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Hyperboloid of one/two sheets and cone
Transitions of quadric surfaces
Level curves of \(f(x,y) = \dfrac{1}{\sqrt{1-x^2-y^2}}\)
Level surfaces of \(f(x,y,z) = x^2+y^2-z^2\)
A function that has no limit at (0,0) but the limit exists along all traces through (0,0)
A function that is non-differentiable at (0,0) but all traces through (0,0) are differentiable
Directional derivative and the gradient vector
Critical Points of a differential function
Absolute maxima and minima on a closed and bounded region
Absolute extrema of a function on a constraint set (2 variables)
Absolute extrema of a function on a constraint set (3 variables)
Absolute extrema of a function with two constraints
Integration limits of a triple integral
By Joseph Lo, CWSEI, Department of Mathematics, University of British Columbia