20394 Partial Differential Equations 1
Credits: 6 advanced credits in Mathematics
Prerequisites: Students must fulfill all English requirements and take bibliographic instruction in the Library.
Required: Infinitesimal Calculus I, Infinitesimal Calculus II, Infinitesimal Calculus III, Linear Algebra I, Ordinary Differential Equations I, as well as having accumulated at least 36 credits in Mathematics
The course, based on Introduction to Partial Differential Equations and Boundary Value Problems, by R. Dennemeyer (McGraw-Hill, 1968), was developed by Zippy Berger.
The course is relevant to students of Mathematics and Physics. It begins with an introduction to first order partial differential equations, and continues with a detailed discussion of the classic initial value and boundary value problems of Mathematical Physics related to the Laplace equation, the wave equation and the heat equation.
Topics: Introduction to partial differential equations; First order equations; Linear second order equations; Elliptic differential equations; The wave equation; The heat equation.
1A short non-credit seminar may be added to this course. See note under Mathematics seminars.