This is the first part of a two course graduate sequence in analytical methods to solve ordinary and partial differential equations of mathematical physics. Review of Advanced ODE’s including power ...

Partial differential equations (PDEs) are used to model complex dynamical systems in multiple dimensions, and their parameters often have important scientific interpretations. In some applications, ...

The Comprehensive Exam tests knowledge of graduate-level mathematics. The purpose is to ensure that each student has the necessary knowledge to conduct research in his or her area of concentration.

Mathematical models can be useful to developmental biologists, in particular in helping to bridge the gap in understanding between proposed molecular interactions inside and between cells and their ...

SIAM Journal on Applied Mathematics, Vol. 67, No. 1 (2006), pp. 24-45 (22 pages) We present an ordinary differential equation mathematical model for the spread of malaria in human and mosquito ...