This book is intended as a guide for students using the text, Calculus III by Jerrold Marsden and Alan Weinstein. It may be unique among such guides in that it was written by a student user of the text. For each section of the text, the guide contains a list of prerequisites, a review quiz (with answers), a list of study goals, some hints for study, solutions to the odd-numbered problems, and a quiz on the section (with answers). For each review section the guide includes solutions to the odd exercises and a chapter test with solutions.