Calculus & mathematical models

Study change, accumulation, sensitivities and differential equations from first principles.

Build understanding through notation, hand calculations, Python examples and checks of the assumptions.

Understand change, then learn the rules for measuring it. No finance background is needed.

7 lessons · functions · limits · slopes · chain rule · optimisation

Build totals from rates, reverse differentiation, and understand continuous averages.

7 lessons · Riemann sums · antiderivatives · substitution · integration by parts

Change one input, follow several inputs together, and measure interactions.

5 lessons · partial derivatives · gradients · Hessians · constraints

Turn a rate rule into a path, and learn what a numerical solver actually approximates.

4 lessons · ODEs · initial conditions · Euler steps · PDEs

Convert forecasts into decisions whose constraints and failure modes can be checked.

8 lessons · feasibility · curvature · duality · robust bounds · transaction costs

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