Online courses directory (273)
This course covers the fundamentals of Newtonian mechanics, including kinematics, motion relative to accelerated reference frames, work and energy, impulse and momentum, 2D and 3D rigid body dynamics. The course pays special attention to applications in aerospace engineering including introductory topics in orbital mechanics, flight dynamics, inertial navigation and attitude dynamics. By the end of the semester, students should be able to construct idealized (particle and rigid body) dynamical models and predict model response to applied forces using Newtonian mechanics.
This course begins with a study of the role of dynamics in the general physics of the atmosphere, the consideration of the differences between modeling and approximation, and the observed large-scale phenomenology of the atmosphere. Only then are the basic equations derived in rigorous manner. The equations are then applied to important problems and methodologies in meteorology and climate, with discussions of the history of the topics where appropriate. Problems include the Hadley circulation and its role in the general circulation, atmospheric waves including gravity and Rossby waves and their interaction with the mean flow, with specific applications to the stratospheric quasi-biennial oscillation, tides, the super-rotation of Venus' atmosphere, the generation of atmospheric turbulence, and stationary waves among other problems. The quasi-geostrophic approximation is derived, and the resulting equations are used to examine the hydrodynamic stability of the circulation with applications ranging from convective adjustment to climate.
8.EFTx is an online version of MIT's graduate Effective Field Theory course. The course follows the MIT on-campus class 8.851 as it was given by Professor Iain Stewart in the Fall of 2013, and includes his video lectures, resource material on various effective theories, and a series of problems to facilitate learning the material. Anyone can register for the online version of the course. When the course is being taught on campus, students at MIT or Harvard may also register for 8.851 for course credit.
Effective field theory (EFT) provides a fundamental framework to describe physical systems with quantum field theory. In this course you will learn both how to construct EFTs and how to apply them in a variety of situations. We will cover the majority of the common tools that are used by different effective field theories. In particular: identifying degrees of freedom and symmetries, formulating power counting expansions (both dimensional and non-dimensional), field redefinitions, bottom-up and top-down effective theories, fine-tuned effective theories, matching and Wilson coefficients, reparameterization invariance, and various examples of advanced renormalization group techniques. Examples of effective theories we will cover are the Standard Model as an effective field theory, integrating out the massive W, Z, Higgs, and top, chiral perturbation theory, non-relativistic effective field theories including those with a large scattering length, static sources and Heavy Quark Effective Theory (HQET), and a theory for collider physics, the Soft-Collinear Effective Theory (SCET).
Course Flow
Since this is an advanced graduate physics course, you will find that self-motivation and interaction with others is essential to learning the material. The purpose of the online course is to set you up with a foundation, to teach you to speak the language of EFT, and to connect you with other students and researchers that are interested in learning or broadening their exposure to this subject. Each week you will complete automatically graded homework problems to test your understanding and to help you master the material. You are expected to discuss the homework with other people in the class, but your online responses must be done individually. To facilitate these interactions there will be a forum for student-to-student discussions, with threads to cover different topics, and moderators with experience in this field. Student learning and discussions will also be prompted by questions posed after each lecture topic.
There will be no tests or final exam, but at the end of the course each student will give a 30-minute presentation on an EFT topic of their choosing. The subject of effective field theory is rich and diverse, and far broader than we will be able to cover in a single course. The presentations will create an opportunity for you to learn about additional subjects beyond those in lecture from your fellow students. To facilitate this learning opportunity, each student will be required to watch and grade five presentations from among their fellow students.
Since this is a graduate course, we anticipate that learning the subject and having the 8.EFTx materials available as an online resource will be more valuable to most of you than obtaining a grade. Therefore anyone who registers for the course will be able to retain access to the course materials after the course has ended. Note that when the course is archival mode that the problems can be attempted and checked in the same manner as when the course was running.
This course is a graduate level subject on electromagnetic theory with particular emphasis on basics and applications to Nuclear Science and Engineering. The basic topics covered include electrostatics, magnetostatics, and electromagnetic radiation. The applications include transmission lines, waveguides, antennas, scattering, shielding, charged particle collisions, Bremsstrahlung radiation, and Cerenkov radiation.
Acknowledgments
Professor Freidberg would like to acknowledge the immense contributions made to this course by its previous instructors, Ian Hutchinson and Ron Parker.
Electromagnetic Theory covers the basic principles of electromagnetism: experimental basis, electrostatics, magnetic fields of steady currents, motional e.m.f. and electromagnetic induction, Maxwell's equations, propagation and radiation of electromagnetic waves, electric and magnetic properties of matter, and conservation laws. This is a graduate level subject which uses appropriate mathematics but whose emphasis is on physical phenomena and principles.
This course provides students with an opportunity to conceive, design and implement a product, using rapid prototyping methods and computer-aid tools. The first of two phases challenges each student team to meet a set of design requirements and constraints for a structural component. A course of iteration, fabrication, and validation completes this manual design cycle. During the second phase, each team conducts design optimization using structural analysis software, with their phase one prototype as a baseline.
