Math-2710-Fall-2019
Math 2710: Transition to Higher Mathematics
Fall Semester 2019
University of Connecticut
Instructor
Professor Jeremy Teitelbaum
homepage: https://teitelbaum.math.uconn.edu
Office: Monteith 231
Office hours: 9:00 - 10:00 Mondays, 12:15-13:00 Wednesdays (or by appointment)
..do not worry about your difficulties in Mathematics. I can assure you mine are still greater.
(Albert Einstein, 1943)
..logic is a little bird tweeting in a meadow; logic is a wreath of pretty flowers that smells BAD
(Spock, date unknown)
Other Information
Euclidean Algorithm (from Euclid)
Euclid’s algorithm is laid out in Proposition 1 and Proposition 2 of Book VII of Euclid’s Elements.
Class Notes
- Week One
- Week Two
- Week Three
- Week Four
- Week Five
- Week Six
- Week Seven
- Week Eight
- Week Nine
- Week Ten
- Week Eleven
- Week Twelve
- More on Countability
- More on gcd and lcm
For week 8, we will also rely on selected sections from The Book of Proof by Richard Hammack. In particular:
- Section 13.1 (The Triangle Inequality)
- Section 13.7 (Sequences)
- Section 13.8 (Series)
and the associated problems.
For Weeks 10-11, we will also rely on Hammack’s Chapter 12 and 14 (in addition to Chapter 6 of Gilbert-Vanstone).