Ph.D. in Mathematics Curriculum
Making the World Smarter, Safer and Healthier
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 Yeshiva University (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
Download the Course Descriptions.
Advanced Qualifying Examination
Download Qualifying Examination Guidelines.
