The study of series is a critical one with a basis in the linearization of functions first encountered in Calculus I. Finally, the semester ends with a study of conic sections and polar coordinates. (Polar coordinates are cool!)

With Calculus III the attention is shifted to really beautiful concepts and techniques involving three-dimensional space, vectors, and multiple integrals! Many of the techniques to compute areas or volumes that were first studied in Calculus I become unified by using multiple integrals. The calculus of vector functions is the foundation for the study of gravitational and electromagnetic fields in physics.