MATH 340 Ordinary Differential Equations

This course will focus on theoretical qualitative and quantitative analyses of ordinary differential equations, from a modern perspective, using analytical, graphical, and numerical points of view. Topics can include: first-order linear and nonlinear differential equations, first order linear systems, second-order linear differential equations, autonomous differential equations and their bifurcations boundary value, problems solutions using infinite series, Laplace transforms, and various numerical approximation techniques.