Lesson 9: Continuity of Complex Functions

Preview

Today we’ll discuss continuity for complex functions. Exploring discontinuity will lead us to study “branch cuts” of “multivalued functions” (Module I). Then we’ll review some important results from real analysis that carry over to continuous complex functions (Module II).

Review

Learn

The lesson notes below contain a learning plan with three stages -- Learn, Reflect, and Practice -- and guidance for what to do within each stage. Some tips for you as you work through this resource, and those that it points to:

Lesson Notes

Lesson 9.pdf

Reflect

If you are currently enrolled in this course with me, submit the written reflections Google Form I have emailed you after working through the lesson notes and videos. Some tips:

If you are not currently enrolled in this course with me, those written reflections ask three reflective questions designed to help you retain what you've learned and pinpoint any remaining areas of confusion. Those questions are:

Practice

Work through the practice problems suggested below to see how much of this lesson you've understood.

Lesson 9 PP.pdf