Noncommutative probability for computer scientists

I will give an introduction to computational techniques in noncommutative probability for people (like myself) that are less interested in the details of the theory and more interested using results in the theory to help understand the behavior of things related to random matrices (asymptotically as the size of the matrices get large). This will include introducing the concept of free independence and seeing how it compares to classical independence. No prior knowledge will be assumed.