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:
- Graph circles, ellipses and hyperbolas centered at the origin. Graph parabolas with equations of the form y = ax2 + b.
- 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.
- 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.
- Graph level curves of a function of two variables, match the equation of a function of two variables with its contour graph.
- Sketch approximate graphs of traces of functions of two variables from contour graphs or surface graphs. Match surface graphs with contour graphs.
- 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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