Introduction To Partial Differential Equations (With Maple), An: A Concise Course

Zhilin Li is a tenured full professor at the Center for Scientific Computation and the Department of Mathematics, North Carolina State University. His research area is in applied mathematics in general, particularly in numerical analysis for partial differential equations, moving interface/free boundary problems, irregular domain problems, computational fluid mechanics and mathematical biology, and scientific computing and simulations for interdisciplinary applications. Li has authored one monograph: "The Immersed Interface Method", two textbooks, hundreds scientific papers, and also edited several books and proceedings. Larry Norris is an emeritus professor at the Department of Mathematics, North Carolina State University. His research area includes mathematical physics; general relativity, gauge theories, unified field theories; generalized symplectic geometry. He has published a number of textbooks.

Introduction; First Order Partial Differential Equations; Solution to One Dimensional Wave Equations; Orthogonal Functions & Expansions, and Sturm-Liouville Theory; Method of Separation Variables for Solving PDE BVPs in Cartesian Coordinates; Various Fourier Series, Properties and Convergence; Series Solutions of PDEs; Fourier and Laplace Transforms; Numerical Solution Techniques; Appendices:ODE Review and Other Useful Information; Introduction to Maple;