Degrees Offered
Ph.D in Mathematics, M.Sc. in Mathematics, M.Sc. in Applied Mathematics
Graduate Courses
Math 550. Dynamical Systems I
Comprehensive Exam course. Linear and nonlinear systems and their dynamical behavior.
Math 551. Dynamical Systems II
Discrete and continuous dynamical systems, in finite and infinite dimensions.
Math 553. Partial Differential Equations
Comprehensive Exam course. Classical theory of the wave, diffusion and potential equations.
Math 554. Linear Analysis and PDEs
Spectral theory for differential operators, distributions, Fourier transforms, Sobolev spaces, and semigroup theory. Applications to elliptic, parabolic and hyperbolic partial differential equations, including the potential, diffusion, wave and Schroedinger equations. Aimed at engineering and mathematics students.
Math 555. Nonlinear Analysis and PDEs
Topics in nonlinear PDEs. Students may take this course more than once.
Math 556. Methods of Mathematical Physics
Aimed at engineering and applied mathematics students. Emphasizes functional analysis and applications to ordinary and partial differential equations arising in science and engineering.
Math 558. Methods of Applied Mathematics
A thorough introduction to modern methods of applied mathematics, including nondimensionalization and scaling analysis, regular and singular asymptotics, analysis of multiscale systems, and analysis of complex systems, with applications to science and engineering. The mathematical frameworks will include ordinary, partial and stochastic differential equations, point processes, and Markov chains.
Math 595. Topics in Mathematics
Advanced topics course.
Associated Courses
Math 552. Numerical Methods for PDEs
Taught by Computer Science.
Math 559. Asymptotic Methods
Taught by Mechanical Science and Engineering.