Rhombic tiling, permutation plot, subset gamegraph, permutahedron, hyperplane arrangement, structure diagram, three-dimensional heap, Cayley diagram, braid graph, and L-tromino tiling.
  2. Teaching
  3. MAT526
  4. Homework

Homework

Syllabus Stuff HW

Guidelines

Try each problem on your own first. Outside of class, you may use resources that help you learn, including books, websites, classmates, and AI tools. Cite and attribute ideas that are not your own, and come to class prepared to explain, defend, critique, and adapt the ideas you use. Collaboration is encouraged, but each student must submit their own work. Complete each assignment before class and include your name and the homework number. You may revise your work during class, but use a different color for all in-class changes; your grade is based on your effort before class. If you use a tablet, email me your annotated homework at the end of class.

You may turn in three late homework assignments. Unless you have made arrangements with me in advance, work turned in after class is late. See the syllabus for the grading rubric and full homework policy, and the Rules of the Game for guidance on using resources. Please ask questions or visit office hours when you need help.

Assignments

I reserve the right to modify an assignment if the need arises.

  • Homework 1: Read the syllabus and write down 5 items that you think are important. Note: All of the quiz dates only count as a single item. In addition, complete Problem 2.1 in the book (PDF).
  • Homework 2: Complete Problem 2.1 for one new combinatorial species.
  • Homework 3: Complete Problems 2.2, 2.3, 2.5-2.8 and digest the surrounding text along the way. (Due Monday, August 31)
  • Homework 4: Complete Problems 2.9-2.12, 2.14 and digest the surrounding text along the way. (Due Wednesday, September 2)
  • Homework 5: Complete Problems 2.15, 2.16, 2.18, 2.21, 2.22, 2.23(a)(b) and digest the surrounding text along the way. (Due Friday, September 4)
  • Homework 6: Complete Problems 2.23(c)(d)(e), 2.24, 2.25(a), any five parts from 2.27 and digest the surrounding text along the way. For Problem 2.27, just outline your proposed bijections and don’t worry about writing rigorous proofs. (Due Wednesday, September 9)
  • Homework 7: Complete Problems 2.28, 2.30-2.33 and digest the surrounding text along the way. (Due Monday, September 14)
  • Homework 8: Complete Problems 2.34-2.39 and digest the surrounding text along the way. (Due Wednesday, September 16)
  • Homework 9: Complete Problems 2.40, 2.41, 2.43, 3.3, 3.4 and digest the surrounding text along the way. (Due Friday, September 18)
  • Homework 10: Complete Problems 3.5-3.9 and digest the surrounding text along the way. (Due Monday, September 21)
  • Homework 11: Complete Problems 3.10, 3.12, 3.14, 3.15 and digest the surrounding text along the way. Make sure you read and digest Theorem 3.13. (Due Wednesday, September 23)
  • Homework 12: Complete Problems 3.18-3.21 and digest the surrounding text along the way. (Due Monday, September 28)
  • Homework 13: Complete Problems 3.22-3.25 and digest the surrounding text along the way. (Due Wednesday, September 30)
  • Homework 14: Complete Problems 3.26-3.28 and digest the surrounding text along the way. (Due Friday, October 2)
  • Homework 15: Complete Problems 3.29-3.33 and digest the surrounding text along the way. (Due Monday, October 5)
  • Homework 16: Complete Problems 3.34-3.38 and digest the surrounding text along the way. (Due Wednesday, October 7)
  • Homework 17: Complete Problems 3.43-3.46 and digest the surrounding text along the way. (Due Wednesday, October 14)
  • Homework 18: Complete Problems 3.47, 4.3-4.6, 4.8 and digest the surrounding text along the way. (Due Friday, October 16)
  • Homework 19: Complete Problems 3.48, 4.9, 4.10 and digest the surrounding text along the way. (Due Monday, October 19)
  • Homework 20: Complete Problems 4.11-4.13 and digest the surrounding text along the way. (Due Wednesday, October 21)
  • Homework 21: Complete Problems 4.14-4.17 and digest the surrounding text along the way. (Due Monday, October 26)
  • Homework 22: Complete Problems 4.18, 4.19, and the unnumbered problem after 4.19 and digest the surrounding text along the way. (Due Wednesday, October 28)
  • Homework 23: Complete Problems 4.20-4.23 and digest the surrounding text along the way. (Due Friday, October 30)
  • Homework 24: Complete Problems 4.25, 4.28, 4.30-4.32 and digest the surrounding text along the way. (Due Wednesday, November 4)
  • Homework 25: Complete Problems 4.33, 4.35, 4.36 and digest the surrounding text along the way. (Due Friday, November 6)
  • Homework 26: Complete Problems 4.37, 4.38, 4.40, 4.41 and digest the surrounding text along the way. (Due Friday, November 13)

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