Partial Differential Equations · Calculus
Separation of Variables and Sturm-Liouville Theory
Separation of variables splits a PDE into ODEs whose eigenfunctions — Legendre polynomials, Bessel functions — form orthogonal bases for function expansion.
WHAT STUDENTS WILL LEARN
✓Apply separation of variables to reduce PDEs to ODEs
✓Solve Sturm-Liouville eigenvalue problems
✓Expand in eigenfunctions
✓Understand orthogonality and completeness
COURSE OUTLINE · CLICK A PART FOR RESOURCES