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Course Criteria
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3.00 Credits
Interpolation, differentiation, integration, initial value and boundary value problems for ordinary differential equations; solution methods for parabolic, hyperbolic, and elliptic partial differential equations; applications to classical and current research problems in engineering and science. (Every fall)
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3.00 Credits
This entry-level graduate course provides a comprehensive treatment of modern methodologies for Verification and Validation of computational simulations based on numerical solutions of nonlinear partial differential equations. Example applications are drawn from fluid dynamics, heat transfer, aerodynamics, ocean modeling, groundwater flow, radionuclide transport, detonation and others. Consideration is givento V&V aspects of structured, unstructured, and solution-adaptive meshes. The methods endorsed in recent ANSI Standard Documents (ASME V&V 10, V&V 20) will be thoroughly presented and areas of current research will be described. Prerequisites: Basic computational methods for partial differential equations
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3.00 Credits
Aerodynamic loadings, steady state aeroelastic problems, flutter analysis under various flow conditions, analytical methods in aeroelasticity demonstrated by selected problems.
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3.00 Credits
Examines problems in the vibration of continuous linear elastic structures, including strings, rods, beams, membranes and plates; Hamilton's principle; solution by separation of variables, integral equation and transform methods; variational methods of approximation including the finite element method; computational methods. (As needed)
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3.00 Credits
Fundamental principles and analytical methods in dynamics with applications to machine design, robot analysis, and spacecraft control.
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3.00 Credits
Deformation and motion of continua and singular surfaces; general balance equations; stress principle; balance laws for mass, momentum, and energy; thermodynamics of continua; entropy balance; constitutive relationships; material symmetry and invariance theory; linear and nonlinear constitutive models; variational foundations; topics of special interest. (Alternate years)
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3.00 Credits
A first-year graduate level course that introduces the subject of aerosol dynamics with emphasis on the fundamental laws that govern microparticle transport deposition and suspension in gases and vacuum.
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3.00 Credits
A graduate course designed to give students laboratory experience in the use of modern measurements and the design of experiments for specific problems. (Every fall)
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3.00 Credits
An introduction to quantum mechanics, internal structure, and quantum energy states of monatomic and diatomic gases. Application to chemical reactions, dissociating gases, and ionized gases. High temperature properties of air. (Alternate spring semesters)
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3.00 Credits
A course that treats the fundamentals of sound and noise production, transmission, and measurement. Theoretical, experimental, environmental, and legislative topics. (Alternate years)
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