Module 1
Single-Variable Calculus
Limits, derivatives, integrals, and the Fundamental Theorem.
Module 2
Multivariable Calculus
Partial derivatives, gradients, double integrals, and Lagrange optimisation.
Module 3
Linear Algebra
Linear systems, eigenvalues, quadratic forms, and least squares.
Module 4
Probability
Random variables, expectation, the normal law, Value at Risk, and Bayes.
Module 5
Statistics
Estimation, confidence intervals, hypothesis testing, and regression.
Module 6
Stochastic Processes
Random walks, Brownian motion, martingales, and Black-Scholes.