Introduction to Combinatorics Math / Comp Sci / Stat 475 Fall 2013 Meetings: Van Vleck B115, MWF 12:05pm–12:55pm Lecturer: Robert Harron Email rharron at math.wisc.edu Office Van Vleck 319 Office Hours Tuesdays 1:25pm–2:25pm Fridays 12:55pm–1:55pm Course website: http://math.wisc.edu/˜rharron/teaching/math475/ Textbook: Richard A. Brualdi’s Introductory Combinatorics, Fifth Edition Official description: Problems of enumeration, distribution, and arrangement. Inclusion-exclusion principle. Generating functions and linear recurrence relations. Combinatorial identities. Graph coloring problems. Finite designs. Systems of distinct representatives and matching problems in graphs. Potential applications in the social, biological, and physical sciences. Puzzles. Problem solving. Assignments: There will be weekly assignments. Problems will be posted after each lecture, then bundled together and due at a specified time each week. Exams: There will be one midterm during class time and a final during the usual exam period: Midterm: Wednesday, Oct. 23, 12:05pm–12:25pm Final: Tuesday, Dec. 17, 7:45am–9:45am Check if you have a conflict with these, and if so, email me within the next week. Grading scheme: Homework 25% Midterm 25% Final 50% Remarks: • Reading ahead in the book is a simple way to keep up with class. Even if you dont understand as you’re reading, the feeling of familiarity during the lecture will be helpful. Still, try to see if you can understand, or work out some of the examples. • Calculators will not be allowed during exams. Getting help: If you are having trouble with the course, or even if there are just some questions you would like to ask, it is important that you do so. Math is a subject that constantly builds on what has come before, so your problems can quickly snowball. Please talk to me if you have any questions, either after class time or stop by my office hours. Or better yet, ask your questions in class!