Complex numbers have both a real part and an imaginary one, preceded when writing by the symbol used to represent the square root of minus one. In conventional mathematical text this is written as the letter "i" - as it is in these exercises. Students should, however be made aware that when this crops up in engineering calculations, the letter "j" is used instead, primarily to avoid confusion with the use of "i" to indicate electric current.

This document describes and acts as index for the complex number arithmetic exercises on this site. The general grouping of exercises follows those of the other arithmetic exercise groups - adding, however, three special categories as an introduction to more advanced mathematical topics.

The individual groups discussed below also consist of ten separate exercises each containing 20 individual examples -

• Terms - exercises involving only the addition and subtraction of complex numbers - NOT YET AVAILABLE!
• Factors - exercises involving only the multiplication and division of complex numbers - NOT YET AVAILABLE!
• Expressions - exercises involving all four types of arithmetic operator in combination - NOT YET AVAILABLE!
• Coordinates - introduction of complex numbers as the coordinates of points on the complex/real number plane - NOT YET AVAILABLE!
• Conjugates - an introduction to the topic of complex conjugate pairs - NOT YET AVAILABLE!
• Angles - polar coordinates and simple trigonometric functions - NOT YET AVAILABLE!
• Hyperbolic Functions - the complex number equivalent of trigonometric functions - NOT YET AVAILABLE!