The information typically covered in a third-semester multivariable calculus course is presented in this book within Chapters 1 through 5. The following chapters (Chapters 6-10) address various topics, including the Fourier series, Green’s and Stokes’ Theorems, and the implicit function theorem. The writers of the book have attempted to make their discussions of the topics covered in the second half of the text as independent of one another as is humanly possible. This gives the instructor a great deal of leeway in how the course is organized. This section of the book covers the material for an in-depth introduction to advanced calculus and provides the themes in that section. The appendix has a short chapter with some information on linear algebra.
