## Neural networks

Neural networks

- But what is a Neural Network? | Deep learning, chapter 1
- Gradient descent, how neural networks learn | Deep learning, chapter 2
- What is backpropagation really doing? | Deep learning, chapter 3
- Backpropagation calculus | Deep learning, chapter 4

## Essence of calculus

Essence of calculus

- The Essence of Calculus, Chapter 1
- The paradox of the derivative | Essence of calculus, chapter 2
- Derivative formulas through geometry | Essence of calculus, chapter 3
- Visualizing the chain rule and product rule | Essence of calculus, chapter 4
- What’s so special about Euler’s number e? | Essence of calculus, chapter 5
- Implicit differentiation, what’s going on here? | Essence of calculus, chapter 6
- Limits, L’Hopital’s rule, and epsilon delta definitions | Essence of calculus, chapter 7
- Integration and the fundamental theorem of calculus | Essence of calculus, chapter 8
- What does area have to do with slope? | Essence of calculus, chapter 9
- Higher order derivatives | Essence of calculus, chapter 10
- Taylor series | Essence of calculus, chapter 11
- What they won’t teach you in calculus

## Differential equations

Differential equations

- Differential equations, studying the unsolvable | DE1
- But what is a partial differential equation? | DE2
- Solving the heat equation | DE3
- But what is a Fourier series? From heat flow to circle drawings | DE4
- Understanding e to the i pi in 3.14 minutes | DE5

## Essence of linear algebra

Essence of linear algebra

- Vectors, what even are they? | Essence of linear algebra, chapter 1
- Linear combinations, span, and basis vectors | Essence of linear algebra, chapter 2
- Linear transformations and matrices | Essence of linear algebra, chapter 3
- Matrix multiplication as composition | Essence of linear algebra, chapter 4
- Three-dimensional linear transformations | Essence of linear algebra, chapter 5
- The determinant | Essence of linear algebra, chapter 6
- Inverse matrices, column space and null space | Essence of linear algebra, chapter 7
- Nonsquare matrices as transformations between dimensions | Essence of linear algebra, chapter 8
- Dot products and duality | Essence of linear algebra, chapter 9
- Cross products | Essence of linear algebra, Chapter 10
- Cross products in the light of linear transformations | Essence of linear algebra chapter 11
- Cramer’s rule, explained geometrically | Essence of linear algebra, chapter 12
- Change of basis | Essence of linear algebra, chapter 13
- Eigenvectors and eigenvalues | Essence of linear algebra, chapter 14
- Abstract vector spaces | Essence of linear algebra, chapter 15