1. 16
VECTOR CALCULUS

2. VECTOR CALCULUS
The main results of this chapter are all higher-dimensional versions of the Fundamental Theorem of Calculus (FTC).
To help you remember them, we collect them here (without hypotheses) so that you can see more easily their essential similarity.

3. 16.10 Summary In this section, we will: Summarize the key theorems
VECTOR CALCULUS
16.10
Summary
In this section, we will:
Summarize the key theorems
learned in this chapter.

4. In each case, notice that:
SUMMARY
In each case, notice that:
On the left side, we have an integral of a “derivative” over a region.
The right side involves the values of the original function only on the boundary of the region.

5. FTC

6. FT FOR LINE INTEGRALS

7. GREEN’S THEOREM

8. STOKES’ THEOREM

9. DIVERGENCE THEOREM