Unformatted text preview: must ). Partial derivatives, chain rule. Directional derivatives and gradient vectors. 5. Local extrema of functions of 2 variable. Critical point, saddle point. Absolute minimum and maximum values. Method of Lagrange multipliers for minimizing or maximizing a function subject to constraints (this whole part is an absolute must ). 6. Double integrals over rectangle, iterated integrals, Fubini’s theorem. Triple (volume) integrals. 7. Vector ﬁelds in 3D, conservative vector ﬁelds, line integrals of functions (of two and three variables) and application and line integrals of vector ﬁelds (a must ). 8. Surface area and surface integrals of functions. Surface integrals of vector ﬁelds (a must ). 9. Diﬀerential operators over vector ﬁelds, curl , grad , and div , and their properties. 10. Green’s Theorem and applications (this is an absolute must ). 11. Stokes’ Theorem and applications ( a must ). 12. Divergence Theorem ( must ). 13. Good luck....
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 Spring '08
 Skrypka
 Math, Derivative, Multivariable Calculus, Vector Calculus, Basic Applications

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