Summary
Online course in mathematical reasoning (including proof techniques).
This page serves as a resource to my online asynchronous course on Mathematical Reasoning and Proof. Originally, this course was taught as Math 300 at the University of Washington, during the winter quarter 2021. If you are a GWU student, you should really take the version that our department offers: Math 2971! The YouTube playlist for this course is here: https://www.youtube.com/playlist?list=PLoxJTbDttvt5irjK-gD_bemI0IetyR7D6
The textbook used was Mathematical Reasoning: Writing and Proof, by Ted Sundstrom, available for free on the author’s website: https://scholarworks.gvsu.edu/books/9/.
On this page, I have posted my own course notes as well as the problem sets that I used. With these free resources, I hope that you can learn how to read and write mathematical proofs, and the basics of mathematical reasoning. With these fundamentals in place, the world of mathematics education opens up greatly!
Another useful resource is my advice on how to type up mathematics: https://blogs.gwu.edu/robertwon/2021/07/18/how-to-tex-your-homework/