To put it simply your epistemology is your theory of knowledge, i.e. how you know what you know. So what does this have to do with the Christian faith and life, I hear you asking? Well, I think it plays a vital role in our lives; how we understand the universe. In our modern age of empirical materialism we tend not to try and investigate the framework upon which we understand our everyday experiences in life. Your theory of knowledge undergirds how you make sense of the universe (or the metaphysical realm). Let me give you some quick examples of poor theories of knowledge:

1. Within the Hindu theory of knowledge all is maya. In other words all is illusion. And eventually we wake up out of the illusion to realise that we are actually one with god, we are god. Now if we take this theory of knowledge (all is illusion) and apply it to our experiences of life what do we find? Well, if all is illusion then your wallet is mine and I can help myself to the contents! Stop and think about it, if all is illusion why would anyone pay for their shopping? And ultimately how does a Hindu actually know that their theory of all being an illusion isn't an illusion itself? This seems to be an absurd way to look at reality!
    
2. On the other hand, the atheist believes there is no god and all that exists is the material realm (i.e. things that you can touch, smell, see etc). Therefore, you cannot prove anything unless it can be done empirically (i.e. by observation). So, let us ask how does an atheist explain logic? Have you ever seen, felt, smelt, etc the laws of logic? I hope you agree that you can't. These types of universal laws are not in the material realm. Does this mean they simply do not exist because we can't prove them empirically? Absolutely not, I can assure you that one of the major tools that atheists use to attack Christianity is logic itself. So even though the atheistic theory of knowledge assumes that we are all a collection random molecules colliding and moving through space, atheists employ universal principles such as the laws of logic whenever they please. If we are simply random molecules then why are the laws of logic always constant (i.e. universal)? Why do they not change? Or to be even more simplistic, why does an atheist believe in the principle of deduction? If all things are random particles why do atheist scientists conduct experiments upon the understanding that mixing chemicals in certain proportions will always produce a certain outcome? Why does hydrogen and oxygen mixed molecularly correctly always constitute H₂0? Why don't we get chloride sometimes, blood other times and water occasionally? Well, because of the uniformity of the universe. Everyone believes this and then uses principles of deduction to experiment! But this does not make sense if all we are is random molecules!