Monocurl Essays
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Monocurl Essays

Written lessons in mathematics, with animated figures and problem sets.

  1. AlgebraWhy the rules you were handed are true, drawn as lengths and areas.7 lessons · Middle and high school
  2. GeometryProofs you can see: triangles, circles, similarity, area and volume.6 lessons · High school
  3. TrigonometrySine and cosine as coordinates on a circle, and everything that follows.6 lessons · High school
  4. PrecalculusFunctions, exponentials, logarithms, complex numbers and series.7 lessons · High school
  5. CalculusRates and accumulation, built from pictures before formulas.9 lessons · High school and early college
  6. Linear AlgebraVectors, matrices as motions of space, determinants and eigenvectors.7 lessons · Early college
  7. Multivariable CalculusSurfaces, gradients, multiple integrals and vector fields.6 lessons · Early college
  8. ProbabilityCounting outcomes, updating beliefs, and why coincidences are common.7 lessons · High school and early college
  9. StatisticsWhat a sample can and cannot tell you about the world.7 lessons · High school and early college
  10. Discrete MathematicsCounting, induction, graphs and the arguments computer science runs on.8 lessons · High school and early college
  11. Logic and ProofWhat follows from what, and how a proof makes you certain.6 lessons · High school and early college
  12. PhysicsMotion, force, energy and waves, with the mathematics drawn in.8 lessons · High school
  13. EconomicsPrices, margins, trade and strategy, read off the graphs.7 lessons · High school and early college
  14. Machine LearningHow a model learns: fitting, gradient descent and neural networks.7 lessons · Early college
  15. AI ProofsProofs found by AI models, worked through from the definitions.1 lesson · High school and early college