Graduate Classes at the Department of Mathematics URI
It is suggested that incomming graduate students take the following core graduate classes.
The program of a particular graduate student is set in accord with
his/hers major professor.
MTH435/436 Introduction to Mathematical Analysis I/II
MTH418 Matrix Analysis
MTH513 Linear Algebra
MTH515/516 Algebra I/II
MTH525 Topology (Cannot apply both 425 and 525 toward the MS degree)
MTH535/536 Measure Theory and Integration
MTH629/630 Functional Analysis I/II
In addition, depending on student's research interests and concentration
the department offers advanced graduate classes
focused on introduction as well as on recent research in particular areas:
Difference Equations (DE)
MTH442 Introduction to Difference Equations
MTH542 Difference Equations I (*New Course*)
MTH543 Difference Equations II (*New Course*)
MTH545 Ordinary Differential Equations I
MTH546 Ordinary Differential Equations II
Difference Equations Seminar
Combinatorics and Discrete Mathematics (CB)
MT547/CSC547 Combinatorics and Graph Theory
MTH548/CSC548 Topics in Combinatorics: Graph Theory
MTH550 Probability and Stochastic Processes
MTH625 Algebraic Topology (*New Course*)
MTH656 Probability on Discrete Structures (*New Course*)
Special Topics include: Extremal Graph Theory, Ramsey Theory, Representations of Graphs, Algebraic Combinatorics
Combinatorics Seminar
Students can also take graduate classes in related areas
CSC541 Advanced Topics in Algorithms
CSC542 Mathematical Analysis of Algorithms
CSC544 Theory of Computation
IME555 Deterministic Systems Optimization
Complex Dynamical Systems (DS)
MTH455 Introduction to Chaotic Dynamical Systems (was 445)
MTH462 Function of a Complex Variable
MTH555 Chaotic Dynamical Systems (*New Course*) (Cannot apply both 455 and 555 toward the MS degree)
MTH562 Complex Function Theory (Cannot apply both 462 and 562 toward the MS degree)
MTH662 Topics in Complex Analysis (*New Course*)
Numerical PDE and Numerical Linear Algebra (NA)
MTH441 Introduction to Partial Differential Equations.
MTH471 Introduction to Numerical Analysis
MTH472 Numerical Linear Algebra
MTH571 Numerical Analysis (*New Course*) (Cannot apply both 471 and 571 toward the MS degree)
MTH572 Numerical Partial Differential Equations
MTH672 Scientific Computation (*New Course*)
Applied Analysis, Optimization and Control (AO)
MTH545 Ordinary Differential Equations I
MTH546 Ordinary Differential Equations II
MTH550 Probability and Stochastic Processes
MTH551 Mathematical Statistics
Students can also take graduate classes in related areas
ELE504 Optimal Control Theory
ELE506 Digital Signal Processing
IME555 Deterministic Systems Optimization