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Title:

Differential Equations

Url:

https://academicearth.org/mathematics/

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

Resource Type:

Collection
Reference Material
Instructional Material
Audio/Visual -- Movie/Animation
Instructional Material -- Student Guide
Instructional Material -- Interactive Simulation
Instructional Material -- Instructor Guide/Manual

Format:

Document -- HTML
Video -- Quicktime

Audience:

Educator
Learner
Professional/Practitioner

Education Level:

High School
Higher Education
Higher Education -- Graduate/Professional
Higher Education -- Undergraduate (Lower Division)
Higher Education -- Undergraduate (Upper Division)
Higher Education -- Technical Education (Upper Division)
Higher Education -- Technical Education (Lower Division)
Vocational/Professional Development Education

Language:

English

Rights:

Academic Earth

Access Rights:

Free access

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Source:

Scout Staff

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