The Coursera course is "machine learning", which is a more general terms, while this course (based on the description) is "deep learning", which is more specific - the ML course ends with Neural Networks, while this one starts with them.

I'd start with the Coursera one, if only to learn when _not_ to use a neural network and use something simpler. But if you already know how to cluster data with K-means, what a linear classifier is, and/or what an SVM is, then you can probably skip the ML one.