+1 for Information Theory, Inference, and Learning Algorithms. A fantastic book by the late David C Mackay. Part V has an interesting presentation of neural networks, but really this book is about information theory and Bayesian probability.
Really good idea. One of the things that I found lacking (in retrospect, now that you mention it) in Coursera when I used it was that study groups weren't an official feature. I'm sure people made them unofficially in the forum, but it wasn't an official part of Coursera. I think it would really elevate MOOCs to another level if you could have face-to-face Skype-like study groups with other students during assignments.
How do I team up with you? I am familiar with R and Python as well. I haven't officially done a Linear Algebra class but I understand matrix operations well.
http://www.inference.phy.cam.ac.uk/itila/