ummm said:
1) If, at the time of the big bang, the entire universe was in, say, maybe a little ball, maybe the size of a baseball, or golf ball, or smaller like a grape or my brain (okay nothing's that small), then what was outside that little ball? What did the parts or gas or whatever, that was in the little ball of universe, expand into? Whatever it expanded into, obviously had to be outside the little ball of universe.
THAT QUESTION IS
VERBOTEN!
No no sorry, silly joke, of course you have the right to ask, and I actually 'struggled' with exactly the same question for years, and got several times the same 'reaction' as in my first sentence.
First hint you will find in Chronos comment, just before your post. That’s the short version.
The longer version is that we just don’t know...

i.e. we don’t know if the universe is finite or infinite!
If the universe is infinite, your question becomes 'invalid', because it just goes on and on and on and on and… etc for all eternity. If you would like to make a 'picture'; imagine a computer that just adds a (random) number at the end of a (already) very large number:
382211534546249571707506749878740794978813573152867305453507764320658956233792005229311772993057049548155758228845860778017611126014402141...
There’s (AFAIK) no law stating that the computer ever will run out of a 'new' number to add.
If the universe is finite, the simple answer is related to Chronos comment, the universe we live in and do science and physics in – is all there is to 'investigate'. I.e. our mathematics describes the natural laws
inside our universe, and does not say anything about what’s 'outside'. Furthermore, science is about making testable predictions, which can be verified or refuted by physical experiments (
you never get a Nobel without experiments, ask Stephen Hawking). It’s tuff to go 'outside the universe' to make any experiment... If you wish to penetrate the 'outside business', you end up with 'supernatural things'. This is not what physics and cosmology is about.
However, to complicate this just a little bit – this last claim of mine is not entirely true...
There are very bright scientists, like Max Tegmark, who indeed speculate about multiverse, i.e. a lot of parallel universes (that are separated). Don’t ask me how Tegmark could ever verify this experimentally. Also in String theory there are 'mathematical investigations' dealing with the possibilities of "Branes" and larger extra dimensions. We are however forever "locked in" in our 3D world, our "Brane".
(Hope I didn’t make things worse...
)
ummm said:
2) Since I'm not a physics phD, I'm still laboring with the notion that nothing is faster than the speed of light. If that is true, how can the universe be expanding faster than that?
Thanks for any answers.
This question is even better! And
this almost drove me crazy (

) before I found the simple answer:
There is NO speed limit for the expansion of the universe; however every object moving inside the universe is always limited to the speed of light.
You can read more about it here: http://www.fnal.gov/pub/ferminews/ferminews00-05-12/p5.html" .
P.S. Welcom to PF ummm!