Advanced university

Level 8: Applied Mathematics Track

Numerical analysis, optimization, modeling, PDEs

This level is part of a complete math learning path that spans from foundations to research topics. Start with the first skills and move forward when you feel confident.

Tap a skill to open focused practice.

Core skills in this level

Core skills in this level

Root finding algorithms

Numerical integration

Numerical solutions to ODEs/PDEs

Error analysis

Finite element methods

Linear programming

Convex optimization

Nonlinear optimization

Dynamic programming

Calculus of variations

Continuous models

Discrete models

Stochastic models

Simulation techniques

Heat equation

Wave equation

Laplace's equation

Fourier analysis

Finite difference methods