I am taking an introductory course in Analysis building up to Analysis I in the fall and II a year from now.  So far, I am beyond impressed with how this book handles series and sequences.  The author takes the time to provide a more geometric interpretation to the definition of sequence convergence that isn't found in other books.  I am not sure what most universities use for their two semester Analysis sequence, but I can say that, if you use Fitzpatrick's "Advanced Calculus", this book is the perfect companion.  I seriously helped me pull my head out of my rear end and start doing better in class.  Bottom line is that I highly recommend this book to anyone in need of a different viewpoint on material that can be difficult to digest.