Math 299: Introduction to Mathematical Proof

Assignment #11 – Thursday, Mar 12, 2026

Click on this link, read everything, and fill in the proofs in the Lurch document that opens. Feel free to ask me questions by email if you are stuck. Put your files in Dropbox as usual.

Course Handouts

Lecture Notes – a completely revised web verion of our course lecture notes and exercises. This is currently under development and will be revised frequently.

  • Previous Lecture Notes – the lecture notes and exercises from previous instances of our course. This is being revised and replaced by the site above, but is still useful.
  • Course Syllabus – our course syllabus

Proof Software

  • Lurch – is a math word processor that can check your proofs!
  • 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!.

Mathematical Writing and Typesetting

Overleaf

Homework Template (Article 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 (Handout 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.