Differential vector operators in curvilinear coordinates: Mathematical Physics II #1.2 | ZC OCW

Differential vector operators in curvilinear coordinates: Mathematical Physics II #1.2 | ZC OCW

HomeZewail City OpenCourseWareDifferential vector operators in curvilinear coordinates: Mathematical Physics II #1.2 | ZC OCW
Differential vector operators in curvilinear coordinates: Mathematical Physics II #1.2 | ZC OCW
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The metric matrix will be used to construct the line element, area element and volume element in the new coordinates. The gradient operator, divergence and Laplacian in curvilinear coordinates will be introduced.

Chronology:
00:00 Introduction and course details
00:13 The line item
03:22 Surface and volume elements
09:24 Integrals
12:10 An example of coordinate transformations
43:22 Non-orthogonal coordinate system
56:14 Differential vector operators

About this course (Mathematical Physics II):
Instructor: Dr. Ali Nassar, Assistant Professor of the Physics of Earth and Universe (PEU) Program at Zewail City University of Science and Technology, Egypt.
For more details about the course, check out the course playlist here: https://www.youtube.com/playlist?list=PL-XWNe_oYcGOnRvkXNBOJbUXGFrSneeXd

About ZC OCW:
Zewail City OpenCourseWare (ZC OCW) is a project that aims to provide public access to university-level courses taught at the University of Science and Technology in Zewail City, Egypt.
For more updates about us, check out our Facebook page: https://www.facebook.com/ZCOCW
For more lessons, check out our YouTube channel: https://www.youtube.com/c/ZCOCW

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