Start from a question, not a syllabus.

Maths

Calculus, probability, linear algebra and proof, felt before they are formal.

• Calculus
• Probability & statistics
• Linear algebra
• Number theory
• Proof & logic

Start a quest

• Why does the derivative measure a rate of change?
• How does Bayes’ theorem work?
• What does a matrix actually do to space?
• Why is the central limit theorem true?

Computer science

Algorithms and systems you can step through, break and fix.

• Algorithms
• Data structures
• Dynamic programming
• Systems & scale
• Theory of computation

Start a quest

• What is dynamic programming, really?
• How do shortest-path algorithms work?
• Why is a hash table so fast?
• How does e-commerce search work at scale?

AI

Optimisation, attention and learning machines, from the inside.

• Optimisation
• Neural networks
• Transformers & attention
• Generalisation
• Reinforcement learning

Start a quest

• How does a neural network learn?
• How does attention work in transformers?
• Why do models overfit?
• How does gradient descent train a model?

Physics

Forces, fields, waves and flows you can push on.

• Mechanics
• Fluids
• Waves & optics
• Electromagnetism
• Quantum mechanics

Start a quest

• Explain the Navier–Stokes equation
• Why is the sky blue but sunsets red?
• Explain quantum mechanics
• What keeps a satellite in orbit?