## CO 430/630 Algebraic Combinatorial Enumeration

### MC 4064

(Topics will include the following, perhaps among others.)

### V. Enumerative Combinatorics of Electrical Networks

Homework: 15%
Midterm Exam: 30%
Final Exam: 55%

Graduate (630) students will be expected to do more (and more difficult) work than undergraduate (430) students.

### Tutorials and Office Hours

There are none of either! Instead, as this is a small class of seniors and graduate students, my office is open to you anytime. (Uh... any time I'm there. ;-) Come in and chat... if I'm busy we can arrange another time.

My contact information:
office: MC 5040
phone: (519) 888-4567 x2487
e-mail: dgwagner@math.uwaterloo.ca

### Assignments, Solutions, and Notes

Homework assignments and solutions, Midterm Exam solutions, and Course Notes will be posted here as the semester progresses.

• Formal Power Series, and the Lagrange Implicit Function Theorem (LIFT). [ PDF file ]

• Exponential Generating Functions I and II, and LIFT again. [ PDF file ]

• HOMEWORK ASSIGNMENT #1: due Monday, October 9. *edit* Wednesday, October 11.
CO 430: Exercises 7.5, 7.8(a), 11.5 (part (b) asks for #Dn), 11.6, 11.9, 11.12, 12.1.
CO 630: All the above plus Exercises 7.8(b), 7.12, 11.15, and
(*) Show that composition of natural classes is associative (modulo natural equivalence). That is, for natural classes A, B, and C, there is a natural equivalence of classes A[B[C]] == (A[B])[C].

• HOMEWORK (MINI-)ASSIGNMENT #2: due Friday, Octber 27.
[TYPO: in Ex.12.4, h(3)=3.]
CO 430: Exercises (12.4 or 12.6) and (13.1).
CO 630: Exercises 12.4, 12.6, 13.1.

• Introduction to Symmetric Functions [ PDF file ]

• HOMEWORK ASSIGNMENT #3: due Wednesday, November 15.
*edit* Friday, Nov.17th. [ PDF file ]

• Representations of sl(2,C) and Enumeration. [ PDF file ]

• HOMEWORK ASSIGNMENT #4: due Monday, December 4. [ PDF file ]

• FINAL EXAMINATION: Friday, December 15.
MC 4040, 2:00 - 5:00.