In this video we introduce the notion of a vector field, how it differs from a scalar field, and how to plot a basic 2D field by hand.

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This calculus 2 video tutorial explains how to find the area of an ellipse using a simple formula and how to derive the formula by integration using calculus. Subscribe: https://www.youtube.com/channel/UCEWpbFLzoYGPfuWUMFPSaoA?sub_confirmation=1 Graphing Ellipses: https://www.youtube.com/watch?v=HvV46ka3vZ0 Writing Equations of Ellipses: https://www.youtube.com/watch?v=emShn_sWhCo Calculus Video Playlist: https://www.youtube.com/watch?v=1xATmTI-YY8&t=25s&list=PL0o_zxa4K1BWYThyV4T2Allw6zY0jEumv&index=1 Access to Premium Videos: https://www.patreon.com/MathScienceTutor https://www.facebook.com/MathScienceTutoring/

Here we define linear transformation of vector spaces, kernel of linear transformation, image of linear transformation. We prove the theorems relating to kernel and image of linear transformation. We also prove the Rank-nullity theorem. #linearalgebra#ranknullitytheorem

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Before I met Jonathan, I was struggling through most of my STEM classes because I was simply not studying properly. He taught me all kinds of new study habits that would help me to save time, raise my grades, and lower my stress. Jonathan was specifically tutoring me in vector calculus and is an amazing tutor on the subject. You will walk away from a lesson with a game plan knowing exactly what you need to do before your next session with him or before your next exam in order to do well in the course. I highly recommend him as a tutor.

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