New courses in Aeronautics and Astronautics from MIT OpenCourseWare, provider of free and open MIT course materials. https://ocw.mit.edu/courses/aeronautics-and-astronautics 2021-10-06T20:29:09+05:00 MIT OpenCourseWare https://ocw.mit.edu en-US Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm In this course, Dr. Ashkan Jasour addresses advanced probabilistic and robust optimization-based techniques for control and safety verification of nonlinear dynamical systems in the presence of uncertainties. Specifically, we will learn how to leverage rigorous mathematical tools, such as the theory of measures and moments, the theory of nonnegative polynomials, and semidefinite programming, to develop convex optimization formulations to control and analyze uncertain nonlinear dynamical systems with applications in autonomous systems and robotics. https://ocw.mit.edu/courses/aeronautics-and-astronautics/16-s498-risk-aware-and-robust-nonlinear-planning-fall-2019 Fall 2019 Jasour, Ashkan M. 2021-06-24T21:20:36+05:00 16.S498 en-US non-linear optimization convex optimization Sum-of-Squares Formulation (SOS) risk estimation chance constrained control safety verification region of attraction set optimal control robust control MIT OpenCourseWare https://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm This course covers the mathematical foundations and state-of-the-art implementations of algorithms for vision-based navigation of autonomous vehicles (e.g., mobile robots, self-driving cars, drones). It provides students with a rigorous but pragmatic overview of differential geometry and optimization on manifolds and knowledge of the fundamentals of 2-view and multi-view geometric vision for real-time motion estimation, calibration, localization, and mapping. The theoretical foundations are complemented with hands-on labs based on state-of-the-art mini racecar and drone platforms. It culminates in a critical review of recent advances in the field and a team project aimed at advancing the state of the art. https://ocw.mit.edu/courses/aeronautics-and-astronautics/16-485-visual-navigation-for-autonomous-vehicles-vnav-fall-2020 Fall 2020 Carlone, Luca Khosoussi, Kasra Ryll, Markus Habibi, Golnaz Tzuomas, Vasileios Talak, Rajat 2021-05-10T12:17:08+05:00 16.485 en-US autonomous vehicles SLAM Visual-Inertial Navigation geometric control Trajectory Optimization 2D Computer Vision Place Recognition Visual Odometry MIT OpenCourseWare https://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm This is a three-day workshop that took place during the MIT Independent Activities Period (IAP) in January, 2019. This workshop aims to provide information for students to prepare for the FAA Private Pilot Knowledge Test. Topics include airplane aerodynamics, aircraft systems, navigation, meteorology, aircraft ownership and maintenance, aircraft performance, multi-engine and jets. https://ocw.mit.edu/courses/aeronautics-and-astronautics/16-687-private-pilot-ground-school-january-iap-2019 January IAP 2019 Greenspun, Philip Srivastava, Tina 2020-04-27T15:47:24+05:00 16.687 en-US flight training FAA Private Pilot Knowledge Exam aerodynamics navigation aircraft performance aircraft ownership and maintenance flight planning small UAS operations multi-engine and jets MIT OpenCourseWare https://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm This subject is designed to inform students on the analytical foundations of inviscid subsonic aerodynamics. A primary goal of this subject is to equip students with the scientific rigor, applied mathematical complexity, and physical understanding that form the foundation of classical subsonic aerodynamics. Perturbation methods that both simplify mathematical complexity and expand physical understanding of critical phenomenon in fluid flow provides a framework for the subject. The subject offers lectures in classical subsonic aerodynamics at the graduate level on inviscid, subsonic, steady flow over slender aerodynamic bodies. Topics will be selected from: fundamentals of fluid mechanics [review]; singular-perturbation methods [introduction, JIT]; similitude; subsonic flows with axial symmetry; linearized subsonic flow; slender body theory; similarity rules for subsonic flows; two-dimensional flow past a wave-shaped wall; thin wing theory; Kaplan’s higher approximations. https://ocw.mit.edu/courses/aeronautics-and-astronautics/16-121-analytical-subsonic-aerodynamics-fall-2017 Fall 2017 Harris, Wesley 2018-12-11T22:03:40+05:00 16.121 en-US Linearization Asymptotic analytics Slender bodies Boundary conditions Similarity Curved shock waves and vorticity Plausible approximations Scales in length and