AME 34104 - Engineering Analysis

Institution:

University of Notre Dame

Subject:

Aerospace and Mechanical Engr.

Description:

The course is designed for undergraduates interested in graduate school in engineering either directly after graduation or later. This course will introduce them to modern mathematical techniques that are commonly used in the engineering sciences. Theory will be closely related to applications. Topics to be covered include: 1. Analysis (a) Dynamical systems (fractals, bifurcations, chaos, synchronization), perturbations, (b) equations (integral, functional, fractional), (c) complex variables, (d) linear analysis (linear spaces, finite and infinite dimensions, norm, inner product, completeness, operators), (e) orthogonal expansion (Hilbert space, eigenvalue problems, adjoint and self-adjoint operators, orthogonality, weighted residuals, spectral methods), (f) computer methods (finite-elements, finite-differences, Monte Carlo). 2. Applications Theory and applications will be discussed in parallel. Topics will be selected from the aerospace and mechanical engineering sciences including mechanics of particles and rigid bodies, elasticity, thermal and fluid dynamics, stability (buckling, convection and hydrodynamics), signal processing, controls, and optimization. Assignments: Homework will be assigned. There will be individual projects on research and state of the art reviews of selected topics with in-class presentations, mid-term and final reports.

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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