last updated 12.5.2007
(check back frequently for updates)
| date [class number] | agenda | practice homework |
|---|---|---|
| (M 8/27) [1] |
review syllabus, classweb Section 1.1 = truth tables |
Section 1.1 = 1-11 (truth table practice here) |
| (W 8/29) [2] |
Section 1.1 continued Section 1.2 = the algebra of propositions |
Section 1.2 = 1-10 (look for the "Analytical Engine Online" at the links page) |
| (F 8/31) [3] |
Section 1.2 continued Section 1.3 = logical arguments |
Section 1.3 = ?! |
| (M 9/3) |
Labor Day no classes |
|
| (W 9/5) [4] | Section 2.1 = sets |
Section 2.1 = 1-14 (the Amazing Mathematical Object Factory is here) |
| (F 9/7) [5] |
Section 2.1 continued Section 2.2 = operations on sets |
Section 2.2 = 1-30 (Venn links 1, 2, 3) |
| (M 9/10) [6] |
H1 due (see the file in Excel 2007 or pdf) Section 2.2 continued |
|
| (W 9/12) [7] | Section 2.3 = binary relations | Section 2.3 = ?! |
| (F 9/14) [8] | Q1 = (1.1,1.2,2.1,2.2) | |
| (M 9/17) [9] | Section 3.1 = mathematical induction | Section 3.1 = 1-8,11,12 |
| (W 9/19) [10] |
Section 3.1 continued Section 3.2 = recursively defined sequences |
Section 3.2 = 1,2,6-10,12,15,18-21,40-43 (links for sequences: 1, 2, 3) |
| (F 9/21) [11] | Section 3.2 continued |
|
| (M 9/24) [12] |
Section 4.1 = the principle of inclusion-exclusion |
Section 4.1 = 1-15 |
| (W 9/26) [13] |
Section 4.2 = the addition and multiplication rules |
Section 4.2 = 1-23 |
| (F 9/28) [14] |
Section 4.3 = the pigeonhole principle |
|
| (M 10/1) [15] |
Section 4.3 continued |
Section 4.3 = 1-19,27 |
| (W 10/3) [16] |
Section 5.1 = permutations |
Section 5.1 = 1-17 (the Amazing Mathematical Object Factory is here) |
| (F 10/5) [17] | Section 5.2 = combinations |
Section 5.2 = 1-20,25 (the Amazing Mathematical Object Factory is here) |
| (M 10/8) |
Columbus Day no classes |
|
| (W 10/10) [18] | Section 5.5 = repetitions | Section 5.5 = 1-19 |
| (F 10/12) [19] |
Section 5.5 continued Section 5.6 = derangements |
Section 5.6 = 1-8 |
| (M 10/15) [20] |
Section 5.6 continued Section 5.7 = the binomial theorem H3 due |
Section 5.7 = 1-12 |
| (T 10/16) | mid-semester |
|
| (W 10/17) [21] | Section 5.7 continued | |
| (F 10/19) [22] |
|
|
| (M 10/22) [23] | Section 6.1 = a gentle introduction to graphs | Section 6.1 = 1-11 |
| (W 10/24) [24] | Section 6.2 = definitions and basic properties | Section 6.2 = 1-9,12-23,27,28 |
| (F 10/26) [25] | Section 6.3 = isomorphism |
Section 6.3 = 1-11 (the NCTM Graph Creator is here) |
| (M 10/29) [26] | Chapter 6 summary |
|
| (W 10/31) [27] | Section 7.1 = Eulerian circuits | Section 7.1 = 1-13,22-27 |
| (F 11/2) [28] |
Section 7.1 continued Section 7.2 = Hamilton circuits |
Section 7.2 = 1-13,21-24 |
| (M 11/5) [29] |
Section 7.3 = adjacency matrices Section 7.4 = shortest path algorithms |
Section 7.3 = 1-14 Section 7.4 = 1-15 |
| (T 11/6) | last day to withdraw | |
| (W 11/7) [30] |
Section 7.4 continued Traveling Salesman Problem, "Nearest Neighbor" algorithm |
links: Traveling Salesman Problem, TSP Generator |
| (F 11/9) [31] |
H4 due (Exercise #4 was discarded) Q4 = (6.1,6.2,6.3,7.1,7.2,7.3,7.4) |
|
| (M 11/12) [32] | Section 8.1 = the Chinese Postman Problem | Section 8.1 = 1-8 |
| (W 11/14) [33] |
Section 8.2 = digraphs Section 8.5 = scheduling problems |
Section 8.2 = 1-9,11,14,15,17-19 Section 8.5 = 1-17 |
| (F 11/16) [34] | finish Section 8.5 | |
| (M 11/19) [35] |
H5 due Q5 = (8.1,8.2,8.5) |
|
| (W 11/21 - F 11/23) | Thanksgiving break (no classes) |
|
| (M 11/26) [36] | Section 9.1 = trees and their properties | Section 9.1 = 1-15,23-27a |
| (W 11/28) [37] | Section 9.2 = spanning trees | Section 9.2 = 1-14 |
| (F 11/30) [38] | Section 9.3 = MST algorithms | Section 9.3 = 1-9 |
| (M 12/3) [39] | Section 10.1 = planar graphs | Section 10.1 = 1-14 |
| (W 12/5) [40] |
Section 10.1 continued Section 10.2 = coloring graphs |
Section 10.2 = 1-27 |
| (F 12/7) [41] | Section 10.2 continued | |
| (M 12/10) [42] |
Q6 = (9.1,9.2,9.3,10.1,10.2) |
|