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...Multivariable calculus with applications to the life sciences lecture notes adolfo j rumbos c draft date april contents preface introductory examples modeling spread of a disease preliminary analysis simple sir model apredator prey system parametrized curves in plane dierentiable paths vector fields flow field real valued functions two variables graph sections and lever sets contour plots surfaces three dimensions linear denition function graphs planes space vectors dot product norm dierentiability partial derivatives chain rule directional gradient tangent surface approximations dierential matrices matrix algebra properties products invertible dimensional eigenvalues eigenvectors line solutions...