Calc & Analyt Geom IV (HONORS)
Calc & Analyt Geom IV (HONORS) MATH 2443
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This 1 page Class Notes was uploaded by Mason Larson DDS on Monday October 26, 2015. The Class Notes belongs to MATH 2443 at University of Oklahoma taught by Noel Brady in Fall. Since its upload, it has received 7 views. For similar materials see /class/229291/math-2443-university-of-oklahoma in Mathematics (M) at University of Oklahoma.
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Date Created: 10/26/15
Math 2443002 Conservative Vector Fields F P Q where P and Q have continuous rst partial derivatives on a domain D in R2 and on all of D Spring 2000 reen s Thm simply connected D F P Q R where P Q and B have continuous rst partial derivatives on a domain D in R3 and 131va PZRm7 Q2Ry on all of D Set P fw etc and just compute Stokes7 Thm eg D R3 C F dr 0 for every closed path in C F dr is independent of the path C between two points of D 1 Pick a basepoint 11 Use 0 F dr in order The Fundamental Theorem to de ne a function f 111 Verify that Vf F implies that fc F411quot f1quotb 7 KW F is conservative means F Vf where f is some function de ned on D
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