18.03 Differential Equations
Study of differential equations, including modeling physical systems. Solution of first-order ODEs by analytical, graphical, and numerical methods. Linear ODEs with constant coefficients. Complex numbers and exponentials. Inhomogeneous equations: polynomial, sinusoidal, and exponential inputs. Oscillations, damping, resonance. Fourier series. Matrices, eigenvalues, eigenvectors, diagonalization. First order linear systems: normal modes, matrix exponentials, variation of parameters. Heat equation, wave equation. Nonlinear autonomous systems: critical point analysis, phase plane diagrams.
This class has 18.02 as a corequisite.
Lecture occurs 1:00 PM to 2:00 PM on Mondays, Wednesdays and Fridays in 26-100.
This class counts for a total of 12 credits.
You can find more information at the http://www.google.com/search?&q=MIT+%2B+18.03&btnG=Google+Search&inurl=https site or on the 18.03 Stellar site.
© Copyright 2015 Yasyf Mohamedali