Mathematical methods based on the use of the Laplace transform are a standard component of undergraduate education. Real world problems however often yield Laplace space solutions which are too complex to be analytically inverted to expressions in physically meaningful variables. A robust numerical inversion approach is thus desirable. In this talk, I present one of the approaches to compute an approximate inverse, the Weeks method. I will also discuss the difficulties in performing numerical inversion. Finally, I will show how we have been able to utilize Jacket from AccelerEyes in MATLAB to more efficiently and robustly implement the Weeks method.