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#differentialgeometrylecture #differentialgeometryintroduction #differentialgeometry In this lecture of differential geometry you will be learning about the curve Astroid,. Taking ahead from the earlier lesson of parameterization, in this lesson explores more about parameterization using the astroid curve. You will learn about vector valued function, the velocity vector and how a particle traces a path around the curve and what is a tangent line. Putting all these things together, you will find some nice visuals along with animations that will make your understanding of this lesson profound. 00:00 - 03:12 - Recap of the earlier lesson 03:13 - 08:35 - What is Astroid curve 08:36 - 10:04 - Astroid curve tracing 10:05 - 12:44 - Quadrants of the Astroid Curve 12:45 - 16:23 - How an Astroid curve is formed 16:24 - 21:49 - What is vector valued function 21:50 - 24:44 - What is velocity vector 24:45 - 28:33 - Velocity vector of an Astroid curve 28:34 - 29:04 - What is tangent line 29:05 - 32:13 - Tangent line, velocity vector and position vector 32:14 - 32:32 - Tangent line equation of a circle 32:33 - 32:36 - What is the equation of tangent line 32:37 - 37:23 - Tangent line of an Astroid curve 37:24 - 37:51 - Conclusion Subscribe for more physics and mathematics videos: https://www.youtube.com/physicsforstu... Join this channel to get access to perks: / @physicsforstudents (1) Channel: https://www.youtube.com/physicsforstu... (2) Linkedin: / physicsforstudents Email: contact.physicsforstudents@gmail.com Contact: +91 9830219677 The objective of this channel is to provide educative videos on physics and mathematics. Playlists: (1) Most Watched Videos • Most watched videos (2) General Theory of Relativity • General Theory of Relativity (3) Quantum Mechanics • Quantum Mechanics (4) Quantum Field Theory Lectures • Quantum Field Theory Lectures (5) Classical Physics • Classical Physics (6) How To Learn Differential Geometry • How To Learn Differential Geometry (7) Topology • Topology (8) Biographies • Biographies (9) Vectors and Tensors • Vectors and Tensors (10) Interview Questions and Answers • Interview Questions and Answers (11) Podcast on Science and Mathematics • Podcast on Science and Mathematics (12) How To Learn Physics and Mathematics • How To Learn Physics and Mathematics (13) Tagore Einstein Conversations https://www.youtube.com/playlist?list... (14) Grigori Perelman • Grigori Perelman My name is Shounak. I teach in a college. My subject of specialization is the general theory of relativity, tensor calculus, and topology. I also teach communicative English. Copyright © 2025 Physics for Students. All rights reserved. #differentialgeometrycurvesinspace #differentialgeometrycurves #differentialgeometryandtensoranalysis #differentialgeometryintroduction #differentialgeometryforbeginners #differentialgeometryplaylist #differentialgeometrymscmathematics #differentialgeometryfullplaylist #differentialgeometryfullcourse #introductiontodifferentilgeometry #differentialgeometryfordummies #differentialgeometrybasics #differentialgeometryconcepts #whatisastroidcurve #astroidcurvetracing #astroidcurve #vectorvaluedfunction #whatisvelocityvector #physicsforstudents