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Overview

Our Ph.D. program, based in New York City, follows an apprenticeship model, in which students work on a research project over multiple semesters under the close guidance of a mentor. Because we are a small Ph.D. program, we can pay maximum attention to all our students.

Course of Study

Track I (three-year course of study): 

Sample course of study for a student who enters with 60 credit-hours of graduate course work: 

• Advanced Qualifying Examination is taken
• MAT 705, repeated six times over three years

Track II (four-year course of study): 

Sample course of study for a student who enters with an M.A. in Mathematics from Â鶹´«Ã½Ó³»­ (30 credits): 

First Year:

• First semester: 9 credits of special topics
• Second semester: 9 credits of special topics
• Advanced Qualifying Examination is taken

Second, Third and Fourth Years: 

• MAT 705 is taken for six semesters

Track III (five-year course of study): 

Sample course of study for a student who enters the program with a B.A. in Mathematics: 

First Year: 

• M.A. course work (15 credits per semester)
• Basic Qualifying Examination is taken, and Master of Arts is awarded

Second Year:

• First semester: 9 credits of special topics
• Second semester: 9 credits of special topics
• Advanced Qualifying Examination is taken

Third, Fourth and Fifth Years: 

• MAT 705 is taken for six semesters

Core Requirements (4 courses / 12 credits): 

All students must complete 4 of the following courses:

• Functions of a Real Variable (3 credits)
• Functions of a Complex Variable (3 credits)
• Topology (3 credits)
• Modern Algebra (3 credits)
• Ordinary Differential Equations (3 credits)
• Partial Differential Equations (3 credits)
• Mathematical Statistics (3 credits)
• Numerical Methods  (3 credits)

These courses may be substituted with courses of similar contents with permission from program director. 

Course Descriptions 

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Advanced Qualifying Examination

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