Math 280: Selected topics in probability and combinatorics
UC Davis, Fall 2013

News and announcements

• No announcements yet.

General course information

• Instructor: Dan Romik
• Lecture times and place: Tuesdays and Thursdays 3:10-4:30 in MSB 3106
• Office hours: By appointment (or feel free to just show up in my office, MSB 2218)
• Course description: Here is a syllabus.
• Textbook: The course will be based on a textbook I am writing, which can be found here.
• Grading: The course will have no final exam. The final grade will be based on two components:
  • 3 homework problem sets that will be given out over the quarter.
  • A final writing assignment. This could take the form of either a traditional final paper, or a Wikipedia-style article, on a subject related to the course material. The goal with a Wikipedia-style article would be to actually publish the article on Wikipedia and in this way contribute useful knowledge on advanced mathematical subjects to the public domain.

Homework

• The first homework problem set is due on 10/24 and consists of the following parts:
  • Solve problems 1.1(b), 1.6(b)-(d), 1.8, 1.9, 1.10 in the lecture notes.
  • Compute the Young tableaux P,Q associated via the Robinson-Schensted algorithm with the permutation (13,8,3,10,2,15,7,1,5,6,11,12,14,9,4).
  • Compute the permutation associated with the Young tableaux
          P = (1 4 6 10 11 ; 2 5 7 ; 3 8 9),
          Q = (1 3 5 8 9 ; 2 4 10 ; 6 7 11)
    of shape (5,3,3) (the semicolons denote separators between the rows of the tableaux).
• The second homework problem set is due on 11/14. Click here to download it (pdf).
• The third homework problem set is due on 12/5. Click here to download it (pdf).