A candidate for the master’s degree in mathematics must fulfill the following departmental requirements: either 36 points of coursework and a grade of at least B on the written comprehensive examination, or 32 points of coursework and a master’s thesis completed under the supervision of a faculty member and approved by the department. Under both options, students may be able to transfer up to 8 points of credit (usually equivalent to two CIMS courses) from other academic institution.
Coursework: The master’s degree in mathematics encompasses the basic graduate curriculum in mathematics, and also offers the opportunity of some more specialized training in an area of interest. A typical master’s program will involve basic courses in real analysis, complex analysis and linear algebra, followed by other fundamental courses such as probability, scientific computing, and differential equations. Depending on their mathematical interests, students will then be able to take more advanced graduate courses in pure and applied mathematics. In this regard, students are required to take eight courses (24 credits) from the list below. All four courses in Group I: MATH-GA 1410 Introduction to Math Analysis I, MATH-GA 2450 Complex Variables I, MATH-GA 2110, Linear Algebra I, MATH-GA 1002, Multivariable Analysis; two courses from Group II: MATH-GA 1420 Introduction to Math Analysis II, MATH-GA 2460, Complex Variables II, MATH-GA 2120, Linear Algebra II, MATH-GA 2901, Basic Probability,MATH-GA 2043, Scientific Computing, MATH-GA 2470, Ordinary Differential, Equations; and two additional courses from Group II or Group III: MATH-GA 2010, Numerical Methods I, MATH-GA 2020, Numerical Methods II, MATH-GA 2130, Algebra I, MATH-GA 2210, Number Theory, MATH-GA 2310, Topology I, MATH-GA 2350, Differential Geometry I, MATH-GA 2490, Partial Differential Equations I, MATH-GA 2550, Functional Analysis, MATH-GA 2563, Harmonic Analysis, MATH-GA 2701, Methods of Applied Math, MATH-GA 2702, Fluid Dynamics, MATH-GA 2902, Stochastic Calculus, MATH-GA 2911, Probability; Limit Theorems I, MATH-GA 2962, Mathematical Statistics, must be taken. Advanced students may take certain substitute courses at the discretion of the Director of Graduate Studies.