Foundational

Calculus for Quants

The calculus a quant uses every day — limits, derivatives, Taylor series, integration, multivariable gradients and Lagrange multipliers, and vector calculus — built with full derivations and worked examples.

📚 15 lessons⏱ ~2 hours∑ Server-rendered mathematics

All-access membership — $29/mo

Unlocks this and every other course.

What you'll learn

  • Differentiate fluently and build Taylor approximations (the basis of delta–gamma)
  • Integrate by substitution, parts, and partial fractions, and normalize probability densities
  • Work with gradients and the Hessian, and solve constrained problems with Lagrange multipliers
  • Evaluate multiple integrals with the Jacobian for joint densities
  • Apply the divergence and Stokes theorems that underpin PDE theory

Use the outline on the left to navigate — or press ⌘K to jump to any lesson.