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Title: Differential Equations
Creator: Mattuck, Arthur
Massachusetts Institute of Technology
 Description: Differential Equations are the language in which the laws of nature are expressed. Understanding properties of solutions of differential equations is fundamental to much of contemporary science and engineering. Ordinary differential equations (ODEs) deal with functions of one variable, which can often be thought of as time. Topics include: Solution of first-order ODE's by analytical, graphical and numerical methods; Linear ODE's, especially second order with constant coefficients; Undetermined coefficients and variation of parameters; Sinusoidal and exponential signals: oscillations, damping, resonance; Complex numbers and exponentials; Fourier series, periodic solutions; Delta functions, convolution, and Laplace transform methods; Matrix and first order linear systems: eigenvalues and eigenvectors; and Non-linear autonomous systems: critical point analysis and phase plane diagrams.
LC Classification: Science -- Mathematics -- Analysis -- Differential equations
Science -- Mathematics -- Analysis -- Theory of functions
Science -- Mathematics -- Study and teaching. Research
Science -- Mathematics -- Study and teaching. Research -- Special teaching methods and aids -- Audiovisual aids
GEM Subject: Mathematics -- Instructional issues
Mathematics -- Informal education
Mathematics -- Applied mathematics
Key Concept: Mathematics -- Differential equations
Resource Type: Collection (DCMI Type Vocabulary)
Instructional Materials
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Format: html
mov
Audience: College/University Instructors
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Language: English
Access Rights: Free access
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Source: Scout Staff
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