A few days ago I was asked by the director of the Center for Undergraduate Research and Scholarship at Georgia Regents University (formerly known as MCG and Augusta State) to contribute an article for the new Faculty Handbook: Mentoring Undergraduates in Research and Scholarship which is to be written along the lines of the University of Alaska Anchorage Handook. In my short time at Georgia Regents University I was indeed one of the first mathematicians who engaged in "Undergraduate Research" in part due to the nature of my subject Dynamical Systems and easiness with which one can do some very law quality numerical experiments. However, I think that I am far a way from the point that I can give any meaningful advise to anybody else. I hastily authored this short document more or less written for myself while applying to UN Lincoln IMMERSE program which fully exposes my lack of competence to contribute above article. To make matters worse despite 30 contributing articles to the University of Alaska Anchorage Faculty Handbook not a single one was written by a mathematician. Could you please share your knowledge, resources, and experience and help me write couple meaningful pages? The good news is that the document is due in June.