Sep 7 
1.1, 1.2 
1.1, 1.2 
Integers: axioms and first consequences 
Sep 11 
1.2 
1.2 
Integers: first consequences 
Sep 14 
1.3, 2.1, 2.2 
1.3, 1.4, 2.1, 2.2 
Subtraction, natural numbers, ordering the integers 
Sep 18 
2.2, 2.3 
2.2, 2.3 
Ordering the integers, induction 
Sep 21 
2.3, 2.4 
2.3, 2.4 
Induction, the wellordering principle 
Sep 25 
3.1–3.3 
3.1–3.4 
Logic 
Sep 28 
4.1, 4.2 
4.1–4.3 
Finite series 
Oct 2 
4.3, 4.4 
4.4–4.6 
The Binomial Theorem, strong induction 
Oct 5 
5.1, 5.2 
5.1, 5.2 
Naive set theory, subsets, intersections, unions 
Oct 12 
5.3–5.5 
5.3, 5.4 
Cartesian products, functions 
Oct 16 
6.1, 6.2 
6.1, 6.2 
Equivalence relations, the division algorithm 
Oct 19 
6.3 
6.3 
The integers modulo n 
Oct 24–28 
Reading week 
Oct 30 
6.4 
6.4 
Prime numbers 
Nov 2 
1.1–6.1 
1.1–6.1 
Midterm test 
Nov 6 
7.1 
8.1 
Axioms of the real numbers 
Nov 9 
7.2, 7.3 
8.2, 8.3 
Positive real numbers and ordering, the real numbers versus the integers 
Nov 13 
7.4 
8.4 
Upper and lower bounds 
Nov 16 
8.1 
9.1 
Injections, surjections, and bijections 
Nov 20 
8.1, 8.2 
9.1, 9.2 
Inverse functions, embedding Z in R 
Nov 23 
9.1–9.3 
10.1–10.3 
Unboundedness of the integers, absolute value, distance 
Nov 27 
9.4 
10.4 
Limits 
Nov 30 
9.4 
10.4 
Limits 
Dec 4 
9.5, 10.1, 10.2 
10.5, 11.1, 11.2 
Square roots, rational and irrational numbers 
Dec 6 


Review: Questions, Solutions 