MA005: Calculus I

Just as the set–up of each of the two basic problems involved a limiting process, the solutions to the two problems are also related.  The process of differentiation for solving the tangent line problem and the process of integration for solving the area problem turn out to be "opposites" of each other:  each process undoes the effect of the other process. 

The Fundamental Theorem of Calculus in Chapter 4 will show how this "opposite" effect works.