time Airfoils vs. wings in downwash and induced drag MIT OpenCourseWare https://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm This is a class about applying autonomy to real-world systems. The overarching theme uniting the many different topics in this course will center around programming a cognitive robotic. This class takes the approach of introducing new reasoning techniques and ideas incrementally. We start with the current paradigm of programming you're likely familiar with, and evolve it over the semester—continually adding in new features and reasoning capabilities—ending with a robust, intelligent system. These techniques and topics will include algorithms for allowing a robot to: Monitor itself for potential problems (both observable and hidden), scheduling tasks in time, coming up with novel plans to achieve desired goals over time, dealing with the continuous world, collaborating with other (autonomous) agents, dealing with risk, and more. https://ocw.mit.edu/courses/aeronautics-and-astronautics/16-412j-cognitive-robotics-spring-2016 Spring 2016 Williams, Brian Charles 2018-10-25T19:41:09+05:00 16.412J 6.834J en-US cognitive robotics robotic systems intelligence algorithms robustness algorithms intelligence paradigms robustness paradigms autonomous robots artificial intelligence AI model-based robotics system MIT OpenCourseWare https://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm This course introduces the concepts of system safety and how to analyze and design safer systems. Topics include the causes of accidents in general, and recent major accidents in particular; hazard analysis, safety-driven design techniques; design of human-automation interaction; integrating safety into the system engineering process; and managing and operating safety-critical systems. https://ocw.mit.edu/courses/aeronautics-and-astronautics/16-63j-system-safety-spring-2016 Spring 2016 Leveson, Nancy 2016-11-29T21:07:59+05:00 16.63J ESD.03J IDS.045J en-US 16.63J 16.63 ESD.03J ESD.03 hindsight bias system accident reports Systems Theoretic Process Analysis STPA System-Theoretic Accident Model and Processes STAMP human factors cyber security CAST analysis system theory accident models hazard analysis MIT OpenCourseWare https://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm This course covers important concepts and techniques in designing and operating safety-critical systems. Topics include the nature of risk, formal accident and human error models, causes of accidents, fundamental concepts of system safety engineering, system and software hazard analysis, designing for safety, fault tolerance, safety issues in the design of human-machine interaction, verification of safety, creating a safety culture, and management of safety-critical projects. Includes a class project involving the high-level system design and analysis of a safety-critical system. https://ocw.mit.edu/courses/aeronautics-and-astronautics/16-863j-system-safety-spring-2016 Spring 2016 Leveson, Nancy 2016-11-29T19:17:51+05:00 16.863J ESD.863J IDS.340J en-US ESD.863J ESD.863 16.863J 16.863 risk management human error models system safety engineering hazard analysis safety design fault tolerance safety-critical system human factors. cyber security Systems Theoretic Process Analysis (STPA) MIT OpenCourseWare https://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm This course provides an introduction to numerical methods and computational techniques arising in aerospace engineering. Applications are drawn from aerospace structures, aerodynamics, dynamics and control, and aerospace systems. Techniques covered include numerical integration of systems of ordinary differential equations; numerical discretization of partial differential equations; and probabilistic methods for quantifying the impact of variability. Specific emphasis is given to finite volume methods in fluid mechanics, and finite element methods in structural mechanics.Acknowledgement: Prof. David Darmofal taught this course in prior years, and created some of the materials found in this OCW site. https://ocw.mit.edu/courses/aeronautics-and-astronautics/16-90-computational-methods-in-aerospace-engineering-spring-2014 Spring 2014 Willcox, Karen Wang, Qiqi 2016-10-31T18:23:55+05:00 16.90 en-US numerical integration ODEs ordinary differential equations finite difference finite volume finite element discretization PDEs partial differential equations numerical linear algebra probabilistic methods optimization computational methods aerospace engineering Monte Carlo Fourier stability analysis Matrix stability analysis Runge-Kutta convergence accuracy stiffness weighted