Math 299: Introduction to Mathematical Proof

Assignment #20 – Thursday, Apr 18, 2024
  1. Memorize the Axioms for Set Theory for a short quiz at the start of class on Thursday. You should memorize just the compact abbreviated rules in the Table on page 60 of the Lecture Notes.
  2. Click on this link and answer the questions in that Lurch document. Save frequently to your Dropbox folder using the Lurch File > Save menu option.

Course Handouts

Lecture Notes – the latest lecture notes from previous instances of our course. May be revised frequently.

Mathematical Writing and Typesetting

Overleaf

Homework Template (Handout style)
Click this link to start a new assignment (then copy the project in your list of Overleaf projects to make your own copy from my read-only original).

  • Sample Document – an example document using the homework assignment style above.
  • Homework Template (Article style)
    Click this link to start a new assignment that is formatted more like a typical LaTeX article (then copy the project in your list of Overleaf projects to make your own copy from my read-only original).
  • Overleaf – a free website where you can easily produce LaTeX math documents through a web browser
LaTeX
  • LaTeX Cheat Sheet – a quick reference that can be printed on one sheet of paper 
    (posted by winston at stdout.org)
  • Detexify – a quick way to look up the name of a math symbol in \LaTeX by drawing it by hand.
LaTeX for laptops
  • LyX – a free math word processor based on LaTeX
  • MikTeX – install this and TeXnicCenter for LaTeX on your Windows computer
  • TeXnicCenter – install this and MikTeX for LaTeX on your Windows computer
  • MacTeX – Install this for LaTeX on your Mac computer

Math 299 Online

  • Math 299 Online Classroom
  • Our home away from home if we can’t meet in person for some reason. Click here to enter our Zoom classroom.
  • Zoom help – Zoom for Scranton students, how to install, how to use, documentation.

Lurch!!

Toy Proof Software

  • Toy Proofs – a “toy” proof system I developed to introduce students to the concept of formal proofs.
  • Circle Dot Game – describing the definitions behind the game.
  • Toy Proof Talk Slides – slides from a talk I gave on Toy Proofs at the 2009 Joint Mathematics Meetings
  • Scrambling Ice Cream – a word problem based on a variant of the Toy Proof system, Scrambler!.
  • Lurch App – a math word processor that can check your proofs! I designed and wrote this software with former Scranton math major Nathan Carter specifically with this course in mind.