Coordinate Transformations and Curvilinear Coordinates Tensor Calculus











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In this video, I go over concepts related to coordinate transformations and curvilinear coordinates. I begin with a discussion on coordinate transformations, after which I move on to curvilinear coordinates. • I give 3 important examples of curvilinear coordinates: polar, cylindrical, and spherical. Afterwards, I finish the video by defining the Jacobian matrix and its determinant, the Jacobian. • Questions/requests? Let me know in the comments! • Pre-reqs: The previous videos in the playlist -    • Tensor Calculus   • Lecture Notes: https://drive.google.com/open?id=1rrd... • Patreon: https://www.patreon.com/user?u=4354534 • Twitter:   / facultyofkhan   • Special thanks to my Patrons for supporting me at the $5 level or higher: • Anonymous • Cesar Garza • Odissei • Alvin Barnabas • Jacob Soares • Yenyo Pal • Lisa Bouchard • Bernardo Marques • Connor Mooneyhan • Richard McNair • Guillaume Chereau • Patapom • Vitor Ciaramella • McKay Oyler • Dieter Walter Reule

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