Labware - MA35 Multivariable Calculus - Two Variable Calculus

Labware - MA35 Multivariable Calculus - Two Variable Calculus

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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Level Sets & Contour Lines (Page: 1 | 2 | 3 )

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EXAMPLE: TWIN PEAKS CONTOUR MAP

Demos

Twin Peaks Countour Map

This demo shows a level set consisting of level curves f(x,y) = c for the Twin Peaks function f(x,y) = 3(-x⁴ + x² - y²). A contour map is drawn in the window labeled "Domain: f(x,y)". The third window, labeled "Level Curves", allows you to choose a level curve f(x,y) = h by dragging the hotspot along the z-axis. The value of the constant h is shown in the control panel.