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MATH 3U03

COMBINATORICS

Undergraduate

Fall 2026 · C01

Readings

  • How To Count: An Introduction To Combinatorics And Its Applications
    Beeler · Required
    ISBN 9783319355085
Fall 2026 · C01

Topics

  • Preliminaries: Sets, functions, Pigeonhole Principle, Combinatorial proofs (Chapter 1)
  • Basic Counting: Addition and Multiplication Principles, permutations, Stirling numbers of the First Kind and their applications (Chapter 2)
  • Binomial Coefficient: identities, stars and bars, multinomial coefficient, and applications (Chapter 3)
  • Distribution problems and Stirling numbers of the second kind (Chapter 4)
  • Generating functions (Chapter 5)
  • Methods for recurrence relations (Chapter 6) and Principle of Inclusion-Exclusion (Chapter 7)
  • Time permitting some applications to Combinatorial Design and Graph Theory (Chapters 10 and 11)

Readings

  • How to Count An Introduction to Combinatorics and Its Applications
    Robert A. Beeler · 2016-10-29 · 1 · Required
    Springer International Publishing · ISBN 9783319355085
  • How to Count An Introduction to Combinatorics and Its Applications ISBN: 9783319355085 Authors: Robert A. Beeler Publisher: Springer International Publishing Publication Date: 2016-10-29 Edition: 1 Available online through the McMaster library.
    See source
Winter (schedule dates) 2017

Topics

  • Counting principles
  • Generating functions
  • Recurrence relations
  • Block designs
  • Steiner triple systems

Readings

  • How to Count
    Robert Beeler · unspecified
Sources