Math 299: Introduction to Mathematical Proof

Course Handouts

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

• Course Syllabus – our course syllabus

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.

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!!

• Lurch is a math word processor that can check your proofs!
  • Quick Start Guide
  • Topics – each one opens a blank document containing its rules and those from the topics above it.
    1. Propositional Logic
    2. Predicate Logic with Equality
    3. Logic Theorems
    4. Peano Axioms for the Natural Numbers
    5. Number Theory Definitions
    6. Equations
    7. Number Theory Theorems
    8. Sequences and Recursion
    9. Axioms for the Real Numbers
    10. Set Theory
    11. Functions
    12. Relations
  • Math 299 Lurch – opens a blank document with all of the rules from the topics listed above available.
  • Equations and Logic – a smaller library not containing Peano axioms or Number Theory.
  • Examples – a few proofs done in Lurch using the topics defined above.
  • Lurch Syntax – a quick reference showing how to type various math expressions in Lurch
  • Lurch Desktop App – the original desktop version of Lurch. It is being replaced by the web version above, but still has some features that haven’t been duplicated.

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!.