475syllfall07 - MATH 475 SYLLABUS, Fall Semester, 200708...

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Unformatted text preview: MATH 475 SYLLABUS, Fall Semester, 200708 Academic Year Lec. 1, TR 9:3010:45 AM, B105 Van Vleck Hall Prof. Richard A. Brualdi Text is: Office: 725 Van Vleck Hall Introductory Combinatorics 5th ed.NOTES, by R.A. Brualdi Tel: 262-3298; E-mail: brualdi@math.wisc.edu Office Hours: Mon (3:304:30PM), Tues. (3:004:00PM), Thur. (1:002:00PM) WWW: http://www.math.wisc.edu/brualdi I will be distributing pdf files of updated chapters of the above book. Copies of the 4edition of text are on reserve in the Math Library (level B2 of Van Vleck Hall) if you want to check some of your answers to the exercises. Course Description As the title Introduction to Combinatorics suggests, Math 475 is a first course with emphasis on the basics of combinatorial counting techniques, number sequences, patterns, and ordered sets. It is not however a course on what is traditionally called discrete mathematics. But we will discuss algorithms for some of the combinatorial problems considered. Briefly, the topics covered in the course this semester include: pigeon-hole principle and applications; permutations and combinations; generating permutations and combinations; properties of binomial coefficients (combination numbers); partial orders, equivalence rela- tions, and Dilworths theorem; the inclusion-exclusion principle; recurrence relations and generating functions; difference sequences, Catalan numbers, Stirling numbers, partition numbers, and other counting sequences; systems of distinct representatives (marriage theo-...
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475syllfall07 - MATH 475 SYLLABUS, Fall Semester, 200708...

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