Symmetry, Structure and Tensor Properties of Materials - Massachusetts Institute of Technology



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An upper-level undergraduate engineering course that explores the structure and symmetry of materials and the profound effect that structure has on physical properties of materials.With this course you earn while you learn, you gain recognized qualifications, job specific skills and knowledge and this helps you stand out in the job market.

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Requirements: Introductory chemistry and physics A basic understanding of matrix algebra


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What you'll learn on the course

Properties of Materials

Course programme

In 3.072x: Symmetry, Structure, and Tensor Properties of Materials, you will study the underlying structures of materials and deepen your understanding of the relationship between the properties of materials and their structures. Topics include lattices, point groups, and space groups in both two and three dimensions; the use of symmetry in the tensor representation of crystal properties; and the relationship between crystalline structure and properties, including transport properties, piezoelectricity, and elasticity. Two course projects will allow students to explore their particular interests in greater depth.   FAQ Who can register for this course? Unfortunately, learners from Iran, 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.

Additional information

Eugene Fitzgerald Eugene Fitzgerald is the Merton C. Flemings SMA Professor of Materials Engineering at the Massachusetts Institute of Technology and Fellow in the Singapore-MIT Alliance. Prof. Fitzgerald is Founder and Board Chairman of Innovation Interface. Building upon his early experience at AT&T Bell Labs, he has created and led a series of fundamental innovations, from early technology to final implementation in the market. He received a BS degree in Materials Science and Engineering in 1985 from MIT and his PhD in the same discipline from Cornell University in 1989. Richard Taylor Richard H. Taylor received a BS and MS degree in Physics from Brigham Young University and a PhD in Materials Science from Duke University.