Online courses directory (10358)

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.”

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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.

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Masterpieces of Western Art at Columbia University is part of the Art Humanities Series. Masterpieces of Western Art has

This literature course explores how great writers refract their world and how their works are transformed when they intervene in our global cultural landscape today.

No national literature has ever grown up in isolation from the cultures around it; from the earliest periods, great works of literature have probed the tensions, conflicts, and connections among neighboring cultures and often more distant regions as well.

Focusing particularly on works of literature that take the experience of the wider world as their theme, this course will explore the varied artistic modes in which great writers have situated themselves in the world, helping us to understand the deep roots of today's intertwined global cultures.

Texts/authors considered in the course:

• Goethe
• The Epic of Gilgamesh
• Homer, The Odyssey
• The 1001 Nights
• Voltaire, Candide
• Orhan Pamuk, My Name is Red
• Wole Soyinka, Death and the King's Horseman
• Lu Xun, Diary of a Madman
• Eileen Chang
• Murasaki Shikibu, The Tale of Genji Jorge
• Luis Borges, Ficciones
• Salman Rushdie and Jhumpa Lahiri
• The Lusiads

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This course is a core requirement for the Masters in Engineering program, designed to teach students about the roles of today's professional engineer and expose them to team-building skills through lectures, team workshops, and seminars. Topics include: written and oral communication, job placement skills, trends in the engineering and construction industry, risk analysis and risk management, managing public information, proposal preparation, project evaluation, project management, liability, professional ethics, and negotiation. The course draws on relevant large-scale projects to illustrate each component of the subject.

Clases de reposición para estudiantes ausentes y resumen de la clases

El curso propone un acercamiento a la Matemática Preuniversitaria donde el contexto del movimiento en línea recta dará significado al conocimiento y la tecnología será el medio para interactuar con el mismo.

Mustaqil o’rganuvchilar uchun matematikadan video-darslar

In this course, you'll learn how to apply the material design principles that define Android's visual language to your apps. We'll start by walking you through Android design fundamentals, then we'll show you how to apply this knowledge to transform design elements of sample apps. By the end of the course, you'll understand how to create and use material design elements, surfaces, transitions and graphics in your app, across multiple form factors.

Watch fun, educational videos on all sorts of Materials, how they're created and what they can do. Whats all the matter? Atoms and Molecules. What is Soap?. Flocculation: Making Clean Water. Manufacturing Processes: Hands On to Hands Off. Whats all the matter? Atoms and Molecules. What is Soap?. Flocculation: Making Clean Water. Manufacturing Processes: Hands On to Hands Off.

Material covered in this course includes the following topics:

• Laws of thermodynamics: general formulation and applications to mechanical, electromagnetic and electrochemical systems, solutions, and phase diagrams
• Computation of phase diagrams
• Statistical thermodynamics and relation between microscopic and macroscopic properties, including ensembles, gases, crystal lattices, phase transitions
• Applications to phase stability and properties of mixtures
• Computational modeling
• Interfaces

This course was also taught as part of the Singapore-MIT Alliance (SMA) programme as course number SMA 5111 (Materials at Equilibrium).

This class provides an introduction to the interactions between cells and the surfaces of biomaterials. The course covers: surface chemistry and physics of selected metals, polymers, and ceramics; surface characterization methodology; modification of biomaterials surfaces; quantitative assays of cell behavior in culture; biosensors and microarrays; bulk properties of implants; and acute and chronic response to implanted biomaterials. General topics include biosensors, drug delivery, and tissue engineering.

This course examines the ways in which people in ancient and contemporary societies have selected, evaluated, and used materials of nature, transforming them to objects of material culture. Some examples are: glass in ancient Egypt and Rome; sounds and colors of powerful metals in Mesoamerica; cloth and fiber technologies in the Inca empire. It also explores ideological and aesthetic criteria often influential in materials development. Laboratory/workshop sessions provide hands-on experience with materials discussed in class. This course complements 3.091.

In this course, we will lay the foundation for understanding how materials behave in nuclear systems. In particular, we will build on a solid base of nuclear material fundamentals in order to understand radiation damage and effects in fuels and structural materials. This course consists of a series of directed readings, lectures on video, problem sets, short research projects, and class discussions with worked examples. We will start with an overview of nuclear materials, where they are found in nuclear systems, and how they fail. We will then develop the formalism in crystallography as a common language for materials scientists everywhere. This will be followed by the development of phase diagrams from thermodynamics, which predict how binary alloy systems evolve towards equilibrium. Then effects of stress, defects, and kinetics will be introduced. These will all be tied together when developing theories about how radiation, particularly neutrons and heavy charged particles, interact with solid matter to produce defects and evolve microstructure. A few applications of radiation effects will then be treated with this newfound framework, including the change of material properties under irradiation, void swelling, embrittlement, loss of ductility, and the simulation of in-reactor irradiation (neutrons) with heavy ions.

This course is a required sophomore subject in the Department of Materials Science and Engineering, designed to be taken in conjunction with the core lecture subject 3.012 Fundamentals of Materials Science and Engineering. The laboratory subject combines experiments illustrating the principles of quantum mechanics, thermodynamics and structure with intensive oral and written technical communication practice. Specific topics include: experimental exploration of the connections between energetics, bonding and structure of materials, and application of these principles in instruments for materials characterization; demonstration of the wave-like nature of electrons; hands-on experience with techniques to quantify energy (DSC), bonding (XPS, AES, FTIR, UV/Vis and force spectroscopy), and degree of order (x-ray scattering) in condensed matter; and investigation of structural transitions and structure-property relationships through practical materials examples.

Professor Anne Mayes led the development and teaching of this course in prior years.

This course is focused on physical understanding of materials processing, and the scaling laws that govern process speed, volume, and material quality. In particular, this course will cover the transport of heat and matter as these topics apply to materials processing.

As its name implies, the 3.042 Materials Project Laboratory involves working with such operations as investment casting of metals, injection molding of polymers, and sintering of ceramics. After all the abstraction and theory in the lecture part of the DMSE curriculum, many students have found this hands-on experience with materials to be very fun stuff - several have said that 3.042/3.082 was their favorite DMSE subject. The lab is more than operating processing equipment, however. It is intended also to emulate professional practice in materials engineering project management, with aspects of design, analysis, teamwork, literature and patent searching, Web creation and oral presentation, and more.

This engineering course presents a broad multidisciplinary approach to understanding and manipulating the mechanical, electrical, optical and magnetic properties of materials.

Materials have always been the keystone of society, and they are playing an increasingly paramount role in our high-tech age. Correspondingly, materials scientists and engineers are highly valued and well-paid specialists.

The course content is closely related to chemical, mechanical, electrical, computing, and bio- and civil engineering. This course will provide key information about fundamental characteristics of a variety of materials including metals, ceramics, polymers, and electronic materials.  

Taught by professor Alexander Mukasian, who has decades of experience in various materials science and engineering areas, this course will provide the essential basis for an engineering education.

This course considers:

• How the physical properties of metals, ceramics polymers and composites are correlated with their internal structures (on atomic, molecular, crystalline, micro- and macro- scales) and operational conditions (mechanical, thermal, chemical, electrical and magnetic)
• How materials processing, e.g. mechanical working and heat treatment, affects their properties and performance.
• The latest achievements in Materials Science and Engineering

Basic knowledge in chemistry and physics is required.