An introduction to PDE's with applications to selected classical problems in physics and engineering. Linear and quasi-linear first order equations, derivation of some of the classical PDE's of physics, and standard solution techniques for boundary and initial value problems. Preliminary topics such as orthogonal functions, Fourier series and variational methods are introduced as needed. F Math 416 Complex Variables Introduction to the theory of analytic functions. Contains the classic results on line integrals, power series, residues, conformal mapping, etc.
Material is very pretty and also applicable to physics and engineering.
I Study of the topological foundations of analysis, especially metric space topology. An excellent preparatory course for graduate study. 411 S Math 418 Introduction to Topology and Modern Analysis II Continuation of Math 417, with emphasis on abstract general topology. This a good successor course to Math 320 for those wishing a solid introduction to modern statistics. Spring 2000 version willl also involve a 1 hour weekly computer lab.