Continuation of APPM 5470. Advanced study of the properties and solutions of elliptic, parabolic, and hyperbolic partial differential equations. Topics include the study of Sobolev spaces and ...

Ordinary differential equations (ODEs) and difference equations serve as complementary tools in the mathematical modelling of processes evolving in continuous and discrete time respectively. Together ...

Delay differential equations (DDEs) extend classical ordinary differential equations by incorporating dependencies on past states. This inclusion of time delays is critical for accurately modelling ...

I just read a very insightful NY Times article entitled The Wrong Way to Teach Math by Andrew Hacker, a Professor Emeritus at Queens College in NY. Hacker teaches political science and mathematics and ...

Proceedings of the American Mathematical Society, Vol. 99, No. 4 (Apr., 1987), pp. 726-732 (7 pages) We study a differential equation with the argument 2[ (t + 1)/2 ], where [ · ] denotes the greatest ...