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 · ▶ NEXT Exponential Growth & Compounding ★★★ ◆
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Level 2 Logarithms & Log Returns ★★★ ◆◆ 🧩 Builds on L01
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Level 3 Geometric Series & the Perpetuity ★★★ ◆◆ 🧩 Builds on L02
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👑Level 4 · EXAM Growth & Decay Exam ★★★ ◆◆ 🧩 Builds on 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 ★★★ ◆◆ 🧩 Builds on L04
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Level 6 Partial Derivatives & the Greeks ★★★ ◆◆◆ 🧩 Builds on L05
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Level 7 Taylor Series: Duration & Convexity ★★★ ◆◆◆ 🧩 Builds on L06
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Level 8 Integrals: Area, Probability, Expectation ★★★ ◆◆◆ 🧩 Builds on L07
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👑Level 9 · EXAM The Calculus of Change Exam ★★★ ◆◆◆ 🧩 Builds on 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 ★★★ ◆◆ 🧩 Builds on L09
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Level 11 The Normal & Lognormal Distributions ★★★ ◆◆◆ 🧩 Builds on L10
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Level 12 Expected Value & Variance ★★★ ◆◆◆ 🧩 Builds on L11
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Level 13 Covariance, Correlation & Beta ★★★ ◆◆◆ 🧩 Builds on L12
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👑Level 14 · EXAM The Mathematics of Uncertainty Exam ★★★ ◆◆◆ 🧩 Builds on 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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