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

Over to the Exercises!