Course Information
For lecture information, including instructor and TA contact information, please see the Canvas site for this course.
Course Description
An introduction to partial differential equations focusing on equations in two variables. Topics include the heat and wave equation on an interval, Laplace’s equation on rectangular and circular domains, separation of variables, boundary conditions and eigenfunctions, introduction to Fourier series, software methods for solving equations.
Course Textbooks
Partial Differential Equations for Scientists and Engineers by Stanley J. Farlow
Description from the Dover Website: "Most physical phenomena, whether in the domain of fluid dynamics, electricity, magnetism, mechanics, optics, or heat flow, can be described in general by partial differential equations. Indeed, such equations are crucial to mathematical physics ... This highly useful text shows the reader how to formulate a partial differential equation from the physical problem (constructing the mathematical model) and how to solve the equation (along with initial and boundary conditions). Written for advanced undergraduate and graduate students, as well as professionals working in the applied sciences, this clearly written book offers realistic, practical coverage of diffusion-type problems, hyperbolic-type problems, elliptic-type problems, and numerical and approximate methods."
Applied Partial Differential Equations by J. David Logan (Available from SpringerLink)
Description from the Springer Website: "This text presents the standard material usually covered in a one-semester, undergraduate course on boundary value problems and PDEs ... covering all the major ideas: the wave equation, the diffusion equation, the Laplace equation, and the advection equation on bounded and unbounded domains. Methods include eigenfunction expansions, integral transforms, and characteristics ... The exposition is presented in a friendly, easy-to-read, style, with mathematical ideas motivated from physical problems..."