This is a graduate level course being offered at Indiana University by the Math Department. I took this course on Fall 2013 with Prof. Alberto Torchinsky. The book we used was Principles of Mathematical Analysis (International Series in Pure and Applied Mathematics) (International Series in Pure & Applied Mathematics) by Rudin. All assignments are from this book. I do not like this book very much and instead prefer other like: Elementary Analysis: The Theory of Calculus by Ross and The Way of Analysis, Revised Edition (Jones and Bartlett Books in Mathematics) by Strichartz. The following is a compilation of my solutions to assignments given in class.