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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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Linear Functions

Text

Calculus is the study of functions. In the study of functions of one variable, we encounter domains and ranges of functions, function graphs, and properties of functions such as continuity. In multivariable calculus we will extend all of these notions to functions of two and eventually more variables. We will also deal with functions of one variable associated with functions of a single variable, namely slice curves and contour lines.