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. Lab 2a: Non-Cartesian Coordinate Systems - Part a. ( Mathematica notebook - 3.4 megabyte file) Using Mathematica to help you visualize and compute double and triple integrals. Lab 1: Functions, Graphs, and Integrals. They may work in earlier versions, but I doubt it. The labs at the top of the list require version 6 (or higher) of Mathematica to work. This is a work "in progress", so I am open to suggestionsįor other topics, improvements on these labs, and corrections. I have also added some more general labs that others might find This is where my students can come to download the labs we will be doing
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