Jan 12
Basic principles (axioms)
Elementary operations
(Handout1, Ch 1)
(Homework1 to be handed in by Wed 18)
Jan 17
Ordered pairs
Relations
(Handout2, Ch 2, Sect 1 and 2)
Jan 19
Functions
(Handout3, Ch 2, Sect 3)
(Homework2 to be handed in by Wed 25)
Jan 24
Equivalences and partitions
Orderings
(Handout4, Ch 2, Sect 4 and 5)
Jan 26
Orderings (cont.) (Hasse diagram)
(Homework3 to be handed in by Feb 1)
Jan 31
The natural numbers
Properties of natural numbers
(Handout5, Ch 3, Sect 1 and 2)
Feb 2
The recursion theorem
(Handout6, Ch 3, Sect 3)
(Homework4 to be handed in by Feb 8)
Feb 7
The recursion theorem (cont.)
Arithmetic of natural numbers
(Handout7, Ch 3, Sect 4)
Feb 9
Midterm
Feb 14
Cardinality of sets
Finite sets
(Handout8, Ch 4, Sect 1 and 2)
Feb 16
Countable sets
(Handout9, Ch 4, Sect 3)
(Homework5 to be handed in by Feb 22)
Feb 21
Linear orderings
(Handout10, Ch 4, Sect 4)
Feb 23
Complete linear orderings
Uncountable sets
(Handout11, Ch 4, Sect 5 and 6)
(Homework6 to be handed in by Mar 6)
Feb 28
Complete linear orderings (cont.)
Uncountable sets (cont.)
Mar 2
Cardinal arithmetic
The cardinality of the continuum
(Handout12, Ch 5, Sect 1 and 2)
(Homework7 to be handed in by Mar 10)
Mar 7
Well-ordered sets
Ordinal numbers
(Handout13, Ch 6, Sect 1 and 2)
Mar 9
The axiom of replacement
(Handout14, Ch 6, Sect 3)
The Zermelo-Fraenkel axiom system
Mar 14
(No class)
Mar 16
(No class)
Mar 20 (confirmed!)
Final exam
Last updated: March 9, 2006, 09:25am PST