Date 
Topics covered 
Read before class

August 22 
Sets and operations on them 
Hammack 1.11.8 
August 24 
Logic, truth tables, Worksheet 1 
Hammack 2.12.6 
August 29 
Statements in logic 
Hammack 2.72.12 
August 31 
Proofs: Introduction and first techniques 
Hammack 4.14.5 
September 5 
Proofs by contrapositive 
Hammack 5.15.3 
September 7 
Proofs by contradiction 
Hammack 6.16.4 
September 12 
More on proofs 
Hammack 7.17.4 
September 14 
Settheoretic proofs 
Hammack 8.18.3 
September 19 
Review 

September 21 
Midterm 1 

September 26 
Induction 
Hammack 10.110.3 
September 28 
Relations, equivalence relations, partitions, integers modulo n 
Hammack 11.111.5 
October 3 
Functions, properties of functions, the pigeonhole principle 
Hammack 12.112.3 
October 5 
Compositions of functions, inverse functions, images and inverse images of functions 
Hammack 12.412.6 
October 10 
Fall Recess, no class 

October 12 
Cardinality, countable sets, uncountable sets 
Hammack 13.113.2 
October 17 
Comparing cardinalities, the CantorBernsteinSchröder theorem 
Hammack 13.313.4 
October 19 
Groups 
Judson 3.13.2 
October 24 
Properties of groups, subgroups, and Cyclic groups
 Judson 3.3, 4.1 
October 26 
Review 

October 31 
Midterm 2 

November 2 
Symmetric groups and dihedral groups 
Judson 5.15.2 
November 7 
Cosets, Lagrange's theorem 
Judson 6.16.2 
November 9 
Fermat's Little Theorem, Euler's Totient Theorem 
Judson 6.3 
November 14 
Limits of sequences 
Ross 2.72.8 
November 16 
Limit theorems 
Ross 2.9 
November 21 
Monotone sequences, Cauchy sequences 
Ross 2.10 
November 23 
Thanksgiving, no classes 

November 28 
Subsequences 
Ross 2.11 
November 30 
Continuity 
Ross 3.173.18 
December 5 
Review for final exam 
