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Graduate Course Descriptions

We offer the following graduate level courses. Some courses are taught annually, while others are taught less frequently. For some courses, the content may vary as determined by the instructor.

21-600 Mathematical Logic I
21-602 Introduction to Set Theory
21-603 Introduction to Model Theory
21-604 Introduction to Recursion Theory
21-605 Teaching Mathematics
21-606 Mathematics Course Design
21-610 Algebra I
21-611 Topics in Algebra
21-620 Real Analysis
21-621 Introduction to Lebesgue Integration
21-622 Finite-Dimensional Analysis
21-623 Complex Analysis I
21-624 Topics in Analysis
21-630 Ordinary Differential Equations
21-633 Mathematical Techniques in Engineering
21-640 Functional Analysis
21-651 General Topology
21-660 Introduction to Numerical Analysis I
21-661 Numerical Solution of Partial Differential Equations I
21-662 Numerical Solution of Partial Differential Equations II
21-679 Foundations of Probability
21-680 Topics in Probability
21-690 Fundamentals of Optimization

21-700 Mathematical Logic II
21-701 Discrete Mathematics
21-702 Set Theory II
21-703 Model Theory II
21-715 Commutative Algebra
21-720 Measure and Integration
21-721 Probability
21-724 Sobolev Spaces
21-725 Intermediate Topics in Analysis
21-732 Partial Differential Equations I
21-737 Probabilistic Combinatorics
21-738 Extremal Combinatorics
21-741 Nonlinear Functional Analysis
21-742 Calculus of Variations
21-743 Control Theory
21-759 Differential Geometry
21-760 Numerical Analysis I
21-761 Finite Difference Methods
21-762 Finite Element Methods
21-765 Intro Parallel Computing and Scientific Computation
21-770 Introduction to Continuum Mechanics
21-772 Fluid Dynamics

21-800 Advanced Topics in Logic
21-801 Advanced Topics in Discrete Mathematics
21-803 Model Theory III
21-804 Seminar in Mathematical Logic
21-805 Lambda Calculus
21-810 Advanced Topics in Algebra
21-820 Advanced Topics in Analysis
21-830 Advanced Topics in Partial Differential Equations
21-832 Partial Differential Equations II
21-860 Advanced Topics in Numerical Analysis
21-870 Advanced Topics in Continuum Mechanics
21-880 Advanced Stochastic Calculus I
21-881 Advanced Stochastic Calculus II
21-882 Advanced Topics in Financial Mathematics
21-890 Advanced Topics in Operations Research

21-900 Reading and Research
21-901 Master Degree Research
21-902 Doctoral Thesis Research

Selected Courses in the Tepper School of Business

47-720 Seminar in Finance I
47-721 Seminar in Finance II
47-724 Seminar in Finance IV
47-800 Microeconomics
47-830 Integer Programming (6 units)
47-831 Graphs and Network Flows in Operations Research (12 units)
47-832 Linear Programming (6 units)
47-838 Advanced Linear Programming (6 units)

Selected Courses in the Department of Statistics

36-703 Intermediate Probability
36-705 Intermediate Statistics
36-707 Regression Analysis
36-755 Advanced Statistical Theory I
36-756 Advanced Statistical Theory II

See the Department of Statistics course descriptions for more information.

Selected Courses in the School of Computer Science

15-754 Complexity Theory
15-758 Pure and Applied Logic
15-850 Advanced Topics in Theory