residual statistical sampling sensitivity analysis MIT OpenCourseWare https://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm General introduction to systems engineering using both the classical V-model and the new Meta approach. Topics include stakeholder analysis, requirements definition, system architecture and concept generation, trade-space exploration and concept selection, design definition and optimization, system integration and interface management, system safety, verification and validation, and commissioning and operations. Discusses the trade-offs between performance, lifecycle cost and system operability. Readings based on systems engineering standards and papers. Students apply the concepts of systems engineering to a cyber-electro-mechanical system, which is subsequently entered into a design competition. Students will prepare a PDR (Preliminary Design Review)-level design intended for the Cansat Competition.This year's class will be taught in the form of a Small-Private-Online-Course (SPOC) and offered simultaneously to students at MIT under number 16.842 and Ecole Polytechnique Fédérale de Lausanne (EPFL) as ENG-421. https://ocw.mit.edu/courses/aeronautics-and-astronautics/16-842-fundamentals-of-systems-engineering-fall-2015 Fall 2015 de Weck, Olivier 2016-07-26T17:53:29+05:00 16.842 en-US systems engineering PDR-level design Cansat Competition V-model META approach stakeholder analysis requirements definition system architecture and concept generation trade-space exploration and concept selection design definition and optimization system integration and interface management system safety MIT OpenCourseWare https://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm This course covers the fundamentals of rocket propulsion and discusses advanced concepts in space propulsion ranging from chemical to electrical engines. Topics include advanced mission analysis, physics and engineering of microthrusters, solid propellant rockets, electrothermal, electrostatic, and electromagnetic schemes for accelerating propellants. Additionally, satellite power systems and their relation to propulsion systems are discussed. The course includes laboratory work emphasizing the design and characterization of electric propulsion engines. https://ocw.mit.edu/courses/aeronautics-and-astronautics/16-522-space-propulsion-spring-2015 Spring 2015 Martinez-Sanchez, Manuel Lozano, Paulo 2015-12-23T02:16:05+05:00 16.522 en-US space propulsion rocket propulsion spacecraft propulsion requirements propulsion space mission analysis monopropellant thrusters arcjets ion engines hall thrusters electromagnetic plasma acceleration electrothermal augmentation electrostatic thrusters magnetoplasmadynamic thrusters electrospray propulsion electrodynamic tethers space power MIT OpenCourseWare https://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm This course highlights the properties and behavior of low-temperature plasmas in relation to energy conversion, plasma propulsion, and gas lasers. The course includes material on the equilibrium (energy states, statistical mechanics, and relationship to thermodynamics) and kinetic theory of ionized gases (motion of charged particles, distribution function, collisions, characteristic lengths and times, cross sections, and transport properties). In addition, the course discusses gas surface interactions (thermionic emission, sheaths, and probe theory) and radiation in plasmas and diagnostics. https://ocw.mit.edu/courses/aeronautics-and-astronautics/16-55-ionized-gases-fall-2014 Fall 2014 Martinez-Sanchez, Manuel Lozano, Paulo 2015-06-23T18:05:15+05:00 16.55 en-US Ionized gases plasma physics motion of charges drift adiabatic invariants collision theory kinetic theory H theorem entropy Maxwellian distribution Boltzmann equation plasma sheath electrostatic probe orbital motion limit equilibrium statistical mechanics radiation transport MIT OpenCourseWare https://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm This course introduces the design of feedback control systems as applied to a variety of air and spacecraft systems. Topics include the properties and advantages of feedback systems, time-domain and frequency-domain performance measures, stability and degree of stability, the Root locus method, Nyquist criterion, frequency-domain design, and state space methods. https://ocw.mit.edu/courses/aeronautics-and-astronautics/16-06-principles-of-automatic-control-fall-2012 Fall 2012 Hall, Steven 2014-03-12T21:34:56+05:00 16.06 en-US classical control systems feedback control systems bode plots time-domain and frequency-domain performance measures stability root locus