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VECTOR%20CALCULUS

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VECTOR CALCULUS VECTOR CALCULUS The main results of this chapter are all higher-dimensional versions of the Fundamental Theorem of Calculus ... Document presentation ... – PowerPoint PPT presentation

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Title: VECTOR%20CALCULUS


1
17
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
VECTOR CALCULUS
17.10 Summary
In this section, we will Summarize the key
theorems learned in this chapter.
4
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
GREENS THEOREM

8
STOKES THEOREM

9
DIVERGENCE THEOREM
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