Lesson: Möbius Transformations Mathematics

Students will be able to

• interpret Möbius transformations geometrically,
• work with Möbius transformations algebraically,
• calculate compositions of Möbius transformations,
• calculate images of subsets of the complex plane under Möbius transformations,
• work with Möbius transformations in polar and Cartesian coordinates,
• identify a Möbius transformation, given its action on three points.