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Mat-F March 14, 2005 Line-, surface-, and volume-integrals 11.1-11.9 PowerPoint PPT Presentation


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Mat-F March 14, 2005 Line-, surface-, and volume-integrals 11.1-11.9. Åke Nordlund Niels Obers, Sigfus Johnsen Kristoffer Hauskov Andersen Peter Browne Rønne. News on the web. Examination information Course summary – key points Example examination sets (2) Examination hints

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Mat-F March 14, 2005 Line-, surface-, and volume-integrals 11.1-11.9

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Mat f march 14 2005 line surface and volume integrals 11 1 11 9 l.jpg

Mat-FMarch 14, 2005Line-, surface-, and volume-integrals 11.1-11.9

Åke Nordlund

Niels Obers, Sigfus Johnsen

Kristoffer Hauskov Andersen

Peter Browne Rønne


News on the web l.jpg

News on the web

  • Examination information

    • Course summary – key points

    • Example examination sets (2)

    • Examination hints

    • Question hours (April 11)

    • List of names – OK for examination

      • check that you’re on it!

      • if you’re not: turn in assignments + contact teacher


11 line surface and volume integrals l.jpg

11: Line-, surface-, and volume-integrals

  • Why?

    • Because most laws of physics need these

      • conservation laws

      • electrodynamics …

  • How?

    • Three gentlemen’s theorems

      • Green, Gauss, Stokes

      • Examples on the black board

        • spherical, cylindrical, square


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Chapter 11Black board examples

  • Surface & volume integrals

    • Gauss’ theorem (divergence)

      • Exercises 11.23, 11.26


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Chapter 11Black board examples

  • Surface & volume integrals

    • Gauss’ theorem (divergence)

      • Exercises 11.23, 11.26

  • Line & surface integrals

    • Stokes’ theorem (curl)

      • Exercise 11.28


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End of lecture!

Over to the Exercises!


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