Mathematics | Honors Introduction to Differential Equations with Applications
S343 | ALL | --

P: S212 or consent of instructor. Introduction with historical
examples. First order ODEs and applications. Second order linear
ODEs. Linear ODE's of higher order. Series solutions to linear ODEs.

In addition, some theoretical aspects will be studied in detail such
as the Picard existence/uniqueness theorem for initial-value problems
and convergence of series solutions. Throughout the course numerical
methods will be included and will be supplemented by the use of
Maple. Time permitting, construction and use of the matrix
exponential exp(tA) will also be studied.