C&O 330 - Combinatorial Enumeration

This page was updated on 6-XII-04.

Tutorial

From time to time I may have to miss a lecture, or it may be helpful to have an extra time slot for discussing topics in the lectures where there may be difficulties. I shall announce in class when these are to take place.

Organisation of the course

Information about the organisation of the course and the material to be discussed are in Course Outline. all of the information will be in .pdf format.

Course Notes

These are obtainable from the "Pixel Planet" (MC 2018) and cost $20.

Midterm Examination

Wednesday 27 October, from 5:00 to 7:00pm, in MC 2054.

Office hours

D.M. Jackson Monday & Wednesday 4:30 - 5:30 MC 6053
Marshall Drew-Brook Tuesday 11:30 - 12:30 MC 6155 3 - 4 MC 6155
Berkant Ustaoglu Thursday 10 - 11 DC 3144 1 - 2 DC 3144

**************** Office Hours during the examination period *********************************************************

There will be office hours from 13 December to 17 December.
  1. Berkant will be available from 10am to noon on 16 December and 17 December.
  2. Marshall will be available from 1 to 2pm every day from 13 December to 17 December.
  3. I shall be available from 4 to 5pm from 7 December to 10 December.

    4. Assignments

    The will be about six assignments for the course. Assignments are due on Fridays at the beginning of class. Late assignments will not be accepted unless discussed with the instructor in advance. Assignments will be returned in class on the Wednesday following their collection. The assignments are an integral part of the course and you are recommended very strongly indeed to attempt each question of each of them.

    Assignment 1. Due 1st October at 10:31am .

    Assignment 2. Due 8th October at 10:31am.

    Assignment 3. Due 22nd October at 10:31am.

    Assignment 4. Due 5 November at 10:31am.

    Assignment 5. Due 19 November at 10:31am.

    Assignment 6. NOT TO BE HANDED IN.

    Solutions

    The solutions for an assignment will appear here a day or so after the assignment has been collected for marking. The solutions will occasionally contain additional information that is of interest. This will appear in the form of comments .

    Solutions 1: These will be readable on Monday 4 October.

    Solutions 2: Posted 15 October.

    Solutions 3: Posted 22 October.

    Solutions 4: Posted 23 November.

    Solutions 5: Posted 1 December.

    Midterm Examination

    Miscellaneous items arising from the lectures or assignments

    1. An exact formula for the partition number $p(n)$s given in Notes on the Hardy-Ramanujan-Formula for p(n)
    2. I mentioned the Jacobi Triple Product Identity in class, and the fact that certain congruences for the partition number may be deduced from it. The construction is given in the Course Notes. Fuller details are given in Notes on the Jacobi Triple Product Identity.

    Final mark for the course