18.036 Differential Equations
Study of ordinary differential equations (ODEs), including modeling physical systems. Solution of first-order ODEs by analytical, graphical, and numerical methods. Linear ODEs, primarily second order with constant coefficients. Complex numbers and exponentials. Inhomogeneous equations: polynomial, sinusoidal, and exponential inputs. Oscillations, damping, resonance. Fourier series inputs; resonant terms. Matrix methods: eigenvalues and eigenvectors, matrix powers and exponentials. Applications to linear systems. Nonlinear autonomous systems: critical point analysis, phase plane diagrams, applications to modeling. Enrollment limited.
This class has no prerequisites.
This class counts for a total of 12 credits.
You can find more information at the 18.036 Class Site site.
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