Difference between revisions of "Math 450: Combinatorics"
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Contents
Catalog Information
Title
Combinatorics.
(Credit Hours:Lecture Hours:Lab Hours)
(3:3:0)
Offered
Winter
Prerequisite
Description
Permutations, combinations, recurrence relations, applications. Students will learn the basics of combinatorics and its relation to the other areas of mathematics, including algebra and analysis.
Desired Learning Outcomes
Prerequisites
Math 371.
Minimal learning outcomes
Permutations and combinations basics, including the Pigeonhole Principle, binomial coefficients and the Binomial Theorem, Stirling's Approximation, Inclusion/exclusion, Generating functions and recurrence relations (rational functions), Groups, permutations and counting problems  Polya's Theorem
Textbooks
Possible textbooks for this course include (but are not limited to):
 Chapters 59 of Alan Tucker's Applied Combinatorics, John Wiley & Sons, Inc., 2002.
 Chapters 14 of Russell Merris' Combinatorics, 2nd edition, John Wiley & Sons, Inc., 2003.
 Richard A. Brualdi, Introductory Combinatorics (5th Edition), Prentice Hall, 2010.
Additional topics
Possibly Ramsey theory