Mathematics Department at Tufts University. Graduate Program Qualifying Exams Doctoral students must take quals in three of the six available areas: (1) Analysis, (2) Geometry, (3) Algebraic Topology, (4) Algebra, (5) PDEs, and (6) Numerical Analysis. The written prelims serve as the final exam for the M.A. Students will be awarded an M.A. in mathematics once prelims are passed and the master's program form is completed. (See Cynthia Spencer for the necessary forms) Students may also be asked to participate in the graduate students seminars. Typically students complete the Ph.D. in 4 to 6 years.

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