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Master Math

Adult-grade math intuition: probability, calculus, statistics, and linear algebra — without the textbook overwhelm.

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Eigenvalues and eigenvectors

Understand eigenvalues and eigenvectors — the directions a transformation leaves unchanged, and why they show up everywhere from PCA to physics.

Bayes theorem

Understand Bayes' theorem — how to update beliefs with new evidence, why priors matter, and where intuition usually fails the math.

Derivatives in calculus

Build intuition for derivatives — instantaneous rate of change, slope of a curve, and how optimization rests on finding zeros.

P-values

Understand p-values — what they actually mean, what they don't, and why so many published findings still get them wrong.

Linear regression

Understand linear regression — fit a line through data, read its coefficients, and know when the assumptions break down.

Central limit theorem

Grasp the central limit theorem — why averages of independent samples trend Gaussian, and why so much statistics rests on this.

Probability vs statistics

Compare probability and statistics — one starts from a model and predicts data, the other starts from data and infers the model.

Gradients

Understand gradients — vectors pointing uphill in a function, why machine learning trains by walking downhill against them.

Imaginary numbers

Understand imaginary numbers — what i actually represents, why it isn't 'fake,' and where it makes engineering and physics work.

Matrix multiplication

Understand matrix multiplication — what it computes geometrically, why dimensions have to match, and where it powers AI and graphics.

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Math — LearnBench