Vector calculus in curvilinear coordinates! (a helpful intro)
In this video, we learn about how to do derivatives, or differential calculus, in different types of coordinate systems, like spherical coordinates! We'll focus on the gradient of a function. Rather than simply giving you the equations (you can look them up!), we will look at where the equations come from by building out a generic coordinate system to figure out how we translate the gradient. Questions about this or other math topics? Leave a comment and let's tackle it together!

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Integrals in Spherical Coordinates (the explanation you always wanted!)

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An Introduction to Curvilinear Coordinates in Differential Geometry

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Rectangular, cylindrical, and spherical coordinates (introduction & conversion)

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Divergence and curl: The language of Maxwell's equations, fluid flow, and more

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Conceptualizing the Christoffel Symbols: An Adventure in Curvilinear Coordinates

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Lec. 01 | Introduction to Curvilinear Coordinates | Suppose Math with Akhtar Abbas

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The Fundamental Theorem of Gradients | Multivariable Calculus

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To Master Physics, First Master The Rotating Coordinate System

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Double Integration in Polar Coordinates | Example & Derivation
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Div, Grad, and Curl: Vector Calculus Building Blocks for PDEs [Divergence, Gradient, and Curl]

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When Math Isn’t Based in Reality

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Curvilinear Coordinates and Contravariant and Covariant Bases

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The Gradient Operator in Vector Calculus: Directions of Fastest Change & the Directional Derivative

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How to Answer ANY Question (Even If You Don't Know The Answer!)

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Feynman's technique is the greatest integration method of all time

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What is a tensor?

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Gradients, Hessians, and All Those Derivative Tests

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ALL of calculus 3 in 8 minutes.

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Why you don't understand GREEN'S THEOREM -- Geometric Algebra, Calculus 3, Vector Calculus

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