Unformatted text preview: 3. Line integrals of vector ﬁelds (end of section 14.2) and applications. 4. Line integrals of conservative vector ﬁelds, independence of the path. Criterion for a vector ﬁeld to be conservative. Fundamental Theorem for line integrals. All these are must (in particular ﬁnding a potential of a given conservative vector ﬁeld). 5. Green’s Theorem and applications (this is an absolute must ). 6. Diﬀerential operators over vector ﬁelds, curl , grad , and div , and their properties. 7. Parametric surfaces and their area. 8. Surface integrals of scalar functions. Surface integrals of vector ﬁelds ( a must !) 9. Surface integrals of vector ﬁelds and application (an absolute must ). 10. Stokes’ Theorem and applications a must . 11. The Divergence Theorem (section 14.9) 12. Good luck...
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 Spring '08
 Skrypka
 Math, Vector field

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