Multivariable Calculus is a college-level course that follows Advanced Placement Calculus BC. The course emphasizes a thorough study of vectors, surfaces in space, vector-valued functions, functions of several variables, multiple integrations, and vector analysis. Students will become proficient at vector operations including the dot product and cross product and their applications, rectangular coordinates, cylindrical coordinates, and spherical coordinates. Students will learn operations and applications of vector-valued functions including differentiation, integration, velocity, acceleration, tangent vectors, and normal vectors. Realizing that many real-life quantities are functions of two more variables, students will understand the following implementations of functions of several variables: limits, continuity, derivatives, and integration. The goal is to learn, understand, and be able to work with the main ideas of multivariable calculus. Students should not only be able to work through problems similar to the ones seen in the homework, but should also have the ability to go beyond, presenting their knowledge in a clear and coherent manner in problem sets related to each section. A graphing calculator is required for this course. Students will receive AP weight added to their GPA. Prerequisite: AP Calculus BC