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
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
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Course summary
what’s most important
Trial examination examples
so far two sets
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
Derivations on the black board
Chapter 11 Overview
Line integrals
Green’s theorem in a plane
Conservative fields & potentials
Surface & volume integrals
Gauss’ theorem (divergence)
Stokes’ theorem (curl)
Integral form of grad, div, and curl
Revisit (cf. last week’s lecture)
Chapter 11 Black Board
Line integrals (11.1-11.4)
Green’s theorem in a plane
Conservative fields & potentials
Surface & volume integrals
Gauss’ theorem (divergence)
Stokes’ theorem (curl)
Integral form of grad, div, and curl
Revisit (cf. last week’s lecture)
Chapter 11 Black Board
Line integrals
Green’s theorem in a plane
Conservative fields & potentials
Surface & volume integrals (11.5-11.9)
Gauss’ theorem (divergence)
Stokes’ theorem (curl)
Integral form of grad, div, and curl
Revisit (cf. last week’s lecture)
Chapter 11 Black Board
Line integrals
Green’s theorem in a plane
Conservative fields & potentials
Surface & volume integrals
Gauss’ theorem (divergence)
Stokes’ theorem (curl)
Integral form of grad, div, and curl (11.7)
Revisit (cf. last week’s lecture)
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