Intro to differential equations, slope fields, solution curves, existence and uniqueness, and seperable equations (topics from Section 1.1-1.5).
Models, qualitative analysis, second order linear equations, general solutions of linear equations, and homogeneous equations with constant coefficients (topics from Section 2.1-2.3 and 3.1-3.3).
Linear differential equations, homogeneous solutions, particular solutions, vibrations, resonance, and endpoint problems (topics from Section 3.4-3.6 and 3.8).
Power series method, ordinary points, regular singular points, the method of Frobenius.
First-order systems and stability.