3Blue1Brown is a channel about animating math, in all senses of the word animate.
Season 1 · Episode 1
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E1. Vectors, what even are they?
E2. Linear combinations, span, and basis vectors
E3. Linear transformations and matrices
E4. Matrix multiplication as composition
E5. Three-dimensional linear transformations
E6. The determinant
E7. Inverse matrices, column space and null space
E8. Nonsquare matrices as transformations between dimensions
E9. Dot products and duality
E10. Cross products
E11. Cross products in the light of linear transformations
E12. Cramer's rule, explained geometrically
E13. Change of basis
E14. Eigenvectors and eigenvalues
E15. A quick trick for computing eigenvalues
13 min
E16. Abstract vector spaces
17 min
E1. Essence of calculus
E2. The paradox of the derivative
E3. Derivative formulas through geometry
E4. Visualizing the chain rule and product rule
E5. What's so special about Euler's number e?
E6. Implicit differentiation, what's going on here?
E7. Limits, L'Hopital's rule, and epsilon delta definitions
E8. Integration and the fundamental theorem of calculus
E9. What does area have to do with slope?
E10. Higher order derivatives
E11. Taylor series
E12. What they won't teach you in calculus
E1. But what is a Neural Network?
E2. Gradient descent, how neural networks learn
E3. What is backpropagation really doing?
E4. Backpropagation calculus
E1. Overview of differential equations
E2. But what is a partial differential equation?
E3. Solving the heat equation
E4. But what is a Fourier series?
E5. Understanding e to the i pi in 3.14 minutes
E6. How (and why) to raise e to the power of a matrix
27 min
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