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\large MA483--Differential equations II \\
Introduction to partial differential equations
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\medskip

This will be an introductory course in partial differential equations
which is targeted at advanced undergraduates in mathematics, science  and
engineering and beginning graduate students in engineering.  In this
course, we will introduce the most important examples of partial
differential equations: first order hyperbolic equations, heat
equation, wave equation and Laplace's equation.  We will study how
these equations arise in physics and engineering applications and  indicate how
to use symmetry methods and separation of variables to find 
solutions.  Some time will also be spent discussing  numerical
methods and  approximating solutions. 

If time permits, we will consider eigenvalues of differential
operators and other  topics depending on the interests of the class.

The text for the course will be:  \em Introduction to partial
differential equations, \rm  by  Walter Strauss. 

The prerequisite for this course is a background in Advanced calculus such
as MA432 or MA471.

For additional information, please contact the instructor.

\begin{flushleft}
Russell Brown \\
Department of mathematics\\
POT 741\\
257--3951\\
rbrown@ms.uky.edu\\
http://www.ms.uky.edu/$\sim$rbrown/ma483
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\begin{center} \large MA533--Introduction to partial differential equations
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\medskip
MA 533 is an introduction to the theory of partial differential equations.
We will cover first order equations from several points of view and
then we will study prototypical second order equations of elliptic,
parabolic and hyperbolic type which model, respectively, electrostatics,
heat diffusion and wave motion. The essential prerequisite for this
course is a working knowledge of advanced calculus. 

\begin{flushleft}
Ronald Gariepy\\
Department of mathematics\\
257-6797\\
gariepy@ms.uky.edu
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Note: The main distinction between these two courses is the level of 
mathematical sophistication expected of the students. MA483 is
intended  for beginning graduate students  in science and engineering
and advanced undergraduates. MA533 is directed at graduate students in
mathematics and other graduate students with a strong background in
mathematics.

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