The Fundamental Ideas of Mathematics
Record of assignments.
Solutions distributed in class.
The Greek alphabet.
Some brief tips on writing proofs.
Some longer tips on dealing with proofs.
An introductory example.
A basic fact about union and intersection.
Classwork: practice with unions and intersections of indexed sets.
Classwork on converse, contrapositive, and inverse.
Lincoln comes to Fundamentals class.
Assignment 7 classwork.
More on union and intersection of sets.
A proof of one of the basic properties of sets.
Handout on the Fundamental Theorem of Arithmetic.
Classwork: Using the FTA to count divisors.
Splitting nonconvex polygons.
Some graph theory terminology.
Constructing path "C" (flowchart).
Partitions and equivalence relations.
Classwork: practice with direct and inverse images of sets.
Some history of the concept of negative numbers.
A partition of (NxN).
Sizing infinite sets.