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

Autumn 2005. Tentative Daily Schedule

09/19 (Mo)
NO CLASSES
09/21 (We)
Introduction. Graphs. Graph concepts.
(Sec. 5.1, 5.2, 5.3).
09/23 (Fri)
Graph models. Euler's theorems.
(Sec. 5.3, 5.4, 5.5).
09/26 (Mo)
Fleury's algorithm. Eulerizing graphs.
(Sec. 5.6, 5.7).
09/28 (We)
Hamilton circuits and paths. Complete graphs. (Sec. 6.1, 6.2).
09/30 (Fri)
Traveling Salesman Problem. (Sec. 6.3, 6.4).
10/03 (Mo)
The brute-force algorithm. (Sec. 6.5).
10/05 (We)
The nearest-neighbor algorithm. (Sec. 6.6, 6.7).
10/07 (Fri)
The cheapest-link algorithm. (Sec. 6.8).
10/10 (Mo)
Trees. Minimal spanning trees (Sec. 7.1, 7.2).
10/12 (We)
Kruskal's algorithm.
(Sec. 7.3).
10/14 (Fri)
The shotest network.
(Sec. 7.4, 7.5).
10/17 (Mo)
Symmetry. Reflections. (Sec. 11.1-11.3).
10/19 (We)
Rotations (Sec. 11.4).
Review for midterm 1.
10/21 (Fri)
Midterm #1.
10/24 (Mo)
Translations.
Glide reflections.
(Sec. 11.5, 11.6).
10/26 (We)
Groups. (Sec. 11.7).
10/28 (Fri)
Groups and patterns.
(Sec. 11.8).
10/31 (Mo)
Wallpaper symmetry types. (Sec. 11.8).
11/02 (We)
Fibonnacci numbers.
(Sec. 9.1).
11/04 (Fri)
Golden Ratio. (Sec. 9.2)
11/07 (Mo)
Population growth. The linear growth model.
(Sec. 10.1, 10.2)
11/09 (We)
The exponential growth model. (Sec. 10.3).
11/11 (Fri)
NO CLASSES
11/14 (Mo)
The logistic growth model. (Sec. 10.4).
11/16 (We)
Sample spaces. (Sec. 15.1).
Review for midterm 2.
11/18 (Fri)
Midterm #2.
11/21 (Mo)
Counting. The multiplication rule.
(Sec. 15.2).
11/23 (We)
Permutations and combinations. (Sec. 15.3).
11/25 (Fri)
NO CLASSES
11/28 (Mo)
Groups of permutations.
11/30 (We)
Probability Spaces.
(Sec. 15.4-15.7)
12/02 (Fri)
Review for the final.