S343 | ALL | Tba

S343 Honors Introduction to Differential Equations with Applications (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.