Math 116: Excursions in Mathematiucs
(Instructor: Sergei Chmutov)

Winter 2011. Tentative Daily Schedule

01/03 (Mo)
Introduction. Graphs. Graph concepts.
(Sec. 5.1, 5.2, 5.3).
01/05 (We)
Graph models. Euler's theorems.
(Sec. 5.3, 5.4, 5.5).
01/07 (Fri)
Fleury's algorithm. Eulerizing graphs.
(Sec. 5.6, 5.7).
01/10 (Mo)
Hamilton circuits and paths. Complete graphs.
(Sec. 6.1, 6.2).
01/12 (We)
Traveling Salesman Problem. (Sec. 6.3, 6.4).
01/14 (Fri)
The brute-force algorithm. (Sec. 6.5).
01/17 (Mo)
NO CLASSES
01/19 (We)
The nearest-neighbor algorithm. (Sec. 6.6, 6.7).
01/21 (Fri)
The cheapest-link algorithm. (Sec. 6.8).
01/24 (Mo)
Trees. Minimal spanning trees (Sec. 7.1, 7.2).
01/26 (We)
Review for midterm 1.
01/28 (Fri)
Midterm #1.
01/31 (Mo)
Kruskal's algorithm.
(Sec. 7.3)
02/02 (We)
Symmetry. Reflections.
(Sec. 11.2)
02/03 (Fri)
Rotations. (Sec. 11.3)
02/07 (Mo)
Translations. Glide reflections.
(Sec. 11.4, 11.5)
02/09 (We)
Symmetry type. (Sec. 11.6)
02/11 (Fri)
Fibonnacci numbers.
(Sec. 9.2)
02/14 (Mo)
Golden Ratio. (Sec. 9.3)
02/16 (We)
Review for midterm 2.
02/18 (Fri)
Midterm #2.
02/21 (Mo)
Arithmetic sequences.
(Mini-excursion 3)
02/23 (We)
Compound interest.
(Sec. 10.3)
02/25 (Fri)
Geometric sequences.
(Sec. 10.4).
02/28 (Mo)
Sample spaces. (Sec. 15.1).
03/02 (We)
Counting. The multiplication rule. (Sec. 15.2).
03/04 (Fri)
Probability Spaces.
(Sec. 15.4)
03/07 (Mo)
Equiprobable spaces.
(Sec. 15.5)
03/09 (We)
Odds. (Sec. 15.6)
03/11 (Fri)
Review for the final.