AA 100: 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.
Terms: Aut

Units: 3

UG Reqs: GER:DBEngrAppSci, WAYAQR, WAYSMA

Grading: Letter or Credit/No Credit
Instructors:
Pavone, M. (PI)
AA 115N: The Global Positioning System: Where on Earth are We, and What Time is It?
Preference to freshmen. Why people want to know where they are: answers include crossPacific trips of Polynesians, missile guidance, and distraught callers. How people determine where they are: navigation technology from deadreckoning, sextants, and satellite navigation (GPS). Handson experience. How GPS works; when it does not work; possibilities for improving performance.
Terms: not given this year

Units: 3

UG Reqs: GER:DBEngrAppSci

Grading: Letter (ABCD/NP)
AA 116Q: Electric Automobiles and Aircraft
Transportation accounts for nearly onethird of American energy use and greenhouse gas emissions and threequarters of American oil consumption. It has crucial impacts on climate change, air pollution, resource depletion, and national security. Students wishing to address these issues reconsider how we move, finding sustainable transportation solutions. An introduction to the issue, covering the past and present of transportation and its impacts; examining alternative fuel proposals; and digging deeper into the most promising option: battery electric vehicles. Energy requirements of air, ground, and maritime transportation; design of electric motors, power control systems, drive trains, and batteries; and technologies for generating renewable energy. Two opportunities for handson experiences with electric cars. Prerequisites: Introduction to calculus and Physics AP or elementary mechanics.
Terms: Aut

Units: 3

UG Reqs: GER:DBEngrAppSci, WAYAQR, WAYSMA

Grading: Letter (ABCD/NP)
Instructors:
Enge, P. (PI)
AA 200: Applied Aerodynamics
Analytical and numerical techniques for the aerodynamic analysis of aircraft, focusing on airfoil theory, finite wing theory, farfield and Trefftzplane analysis, twodimensional laminar and turbulent boundary layers in airfoil analysis, laminartoturbulent transition, compressibility effects, and similarity rules. Biweekly assignments require MATLAB or a suitable programming language. Prerequisite: undergraduate courses in basic fluid mechanics and applied aerodynamics,
AA 210A.
Terms: Spr

Units: 3

Grading: Letter (ABCD/NP)
Instructors:
Cantwell, B. (PI)
AA 203: Introduction to Optimal Control Theory
Basic solution techniques for optimal control problems. Dynamic programming, calculus of variations, and numerical techniques for trajectory optimization. Special cases (chiefly LQR and robotic motion planning); modern solution approaches (such as MPC and MILP); and introduction to stochastic optimal control. Examples in MATLAB. Prerequisites: Linear algebra (
EE 263 or equivalent).
Terms: Spr

Units: 3

Grading: Letter or Credit/No Credit
Instructors:
Pavone, M. (PI)
AA 210A: Fundamentals of Compressible Flow
Topics: development of the threedimensional, nonsteady, 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; areaaveraged equations for onedimensional steady flow; shock waves; channel flow with heat addition and friction; flow in nozzles and inlets; oblique shock waves; PrandtlMeyer expansion; unsteady onedimensional flow; the shock tube; small disturbance theory; acoustics in onedimension; steady flow in twodimensions; potential flow; linearized potential flow; lift and drag of thin airfoils. Prerequisites: undergraduate background in fluid mechanics and thermodynamics.
Terms: Aut

Units: 3

Grading: Letter (ABCD/NP)
Instructors:
Cantwell, B. (PI)
AA 212: Analysis and Design of Multivariable Feedback Systems
Analysis and design techniques for multivariable feedback systems. Review of basic properties of multiinput, multioutput linear timeinvariant 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 Hinfinity synthesis. Prerequisite:
EE 263. Recommended:
EE 364A.
Terms: Win

Units: 3

Grading: Letter (ABCD/NP)
Instructors:
Pavone, M. (PI)
AA 214A: Introduction to Numerical Methods for Engineering (CME 206, ME 300C)
Numerical methods from a user's point of view. Lagrange interpolation, splines. Integration: trapezoid, Romberg, Gauss, adaptive quadrature; numerical solution of ordinary differential equations: explicit and implicit methods, multistep methods, RungeKutta and predictorcorrector methods, boundary value problems, eigenvalue problems; systems of differential equations, stiffness. Emphasis is on analysis of numerical methods for accuracy, stability, and convergence. Introduction to numerical solutions of partial differential equations; Von Neumann stability analysis; alternating direction implicit methods and nonlinear equations. Prerequisites:
CME 200/
ME 300A,
CME 204/
ME 300B.
Terms: Aut, Spr

Units: 3

Grading: Letter or Credit/No Credit
Instructors:
Gerritsen, M. (PI)
;
Moin, P. (PI)
AA 214B: Numerical Methods for Compressible Flows
For M.S.level graduate students. Covers the hierarchy of mathematical models for compressible flows. Introduction to finite difference, finite volume, and finite element methods for their computation. Ideal potential flow; transonic potential flow; Euler equations; NavierStokes equations; representative model problems; shocks, expansions, and contact discontinuities; treatment of boundary conditions; time and pseudotime integration schemes. Prerequisites: basic knowledge of linear algebra and ODEs (
CME 206 or equivalent).
Terms: Win

Units: 3

Grading: Letter (ABCD/NP)
Instructors:
Farhat, C. (PI)
AA 222: Introduction to Multidisciplinary Design Optimization
Design of aerospace systems within a formal optimization environment. Mathematical formulation of the multidisciplinary design problem (parameterization of design space, choice of objective functions, constraint definition); survey of algorithms for unconstrained and constrained optimization and optimality conditions; description of sensitivity analysis techniques. Hierarchical techniques for decomposition of the multidisciplinary design problem; use of approximation theory. Applications to design problems in aircraft and launch vehicle design. Prerequisites: multivariable calculus; familiarity with a highlevel programming language: FORTRAN, C, C++, MATLAB, Python, or Julia.
Terms: Spr

Units: 34

Grading: Letter (ABCD/NP)
Instructors:
Kochenderfer, M. (PI)
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