Notes
This page contains the lectures notes for MATH 341 Differential Equations.
Section 1 introduces the basic idea of a differential equation with an emphasis on ordinary differential equations (ODEs).
Section 2 covers first-order ODEs inlcuding slope-fields, separable equations, linear equations, integrating factors, and applications.
Section 3 covers one-dimensional dynamical system including topics such as equilibrium points, stability, phase-line, and bifurcations.
Section 4 covers second-order linear constant-coefficient ODEs and applications.
Section 5 covers the method of variation of parameters for second-order linear ODEs that do not necessarily have constant coefficients.