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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

2.1 Functions of Two Variables

2.1.1 Introduction

2.1.2 Linear Functions

2.1.3 Domain, Range & Function Graphs

2.1.4 Slice Curves

2.1.5 Level Sets & Contour Lines

2.1.6 Continuity

2.1.7 Normal Vectors for Linear Function Graphs

2.2 Differentiation

2.3 More Derivatives

2.4 Integration

2.5 Vector Analysis

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Slice Curves (Page: 1 | 2 | 3 | 4 | 5 | 6 )

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We can slice a parametric surface (x(u,v), y(u,v), z(u,v)) by setting u or v equal to a constant. If we set u equal to a constant u₀ we get the slice curve (x(u₀,v), y(u₀,v), z(u₀,v)). Likewise, If we set v equal to a constant v₀ we get the slice curve (x(u,v₀), y(u,v₀), z(u,v₀))

Demos

Slices of Parametric Surfaces
	This demo shows the slices of the surface (x(u,v), y(u,v), z(u,v)) given by u = u0 and v = v0. You can change u0 and v0 to see different slices. You can also change the coordinate functions to investigate a different surfaces.