MATH220
Overview
Subject: Math
Course Number: 220
Department: Mathematics
Course Level: Graduate
Course Title
Introduction to Probabilistic Methods in Mathematics and the Sciences
Course Description
Brownian motion, Langevin and Fokker-Planck equations, path integrals and Feynman diagrams, time series, an introduction to statistical mechanics, Monte Carlo methods, selected applications.
Units
Minimum Units: 4
Maximum Units: 4
Prior Terms Offered
MATH221
Overview
Subject: Math
Course Number: 221
Department: Mathematics
Course Level: Graduate
Course Title
Advanced Matrix Computations
Course Description
Direct solution of linear systems, including large sparse systems: error bounds, iteration methods, least square approximation, eigenvalues and eigenvectors of matrices, nonlinear equations, and minimization of functions.
Units
Minimum Units: 4
Maximum Units: 4
Prior Terms Offered
MATH224A
Overview
Subject: Math
Course Number: 224A
Department: Mathematics
Course Level: Graduate
Course Title
Mathematical Methods for the Physical Sciences
Course Description
Introduction to the theory of distributions. Fourier and Laplace transforms. Partial differential equations. Green's function. Operator theory, with applications to eigenfunction expansions, perturbation theory and linear and non-linear waves. Sequence begins fall.
Units
Minimum Units: 4
Maximum Units: 4
Prior Terms Offered
MATH224B
Overview
Subject: Math
Course Number: 224B
Department: Mathematics
Course Level: Graduate
Course Title
Mathematical Methods for the Physical Sciences
Course Description
Introduction to the theory of distributions. Fourier and Laplace transforms. Partial differential equations. Green's function. Operator theory, with applications to eigenfunction expansions, perturbation theory and linear and non-linear waves. Sequence begins fall.
Units
Minimum Units: 4
Maximum Units: 4
Prior Terms Offered
MATH228A
Overview
Subject: Math
Course Number: 228A
Department: Mathematics
Course Level: Graduate
Course Title
Numerical Solution of Differential Equations
Course Description
Ordinary differential equations: Runge-Kutta and predictor-corrector methods; stability theory, Richardson extrapolation, stiff equations, boundary value problems. Partial differential equations: stability, accuracy and convergence, Von Neumann and CFL conditions, finite difference solutions of hyperbolic and parabolic equations. Finite differences and finite element solution of elliptic equations.
Units
Minimum Units: 4
Maximum Units: 4
Prior Terms Offered
MATH228B
Overview
Subject: Math
Course Number: 228B
Department: Mathematics
Course Level: Graduate
Course Title
Numerical Solution of Differential Equations
Course Description
Ordinary differential equations: Runge-Kutta and predictor-corrector methods; stability theory, Richardson extrapolation, stiff equations, boundary value problems. Partial differential equations: stability, accuracy and convergence, Von Neumann and CFL conditions, finite difference solutions of hyperbolic and parabolic equations. Finite differences and finite element solution of elliptic equations.
Units
Minimum Units: 4
Maximum Units: 4
Prior Terms Offered
MATH239
Overview
Subject: Math
Course Number: 239
Department: Mathematics
Course Level: Graduate
Course Title
Discrete Mathematics for the Life Sciences
Course Description
Introduction to algebraic statistics and probability, optimization, phylogenetic combinatorics, graphs and networks, polyhedral and metric geometry.
Units
Minimum Units: 4
Maximum Units: 4
Prior Terms Offered
MATH273
Overview
Subject: Math
Course Number: 273
Department: Mathematics
Course Level: Graduate
Course Title
Topics in Numerical Analysis
Course Description
Advanced topics chosen by the instructor. The content of this course changes, as in the case of seminars.
Units
Minimum Units: 4
Maximum Units: 4
Prior Terms Offered
MATH275
Overview
Subject: Math
Course Number: 275
Department: Mathematics
Course Level: Graduate
Course Title
Topics in Applied Mathematics
Course Description
Advanced topics chosen by the instructor. The content of this course changes, as in the case of seminars.
Units
Minimum Units: 4
Maximum Units: 4