نقاط المكافآت
اكسب نقاطًا من خلال تفاعلك مع المُدرس أثناء الحصة وإجابتك عن الأسئلة، واستخدمها لاحقًا للحصول على خصم عند شراء حصص أخرى.
Lesson Plan: Möbius Transformations Mathematics
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to interpret Möbius transformations in the complex plane.
Objectives
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.
Prerequisites
Students should already be familiar with
- complex numbers and polar and Cartesian forms,
- the complex plane,
- linear transformations.
Exclusions
Students will not cover
- modular forms,
- the Langlands program.
