MATH 5365, Fall 2008 — Graph Theory

MWF 12:00 – 12:50, LSBE  165

 

Instructor:      Dr. Dalibor Froncek

Office:             SCC 170  

Phone:             7958

e-mail:             dfroncek(a)d.umn.edu where (a)@@

Web Page:      http://www.d.umn.edu/~dfroncek/

Office Hours: M 1:00 – 2:00, W 3:00 – 4:00, F 1:00 – 2:00 and by appointment

 

Textbook: First Look at Graph Theory by John Clark and Derek Allan Holton, ISBN: 9810204906

 

Course Content and Goals:

This course should really be called An Advanced Introduction to Structural Proofs via Graph Theory. Rather than learning many facts and memorizing definitions and theorems, we will learn how to prove simple (and not-so-simple) theorems that deal more with objects and their structure than with what you have seen so far in other math classes, unless you already took some discrete math proof based course.

 

This is not a course where you would learn many algorithms or applications. It is intended to enhance your general mathematical thinking and reasoning, to learn how to work in groups on simple research projects, and how to present them effectively in writing.

 

Assignments:

There will be assignments from almost every class. Problems assigned between Monday and Friday will be posted on the web and are due on the following Wednesday class except for the weeks when there is a test. There will be NO make-up assignments; however, the lowest assignment score will be dropped. An assignment is assumed to be your own work! Therefore, you can collaborate with other people when preparing for the assignment, but you have to work alone when you are actually doing it. Also, you cannot use any kind of solutions to assigned problems that can be found in manuals, on Internet, or elsewhere.

 

Additional homework:

There will be homework exercises from almost every class. The problems will be posted on the web but are not to be turned in.

 

Tests:

There will be three tests. Tentative dates are weeks 4/5, 10, 14/15. The material to be covered in the tests will be announced in class. The tests can be open book and/or take home or a (group) project. Typically, Test 1 is a 2 hour in-class test, Test 2 is a “Perfect Proof”, and Test 3 is a take-home test. In-class tests may be given at evening time periods to give you extra time for completing the test without too much stress.

Missing an exam is a serious matter. In order to schedule a make-up exam, you must have a written medical excuse. Let me know of your absence before the exam takes place.

 

Final Exam:

The Final Exam can be either a cumulative one or a project. It can be either in class or take home. This will be determined by December 1. Most likely it will be a group research project. It will be due on the date of the scheduled final exam on Friday, December 19.

 

 

Grading:

Your grade in this course will be based on:

Tests                = 60% (20% each)

Assignments     = 20%

Final Exam        = 20%

Bonus points (details in class)

 

Graduate and undergraduate students will be evaluated equally. There will be no difference in assignments, tests, final exam, or the grading scale.

 

Grading scale:

Your grade in this course will be determined as follows:

 

91–100  A

86–90    A–

 

81–85    B+

76–80    B

71–75    B–

 

66–70    C+

61–65    C

56–60    C–

 

50–55    D

 

below 50 F

 

 

Special Needs:

I am happy to provide appropriate and fair accommodations for students with documented special needs —such students must meet with me early in the semester to make arrangements.

 

Cell Phones:

Cellular telephones and other communication devices are prohibited during quizzes and exams. Having any communicating device out during an exam will be considered cheating and result in an immediate zero. Also note it is discourteous and a distraction to have ringing phones during class time. If you do not turn off your ringer you may be asked to leave the room.

 

Pictures and videos:

Photographs and video cannot be taken without prior instructor’s consent. If a verbal consent is given, they cannot be made public (e.g., on internet) without written consent of instructor and UMD administration.

 

Policies:

All students at the UMD must be in compliance with the student conduct code in the policies and procedures section of the 2005-2007 University Catalog, specifically in this course with regards to scholastic dishonesty. Academic integrity is of utmost importance and all procedures and sanctions will be followed as per the university catalog.

 

The University of Minnesota is committed to the policy that all persons shall have equal access to its programs, facilities and employment without regard to race, religion, color, sex, national origin, handicap, age, veteran status or sexual orientation.

 

Academic Dishonesty—Prohibited Conduct:

 All forms of academic dishonesty are prohibited, including (but not limited to):

1.          submission of false records of academic achievement

2.          cheating on assignments or examinations

3.          submitting sentences or ideas as your own without proper acknowledgment or citation (plagiarizing)

4.          altering, forging, or misusing a University academic record or forging the signa­ture of any member of the University community

5.          taking, acquiring, using, or circulating test materials without faculty permission

6.          acting alone or in cooperation with another to falsify records or to obtain dishonestly grades, honors, awards, or professional endorsement

7.          facilitating academic dishonesty by helping another student to violate the academic integrity policy, such as providing course work for another student to turn in as his or her own effort or taking an exam for another student

8.          presenting as one’s own a plot, succession of ideas, or list/outline of another without proper acknowledgment

9.          attending a class, completing an assignment, or taking a quiz/test in the name of another student

10.      copying, editing, using, or deleting computer files without permission

11.      altering or viewing computer records, dispensing or releasing information gained via unauthorized access, modifying computer programs or systems, or interfering with the use or availability of computer systems or information

12.      bribing or attempting to bribe, promising favors, or making threats with the intention of affecting a grade, a record, or an evalua­tion of academic performance

13.      purchasing or otherwise presenting work as your own when it was done by another person

14.      submitting the same paper or generally similar papers to meet the requirements of more than one course without the approval and consent of all faculty members of all such courses

15.      depriving another student of necessary study or research materials or in any way impeding another student’s work and pursuit of education

16.      submitting falsified data, such as bibliographic resources and experimental data or altering graded academic work/quizzes/tests and re­submitting them in order to get a higher grade (fabrication)

17.      intentional use, misuse, or alterations of University materials or resources in an attempt to make them inaccessible to others (e.g., altering passwords, unauthorized use of computer accounts, violation of library procedures, inten­tional misuse or destruction of educa­tional materials)