Chebfun . Powerful approach to solving functional equations
Tomlab. Commerical matlab optimizer framework that has allows me to solve complicated problems. I typically use NPSOL and Knitro with auto-differentiation using MAD.
BasisMatrices Basis matrices for orthogonal polynomials, collocation, etc.
For those trying to decide the right time to start Julia, consider watching github to see how radically it is going to change, and important breaking changes.