Abstract
The Sequences and Series calculus course (S&S) can be structured to provide students with a unique opportunity to build their proofs skills prior to or concurrently with a bridge course. This article offers a framework for S&S which places logical reasoning on equal footing with content, by employing the theorems and convergence tests as axioms, and lists sufficient supplementary theorems and definitions.
ACKNOWLEDGMENTS
The students in the first such version of Sequences and Series I taught deserve great thanks, for both their helpful suggestions and for adapting quite well to what was perhaps an alarming turn in their mathematical lives. In no particular order, I extend my appreciation to Dania Morales, Mitch Staehle, Aaron Dull, Emily Trigg, Molly Mack, Ryan Clark, Nick Gard, and Jerry Nance.