Courses tagged with "Calculus I" (279)

Effective field theory is a fundamental framework to describe physical systems with quantum field theory. Part I of this course covers common tools used in effective theories. Part II is an in depth study of the Soft-Collinear Effective Theory (SCET), an effective theory for hard interactions in collider physics.

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.

PHYS 102.1x serves as an introduction to electricity and magnetism, following the standard second semester college physics sequence. Part 1 begins with electric charge in matter, the forces between charges, the electric field, Gauss’s Law, and the electric potential. Electric current and resistance are introduced, and then DC circuits are described, including time-dependent behavior with resistors and capacitors. PHYS 102.1x consists of 5 weekly learning sequences, each with ~1.5 hours of video lectures, conceptual lecture problems, and online homework questions. The course concludes with an online exam during the 6th week.  

What are the prerequisites?
We will assume that you are familiar with vectors, that you know how to calculate integrals, and that you have had introductory mechanics. These topics will be briefly reviewed as needed, but not in a systematic way. If you have not had classes in these topics it may be possible to complete the course with extra study.

What textbook is required?
The course will not strictly follow or make assignments from a specific textbook.  Any recent freshman physics textbook will suffice. Reading assignments will be given by topic, including links to several free online physics textbooks.

PHYS 102x serves as an introduction to electricity and magnetism, following the standard second semester college physics sequence. Part 2 begins with the nature of the magnetic field and how it is created by current distributions and magnetic materials. Next, Faraday’s law of induction is described, as well as some of its applications and interesting effects. Finally, inductors and AC circuits are covered, including RLC circuits, reactances of circuit elements, and resonance. PHYS 102.2x consists of 5 weekly learning sequences, each with ~1.5 hours of video lectures, conceptual lecture problems, and online homework questions. The course concludes with an online exam during the 6th week. 

This freshman-level course is the second semester of introductory physics. The focus is on electricity and magnetism. The subject is taught using the TEAL (Technology Enabled Active Learning) format which utilizes small group interaction and current technology. The TEAL/Studio Project at MIT is a new approach to physics education designed to help students develop much better intuition about, and conceptual models of, physical phenomena.

Acknowledgements

The TEAL project is supported by The Alex and Brit d'Arbeloff Fund for Excellence in MIT Education, MIT iCampus, the Davis Educational Foundation, the National Science Foundation, the Class of 1960 Endowment for Innovation in Education, the Class of 1951 Fund for Excellence in Education, the Class of 1955 Fund for Excellence in Teaching, and the Helena Foundation. Many people have contributed to the development of the course materials. (PDF)

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 is the second in a series on Electromagnetism beginning with Electromagnetism I (8.02 or 8.022). It is a survey of basic electromagnetic phenomena: electrostatics; magnetostatics; electromagnetic properties of matter; time-dependent electromagnetic fields; Maxwell's equations; electromagnetic waves; emission, absorption, and scattering of radiation; and relativistic electrodynamics and mechanics.

Nuestras economías están sedientas de energía. Sin energía la economía mundial simplemente se detendría en seco; no habría generación suficiente de electricidad, combustibles para los automóviles, transporte público, transporte terrestre de mercancías, ya sea por ferrocarril o autobús. No se podrían mover las mercancías por vía marítima, la producción alimenticia sufriría de problemas, el suministro de agua potable se vería comprometido.

La energía ha permitido desde finales del Siglo XVIII, un desarrollo sin igual en los ámbitos científico, tecnológico y económico de nuestra sociedad. Hemos gozado, hasta ahora, de un suministro relativamente barato de energía a través de los combustibles fósiles, generando un impacto ambiental negativo.

La trayectoria seleccionada de consumo de combustibles fósiles hasta el momento, no es sostenible a largo plazo. De ahí el reto que no debemos esquivar, aun cuando lo podríamos negar: ¿qué debemos hacer para lograr una supervivencia futura hacia una economía de bajo carbono con una menor dependencia de los combustibles fósiles, y así asegurar que las generaciones futuras tengan la posibilidad de disfrutar una mejor calidad de vida?

Estamos ante un hito histórico sobre cómo debemos usar y apropiarnos de los recursos naturales, así como trabajar en disminuir la pobreza y desigualdad social.

Este curso te permitirá adentrarte al fascinante mundo de la energía. Los contenidos del curso, además de brindarte herramientas para la interpretación y manejo de información básica sobre la energía, te llevarán a través de los cambios históricos ligados con la energía que han sido fundamentales en el desarrollo de la sociedad moderna. Los contenidos del curso te ayudarán a la resolución de preguntas como: ¿ha sido siempre la energía un factor de cambio en el desarrollo de la sociedad? ¿la era del petróleo se terminará antes de que se termine el petróleo? ¿cuál es la importancia actual de los energéticos en la economía? ¿te imaginas cómo se obtendrá la energía necesaria para mantener nuestra calidad de vida en el futuro?

El recurso energético está ligado al desarrollo, bienestar, sustentabilidad e independencia de las sociedades modernas.

