Learning Outcome 1: Functions of Several Variables

Understand single-valued functions of two or three variables and their analytical, tabular and graphical representations.

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Performance Criteria:
  1. Graph circles, ellipses and hyperbolas centered at the origin. Graph parabolas with equations of the form   y = ax2 + b.
  2. Evaluate functions of two and three variables given in equation, contour graph or table form. Create a table of values from an equation for a function of two variables.
  3. Give the trace of a function of two variables at a given   x   or   y   value as an equation or graph. Match the equation of a function of two variables with its surface graph.
  4. Graph level curves of a function of two variables, match the equation of a function of two variables with its contour graph.
  5. Sketch approximate graphs of traces of functions of two variables from contour graphs or surface graphs. Match surface graphs with contour graphs.
  6. Determine whether a function is increasing, or decreasing, in either the   x   or   y   direction, from a surface graph or contour graph.
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