Courses tagged with " product differentiation and variety" (5)

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 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.

Before your course starts, try the new edX Demo where you can explore the fun, interactive learning environment and virtual labs. Learn more.

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.

This aerodynamics course focuses on the study of the flow of air about a body, and the “body” will be an airplane, but many of the concepts explored are relevant to a wide variety of applications from sailboats to automobiles to birds. Learners completing this aerodynamics course will gain a fundamental understanding of concepts and models used to aerodynamically analyze and design subsonic, transonic, and supersonic aircraft.

While the course is an introduction to aerodynamics, it is an advanced subject typically taken as a third or fourth year undergraduate subject in aerospace engineering.

This physics course introduces the concept of tensor product states to discuss entanglement and Bell inequalities. You will learn about angular momentum and its representations. This is used to understand the spectrum of central potentials and to introduce hidden symmetries. Lastly, you will learn about the addition of angular momentum and an algebraic approach to the hydrogen atom spectrum.

This is the last of three courses offering a sophisticated view of quantum mechanics and its proper mathematical foundation.

• Part 1: Wave Mechanics
• Part 2: Quantum Dynamics
• Part 3: Entanglement and Angular Momentum

To follow this course you should have taken Part 1: Wave Mechanics, and Part 2: Quantum Dynamics.

Completing the 3-part Quantum Mechanics series will give you the necessary foundation to pursue advanced study or research at the graduate level in areas related to quantum mechanics

The series will follow MIT’s on campus 8.05, the second semester of the three-course sequence on undergraduate quantum mechanics, and will be equally rigorous. 8.05 is a signature course in MIT's physics program and a keystone in the education of physics majors. 

Learner Testimonials

“I’ve thought long and hard to come up with a better MOOC than this one (I’ve completed 25 of these things over the past 2 years) and can’t do it. 8.05x is #1 and I suspect will stay that way for some time to come.”

 “Being an engineering student from India trying to shift to Physics, I am often faced with the requirement to study topics on my own. Very often this has led me to feel inadequate. 8.05x was the perfect opportunity for me to both gain knowledge and evaluate my understanding on a high quality international platform. It has really exceeded my expectations. Now, at the end of fifteen weeks, I feel more confident and hopefully I am more knowledgeable.”

FAQ

Who can register for this course?

Unfortunately, learners from Iran, Cuba, Sudan 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.

Mechanics ReView is a second look at introductory Newtonian Mechanics. It will give you a unified overview of mechanics that will dramatically increase your problem-solving ability. It is open to all students who meet the prerequisites (see right), but is especially designed for teachers and students who want to improve their existing understanding of mechanics.

Newtonian mechanics is the study of how forces change the motion of objects. This course begins with force, and moves on to straight-line motion, momentum, mechanical energy, rotational motion, angular momentum, and harmonic oscillators. Optional units include planetary orbits and a unit whose problems require multiple concepts to be applied to obtain one solution.

NOTE: New Section “Problem-solving Pedagogy”

We have developed a special approach to organizing the physics content knowledge and for applying it when solving problems.  This approach is called “Modeling Applied to Problem Solving” and has been researched carefully and has proven effectiveness for improving students’ performance in a later physics course on Electricity and Magnetism.

If you are a teacher looking to improve your knowledge of mechanics, or to learn new approaches to teach your students, we encourage you to sign up in the special teacher section featuring a discussion forum for teachers to discuss teaching ideas and techniques related to the topics discussed in this course.  To join these discussions,  verify yourself as a teacher, and we will sign you up in the teacher forum.

Note that this forum is exclusively reserved for teachers, so please do not register if you are not a teacher.

Teachers in the United States, and especially in Massachusetts, can receive extra benefit from this course. We offer Professional Development Points (PDPs) at no charge to teachers in Massachusetts who complete our course. If you are in a different state, we instead offer Continuing Education Units through the American Association of Physics Teachers. There is a fee for this certificate.

Course Syllabus

Note: Taking this Course Involves Using Some Experimental Materials

The RELATE group that authors and administers this course is an education research group, dedicated to understanding and improving education, especially online.  We showed that 8.MReV generated slightly more conceptual learning than a conventionally taught on-campus course  - but we were unable to find exactly what caused this learning.   (So far this is the only published measurement of learning in a MOOC).  This summer we will be comparing learning from different types of online activities that  will be administerered to randomly assigned sub-groups of our students.  At certain points in the course, new vs. previously used sequences of activities will be assigned to different groups.  We will then use common questions to compare the amount learned. Which group receives the new activities will be switched so that neither group will have all new activities.

Our experimental protocol has been approved by the MIT Committee on Use of Human Subjects.  As part of this approval we have the obligation to inform you about these experiments and to assure you that:

• We will not divulge any information about you that may be identified as yours personally (e.g. a discussion post showing your user name). 
• The grade for obtaining a certificate will be adjusted downwards (from 60%) to compensate if one group has harder materials.

Note: By clicking on the registration button, you indicate that you understand that everyone who participates in this course is randomly assigned to one of the groups described above. 

Welcome, and we hope you will both learn from and enjoy this course.

FAQs

Is there a required textbook?

You do not need to buy a textbook. All material is included in this edX course and is viewable online. If you would like to use a textbook with the course (for example, as a reference), most calculus-level books are suitable. Introductory physics books by Young and Freedman, Halliday and Resnick, or Knight are all appropriate (and older editions are fine).

What if I take a vacation?

The course schedule is designed with this in mind! Course contents are released four weeks ahead of the deadline, so even if you have a four-week vacation, you do not need to miss any deadlines and can still complete all of the material.

Will I get a certficiate?

Yes! This course awards certificates to all who satisfactorily complete the required portion of the course.

How are grades assigned?

There are three parts of the course that are worth points: Checkpoint problems that are folded in with the reading, Homework problems that come at the end of each unit, and Quizzes that are at the end of every 1-2 units. Each is worth a varying number of points, and you will not have to do every problem.

The course consists of 11 required units and three optional units. You do not need to complete the optional units in order to receive a certificate.

There is no final exam.