The Fine-Tuning Problem is interesting for a couple of reasons: First, it's ONLY a problem for the Secular Cosmologists' belief system, and Second, it's interesting to see how people think of the universe. Along the way, it points out how very unlikely (virtually impossible) the "Big Bang" would be to have happened. Since it is ONLY a problem for the Secular Cosmologists, we don't have to worry about defending against it; instead, it's our tool. It's good for us to be familiar with it so we can help them understand that the "Big Bang" just doesn't work. This, coupled with other arguments, can help them understand that Secular Cosmology is intellectually bankrupt.
More importantly, we can help them understand that there is an intellectually satisfying origins proposition that doesn't rely on blind faith: the creation as describe in Genesis.
To understand the Secular Cosmologists' Fine Tuning Problem, we have to be familiar with some certain bits of math, so the first part of this site will provide you with an overview of the necessary math topics.