Monday through Friday, July 9 to July 20, 2007
Please complete this Form. There
is no text for the course. Roughly speaking, we'll spend four days on Number
Theory, two days on Combinatorics, two days on relations and graphs, and two
days hearing students present solutions.
Please note that there is considerably more material here than anyone starting from scratch could possibly learn.
However, if this is your first encounter with discrete math, you are not expected to learn the whole course.
Just do the best you can including an hour or two EVERY night while the course is meeting.
The CMS sponsored students will receive a copy of
Solving Mathematical Problems: A Personal Perspective (Paperback)
by Terence Tao, Mathew Crawford's Introduction to Number Theory, and Richard Trudeau's Introduction to Graph Theory
the first day of class. The class will meet from 8:30 am to 3:30 pm daily in Cone Center Room 113 with a 15
minute morning break and a 45 minute lunch break.
The room is located on a lower level of the Cone Center near the outside walkway.
The assistant for the course
is Drew Boyuka, firstname.lastname@example.org.
We start the by course with four days of Number Theory and combinatorial games.
Then we study combinatorics for two days.
And we finish with a day or two of graph theory and relations.
Here's the 2004
Final Exam, with answers. We'll work some of these problems Friday morning.
Here's the 2005 Final Exam, and the 2005 Final Exam, with answers.
Here's the 2006 Final Exam, and the 2006 Final Exam, with solutions.
Here's the 2007 Final Exam, and the 2007 Final Exam, with solutions.
Here's a great list of references arranged chapter by chapter References. Anders Kaseorg devised the list and Drew Boyuka revised it. Thanks, Drew! Here's a reference on several discrete math topics provided by Bill Carey, a student in the workshop: Larry Bowen's Contemporary Mathematics.
The following is a pointer to the
lectures notes and homework exercises for the Discrete course I teach at UNCC.
It is especially appropriate for very strong students with an interest in
mathematics and computing:
Lecture notes and homework sets for the course
Other websites of interest:
Nim and other Puzzles/Games