This course will be an introduction to ordinary differential equations.

Announcements

• (10/4) First recitation section today!

Recitation Notes

• Session 1 (10/04): How to solve differential equations, guessing, existence and uniqueness of solutions to ODEs, first order ODEs, integrating factors, separable differential equations, tips for writing up homework solutions.
• Session 2 (10/11): Stability of solutions, exact equations, integrating factors (revisited).
• Session 3 (10/18): The grand theorem of linear algebra, the Wronskian, independence of solutions, Abel's identity.
• Session 4 (10/25): Three approaches for nonhomogeneous linear ODEs: variation of parameters, undetermined coefficients, and power series methods.
• Session 5 (11/01): Midterm review.
• Session 6 (11/08): Laplace transforms, convolution, Dirac delta function.
• Session 7 (11/15): More on the Dirac delta, variation of parameters vs. undetermined coefficients.
• Session 8 (11/29): Nonlinear systems of equations, Lotka-Volterra equations, analysis of the nonlinear pendulum.
• Session 9 (12/06): Some extra problems and solutions.

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