Acknowledgements
This course is made possible thanks to a grant by the alumni sponsored Teaching and Education Enhancement Program (Class of '51 Fund for Excellence in Education, Class of '55 Fund for Excellence in Teaching, Class of '72 Fund for Educational Innovation). The instructors gratefully acknowledge the financial support. The course was approved by the Undergraduate Committee of the MIT Department of Aeronautics and Astronautics in 2003. The instructors thank Prof. Manuel Martinez-Sanchez and the committee members for their support and suggestions.
Engineering principles of nuclear reactors, emphasizing power reactors. Topics include power plant thermodynamics, reactor heat generation and removal (single-phase as well as two-phase coolant flow and heat transfer), structural mechanics, and engineering considerations in reactor design.
In this course, students explore the engineering design of nuclear power plants using the basic principles of reactor physics, thermodynamics, fluid flow and heat transfer. Topics include reactor designs, thermal analysis of nuclear fuel, reactor coolant flow and heat transfer, power conversion cycles, nuclear safety, and reactor dynamic behavior.
The Experimental Project Lab in the Department of Aeronautics and Astronautics is a two-semester course sequence: 16.621 Experimental Projects I (this course) and 16.622 Experimental Projects II. This site offers material on 16.621. In the course, two-person teams initiate a project of their own conception and design in 16.621 and then complete it in 16.622. For many students, this is a first encounter with research standards and techniques. It is a complicated course that requires a lot of interaction and support and also access to facilities and materials, but it is rewarding for students to explore an hypothesis under the guidance of a faculty advisor.
This OCW site presents the building block materials of the course, which can provide only a profile of the course because the most important learning elements are the interactions between student team, faculty, project advisor, and shop staff and also between student team members. However, this site offers some of the preparation and guidance materials for students embarking on an experimental project. To emphasize the focus on communication skills, a set of study materials and examples of student work are provided.
The Experimental Project Lab in the Department of Aeronautics and Astronautics is a two-semester course sequence: 16.621 Experimental Projects I and 16.622 Experimental Projects II (this course). Students in 16.622 gain practical insight and improved understanding of engineering experimentation through design and execution of "project" experiments. Building upon work in course 16.621, students construct and test equipment, make systematic experimental measurements of phenomena, analyze data, and compare theoretical predictions with results. Deliverables comprise a written final project report and formal oral presentations. Instructions on oral presentations and multi-section reporting are given. Experimental Projects I and II provide a valuable link between theory (16.621) and practice (16.622).
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.
Other Versions
Other OCW Versions
OCW has published multiple versions of this subject.
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Related Content
This course covers the physics, concepts, theories, and models underlying the discipline of aerodynamics. A general theme is the technique of velocity field representation and modeling via source and vorticity fields, and via their sheet, filament, or point-singularity idealizations.
The intent is to instill an intuitive feel for aerodynamic flowfield behavior, and to provide the basis of aerodynamic force analysis, drag decomposition, flow interference estimation, and many other important applications. A few computational methods are covered, primarily to give additional insight into flow behavior, and to identify the primary aerodynamic forces on maneuvering aircraft. A short overview of flight dynamics is also presented.
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FAQ
Is there a required textbook?
You do not need to buy a textbook. All material is included in the edX course and is viewable online. This includes a full textbook in PDF form. If you would like to buy a print copy of the textbook, a mail-order service will be provided.
Can I still register after the start date?
You can register at any time, but you will not get credit for any assignments that are past due.
How are grades assigned?
Grades are made out of four parts: simple, multiple-choice "Concept Questions " completed during lectures; weekly homework assignments; and two exams, one at the midpoint and one at the end of the course.
How does this course use video? Do I need to watch the lectures live?
Video lectures as well as worked problems will be available and you can watch these at your leisure. Homework assignments and exams, however, will have due dates.
Will the text of the lectures be available?
Yes, transcripts of the course will be made available.
Will the material be made available to anyone registered for this course?
Yes, all the material will be made available to all students.
What are the prerequisites?
The student is expected to be well-versed in basic mechanics, vector calculus, and basic differential equations. Good familiarity with basic fluid mechanics concepts (pressure, density, velocity, stress, etc.) is expected, similar to the content in 16.101x (however, 16.101x is not a requirement). If you do not know these subjects beforehand, following the class material will be extremely difficult. We do not check students for prerequisites, so you are certainly allowed to try.
Who can register for this course?
Unfortunately, learners from Iran, Sudan, Cuba and the Crimea region of Ukraine will not be able to register for this course at the present time. While edX has received a license from the U.S. Office of Foreign Assets Control (OFAC) to offer courses to learners from Iran and Sudan our license does not cover this course. Separately, EdX has applied for a license to offer courses to learners in the Crimea region of Ukraine, but we are awaiting a determination from OFAC on that application. We are deeply sorry the U.S. government has determined that we have to block these learners, and we are working diligently to rectify this situation as soon as possible.
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