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Course Criteria
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3.00 Credits
Floating point arithmetic, error analysis, algorithms in interpolation, integration, differentiation, matrix algebra, approximation and solution of equations, use of numerical software packages. Prerequisites: EGR 115, MA 245 or MA 345.
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3.00 Credits
Line and surface integrals; vector fields with the study of Green, Gauss, and Stokes Theorems; applications of vector field theory; Fourier series. Prerequisite: MA 345.
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3.00 Credits
The solution of linear differential equations with variable coefficients; study of the derivation, characteristics, and solutions of partial differential equations; Fourier series, Fourier transform, Laplace transform, and Green's function; applications in science and engineering. Prerequisite: MA 441.
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3.00 Credits
Algebra of complex numbers; complex functions, analytic functions; mapping by elementary functions; conformal mappings and their applications; additional topics may include complex integration, power series expansion. Prerequisite: MA 441.
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3.00 Credits
Scientific visualization is the representation of data graphically as a means of gaining understanding and insight into the data. This course will introduce different aspects of scientific visualization: computer graphics and related mathematics concepts, application packages for interactive display, and analysis of data. Prerequisites: CS 315 and CS 344.
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3.00 Credits
This course is an introduction to parallel computing in computational mathematics and sciences with practical applications. We start with an overview of parallel computing and study the problem of program efficiency on parallel computers. Then we introduce two major programming paradigms: shared memory and message passing. The last third of the course will focus on applications of parallel computing in the sciences (engineering, physics, mathematics, etc.). Prerequisites: CS 375 and MA 432.
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3.00 Credits
This course explores the theory and applications of numerical methods in fluid mechanics. The topics covered will include numerical methods for incompressible flows; primitive variable and vorticitystream function on formulation; numerical treatment for inviscid and viscous flows, including restricted to incompressible flow. Emphasis will be placed on numerical methods based on finite difference, finite volume, or finite element formulations. Prerequisite: MA 350 and WX 201. Corequisite: ES 312.
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3.00 Credits
This course is focused on the development of a functioning software product as it applies to a computational problem in the area of aviation and aerospace. Also, material on business practices, professional practices, and ethics is included. Students, working in teams, are involved in management and planning, analysis and specification, design, implementation, and testing of a software system. Project work is assessed using modern industrial software standards and review techniques. Laboratory work includes team building, project reports, walk-throughs and inspections, design activities, process analysis, and acceptance tests. Prerequisites: SE 300, MA 444 or MA 453.
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1.00 Credits
Introduction to machine shop techniques to include familiarization with riveting, sheet metal forming, welding, and machining.
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3.00 Credits
This course is an introduction to robotics with emphasis on the mathematical tools for kinematics and dynamics of robot arms. Topics include the geometry and mathematical representation of rigid body motion; forward and inverse kinematics of articulated mechanical arms; trajectory generation, splines, interpolation; manipulator dynamics; position sensing and actuation; and topics in manipulator control. Coursework includes weekly problem sets and computational laboratories (using the Matlab numerical programming environment), a mid-term examination, and a final examination. Prerequisite: ES 204. Corequisites: AE 430 or EE 401/402.
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