# 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-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!