See the math behind the money,
one picture at a time.
Every formula in finance — compound interest, duration, the Greeks, value at risk, Black–Scholes — is stitched from a few mathematical ideas. Math Masters teaches those ideas the way they should be taught: visually. Drag a tangent line and watch a derivative appear. Add Taylor terms and watch a curve straighten. Turn up the sample size and watch a bell curve emerge. Leave able to read the equations everywhere else.
Money over time is exponential — it compounds. Meet the two functions that describe every growing (and shrinking) balance, learn why finance measures returns in logarithms, and discover the geometric series that quietly prices every annuity, perpetuity and bond.
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Level 1 Exponential Growth & Compounding ★★★ ◆
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🔒Level 2 Logarithms & Log Returns ★★★ ◆◆ Needs: L01
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🔒Level 3 Geometric Series & the Perpetuity ★★★ ◆◆ Needs: L02
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🔒 👑Level 4 · EXAM Growth & Decay Exam ★★★ ◆◆ Needs: L03
Finance is obsessed with sensitivity: how much does a bond move when yields shift, how much does an option move when the stock ticks? That is calculus. Learn to see a derivative as a slope, extend it to many inputs for the Greeks, approximate curves with Taylor series, and add up the infinitesimal with integrals.
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🔒Level 5 Derivatives: The Slope of Everything ★★★ ◆◆ Needs: L04
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🔒Level 6 Partial Derivatives & the Greeks ★★★ ◆◆◆ Needs: L05
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🔒Level 7 Taylor Series: Duration & Convexity ★★★ ◆◆◆ Needs: L06
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🔒Level 8 Integrals: Area, Probability, Expectation ★★★ ◆◆◆ Needs: L07
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🔒 👑Level 9 · EXAM The Calculus of Change Exam ★★★ ◆◆◆ Needs: L08
No one knows tomorrow's price, but the shape of what might happen can be measured. Build probability from the coin flip up, meet the normal and lognormal distributions finance lives inside, quantify return and risk as expectation and variance, and learn how correlation and beta tie assets together.
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🔒Level 10 Probability & Random Variables ★★★ ◆◆ Needs: L09
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🔒Level 11 The Normal & Lognormal Distributions ★★★ ◆◆◆ Needs: L10
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🔒Level 12 Expected Value & Variance ★★★ ◆◆◆ Needs: L11
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🔒Level 13 Covariance, Correlation & Beta ★★★ ◆◆◆ Needs: L12
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🔒 👑Level 14 · EXAM The Mathematics of Uncertainty Exam ★★★ ◆◆◆ Needs: L13
A portfolio is a vector; its risk is a matrix sandwich. Learn to think in vectors and matrices, compute portfolio variance the way every risk system does, then take a first visual look at Brownian motion and Itō's lemma — the moving parts that assemble into the Black–Scholes equation.
Become a Math Master
Clear all 18 levels and the four exams to leave with the working mathematical toolkit behind modern finance: exponentials and logs, derivatives and partial derivatives, Taylor approximation, integration, probability and the normal distribution, covariance and beta, vectors and matrices — and a first, visual look at the stochastic calculus that produces Black–Scholes.
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