AME 34314 - Differential Equations

Institution:

University of Notre Dame

Subject:

Aerospace and Mechanical Engr.

Description:

First of a two-course sequence, the course introduces methods of differential-equation solution together with common engineering applications in vibration analysis and controls. Second-order, linear differential equations, feedback control and numerical solutions to systems of ordinary differential equations. The objective of this course are for students to be able to solve certain classes of ordinary differential equations, analyze the stability of solutions of a system of differential equations and apply techniques from the theory of differential equations to design and analyze the stability of control systems and engineering vibrations problems. MAPH 30160 Mathematics for Engineers VI at UCD; This course is designed to familiarise engineering students with ordinary and partial differential equations. Although general techniques applicable to arbitrary differential equations will be taught, the emphasis will be on solving the types of differential equatons which appear in an engineering context; examples include electrical circuits, traffic flow problems, the wave/string equation, the heat equation, and Laplace's/Poisson's equation. These techniques include critical point classification and phase portraits, the method of characteristics, separation of variables, Fourier series/transforms and classification of 2nd-order linear partial differential equations.

Credits:

3.00

Credit Hours:

Prerequisites:

Corequisites:

Exclusions:

Level:

Instructional Type:

Lecture

Notes:

Additional Information:

Historical Version(s):

Institution Website:

www.nd.edu

Phone Number:

(574) 631-5000

Regional Accreditation:

North Central Association of Colleges and Schools

Calendar System:

Semester

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