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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 mini-mum and maximum values. Method of Lagrange multipliers for minimizing or maxi-mizing a function subject to constraints (this whole part is an absolute must ). 6. Double integrals over rectangle, iterated integrals, Fubinis theorem. Triple (volume) integrals. 7. Vector elds in 3-D, conservative vector elds, line integrals of functions (of two and three variables) and application and line integrals of vector elds (a must ). 8. Surface area and surface integrals of functions. Surface integrals of vector elds (a must ). 9. Dierential operators over vector elds, curl , grad , and div , and their properties. 10. Greens 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