La utilización y administración adecuada de los diferentes recursos energéticos impactará tanto en el progreso futuro propio como en el poder económico.

Es imperativo conocer a profundidad los pros y contras de las diferentes tecnologías energéticas para minimizar el impacto negativo en el propio entorno al seleccionar, usar, racionalizar y aprovechar las energías empleadas en el diario quehacer.

El participante desarrollará competencias de análisis y juicio crítico ante la selección de un recurso energético, elaborando un discurso consciente y fundamentado donde se considere el entorno y sus recursos.

El participante podrá predecir para las tecnologías de producción energética:

• Capacidades;
• Eficiencias y rendimientos;
• Indicadores de la huella ecológica.

Are you interested in improving your mechanics or introducing yourself to the subject all together? Join our unique course, devised by the Ural Federal University. Through our innovative approach, you will receive the basic traditional material by engaging in practically-oriented tasks and learn the strictly theoretical mathematical analysis of basic concepts. You will be introduced to mathematical modelling of engineering designs, standard machines, and mechanisms using 2D and 3D diagrams. The course begins with statics, which is the science of forces.

By the end of the course you will be able to:

• write down equilibrium conditions of structural elements and units of machines and mechanisms.
• perform the substitution of one system of forces that acts upon the structural elements and components of mechanisms with another equivalent one.
• create 2D and 3D diagrams of equilibrium in the standard engineering objects.
• choose appropriate mathematical models for calculating geometric parameters and force loads in the problems related to equilibrium of the engineering structures.
• apply combinations of mathematical operations according to the obtained mathematical models, when creating and solving equations describing equilibrium of the engineering structures.

The weekly course includes video lectures on theoretical concepts, video demonstrations of the solutions of practical problems, tasks for students’ training, individual task, interim and final tests.

Learn how to make effective decisions about your future career and how to take control of your professional development by honing your critical thinking and employability skills. Suitable for anyone undertaking some form of study, regardless of academic discipline, interests or employment background.

Junior Lab consists of two undergraduate courses in experimental physics. The courses are offered by the MIT Physics Department, and are usually taken by Juniors (hence the name). Officially, the courses are called Experimental Physics I and II and are numbered 8.13 for the first half, given in the fall semester, and 8.14 for the second half, given in the spring.

The purposes of Junior Lab are to give students hands-on experience with some of the experimental basis of modern physics and, in the process, to deepen their understanding of the relations between experiment and theory, mostly in atomic and nuclear physics. Each term, students choose 5 different experiments from a list of 21 total labs.

Study of physical effects in the vicinity of a black hole as a basis for understanding general relativity, astrophysics, and elements of cosmology. Extension to current developments in theory and observation. Energy and momentum in flat spacetime; the metric; curvature of spacetime near rotating and nonrotating centers of attraction; trajectories and orbits of particles and light; elementary models of the Cosmos. Weekly meetings include an evening seminar and recitation. The last third of the semester is reserved for collaborative research projects on topics such as the Global Positioning System, solar system tests of relativity, descending into a black hole, gravitational lensing, gravitational waves, Gravity Probe B, and more advanced models of the Cosmos.

This is an Exploratorium Teacher Institute professional development course open to any science teacher (particularly middle or high school level) and light enthusiast. Participants will engage in hands-on STEM activities that allow them to directly experience natural phenomena and gain an understanding of how the Exploratorium helps people learn.

An introduction to quantum physics with emphasis on topics at the frontiers of research, and developing understanding through exercise.

Making decisions about managing natural resources can be difficult; this course explores why fairness needs to be part of policy.

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 physics course is designed to expose teachers of introductory physics, from novice to experienced, to effective tools for teaching physics at the high school level. Learn (or re-learn) basic concepts, including Newton’s laws, motion, momentum, and energy. Become a more competent and engaging teacher by familiarizing yourself with the historical development of these concepts, and with the physics education research literature about ways to teach the concepts effectively. Learn to employ research-based methods to help your students succeed in physics.

It covers the following content:

• Kinematics
• Projectile motion
• Forces and Newton’s laws
• Impulse and work
• Conservation of energy
• Readings of, and discussion about, the conceptual history of physics and relevant education research

In your final projects, you will develop a research-based lesson plan that you can use in your own teaching.

In this physics course, you will learn about the structure and function of our universe, from the micro-world of quantum fields and atoms up to the mega-world of stars and galaxies.

You will learn about the objective laws governing the physical world and about methods, provided mainly by physics, which allow us to obtain such knowledge.

This course is taught by the National Research Nuclear University MEPhI, one of the world leaders in nuclear science and education. Our hope is that this course will help boost your curiosity and positively influence or even help to determine your future professional career.

This course is for anyone is who is curious about how our world is constructed and wants to learn more about our universe and the nature surrounding us.

Knowledge of physics and mathematics is NOT required. Basic school level will be quite enough.

This course will cover various topics on the discoveries about how the Universe evolved in 13.7 billion years since the Big Bang.