This is an old revision of the document!
Table of Contents
Divi Schmidt The following notes are organized by lecture date. The notes from lecture are handwritten on my iPad and vary in format depending on the content of the lecture. I include questions underneath the relevant lecture notes. Additionally, there is a short summary for each lecture that includes my thoughts on the content and discusses the content in perspective of the entire course.
Jan 19
This lecture is the foundation of the rest of the course. We start from the naturals and build everything in the course off of this first number set. It is quite amazing everything that we can construct from this very first concept, and something that one cannot appreciate until much later in the course. We also introduce induction, which is also a fundamental (and also very cool) concept for constructing proofs, something we do a lot of in this course.
Notes: jan19.pdf
Jan 21
We continue with foundational definitions in this lecture, introducing the idea of min, max, sup, and inf. We also distinguish the reals from the rest of the sets with the Completeness Axiom. These concepts dominate the first half of the course as we begin to analyze sequences and limits.
Notes: jan21.pdf
Jan 26
Notes:
Jan 28
Feb 2
Feb 4
Feb 9
Feb 11
Feb 16
Feb 18
Feb 23
Feb 25
Mar 2
Mar 4
Mar 9
Mar 11
Mar 16
Mar 18
April 6
Notes: april6.pdf
Apr 8
Apr 13
Apr 15
Apr 20
Apr 22
Apr 27
Apr 29
