MATH 2X03 Lecture 26: 2X03 Lecture 26

• School: McMaster University
• Department: Mathematics
• Course: MATH 2X03
• Professor: Dmitry Pelinovsky

Document Summary

E is c in bay , z ) curl (f) = j . Example : e ?y}] div ( f ) =2yz + Eye, curl h = y xstfg itdxy - xd - ilaxy. Z= 2xy t 2xy2= e ( xayajx she ( xaz ) x2 t. = ty ( x2y2) x example : e- heiebiied cjnferrative. ( y3z5+x ) = 3y2z5 = (3xy2z5+y2 ) st (y3z5+x) = 5y3z4 = (5xy3zt + z3 ) E = curl (e) div ( i ) = divl curl ) =o for another : 1133. Example : f= i ] , can e be written as a curl of another vector field. + sz ( ztxg ) sing - sing +1 = Effected ftp. t?ed=icxsinghtcosy)tkcxg)=ycyh=e curl kit = y curl ki ) Remark : since curl ( jf ) = j. = + jf for any arbitrary f : 1133 r then curl ( g curl (g) + curl ( ff ) = curl.