Some natural intelligence would come in quite handy here if it could take you to www.google.com won't it ?

I am not sure about this, but does PERT/CPM fall under discrete maths ?
If yes these are used in project scheduling and management and hence in the s/w made for such systems.

I guess she wants it to be broad. She doesn't want her question to be specific for any langauge.

But thats improper use rather than the language fault. Also are you a C guy. Nowadays many Java loyals are turning to Python, they seem to be of the same opinion. I know this might seem off-topic,...

how about a project to convert not so good written language to a very good one (that corrects grammar as well and adds if there is none) ;-)

you ask for challenging projects when you are not even ready to accept the challenge of brewing an idea in your head for the same. Tell me frankly, is it so difficult ?