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

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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  1. Mat-FMarch 14, 2005Line-, surface-, and volume-integrals 11.1-11.9 Åke Nordlund Niels Obers, Sigfus Johnsen Kristoffer Hauskov Andersen Peter Browne Rønne

  2. 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

  3. 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

  4. Chapter 11Black board examples • Surface & volume integrals • Gauss’ theorem (divergence) • Exercises 11.23, 11.26

  5. Chapter 11Black board examples • Surface & volume integrals • Gauss’ theorem (divergence) • Exercises 11.23, 11.26 • Line & surface integrals • Stokes’ theorem (curl) • Exercise 11.28

  6. End of lecture! Over to the Exercises!

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