The composition of functions of more than one variable, functions as arguments, ParametricPlot3D, restrictions on functions. Lab 1a: Functions, Graphs, and Integrals - Part a.Optimization and constrained optimization. Functions of 2 variables, cylindrical and spherical coordinates, and limits. Lab 1: Curves, Surfaces, and OptimizationĬurves and curvature.Surfaces in spherical and cylindrical coordinates. ( Mathematica notebook)Ĭurves and curvature. Mathematica's built-in non-Cartesian coordinate systems and how to visualize them. Using a change of coordinates to evaluate integrals over difficult regions of integration.
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