Bulletin ExploreCourses. AA Introduction to Aeronautics and Astronautics The principles of fluid flow, flight, and propulsion; the creation of lift and drag, aerodynamic performance including takeoff, climb, range, and landing performance, structural concepts, propulsion systems, trajectories, and orbits. The history of aeronautics and astronautics. Prerequisites: MATH 41, 42; elementary physics.
Instructors: ; Pavone, M. AA A: Fundamentals of Acoustics Acoustic equations for a stationary homogeneous fluid; wave equation; plane, spherical, and cylindrical waves; harmonic monochromatic waves; simple sound radiators; reflection and transmission of sound at interfaces between different media; multipole analysis of sound radiation; Kirchoff integral representation; scattering and diffraction of sound; propagation through ducts dispersion, attenuation, group velocity ; sound in enclosed regions reverberation, absorption, and dispersion ; radiation from moving sources; propagation in the atmosphere and underwater.
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Prerequisite: first-year graduate standing in engineering, mathematics, sciences; or consent of instructor. Dynamic programming, calculus of variations, and numerical techniques for trajectory optimization. Prerequisites: Linear algebra EE or equivalent. AA A: Fundamentals of Compressible Flow Topics: development of the three-dimensional, non-steady, field equations for describing the motion of a viscous, compressible fluid; differential and integral forms of the equations; constitutive equations for a compressible fluid; the entropy equation; compressible boundary layers; area-averaged equations for one-dimensional steady flow; shock waves; channel flow with heat addition and friction; flow in nozzles and inlets; oblique shock waves; Prandtl-Meyer expansion; unsteady one-dimensional flow; the shock tube; small disturbance theory; acoustics in one-dimension; steady flow in two-dimensions; potential flow; linearized potential flow; lift and drag of thin airfoils.
Prerequisites: undergraduate background in fluid mechanics and thermodynamics. Instructors: ; Cantwell, B. Review of basic properties of multi-input, multi-output linear time-invariant systems and of basic concepts from convex analysis. Study of the stability and robustness of feedback loops. Approaches for optimal and robust feedback control design, chiefly H2 and H-infinity synthesis.
Prerequisite: EE Recommended: EE A. Lagrange interpolation, splines. Integration: trapezoid, Romberg, Gauss, adaptive quadrature; numerical solution of ordinary differential equations: explicit and implicit methods, multistep methods, Runge-Kutta and predictor-corrector methods, boundary value problems, eigenvalue problems; systems of differential equations, stiffness.
