Introduces ordinary differential equations, systems of linear equations, matrices, determinants, vector spaces, linear transformations, and systems of linear differential equations. Prereq., APPM 1360 ...

Proceedings: Mathematical, Physical and Engineering Sciences, Vol. 461, No. 2060 (Aug., 2005), pp. 2451-2476 (26 pages) A method for finding general solutions of second-order nonlinear ordinary ...

Nonlinear partial differential equations (PDEs) characterise a wide range of complex phenomena in science and engineering, from fluid dynamics to signal processing in biomedical systems. In recent ...

Sometimes, it’s easy for a computer to predict the future. Simple phenomena, such as how sap flows down a tree trunk, are straightforward and can be captured in a few lines of code using what ...

In this article we study a class of stochastic functional differential equations driven by Levy processes (in particular, α-stable processes), and obtain the existence and uniqueness of Markov ...

To give you experience solving larger, more difficult problems involving multiple concepts, there will be three computer-based projects assigned during the semester. Suggested software is Matlab, ...