MA in Mathematics, Including Statistics

Admissions Tests and Prerequisites

The candidates must have met the requirements for a bachelor’s degree with the equivalent of a concentration in mathematics or statistics. Graduate Record Examination (GRE) results including the Mathematics Subject Test are required. For more information, see the Graduate Admissions FAQ at the Mathematics & Statistics website.

Course Requirements

Eight semester courses (32 credits) approved for graduate study are required; these should constitute a coherent program relevant to the objectives of the student. Ordinarily, all courses are in mathematics, or probability and statistics. However, students may petition the departmental graduate committee to use courses from other departments to partially satisfy this requirement.

Comprehensive Examination

This examination, which is offered in April of each year, serves as a master’s degree examination. The student may choose to take the examination either in mathematics or in statistics. Students judged to be inadequately prepared for the first examination are allowed to take the examination again. More detailed information is provided upon admission.

Courses

Statistics and Mathematics courses are listed separately.

Mathematics

  • CAS MA 505 History of Mathematics
  • CAS MA 511 Introduction to Analysis I
  • CAS MA 512 Introduction to Analysis II
  • CAS MA 528 Introduction to Modern Geometry
  • CAS MA 531 Mathematical Logic
  • CAS MA 532 Foundations of Mathematics
  • CAS MA 539 Methods of Scientific Computing
  • CAS MA 541 Modern Algebra I
  • CAS MA 542 Modern Algebra II
  • CAS MA 547 Topics in Number Theory
  • CAS MA 548 Problem Solving in Number Theory
  • CAS MA 549 Geometry and Symmetry
  • CAS MA 555 Numerical Analysis I
  • CAS MA 556 Numerical Analysis II
  • CAS MA 557 Mathematical Structures in Physics I
  • CAS MA 561 Methods of Applied Mathematics I
  • CAS MA 562 Methods of Applied Mathematics II
  • CAS MA 563 Introduction to Differential Geometry
  • CAS MA 564 Introduction to Topology
  • CAS MA 565 Mathematical Models in the Life Sciences
  • CAS MA 566 Geometric Methods in Mechanics
  • CAS MA 569 Optimization Methods of Operations Research
  • CAS MA 570 Stochastic Methods of Operations Research
  • CAS MA 573 Qualitative Theory of Ordinary Differential Equations
  • CAS MA 574 Applied Nonlinear Dynamics
  • CAS MA 577 Mathematics of Financial Derivatives
  • CAS MA 584 Multivariate Statistical Analysis
  • CAS MA 588 Nonparametric Statistics
  • CAS MA 590 Introduction to Probability Theory

