This course will cover some topics that are not part of the AP Calculus BC curriculum such as hyperbolic functions, centers of mass and centroids, among others. We will also explore topics that are studied in Multivariable Calculus, Differential Equations and Linear Algebra. Some of the Multivariable topics include vectors and vector valued functions, differentiation in several variables, optimization in several variables, multiple integration, and line and surface integrals. In addition, Differential Equations topics will include solving first order and simple higher order equations with applications to various scientific fields, laws of planetary motion, fundamental theorems of vector analysis, solving linear differential equations and their applications, and Laplace transform methods. Finally, some of the Linear Algebra concepts covered will be vectors spaces, linear transformations, matrices, systems of linear equations and determinants. A student who is qualified for this course should be prepared for independent study.