- 1.1 (8/20-22)
- Terms: ordered field, Archimedian property
- Theorems: 1.1.1, 1.1.2
- Problems: 2, 7, 10 (Due 8/29)
- 1.2 (8/20-22)
- Terms: set, subset, open interval, closed interval, half-open interval, empty set, natural numbers, integers, rationals, reals, union, intersection, complement, Cartesian product, function, domain, range, one-to-one, onto, inverse
- Examples: 1-6
- Problems: 1, 2, 4, 5, 8 (Due 8/29)
- 1.3 (8/27)
- Terms: cardinality, one-to-one correspondence, finite, infinite, countable
- Theorems: 1.3.1-1.3.5
- Examples: 1, 2
- Problems: 1, 3 (Due 8/29)
- 1.3 (8/29)
- Terms: irrational, uncountable
- Theorems: 1.3.6
- Problems: 7, 9 (Due 9/17)
- 1.4 (9/5-10)
- Terms: converse, equivalent, if and only if, direct proof, contrapositive proof, proof by contradiction, induction, counterexample
- Theorems: 1.4.1-1.4.3 (as examples of proof methods)
- Examples: 1
- Problems: 4 (direct), 5 (contrapositive), 6 (induction), 10 (Due 9/17)
- 2.1 (9/10-12)
- Terms: sequence, converge, limit, diverge
- Examples: 1-5
- Problems: 2a, 4d, 6, 8 (Due 9/17)
- 2.2 (9/17)
- Terms: bounded
- Theorems: 2.2.1-2.2.6
- Examples: 1-3
- Problems: 4 (Due 9/26)
- 2.4 (9/24)
- Terms: Cauchy sequence, dense, complete, completeness axiom
- Theorems: 2.4.1, 2.4.2
- Examples: 1
- Problems: 1, 2 (Due 9/26)
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