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18.03SC Differential Equations | Mathematics

The laws of nature are expressed as differential equations. Scientists and engineers must know how to model the world in terms of differential equations, and how to solve those equations and interpret the solutions. This course focuses on the equations and techniques most useful in science and engineering.

Keywords:: critical point analysis, first order linear systems, Linear ODE's, variation of parameters, damping, modeling physical systems, Complex numbers and exponentials, Sinusoidal signals, Fourier series, second order ODE's, resonance, first-order ODE's, exponential signals, Undetermined coefficients, phase plane diagrams, periodic solutions, Laplace transform methods, Ordinary Differential Equations, ODE, Non-linear autonomous systems, second order ODE's with constant coefficients, Delta functions, oscillations, convolution, eigenvalues and eigenvectors, Matrix systems, Linear Algebra

Disciplines:

Mathematics and Statistics / Mathematics

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Material Type:: Online Course
Date Added to MERLOT:: May 12, 2016
Date Modified in MERLOT:: May 12, 2016
Author:: Unknown (Know the author?)
Submitter:: Barbra Bied Sperling
Primary Audience:: College General Ed, College Lower Division, College Upper Division
Technical Format:: Website

Mobile Compatibility:: Not specified at this time
Language:: English
Cost Involved:: No
Source Code Available:: No
Accessibility Information Available:: No
Creative Commons:: This work is licensed under a Attribution-NonCommercial-ShareAlike 3.0 United States