Chapters 1-5 of this book contain all the material normally included in a third semester multivariable calculus course. Chapters 6-10 cover such topics as Fourier series, Green's and Stokes's Theorems, and the implicit function theorem. The authors have made their treatment of the topics in the second half of the book as independent of each other as possible, giving the instructor a high degree of flexibility in structuring the course. This part of the book provides the topics for a thorough introduction to advanced calculus. A brief chapter on linear algebra is included in the Appendix.