18.03 Differential Equations, Spring 2004
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18-03Spring2004/OcwWeb/Mathematics/18-03Spring2004/CourseHome/index.htm
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Author(s)
Miller, Haynes R., 1948-
Mattuck, Arthur
Alternative Title
Differential Equations
Date Issued
June 2004
Abstract
Study of ordinary differential equations, including modeling of physical problems and interpretation of their solutions. Standard solution methods for single first-order equations, including graphical and numerical methods. Higher-order forced linear equations with constant coefficients. Complex numbers and exponentials. Matrix methods for first-order linear systems with constant coefficients. Non-linear autonomous systems; phase plane analysis. Fourier series; Laplace transforms.
Subjects
Ordinary Differential Equations
ODE
modeling physical systems
first-order ODE's
Linear ODE's
second order ODE's
Undetermined coefficients
variation of parameters
Sinusoidal signals
exponential signals
oscillations
damping
resonance
Fourier series
periodic solutions
Delta functions
convolution
Laplace transform methods
Matrix systems
first order linear systems
Non-linear autonomous systems
critical point analysis
phase plane diagrams
constant coefficients
complex numbers
exponentials
eigenvalues
eigenvectors
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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