MATH UN1102 Lecture Notes - Lecture 41: Polygonal Chain, National Order Of Quebec, Wangan Midnight

• School: Columbia University
• Department: Mathematics
• Course: MATH UN1102
• Professor: Nathan Dowlin

Document Summary

" - xy ) dx t ly - 21dg where c is the polygonal path from 12101 to ( 0,01 to 12 , it to 10111. Xy ) dx t ly - holy. Theorem doesnt apply for entire thing but does when split. =/ x " dx t ly - ll dy + conservative fo - y dy. = ( xyz t yah - zyllciiii "t ti - it " uld x to " C , :( it , t : et el. Cz : ( z - t l ) o et e 2. D is a region in the plane. Db is a closed curve forming the boundary of d. Fix , y ) = ( pix , y ) vector field . , q ix , y ) ) is a continuously differentiable. Sufficient to show the two identities fo pdx = hb - dy p da fo q dy -