# 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

Recommended: Complex Functions and one course in Physics

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.