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Mathematics & statistics

Contents

8 chapters
  1. 01

    Mathematical Foundations

    A return to arithmetic, algebra, geometry, trigonometry, and the ideas that connect them.

  2. 02

    Trigonometry

    Radians, the unit circle, trigonometric functions, and vector similarity.

  3. 03

    Calculus

    Functions, derivatives, signed integrals, and activation functions.

  4. 04

    Linear Algebra

    Dot products, matrix multiplication, affine layers, and their backward passes.

  5. 05

    Vector Calculus

    Scalar fields, gradients, Jacobians, Hessians, and local approximations.

  6. 06

    Neural Networks

    Build a two-layer classifier: forward propagation, backpropagation, Adam, and overfitting.

  7. 07

    Probability Theory

    Random variables, distributions, expectation, and conditional probability.

    Planned
  8. 08

    Hypothesis Testing

    Sampling, confidence intervals, significance, and statistical power.

    Planned