method nyquist criterion frequency-domain design state space methods MIT OpenCourseWare https://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm This course covers the fundamental principles, practices and tools of Lean Six Sigma methods that underlay modern organizational productivity approaches applied in aerospace, automotive, health care, and other sectors. It includes lectures, active learning exercises, a plant tour, talks by industry practitioners, and videos. One third of the course is devoted to a physical simulation of an aircraft manufacturing enterprise or a clinic to illustrate the power of Lean Six Sigma methods. The course is offered during the Independent Activities Period (IAP), which is a special 4-week term at MIT that runs from the first week of January until the end of the month. https://ocw.mit.edu/courses/aeronautics-and-astronautics/16-660j-introduction-to-lean-six-sigma-methods-january-iap-2012 January IAP 2012 Murman, Earll McManus, Hugh Weigel, Annalisa Madsen, Bo 2013-08-14T20:34:35+05:00 16.660J ESD.62J 16.853 en-US 16.660 16.660J ESD.62 ESD.62J 16.853 lean six sigma lean aerospace initiative enterprise leaders value stream mapping healthcare medicine simulation supply chain lean engineering value stream analysis variability southwest airlines boeing rockwell collins lockheed martin MIT OpenCourseWare https://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm This course presents aerospace propulsive devices as systems, with functional requirements and engineering and environmental limitations along with requirements and limitations that constrain design choices. Both air-breathing and rocket engines are covered, at a level which enables rational integration of the propulsive system into an overall vehicle design. Mission analysis, fundamental performance relations, and exemplary design solutions are presented. https://ocw.mit.edu/courses/aeronautics-and-astronautics/16-50-introduction-to-propulsion-systems-spring-2012 Spring 2012 Martinez-Sanchez, Manuel 2013-02-04T14:59:08+05:00 16.50 en-US gas turbines propulsion rockets rocket engines air-breathing engines turbomachines aeroengines turbines aircraft engines turbofans thrusters combustion turbine turbojets turboprops chemical propulsion electrical propulsion rocket nozzles MIT OpenCourseWare https://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm This course is designed to provide both undergraduate and graduate students with a fundamental understanding of human factors that must be taken into account in the design and engineering of complex aviation and space systems. The primary focus is the derivation of human engineering design criteria from sensory, motor, and cognitive sources to include principles of displays, controls and ergonomics, manual control, the nature of human error, basic experimental design, and human-computer interaction in supervisory control settings. Undergraduate students will demonstrate proficiency through aviation accident case presentations, quizzes, homework assignments, and hands-on projects. Graduate students will complete all the undergraduate assignments; however, they are expected to complete a research-oriented project with a final written report and an oral presentation. https://ocw.mit.edu/courses/aeronautics-and-astronautics/16-400-human-factors-engineering-fall-2011 Fall 2011 Young, Laurence R. Chandra , Divya C. 2013-01-04T21:50:44+05:00 16.400 16.453 en-US human factors attention and workload manual control automation decision making situational awareness anthropometry environmental ergonomics space physiology research methods space bioastronautics fatigue Circadian rhythms response selection control of movement MIT OpenCourseWare https://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm This course introduces sensory systems and multi-sensory fusion using the vestibular and spatial orientation systems as a model. Topics range from end organ dynamics to neural responses, to sensory integration, to behavior, and adaptation, with particular application to balance, posture and locomotion under normal gravity and space conditions. Depending upon the background and interests of the students, advanced term project topics might include motion sickness, astronaut adaptation, artificial gravity, lunar surface locomotion, vestibulo-cardiovascular responses, vestibular neural prostheses, or other topics of interest. https://ocw.mit.edu/courses/aeronautics-and-astronautics/16-430j-sensory-neural-systems-spatial-orientation-from-end-organs-to-behavior-and-adaptation-spring-2012 Spring 2012 Oman, Charles M. Young, Laurence R. Merfeld, Daniel M. Cullen, Kathleen 