1 / 9

VECTOR CALCULUS

16. VECTOR CALCULUS. 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.

daisy
Télécharger la présentation

VECTOR CALCULUS

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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. VECTOR CALCULUS 16.10 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 boundaryof the region.

  5. FTC

  6. FT FOR LINE INTEGRALS

  7. GREEN’S THEOREM

  8. STOKES’ THEOREM

  9. DIVERGENCE THEOREM

More Related