
 Graduate Math Courses 
  Theory and applications of quasilinear and linear equations of first order, including systems, higher order linear and nonlinear equations, including classical methods of solutions of the wave, heat and potential equations, Green’s function, similarity solutions, variational techniques, etc. Prerequisite: Mathematics 180, or 115, or permission of the instructor. 
  Problems studied in this way include the most naturally formulated as integral equations over relatively high dimensional phase spaces, as well as those in which estimates of integrals of functions of a large number of variables are sought. 
  Derivation and methods for solution of model equations, heat conduction problems, simple random walk processes, simplification of model equations, dimensional analysis and scaling, perturbation theory, and a discussion of selfcontained modular units that illustrate the principle modeling ideas. 
 www.cgu.edu /pages/628.asp (2770 words) 
