Mathematics | Honors Introduction to Differential Equations with Applications I
S343 | ALL | --
S343 Honors Introduction to Differential Equations with Applications I
(3 cr.) P: S212 or consent of instructor.
Introduction with historical examples. First order ODE's and
applications. Second order linear ODE's. Linear ODE's of higher
order. Series solutions to linear ODE's.
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.