Sep 6 
1.1, 1.2 
1.1, 1.2 
Integers: axioms and first consequences 
Sep 10 
1.2 
1.2 
Integers: first consequences 
Sep 13 
1.2, 1.3, 2.1 
1.2, 1.3, 1.4, 2.1 
More consequences of the axioms, subtraction, natural numbers 
Sep 17 
2.2, 2.3 
2.2, 2.3 
Ordering the integers, induction 
Sep 20 
2.3, 2.4 
2.3, 2.4 
Induction 
Sep 24 
2.4, 3.1–3.2 
2.4, 3.1–3.2 
The wellordering principle, logic 
Sep 27 
3.2, 3.3, 4.1, 4.2 
3.2–3.4, 4.1–4.3 
Logic, finite series 
Oct 1 
4.2–4.4 
4.2–4.6 
The Binomial Theorem, strong induction 
Oct 4 
5.1, 5.2 
5.1, 5.2 
Sets, subsets, intersections, unions 
Oct 11 
5.3–5.5 
5.3, 5.4 
Cartesian products, functions 
Oct 15 
6.1, 6.2 
6.1, 6.2 
Equivalence relations, the division algorithm 
Oct 18 
6.3 
6.3 
The integers modulo n 
Oct 24–28 
Reading week 
Oct 29 
6.4 
6.4 
Prime numbers 
Nov 1 
1.1–6.2 
1.1–6.2 
Midterm test (Review questions, solutions) 
Nov 5 
7.1 
8.1 
Axioms of the real numbers 
Nov 8 
7.2, 7.3 
8.2, 8.3 
Positive real numbers and ordering, the real numbers versus the integers 
Nov 12 
7.4 
8.4 
Upper and lower bounds 
Nov 15 
8.1 
9.1 
Injections, surjections, and bijections 
Nov 19 
8.1, 8.2 
9.1, 9.2 
Inverse functions, embedding Z in R 
Nov 22 
9.1–9.3 
10.1–10.3 
Unboundedness of the integers, absolute value, distance 
Nov 26 
9.4 
10.4 
Limits 
Nov 29 
9.4 
10.4 
Limits 
Dec 3 
9.5, 10.1, 10.2 
10.5, 11.1, 11.2 
Square roots, rational and irrational numbers 
Dec 5 


Review (Review questions, solutions) 