Master of Science in Mathematics

Requirements
   
1.  At least three full-credit classes, not including seminar classes, at the graduate level to be chosen in consultation with a department adviser. In addition, students whose preparation in a particular area of mathematics is deficient will be required to complete appropriate classes which will be designated by the adviser. 
2.  Attendance and participation in seminars. 
3.  A satisfactory thesis. 
4.  Students are required to give an oral presentation of their thesis and at that time to answer questions about the thesis. This presentation will be made after the thesis is in the hands of the student's committee and will be taken into account when the committee makes its decision. 

• MATH 5010.03: Introduction to Measure Theory and Integration.
• MATH 5020.03: Analytic Function Theory.
• MATH 5025.03: Commutative Algebra I.
• MATH 5040.03: Homological Algebra.
• MATH 5045.03: Advanced Algebra I.
• MATH 5051.03: Integral Geometry of Convex Bodies and Polyhedra.
• MATH 5052.03: Convexity and Fixed Point Algorithms in Hilbert Space.
• MATH 5054.03: Wavelet theory and numerical applications.
• MATH 5055.03: Advanced Algebra II.
• MATH 5056.03: Massive Networks and Internet Mathematics.
• MATH 5065.03: Algebraic Geometry.
• MATH 5066.03: Advanced Statistical Theory I.
• MATH 5067.03: Advanced Statistical Theory II.
• MATH 5070.03: Topics in Number Theory.
• MATH 5071.03: Topics in Number Theory II.
• MATH 5090.03: Probability.
• MATH 5135.03: Introduction to Category Theory.
• MATH 5136.03: Topics in Category Theory.
• MATH 5140.03: Introduction to Functional Analysis.
• MATH 5166.03: Elliptic curve cryptography.
• MATH 5170.03: General Topology.
• MATH 5180.03: Introduction to Algebraic Topology.
• MATH 5190.03: Ordinary Differential Equations.
• MATH 5195.03: Topics in Topology and Functional Analysis.
• MATH 5200.03: Ordinary Differential Equations - Qualitative Theory.
• MATH 5220.03: Introduction to Partial Differential Equations.
• MATH 5230.03: Partial Differential Equations.
• MATH 5250.03: Asymptotic Analysis.
• MATH 5270.03: Numerical Software.
• MATH 5285.03: The Numerical Solution of Ordinary Differential Equations.
• MATH 5290.03: Mathematical Analysis of Dynamic Biological Systems.
• MATH 5300.03: Optimal Control Theory.
• MATH 5310.03: Nonlinear Programming.
• MATH 5320.03: Combinatorial Optimization.
• MATH 5330.03: Topics in Graph Theory.
• MATH 5340.03: Discrete Random Structures.
• MATH 5360.03: Combinatorial Modelling.
• MATH 5400.03: Applied Mathematics in Science and Industry.
• MATH 5410.03: Topics in Cosmology.
• MATH 5530.03: Differential Geometry.
• MATH 5535.03: Topics in Differential Geometry.
• MATH 5650.03: Relativity and Cosmology.
• MATH 5660.03: Automata and Computability.
• MATH 5670.03/4670.03: Computer Algebra.
• MATH 5680.03: Topics in Logic and Computation.
• MATH 5800.03: Introduction to Mathematical Research.
• MATH 5900.03: Combinatorial Game Theory.