i am having presentation on "surface and line integral" tomorrow but have never been taught before i read it at wiki but its difficult to understand now need help in understanding it thanks
the theme is parameterization of the surface or area you are integrating over
the theme is paramterization of the surface or line you are integrating on, and subbing that into the x,y, and z in the integral. Not really a topic I can teach well in a few minutes, so here's what I consider a good starting point http://tutorial.math.lamar.edu/Classes/CalcIII/CalcIII.aspx
its line integral and surface both but problem is parameterization be x(s, t), what are these x s and t and secondly the derivatives in formula i am not understanding it because its completely new topic to me
s and t are the new variables that the surface will be represented with. what s and t actually are depends on the coordinates you are using. if you don't know what a partial derivative is, which is what it sounds like, then you have a lot to learn before you can do surface integrals effectively. you should perhaps start from the beginning: http://tutorial.math.lamar.edu/Classes/CalcIII/CalcIII.aspx
brother i know derivates and integration infact multiple integration as well but normally we are taught only how to solve questions with formula but here the problem is i have to relate my formula with diagram too, which is bothering me and secondly how does it come like that way i am looking at the books that you mention and thanks for youi time brother
here, look at examples 1 and 2 to see all the possibilities of what the two variables for the parametric surface could be: http://tutorial.math.lamar.edu/Classes/CalcIII/ParametricSurfaces.aspx you can see sometimes they are r and theta, sometimes two cartesian variables like x and y, or theta and phi for spherical coordinates, etc. hope that helps a little, good luck!
thanks
that should say "some of the possibilities", not all welcome
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