Pointwise Convergence - 23 & Quiz 5

Our exploration of functions leads us to an intriguing possibility: we could construct a function that is the limit of a sequence of functions! As we’ll see, we can define functions as elements living in their own metric space. What does it mean for a sequence of functions to converge?

Reading: Read Rudin 7.1 on Pointwise Convergence (pp. 142-147).

Note

Today is Quiz 5 - in class.

Pre-Lecture Materials

• Pointwise convergence - Pre-lecture notes
• Pointwise convergence - Full lecture notes

Assignments

• Homework 9

Additional Materials

• Differentiability and Continuity notes

Lecture Notes

• Lecture 23 Sequences of Functions Pointwise Convergence CLASSNOTES F2025