Sal solves the problem x^3 = 1 for all of the real and complex roots using the exponential form of the complex number. He shows how the roots found in exponential form are the same as those in a more traditional form of a complex number...

This video gives an excellent overview of the different representations of a complex number. First, Sal reviews a pictorial representation of a complex number as an Argand diagram, then shows how to find the modulus and the argument of a...

The class practices plotting points in a Cartesian coordinate system and a Polar coordinate system. They convert from one system to the other to get coordinates to plot. Then they play a Tic-Tac-Toe or Connect Four game to have a...

The class has a brief review of polar and Cartesian coordinates. Then they get to play battleship and discover polar coordinates in more depth. They get a lot of practice converting from polar to Cartesian coordinate points and vice...

High schoolers participate in a role-play activity to determine how to replace heat shields on the space shuttle using polar coordinates.

Complex numbers have two parts and can be graphed on a complex plane. After an explanation of the complex plane, this video shows three examples of graphing complex numbers.

The class examines graphs in the form r = F(¿¿) in polar coordinates (r, ¿¿), in particular with the circle, ellipse and other conic sections. They determine the nature of an ellipse by studying the role of the semimajor axis and...

In this complex logarithm activity, students complete complex logarithm problems. They identify image and pre-image sets, indicate the location of the solution in a complex plane and give examples of integers with given parameters. ...

In this function worksheet, students evaluate problems involving functions, identify the domain and range of functions, and complete inversion mapping. This two-page worksheet contains approximately twelve problems.

In this complex plane worksheet, students describe definitions words relating to a complex plane and point sets. They give examples for each definition. This two page worksheet contains thirteen problems.

In this point set worksheet, students explore definitions describing planar point sets. They use the definitions to describe examples of point sets. This two-page worksheet contains four problems and 15 definitions.