Directed Study & Research

  • GRS MA 647 Research Methods in Mathematics I
  • GRS MA 648 Research Methods in Mathematics II
  • GRS MA 665   Introduction to Modeling and Data Analysis in Neuroscience
  • GRS MA 666 Advanced Modeling and Data Analysis in Neuroscience
  • GRS MA 671 Chaotic Dynamical Systems
  • GRS MA 699   Teaching College Mathematics I
  • GRS MA 711 Real Analysis
  • GRS MA 713 Functions of a Complex Variable I
  • GRS MA 717 Functional Analysis
  • GRS MA 721 Differential Topology I
  • GRS MA 722 Differential Topology II
  • GRS MA 725 Differential Geometry I
  • GRS MA 726 Differential Geometry II
  • GRS MA 727 Algebraic Topology I
  • GRS MA 728 Algebraic Topology II
  • GRS MA 731 Lie Groups and Lie Algebras
  • GRS MA 741 Algebra I
  • GRS MA 742 Algebra II
  • GRS MA 743 Algebraic Number Theory I
  • GRS MA 744 Algebraic Number Theory II
  • GRS MA 745 Algebraic Geometry I
  • GRS MA 746 Algebraic Geometry II
  • GRS MA 770 Mathematical and Statistical Methods of Bioinformatics
  • GRS MA 771 Introduction to Dynamical Systems
  • GRS MA 775 Ordinary Differential Equations
  • GRS MA 776 Partial Differential Equations
  • GRS MA 779 Probability Theory I
  • GRS MA 780 Probability Theory II
  • GRS MA 783 Advanced Stochastic Processes
  • GRS MA 822 Topics in Geometry and Topology
  • GRS MA 831 Topics in Mathematical Physics
  • GRS MA 841 Seminar: Algebra
  • GRS MA 843 Topics in Number Theory I
  • GRS MA 844 Topics in Number Theory II
  • GRS MA 861, 862 Seminar: Applied Mathematics
  • GRS MA 872 Seminar: Dynamical Systems
  • GRS MA 876 Seminar: Partial Differential Equations
  • GRS MA 905, 906 Directed Study: History of Mathematics
  • GRS MA 911, 912 Directed Study: Real Analysis
  • GRS MA 913, 914 Directed Study: Complex Analysis
  • GRS MA 917, 918 Directed Study: Functional Analysis
  • GRS MA 921, 922 Directed Study: Differential Topology
  • GRS MA 925, 926 Directed Study: Differential Geometry
  • GRS MA 927, 928 Directed Study: Algebraic Topology
  • GRS MA 931, 932 Directed Study: Logic and Theoretical Computer Science
  • GRS MA 941, 942 Directed Study: Algebra
  • GRS MA 943, 944 Directed Study: Number Theory
  • GRS MA 945, 946 Directed Study: Algebraic Geometry
  • GRS MA 951, 952 Directed Study: Numerical Analysis
  • GRS MA 955, 956 Directed Study: Theory of Computation
  • GRS MA 963, 964 Directed Study: Applied Analysis
  • GRS MA 967, 968 Directed Study: Mathematical Physics
  • GRS MA 969, 970 Directed Study: Operations Research
  • GRS MA 971, 972 Directed Study: Ordinary Differential Equations
  • GRS MA 975, 976 Directed Study: Dynamical Systems
  • GRS MA 977, 978 Directed Study: Partial Differential Equations
  • GRS MA 979, 980 Directed Study: Probability

Statistics

  • CAS MA 568 Statistical Analysis of Point Process Data
  • CAS MA 570 Stochastic Methods of Operations Research
  • CAS MA 575 Linear Models
  • CAS MA 576 Generalized Linear Models
  • CAS MA 577 Mathematics of Financial Derivatives
  • CAS MA 578 Bayesian Statistics
  • CAS MA 581 Probability
  • CAS MA 582 Mathematical Statistics
  • CAS MA 583 Introduction to Stochastic Processes
  • CAS MA 584 Multivariate Statistical Analysis
  • CAS MA 585 Time Series and Forecasting
  • CAS MA 586 The Design of Experiments
  • CAS MA 587 Sampling Design: Theory and Methods
  • CAS MA 588 Nonparametric Statistics
  • CAS MA 614 Statistical Methods
  • CAS MA 684 Applied Multiple Regression and Multivariable Methods
  • CAS MA 685 Advanced Topics in Applied Statistical Analysis

Directed Study & Research

  • GRS MA 750 Advanced Statistical Methods I
  • GRS MA 751 Advanced Statistical Methods II
  • GRS MA 770 Mathematical and Statistical Methods of Bioinformatics
  • GRS MA 779 Probability Theory I
  • GRS MA 780 Probability Theory II
  • GRS MA 781 Estimation Theory
  • GRS MA 782 Hypothesis Testing
  • GRS MA 791 Recent Advances in Probability and Statistics I
  • GRS MA 792 Recent Advances in Probability and Statistics II
  • GRS MA 876   Seminar: Partial Differential Equations
  • GRS MA 881   Seminar: Statistics
  • GRS MA 882 Seminar: Statistics
  • GRS MA 884 Seminar: Probability and Statistics
  • GRS MA 991, 992 Directed Study: Statistical Inference and Probability