Combinatorics MATH 525 Spring 2016 TR 2:00–3:15 Harris 4145 SYLLABUS Virginia Commonwealth University

 INSTRUCTOR: Richard Hammack Office: Harris Hall 4166 Work: 804-828-6237 Office hours: Home: 804-355-3963 Tuesday, Thursday 9:30–10:30, Wednesday, 12:00–1:30 E-mail: rhammack@vcu.edu and by appointment. Web page: www.people.vcu.edu/~rhammack/ Course web page: www.people.vcu.edu/~rhammack/Math525/

 PREREQUISITES: Math 300 or MATH 211
 TEXTBOOK: Introductory Combinatorics, Third Edition, by Richard Brualdi, ISBN: 0-13-181488-5 Combinatorics is the mathematics of counting and enumeration. It is typically concerned with finite or discrete mathematical structures (unlike calculus, which deals with the infinite). This class is an introduction to some of the main ideas of combinatorics: counting methods, binomial theorems, permutations and combinations, recurrence relations, generating functions, and basic graph theory. This course assumes that you have a solid working knowledge of the topics in VCU's MATH 300, including sets, set operations, logic, methods of proof (including induction), methods of disproof, relations and functions. Your grade will be determined by two tests, weekly homework assignments and a final exam. Details follow.

The 10-point grading scale is used:

 A: 90–100 B: 80–89 C: 70–79 D: 60–69 F: 0–59
Your final average will be computed as follows:

 Test 1: 25% Test 2: 25% Homework: 25% Final Exam grade: 25% Total: 100%

 COURSE POLICIES: Attendance: Attendance is not taken. You are responsible for all material covered in class. Etiquette: Put away all phones for the entire duration of class. Please do not text in class or leave to take a call. You are expected to be connected with the course and course material. All devices not related to coursework (iPods, laptops, etc.) are to be turned off and put away for the entire duration of class. Make-up work: A make-up test can be arranged in the event of a documented illness or emergency. The final exam cannot be given early. If you miss the final exam because of a documented illness or emergency, then I can give you a grade of incomplete (I) for the course and you will have to make up the final exam by the date set by the University. Honor System: Any instance of cheating on tests and exams is considered an honor offence and is dealt with according to University policy. You are expected to work lots of extra problems for practice. LAST DAY TO WITHDRAW: Friday March 25