Control Theory
Desired background:ÌýUndergraduate courses in ordinary differential equations, partial differential equations, complex analysis, and some experience with scientific computation.
Opportunity to learn about the field:ÌýFor students with no previous background in control theory, a bridging graduate course,ÌýAMATH 655ÌýControl Theory, is taught each winter term.
Differential Equations and Dynamical Systems
Desired background:ÌýAn undergraduate course in ordinary differential equations. Background in partial differential equations and/or dynamical systems is required for some projects.
Environmental and Geophysical Fluid Dynamics
Desired background:ÌýUndergraduate courses in fluid dynamics and partial differential equations, and some experience with scientific computation.
Opportunity to learn about the field:ÌýFor students with no previous background in fluid dynamics, a bridging graduate course,ÌýAMATH 663ÌýFluid Dynamics, is taught each fall term.
General Relativity and Cosmology
Desired background: An undergraduate course in general relativity.
Opportunity to learn about the field:ÌýFor students with no previous background in general relativity, a bridging graduate course,ÌýAMATH 675ÌýGeneral Relativity, is taught each winter term.
Mathematics in Biology and Medicine
Desired background:ÌýAn undergraduate course in ordinary differential equations and some experience with scientific computation and biology. Background in partial differential equations is required for some projects.
Quantum Theory
Desired background:ÌýAn undergraduate course in quantum theory.
Opportunity to learn about the field:ÌýFor students with only a limited knowledge of quantum theory, a bridging graduate course,ÌýAMATH 673ÌýQuantum Mechanics, is taught each fall term.
Scientific Computation
Desired background:ÌýAn undergraduate course in scientific computation.
Opportunity to learn about the field:ÌýAn introductory graduate course,ÌýAMATH 741ÌýNumerical Methods for Partial Differential Equations, is taught each winter term.
Signals and Images
Desired background:ÌýNo specialized knowledge of the field is required.