Jul 2 | Ch. 1 - The language of mathematics
Ch. 2 - Implications Ch. 3 - Proofs |
Jul 4 | No class |
Jul 9 | Ch. 4 - Proof by contradiction
Ch. 5 - The induction principle HW 1 due, Solutions |
Jul 11 | Ch. 6 - The language of set theory
Ch. 7 - Quantifiers Ch. 15 - The division theorem |
Jul 16 | Ch. 16 - The Euclidean algorithm
Ch. 8 - Functions HW 2 due, Solutions |
Jul 18 | Midterm
Ch. 9 - Injections, surjections, and bijections |
Jul 23 | Ch. 10 - Counting
Ch. 11 - Properties of finite sets Ch. 12 - Counting functions and subsets HW 3 due, Solutions |
Jul 25 | Ch. 13 - Number systems
Ch. 14 - Counting infinite sets |
Jul 30 | Ch. 19 - Congruence of integers
Ch. 22 - Partitions and equivalence relations HW 4 due, Solutions |
Aug 1 | Ch. 23 - The sequence of prime numbers
Catch-up/Review Extra Problems (do not turn in), Solutions |
Aug 3 | Final Exam: 11:30am-2:30pm, Location TBD |