Functions of Many Variables
a surface
with its traces, and the resulting
level curves
(courtesy of Professor John Putz, Alma College)
same surface as above
the same surface, but you can rotate it
the level surfaces
of a quadratic function of *three* variables
(courtesy of Professor John Putz, Alma College)
a graph where the limit at (0,0) exists
graph of sin(x
2
+y
2
)/(x
2
+y
2
)
a graph where the limit at (0,0) does not exist
graph of 2xy/(x
2
+y
2
)
