (Probability 2)
525b (Real Analysis 2)
Sample 2. For students with interest in Analysis, Differential Equations (PDEs, ODEs)
Year 1:
Fall:
507a (Probability 1)
525a (Real Analysis 1)
555a (PDEs)
          595  (Practicum in Teaching)
Spring:
520 (Complex Analysis)
541a (Statistics 1)
565a (ODEs)
500 (Graduate Colloquium)
Year 2:
Fall: pass a screening exam in Analysis
510a (Algebra 1)
          540 (Topology)
509 (Stochastic Differential Equations)
Spring: pass written qualifying exams in Differential equations and Probability/Statistics
525b (Real Analysis 2)
507b (Probability)
535a (Differential Geometry)
Sample 3. For students with interest in Geometry/Topology/Dynamical Systems
Year 1:
Fall:
510a (Algebra 1)
525a (Real Analysis 1)
          540 (Topology)
595  (Practicum in Teaching)
Spring:
510b (Algebra 2)
520 (Complex Analysis)
535a (Differential Geometry)
500 (Graduate Colloquium)
Year 2:
Fall: pass a screening exam in Algebra
507a (Probability 1)
555a (PDEs)
535a (Differential Geometry)
Spring: pass written qualifying exams in Analysis and Geometry/Topology
565a (ODEs)
507b (Probability 2)
525b (Real Analysis 2)
Sample 4. For students with interest in Probability
Year 1:
Fall:
507a (Probability 1)
525a (Real Analysis 1)
          555a (PDEs)
          595  (Practicum in Teaching)
Spring:
          525b (Real Analysis 2) (Switch this with Statistics 1 if interests are more toward statistics/applied probab.)
520 (Complex Analysis)
          507b (Probability)
500 (Graduate Colloquium)
Year 2:
Fall: pass a screening exam in Analysis
540 (Topology)
510a (Algebra 1)
          (one more)
Spring: pass written qualifying exams in Geometry/Topology and Probability/Statistics
565a (ODEs)
535a (Differential Geometry)
541a (Statistics 1) (Switch this with Real Analysis 2 if interests are more toward statistics/applied probab.)











































































Last update: August 11, 2011