### Introduction

In this Section we examine some of the standard functions of the calculus applied to functions of a complex variable. Note the similarities to and differences from their equivalents in real variable calculus.

#### Prerequisites

- understand the concept of a function of a complex variable and its derivative
- be familiar with the Cauchy-Riemann equations

#### Learning Outcomes

- apply the standard functions of a complex variable discussed in this Section

#### Contents

1 Standard functions of a complex variable1.1 The exponential function

1.2 Trigonometric functions

1.3 Hyperbolic functions

1.4 Logarithmic function