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Calendar

These topics were chosen and presented by the students in the Fall 2006 class. Each year, each student signs up for 4 dates and is responsible for presenting a lecture in class on each of those dates.

SES # TOPICS KEY DATES
1 Introduction  
2 Stable marriage problem  
3 Pattern-avoiding permutations, weighted Dych patterns  
4 Emergency response vehicles  
5 Game theory  
6 Conguences  
7 4 and 5 color theorems  
8 Cake-cutting algorithms  
9 RSA encryption  
10 Extrapolated numerical integration  
11 Sorting algorithms  
12 Post correspondence problem (PCP)  
13 Ramsey theory and Van der Waals' theorem Pick a topic for final paper project
14 Fibonacci numbers  
15 4 color theorem  
16 Recursions  
17 Domino tilings  
18 Towers of Hanoi  
19 Pigeonhole principle and Ramsey theory  
20 Surreal numbers  
21 Matrix hamming codes and the hat game Construct outline of final paper project
22 Juggling  
23 Zero-knowledge proofs  
24 Game theory: Repeated games  
25 Lewis Carroll's theorem for computing determinants  
26 Nash equilibrium Submit first draft of final paper project
27 5 proofs of the infinitude of primes  
28 Bridges of Konigsberg  
29 Time series analysis: GARCH model  
30 Rational recurrence relations  
31 Digital image compression  
32 Quantum computing  
33 Fundamental methods of numerical extrapolation with applications  
34 Infinities  
35 Markov chains  
36 Catalan numbers  
37 Election Theory  
38 Advanced counting techniques  
39 Class wrap-up Submit completed final paper project