Available to: qualified students, see placement requirements link above
Multivariable Calculus is reserved for students who have completed AP Calculus BC. In colleges this course is commonly called Calculus III, and it expands the calculus concepts to multiple variables, and to multiple dimensions. The first part of the course introduces vector calculus basics such as the definition of a vector, its magnitude and direction, dot and cross products, and their geometrical interpretation. These concepts are then applied to 3-dimensional shapes, including lines, planes, and quadrics (ellipsoids, spheres, cones, paraboloids etc.). The second phase of the course focuses on calculus concepts with multiple variables to calculate arc length, surface area and volume by using line, double and triple integrals in Cartesian, polar, cylindrical and spherical coordinate systems. The course concludes by making connections to real-life problems such as Green’s, Divergence, and Stokes’ Theorems.