Section 8.5 A Unified Perspective
We've seen a lot of big theorems. Fundamental theorem of Calculus back in Calc 1. Fundamental Theorem of Line Integrals. Green's Theorem, both Circulation and Divergence Forms. Stokes' Theorem. Divergence Theorem. While each is different and has its own place, they are all based on the same unifying principles.
Learning Objectives:
Describe the connections between the major theorems of Vector Calculus
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When we first learned about differentiation and integration we saw how they were connected by the fundamental theorem of calculus. As we have rapidly expanded our understanding of the types of differentiation and the types of integration in more general contexts, there has remained a relationship between them. So super big picture, how would you describe the relationship between differentiation and integration?
