- 00 Preview
- 01 Vectors, what even are they?
- 02 Linear combinations, span, and basis vectors
- 03 Linear transformations and matrices
- 04 Matrix multiplication as composition
- 05 Three-dimensional linear transformations
- 06 The determinant
- 07 Inverse matrices, column space and null space
- 08 Nonsquare matrices as transformations between dimensions
- 09 Dot products and duality
- 10 Cross products
- 11 Cross products in the light of linear transformations
- 12 Cramer's rule, explained geometrically
- 13 Change of basis
- 14 Eigenvectors and eigenvalues
- 15 Abstract vector spaces
- 01 The Essence of Calculus
- 02 The paradox of the derivative
- 03 Derivative formulas through geometry
- 04 Visualizing the chain rule and product rule
- 05 What's so special about Euler's number e?
- 06 Implicit differentiation, what's going on here?
- 07 Limits, L'Hopital's rule, and epsilon delta definitions
- 08 Integration and the fundamental theorem of calculus
- 09 What does area have to do with slope?
- 10 Higher order derivatives
- 11 Taylor series
- 12 What they won't teach you in calculus
- 01 But what is a Neural Network?
- 02 Gradient descent, how neural networks learn
- 03 What is backpropagation really doing?
- 04 Backpropagation calculus