Physical systems which lead to differential equations (examples include mechanical vibrations, population dynamics, and mixing processes). Dimensional analysis and dimensionless variables. Solving linear differential equations: first- and second-order scalar equations and first -order vector equations. Laplace transform methods of solving differential equations. [Offered: F,W,S] Prereq: MATH 128 or 138 or 148. Antireq: AMATH 350, MATH 218, 228