Multivariable Calculus Lecture 1 (Part 3): Open and closed ball in R^n

This course takes calculus from the two dimensional world of single variable functions into the three dimensional world, and beyond, of multivariable functions. Students explore the following topics: vector geometry and the analytic geometry of lines, planes and surfaces; calculus of curves in two or three dimensions, including arc length and curvature; calculus of scalar-valued functions of several variables, including the gradient, directional derivatives and the Chain Rule; Lagrange multipliers and optimization problems; double integrals in rectangular and polar coordinates; triple integrals in rectangular, cylindrical and spherical coordinates; calculus of vector fields including line integrals, curl and divergence, fundamental theorem for line integrals and Green’s theorem. @RUeamHK0X6#

[faizahmed]

your teaching is awesome pleas tell me which book are you following closely for this course. i think the pages in you hand are of that book that you are following thanks

[afzalsoomro]

Hello sir . Which book should i follow for Multivariable calculus though linear algebra