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MA35 Labs

1 Single Variable Calculus

2 Two Variable Calculus

3 Three Variable Calculus

Polar Coordinate Labs

» Two Variable Functions

Contents

.1 Crater Lakes

.2 Twin Peaks

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Crater Lakes

Text

Cartesian coordinates: f(x,y) = -(x² + y²)² + 2(x² + y²) + cx

Polar coordinates: f[r,θ] = -r⁴ + 2r² + crcos(θ)

Demos

Crater Lakes Contours
	This demo shows the contour levels for the crater lakes function f(x,y)= -(x2+y2)2+2(x2+y2)+ax.