| Jan. 28 |
|
introduction |
| Jan. 30 |
DME: 2.1, 2.2, 2.5, 2.6 |
sets |
| Feb. 2 |
DME: 2.3, 2.4, 2.7, 2.8 |
subsets and power set |
| Feb. 4 |
MR: pgs. 1-10, 35-37, short article on Moodle |
math statements, and/or/not |
| Feb. 6 |
MR: 33-34, section 2.4 |
quantifiers |
| Feb. 9 |
MR 82-83, then DME 12.1-12.3 |
set containment, divisibility |
| Feb. 11 |
MR 16-24 |
proving conditional statements |
| Feb. 13 |
MR 25-27, 44, 85-91, 94-95 |
writing good proofs, contrapositive, or statements |
| Feb. 16 |
MR 141-147, 414-415 |
contradiction,division algorithm, gcd |
| Feb. 18 |
MR 415-423 |
well ordering, gcd, Euclidean algorithm |
| Feb. 20 |
MR 281-295, 297-302, 307-311 |
functions, injective, surjective |
| Feb. 23 |
Snow Day! |
|
| Feb. 25 |
MR 311-317, 323-330 |
bijection and composition |
| Feb. 27 |
MR 334-344, this blog post and this one too |
inverses |
| Mar. 2 |
MR 92-93, DME 17.1-17.3 |
congruence, equivalence relations |
Mar. 4 |
MR 147-149 |
modular arithmetic |
| Mar. 6 |
P&C 151-160 |
induction |
| Mar. 9 |
-- |
Exam 1 |
| Mar. 11 |
P&C 8.3 |
more induction |
| Mar. 13 |
DME 6.9 |
pigeonhole |
| Mar. 22 |
P&C 9.2 |
more pigeons! |
| Mar. 24 |
DME 6.1-6.3 |
core counting techniques |
| Mar. 26 |
-- |
no class: Jen is away |
| Mar. 30 |
DME 6.4 |
permutations |
| Apr. 1 |
DME 6.5 |
combinations |
| Apr. 3 |
DME 6.6 |
binomial theorem |
| Apr. 6 |
P+C 9.3, DME 6.7 |
inclusion-exclusion |
| Apr. 8 |
notes on Moodle |
derangements |
| Apr. 10 |
DME 6.10 |
combinatorial proof |
| Apr. 13 |
DME 7.1, 7.2 |
probability |
| Apr. 15 |
DME 7.3, 7.4 |
conditional probability |
| Apr. 17 |
-- |
Exam 2 |
| Apr. 20 |
DME 7.5, GRAPH 1.1.1 and 1.1.2 |
Bayes Formula and intro to graphs |
| Apr. 22 |
GRAPH 1.1.3,1.2.2 (pg. 21-23),1.3.1 |
bipartite graphs, adjacency matrix, intro to trees |
| Apr. 24 |
GRAPH 1.3.2, 1.3.3 |
properties of trees, spanning trees |