Courses tagged with "Calculus I" (77)

Курс посвящен изучению базовых законов электростатики и магнитостатики.

Mechanics is the basis of much of physics, engineering and other technological disciplines. It begins by quantifying motion, and then explaining it in terms of forces, energy, momentum. This allows us to analyse the operation of many familiar phenomena around us, but also the mechanics of planets, stars and galaxies.

Covers the basics of Newtonian mechanics, fluid mechanics, kinetic gas theory and thermodynamics in addition to exploring other real-world phenomena.

Learn about a new generation of solar cells, organic solar cells, that promise an answer to the energy demands of the future.

电磁学是普通物理系列中最重要的基础课之一，是高等学校每一个理工科学生必修课程，本课程包括静电场、导体与电介质、恒定电流、恒磁场、磁介质、电磁感应、交流电、电磁场与电磁波等内容，首次系统地向学生介绍“场”的概念和处理“场”的方法，对学生今后学习和工作有深远的影响。本课程作为北京大学首次向中学开放的中国大学先修课（AP课程）之一，为有志于学习物理及相关专业的学有余力的优秀中学生，培养学科兴趣，提高科学素养，打下扎实的物理基础提供学习的环境和应有的资源。

This course is designed for anyone who is interested in learning more about modern astronomy. We will help you get up to date on the most recent astronomical discoveries while also providing support at an introductory level for those who have no background in science.

The discovery of exoplanets is one of the greatest revolutions in modern astrophysics. Twenty years ago, we had no idea whether any of the countless stars out there beyond our solar system had planets or not.

Today, things are totally different. Over 1,000 planetary systems have been discovered. The universe is teeming with planets. And what strange planets they are - hot Jupiter-like planets skimming the surfaces of their stars, cold and lonely free-floating planets far from any star, planets made of diamond, planets with rain made of glass, super-Earths and even planets orbiting neutron stars. In this course, we’ll bring you up-to-date with the latest research on exoplanets, and how this research has revolutionised our understanding of the formation of solar systems like our own.

This course is designed for people who would like to get a deeper understanding of these mysteries than that offered by popular science articles and shows. You will need reasonable high-school level mathematics and physics to get the most out of this course.

This is the second of four ANUx courses which together make up the Australian National University's first year astrophysics program. It follows on from the introductory course on the Greatest Unsolved Mysteries of the Universe, and is followed by courses on the violent universe and on cosmology. These courses compromise the Astrophysics XSeries. Learn more about the XSeries program and register for all the courses in the series today!

A flow is called hypersonic if the Mach number is greater than 5. This means that the flow speed is more than five times the speed of sound. In air at room temperature, the speed of sound is around 340 m/s, so a Mach 5 flow would have a flow speed of 1.7 km/s or just over 6,000 km/h. When a rocket launches a satellite into earth orbit, when a probe enters the atmosphere of another planet or when an aircraft is propelled by a supersonic combustion ramjet engine (a scramjet), hypersonic flows are encountered. Hypersonics – from Shock Waves to Scramjets introduces the basic concepts associated with flight at speeds greater than Mach 5 and takes students to the stage where they can analyse the performance of a scramjet engine that might be used in a future access-to-space system.

Despite spectacular recent progress, there is still a lot we don't know about our universe. We don't know why the Big Bang happened. We don't know what most of the universe is made of. We don't know whether there is life in space. We don't know how planets form, how black holes get so big, or where the first stars have gone. This course will take you through nine of the greatest unsolved problems of modern astrophysics. We can't promise you the answers, but we will explain what we do and don't know, and give you an up-to-date understanding of current research. This course is designed for people who would like to get a deeper understanding of these mysteries than that offered by popular science articles and shows. 

This is the first of four ANUx courses which together make up the Australian National University's first year astrophysics program. It is followed by courses on exoplanets, on the violent universe, and on cosmology. These courses compromise the Astrophysics XSeries. Learn more about the XSeries program and register for all the courses in the series today!