2012-12-13T20:02:10+05:00 16.430J HST.514J en-US 16.430J 16.430 HST.514J HST.514 sensory systems neural processing sensorimotor processing vestibular system spatial orientation system sensory integration balance astronaut adaptation motion sickness spatial disorientation MIT OpenCourseWare https://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm This course provides an introduction to the transportation industry's major technical challenges and considerations. For upper level undergraduates interested in learning about the transportation field in a broad but quantitative manner. Topics include road vehicle engineering, internal combustion engines, batteries and motors, electric and hybrid powertrains, urban and high speed rail transportation, water vessels, aircraft types and aerodynamics, radar, navigation, GPS, GIS. Students will complete a project on a subject of their choosing. https://ocw.mit.edu/courses/aeronautics-and-astronautics/16-682-technology-in-transportation-spring-2011 Spring 2011 Sarma, Sanjay 2012-06-04T15:55:59+05:00 16.682 en-US technology transportation energy in transportation internal combustion engines road vehicle engineering machine elements hybrids electricity and magnetism shipping fluid dynamics aircraft types and history GPS GIS radar MIT OpenCourseWare https://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm Each term, the class selects a new set of professional journal articles on bioengineering topics of current research interest. Some papers are chosen because of particular content, others are selected because they illustrate important points of methodology. Each week, one student leads the discussion, evaluating the strengths, weaknesses, and importance of each paper. Subject may be repeated for credit a maximum of four terms. Letter grade given in the last term applies to all accumulated units of 16.459. https://ocw.mit.edu/courses/aeronautics-and-astronautics/16-459-bioengineering-journal-article-seminar-fall-2011 Fall 2011 Oman, Charles M. Young, Laurence R. Natapoff, Alan 2012-05-08T20:37:53+05:00 16.459 en-US bioastronautics human factors human factors engineering operator performance automation human automation interaction performance enhancement safety design spaceflight impact of spaceflight on humans intracranial pressure vision change astronaut health astronaut safety fatigue sleep restriction MIT OpenCourseWare https://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm This course will teach fundamentals of control design and analysis using state-space methods. This includes both the practical and theoretical aspects of the topic. By the end of the course, you should be able to design controllers using state-space methods and evaluate whether these controllers are robust to some types of modeling errors and nonlinearities. You will learn to: Design controllers using state-space methods and analyze using classical tools. Understand impact of implementation issues (nonlinearity, delay). Indicate the robustness of your control design. Linearize a nonlinear system, and analyze stability. https://ocw.mit.edu/courses/aeronautics-and-astronautics/16-30-feedback-control-systems-fall-2010 Fall 2010 How, Jonathan P. Frazzoli, Emilio 2012-01-05T19:54:23+05:00 16.30 16.31 en-US control design control analysis state-space methods linear systems estimation filters dynamic output feedback full state feedback state estimation output feedback nonlinear analysis model uncertainty robustness MIT OpenCourseWare https://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm This course surveys a variety of reasoning, optimization and decision making methodologies for creating highly autonomous systems and decision support aids. The focus is on principles, algorithms, and their application, taken from the disciplines of artificial intelligence and operations research. Reasoning paradigms include logic and deduction, heuristic and constraint-based search, model-based reasoning, planning and execution, and machine learning. Optimization paradigms include linear programming, integer programming, and dynamic programming. Decision-making paradigms include decision theoretic planning, and Markov decision processes. https://ocw.mit.edu/courses/aeronautics-and-astronautics/16-410-principles-of-autonomy-and-decision-making-fall-2010 Fall 2010 Williams, Brian Charles Frazzoli, Emilio 2011-12-06T14:18:08+05:00 16.410 16.413 en-US state space search constraints planning model based reasoning global path planning mathematical programming hidden markov models dynamic programming machine learning game theory MIT OpenCourseWare https://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm