Getting Started
Part 1: Physics With Calculus
Part 2: Vector Calculus
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Part 2 Introduction & Resources
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Scalar & Vector Fields
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Multivariable Calculus & Partial Derivatives
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Double & Triple Integrals
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Gradient, Divergence, Curl & Laplacian
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Parametric Curves & Surfaces
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Line Integrals & Surface Integrals
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Stokes' Theorem & The Divergence Theorem
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The Helmholtz Decomposition Theorem
Bonus Part: Vector Calculus In Curvilinear Coordinates
Part 3: Calculus of Variations
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Part 3 Introduction & Resources
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Introduction To Calculus of Variations
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Functional Derivatives & Variations
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The Euler-Lagrange Equation & Beltrami Identity
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Examples & Applications of Variational Calculus (Part 1/2)
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Solutions of The Geodesic & Brachistochrone Problems (Part 2/2)
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Constrained Optimization & Lagrange Multipliers
Mathematics of General Relativity: A Complete Course
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