Introduction to Combinatorics

Homework Assignments
Announcements and Schedule

General Information

Overview Textbook Instructor
Scheduled Lectures Homework Policy Exam Schedule
Grades Honor Principle Disabilities


Math 28 is a course in combinatorial mathematics. This year the course is being taught as a "guided discovery" course. This means that the primary text for the course is a set of problems with just enough prose so that the problems will make sense. It is available at the course web page in the form of course notes. By working these problems, students will discover for themselves the main theorems of combinatorial mathematics (and their proofs) and examples of how these theorems are used. Students are encouraged to work together on the problems. Students are expected to work as many of the problems as they can and submit them. Certain problems will be designated each week in advance as "mandatory" problems. These problems will be graded and returned to the student.

Class time will be devoted largely to a discussion of the problems and the broad themes in combinatorial mathematics that the problems illustrate. This discussion will be split between whole class discussion, including possible student presentations of their ideas, and small group discussions. Students will be graded on class participation. Unfortunately, coming late to class may disrupt small group discussions, and so this will have to be reflected in the class participation grades of students who habitually come late to class. Of course it is difficult to participate if one does not come to class at all, and so habitual absence will also be reflected in the class participation grade.

I hope the following quote will inspire you to participate in this course.

"Mathematics is not for spectators; in order to gain in understanding, confidence, and enthusiasm one has to participate." M.A. Armstrong



Scheduled Lectures

Professor Rosa Orellana
Office: 305 Bradley Hall
Office Hours
MWF 1:30-3:00
By Appointment
Phone: 646 - 2430
Blitzmail: Rosa.C.Orellana at Dartmouth dot edu (preferred)
I encourage you to come to my office to discuss homework problems (yes, you can come before the homework is due), things that you don't understand in the course, opportunities for an REU (Research Experience for undergraduates) or if you are wondering what course to take next and need a little guidance.

Exam Date and Time Room
Midterm 1 Wednesday, January 22 at 5:00 PM TBA
Midterm 2 Wedneday, February 19 at 5:00 PM TBA
Final Monday, March 10 at 8:00 AM Bradley 103

 Please, do not make plans to leave Hanover before the exam.

Homework Policy and Guidelines
If you do not follow this guidelines, your homework will be returned to you ungraded.


The course grade will be based upon the scores on the homework, two exams, participation (this means attending class as well as asking and responding to questions), and the final exam.
Exams (2) 15% (each)
Homework 40%
Participation 10%
Final Exam 20% 

The Honor Principle

On Exams: No help given or received from anyone. You may not use books or notes during in-class exams. For take-home exams you can use your class notes only.

On Homework: Collaboration is permitted and encouraged, but NO COPYING . In other words, you should feel free to talk to other students while you are in the process of thinking about a problem. However, when it comes time to write up your solutions, you should do this by yourself without outside assistance.


Any student with a documented disability needing academic adjustments or accommodations is requested to speak with the instructor by January 17. All discussions will remain confidential, although the Academic Skills Center may be consulted to verify the documentation of the disability. Students who think they may have a disability but are not sure are encouraged to consult with the Academic Skills Center in Collis Center to register for support services.

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