Introduction to differential equations. Topics include methods of solutions for linear and non-linear first order differential equations, linear second order differential equations, higher order ...

Linear and quasilinear first order PDE. The method of characteristics. Conservation laws and propagation of shocks. Basic theory for three classical equations of mathematical physics (in all spatial ...

SIAM Journal on Applied Mathematics, Vol. 21, No. 3 (Nov., 1971), pp. 491-494 (4 pages) Let f(t,x,x') be locally Lipschitz continuous with respect to x and x'. Using differential inequality results, ...

Mathematics of Computation, Vol. 49, No. 180 (Oct., 1987), pp. 523-542 (20 pages) We present Runge-Kutta methods of high accuracy for stochastic differential ...

Here at VCF, we stumbled across a gigantic contraption that spanned several tables. Rube Goldberg machine this was not. Instead, this device actually does something useful! [Tim Robinson’s] ...

At SLU, mathematics courses are organized so that engineering and physics students can easily strengthen their degree programs by getting a minor or second major in mathematics. Since SLU’s ...