cas<->home interchange

[Joe Horn]

The errors you are seeing is due to the fact that CAS allows undefined variables to be used for symbolic math manipulations, but Home does not. Therefore none of the Help system's examples for CAS functions which have undefined variables in their arguments (e.g. partfrac) will work in Home... and they should not be expected to.

There is an essential difference between Home and CAS; if they were the same, there would be no need for both to exist. Home is for real number crunching, like "What is a 12-digit approximation of the square root of 8?". CAS is for algebraic, symbolic, exact math, like "What is the exact square root of 8?" or "What does (x^2-1)/(x-1) simplify to?" Use the right tool for the right job. Don't use Home for symbolic math.

EDIT: Perhaps it would help if the Help system's built-in examples of CAS functions with undefined variable arguments included a warning: "Do not attempt this at Home."