A manual written to accompany the multivariable chapters of the fourth edition of James Stewart's Calculus, focusing on the use of Mathematica as a tool for exploring the way calculus works and how calculus solves problems. Coverage includes vectors, multiple integrals, and Mathematica basics. A final chapter contains 21 extended project exercises. Learning features include warning and tip icons, boxes on Mathematica commands, references to the main text, and within-chapter exercises.