Math 353: Advanced Topics in Discrete Applied Mathematics:
Applied Algebraic Combinatorics
This syllabus is incomplete and tentative, and will be superseded by later versions as the course evolves. Details on assignments can be found on the assignments webpage.
Week and Date 
Topic  Notes 
1: 1/271/31 
M: The Big Questions W: The permutation group F: Permutations of other Lie types; generators and relations 
F: HW due 
2: 2/32/7 
M: DNA: patterns and matchings W: Group actions F: Orbits, stabilizers, Polya theory 
Tu: HW due F: HW due 
3: 2/102/14 
M: DNA and deBruijn sequences W: RNA: basic story F: RNA: the tree model 
Tu: HW due F: HW due 
4: 2/172/21 
M: Combinatorics of trees W: Rally Day F: RNA: NonCrossing Matchings 
Th: HW due 
5: 2/242/28 
M: Combinatorics of NCMs W: Combinatorics equivalent to NCMs F: RNA: summing up 
Tu: HW due F: HW due, Pick final project 
6: 3/33/7 
M: Group work W: Group work F: Workshop presentations 

7: 3/103/14 
M: Workshop presentations W: Workshop presentations F: No class 
W: Sign up for seminar readings 
3/173/21  Spring break  
8: 3/243/28 
M: Seminar discussion on readings W: Seminar discussion on readings F: Group work 

9: 3/314/4 
M: Seminar discussion on readings W: Seminar discussion on readings F: Group work 
W: Outline of final presentation due 
10: 4/74/11 
M: Seminar discussion on readings W: Seminar discussion on readings F: Group work 
F: Draft of final presentation due 
11: 4/144/18 
M: Seminar wrapup W: Final presentations F: Group work 

12: 4/214/25 
M: Final presentations W: Final presentations F: Group work 

13: 4/285/2 
M: Final presentations W: Final presentations F: (Extra time for presentations) 
Final paper due last day of exams 