Review of a function of two variables (continued)

 Objectives:

1) Review level curves and contour maps

2) Limit and continuity

Level curves and contour map

Given a function f(x,y) and a number c of its range, a level curve of the function with two variables f(x, y) for the value c is the set of points that satisfy the equation f(x, y) = c. A graph of the various level curves of a function with two variables is called a contour map.

Review the corresponding posts:

Level curves

Level curves. Making a contour map (continued)

Limit and Continuity of a function of two variables

Review the following post:

Limit of a function of two variables

Limit of a function of two variables at a boundary point

Continuity of a function of two variables

Operations on the continuity of a function of two variables