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

SIAM Journal on Applied Mathematics, Vol. 42, No. 5 (Oct., 1982), pp. 1157-1173 (17 pages) A necessary and sufficient condition is established for the existence of a 1-1 transformation of a system of ...

It is shown that the solutions of certain classes of nonlinear ordinary and partial differential equations may be represented in terms of the maximum operation applied to the solutions of associated ...

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 ...