Ce cours est une première introduction à la mécanique des fluides. Nous allons aborder tout d'abord les propriétés physiques des fluides : les états de la matière et la notion de viscosité. Un chapitre sera dédié à la tension de surface et à la capillarité. Nous introduirons ensuite le concept de similitude et l’utilisation des nombres adimensionnels. Nous allons alors considérer la statique des fluides à travers la loi de l'hydrostatique. La dynamique des fluides sera abordée en premier lieu par la cinématique. Ensuite, nous traiterons des équations de bilan avec notamment une application du théorème de conservation de l’énergie cinétique : le théorème de Bernoulli. Dans le dernier, nous montrerons que ce théorème relativement simple permet d’expliquer et de calculer des écoulements tels que ceux observés dans les rivières. Les vidéos du cours seront enrichies de vidéos d’expériences qui illustreront les concepts clés et par des quiz pour tester votre intuition et vos connaissances. Le dernier module vous permettra de piloter à distance une expérience d'hydraulique qui a lieu dans les laboratoires de l'EPFL.

This course is presented in French. 

The study of the night sky instilled wonder in our ancestors. Modern astronomy extends the human view to previously unexplored regions of space and time. In this course, you will gain an understanding of these discoveries through a focus on relativity—Einstein's fascinating and non-intuitive description of the physical world. By studying relativity and astronomy together, you will develop physical insight and quantitative skills, and you’ll regain a profound sense of wonder for the universe we call home.

FAQ

• What topics will the course cover?
  • Section One—Introduction
  • Section Two—3, 2, 1 … Launching the journey into spacetime
  • Section Three—Special relativity: from light to dark
  • Section Four—General relativity: from flat to curved

• Is there a required textbook?

  • No textbook is required. Notes will be posted weekly. A list of supplemental resources, including textbooks, will be provided.​​

• What are the learning outcomes of this course?

  • Explain the meaning and significance of the postulates of special and general relativity.

  • Discuss significant experimental tests of both special and general relativity.

  • Analyze paradoxes in special relativity.

  • Apply appropriate tools for problem solving in special relativity.

  • Describe astrophysical situations where the consequences of relativity qualitatively impact predictions and/or observations.

  • Describe daily situations where relativity makes a difference.

Preparing for the AP Physics 2 exam requires a deep understanding of many different topics in physics as well as an understanding of the AP exam and the types of questions it asks. This course is Part 1 of our AP Physics 2 series designed to prepare you for the AP exam. 

In Part 1, you will learn about fluids and thermodynamics. You will explore pressure, buoyant forces and concepts that involve conservation of mass and energy. You will also be learning about heat, its transfer and how we have taken advantage of its behavior in different types of technology.

As you work through this course, you will find lecture videos taught by expert AP physics teachers, practice multiple choice questions and free response questions that are similar to what you will encounter on the AP exam and tutorial videos that show you step-by-step how to solve problems. By the end of the course, you will be prepared to take on the AP exam!

This course is authorized as an Advanced Placement® (AP®) course by the AP Course Audit. The AP Course Audit was created by the College Board to give schools and students the confidence that all AP courses meet or exceed the same clearly articulated curricular expectations of colleges and universities.

By taking an AP course and scoring successfully on the related AP Exam, students can:

• Stand Out in College Admissions
• Earn College Credits
• Skip Introductory Classes
• Build College Skills

Advanced Placement® and AP® are trademarks registered and/or owned by the College Board, which was not involved in the production of, and does not endorse, these offerings.

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.

Week 1: A first simple neuron model

Week 2:  Hodgkin-Huxley models and biophysical modeling

Week 3: Two-dimensional models and phase plane analysis

Week 4: Two-dimensional models (cont.)/ Dendrites

Week 5: Variability of spike trains and the neural code

Week 6: Noise models, noisy neurons and coding

Week 7: Estimating neuron models for coding and decoding

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

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 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.