In Calculus II the study of calculus turns its attention to a rigorous basis for exponential and logarithmic functions followed by integration techniques that greatly extend the possible functions that can be easily (?) integrated. The study of series is a critical one with a basis in the linearization of functions first encountered in Calculus I.

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.

	I'm very good at integral and differential calculus,    I know the scientific names of beings animalculous; In short, in matters vegetable, animal, and mineral,    I am the very model of a modern Major-General.
	W. S. Gilbert, The Pirates of Penzance. Act I