MSc in Mathematics

Tufts Department of Mathematics has numerous research clusters constituting particular areas of strength, including:

• Algebra, Representation Theory, Algebraic Geometry
• Analysis and PDEs
• Computational and Applied Mathematics
• Dynamical Systems
• Geometric Group Theory and Topology
• Probability

Program Requirements

The Master of Science in Mathematics provides the student with basic graduate training in mathematics. M.S. students may choose widely ranging programs of study that may focus on pure or applied mathematics. The coursework in each case prepares the student for employment in the mathematics profession either in academia, in government, in business and industry, or to pursue further graduate education. Completion of the program requires grades of B- or better in all courses.

Course requirement

Ten (10) courses in total, with at least four courses numbered above 200 with the following to ensure breadth:

• 3 courses: 1 in each of 3 distinct areas 1-5 given below, 2 of which are at the 200 level. A passing grade on the corresponding PhD qualifying exam would satisfy the breadth requirement, but note that the 10-course credits are still needed for the degree.
• 5 courses: Any regularly numbered math course above 120.
• 2 courses: Elective courses which can be any math course numbered above 100 OR "related fields" courses. This will include upper-level, mathematically significant courses in CS, Physics, Economics. Please see the list of courses that have already been approved and disapproved of in this category. If a course is not listed there, then a student can ask the Graduate Committee to approve it as an elective course.

Master's students must complete at least two courses (not counting thesis) each semester until five courses counting towards the degree are satisfactorily completed unless this requirement is waived by the graduate committee.

Areas

• Analysis: 211, 212, 213, 136
• Algebra: 215, 216, 146
• Geometry/topology: 217, 218, 167, 168
• Numerical Analysis: 226, 228 (these numbers are subject to approval), 128
• Partial Differential Equations: 251, 252 (these numbers are subject to approval), 152

Master's Thesis Option

A student fulfills this requirement by writing an expository paper on a specific topic in mathematics under the direction of a member of the department, and upon completion, presenting it before a committee of two or more faculty members. The writing of the thesis would be counted as the 2 elective credits from the ten-course requirement via course numbers 295 and 296.

Learning Objectives

Upon graduation, M.S. students will have:

• Mastery of fundamental knowledge in a broad range of mathematical areas.
• A deeper understanding in at least one particular subfield of mathematics and/or related fields
• The ability to solve problems and communicate solutions and concepts clearly and in rigorous mathematics language.
• M.S. students who have chosen the "Thesis Option" will demonstrate an ability to present and defend research work in oral, written, and graphic forms.