Sums, Products, and Rearrangements of Series - 19
In this lecture, we’ll explore algebraic manipulations of series. How and when can we take sums of series? What about products of series? What happens if we rearrange the terms in a series? We’ll see that the answers to these questions can be surprising.
Reading: Rudin Ch. 3: Addition and Multiplication of Series, Rearrangements (pg. 72–78)
Pre-Lecture Materials
- Sums, Products, and Rearrangement of Series: Pre-Lecture Notes
- Sums, Products, and Rearrangement of Series: Full Lecture Notes
- Sums, Products, and Rearrangements of Series: Full lecture notes (alt)
Sums of Series: Pre-lecture video A
Products and Rearrangements of Series: Pre-lecture video B
In-Class Activities
Open the following Overleaf link and make a copy for yourself. Remember to include the names of everyone who worked together in the document.
Lecture 19 In-Class Activity: Sums, Products, and Rearrangements
Assignments
- Submit Overleaf Proof 19: Sums, Products, and Rearrangements
- Homework 8