This book shows hundreds of guided problems, with very detailed explanation on how to go about finding the right argument. This is the second of a 3-book project, the first book being already published (Calculus Problems, UNITEXT 101). The style, therefore, follows closely that of the aforementioned volume, with improvements in the graphic packaging, due to updating of the used software and the inclusion of further graphical packages.  Each chapter contains a summary of the relevant definitions and theorems, a section with worked problems and a section on suggested exercises with solutions. This second book includes an elementary but thorough introduction to basic topology of Euclidean spaces and then focusses on of functions of several variables and on multiple integrals, sequences and series of functions. It is addressed to UG students based both in EU and USA.