: Using numerical results to calculate spin-orbit interactions and absolute intensities in astrophysics.

You do not need an MIT ID to learn at MIT level. The institute has democratized its numerical analysis curriculum through .

Taught for decades by Professor Gilbert Strang—a name synonymous with linear algebra—18.085 is a masterpiece of applied mathematics. Unlike a traditional math course that begins with proofs, 18.085 begins with a problem: a differential equation that models heat flow, elasticity, or fluid dynamics.

Focuses on advanced numerical solutions for PDEs. Covers finite difference, finite element, and boundary element methods, alongside accelerated algorithms like the Fast Multipole Method (FMM).