Rhombic tiling, permutation plot, subset gamegraph, permutahedron, hyperplane arrangement, structure diagram, three-dimensional heap, Cayley diagram, braid graph, and L-tromino tiling.

Guidelines

On each homework assignment, please write (i) your name, (ii) name of course, and (iii) homework number. You are allowed and encouraged to work together on homework. Yet, each student is expected to turn in their own work. In general, late homework will not be accepted. However, you are allowed to turn in one late homework assignment with no questions asked. Unless you have made arrangements in advance with me, homework turned in after class will be considered late. I reserve the right to modify assignments if the need arises. When doing your homework, I encourage you to use the Elements of Style for Proofs as a reference.

Assignments

Here are the assignments. I will post them as we go.

  • Homework 1: Complete 1.1, 1.2, 1.3, 1.4, 1.6. It's not required, but if you are motivated, I bet 1.5 is fun, too. (Due Friday, September 9)
  • Homework 2: Complete any four of 1.7, 1.8, 1.9, 1.11, 1.12. (Due Wednesday, September 14)
  • Homework 3: Complete 1.10, 1.13, 1.14, 1.15. (Due Wednesday, September 21)
  • Homework 4: Choose 3 from 2.1, 2.2, 2.3, and 2.6. (Due Wednesday, September 29)
  • Homework 5: Complete 2.4, 2.7, 2.8. (Due Wednesday, October 5)
  • Homework 6: Choose 2 from 3.1, 3.2(parts 3 and 6), 3.4(part 1), 3.5 and also complete 3.6. (Due Wednesday, October 19)
  • Homework 7: Complete any 2 of 3.8, 3.9, 3.10, 3.11. (Due Wednesday, October 26)
  • Homework 8: Complete 5.1 and 5.5 (skip last part about weak order). (Due Wednesday, November 2)
  • Homework 9: Complete 5.7 and 5.6 (in either order). (Due Wednesday, November 9)
  • Homework 10: Complete 5.2 and 5.3. (Due Wednesday, November 16)
  • Homework 11: Choose any 3 from 5.8, 5.9 (you do not need to write down the matrix for the $n=4$ case), 5.11, 5.12. (Due Friday, December 9)