10.1: Vector operations (in 2 and n dimensions)
Vectors, what even are they? (3Blue1Brown):
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Adding vectors (Khan Academy):
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Combined vector operations example (Khan Academy):
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Abstract vector spaces (3Blue1Brown):
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10.2: Dot product and norm
Vector dot product and vector length (Khan Academy):
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An Introduction to the Dot Product (PatrickJMT):
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Proving vector dot product properties (Khan Academy):
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Dot products and duality (3Blue1Brown):
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10.3: Application: partial derivatives and tangent planes
Partial derivatives, introduction (Khan Academy - Grant Sanderson):
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Formal definition of partial derivatives (Khan Academy - Grant Sanderson):
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What is a tangent plane (Khan Academy - Grant Sanderson):
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Chain rule for partial derivatives of multivariable functions (KristaKing):
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10.4: Gradients
Gradient (Khan Academy - Grant Sanderson):
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Gradient and graphs (Khan Academy - Grant Sanderson):
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But what *is* a Neural Network? (3Blue1Brown):
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Gradient descent, how neural networks learn (3Blue1Brown):
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What is backpropagation really doing? (3Blue1Brown):
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Backpropagation calculus (3Blue1Brown):
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