This fast-paced multivariable calculus course will prepare students for more in-depth study by imparting to them an understanding of the tools and methods of vector calculus involving more than one variable. Topics include: vectors, dot products, cross products, alternate coordinate systems, partial differentiation, applications of the derivative, LaGrange multipliers, multiple integrals, vector fields, line integrals, flux, and curl. While a graphing calculator such as a TI-83 or TI-89 can sometimes be helpful, the course will be taught mostly without the aid of these devices, as to ensure that the student has a full understanding of the topics without a reliance on a calculator. The textbook that we will be using for the course will be Calculus, 5th ed., by James Stewart, which can be purchased from online retailers such as Amazon.com.
NOTE: Students must have already completed a single-variable calculus course, such as AP Calculus BC or equivalent.