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Title: Differential Equations
Url: http://academicearth.org/courses/differential-equations/
Creator: Mattuck, Arthur
Publisher: Academic Earth
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
Key Concepts Complete: Yes
Resource Type: Collection (DCMI Type Vocabulary)
Instructional Materials
InteractiveResource (DCMI Type Vocabulary)
Mathematics Materials
MovingImage (DCMI Type Vocabulary)
Overviews
Reference
Science Materials
Study Guides
Teaching Guides
Format: html
mov
Audience: College/University Instructors
Curriculum Supervisors
Higher Education
Professional Formation
Secondary Education
Student Teachers
Students
Teacher Educators
Teachers
Teaching Professionals
Technical School First Cycle
Technical School Second Cycle
University First Cycle
University Postgrad
University Second Cycle
Vocational Training
Language: English
Rights: Academic Earth
Access Rights: Free access
Date Of Record Release: 2010-12-08 03:00:02 (W3C-DTF)
Date Last Modified: 2014-01-06 14:06:56 (W3C-DTF)
Source: Scout Staff  Scout Staff
Full Record Views: 59
Resource URL Clicks: 10
Cumulative Rating: NOT YET RATED
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