2022-23 Undergraduate Catalog 
    
    Dec 04, 2024  
2022-23 Undergraduate Catalog [Archived Catalog]

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MAT 331 - Combinatorics and Graph Theory

Basic counting principles, arrangements and selections, distributions, generating functions, recurrence relations, inclusion/exclusion, basic graph theory, Euler and Hamilton circuits, graph coloring. Prerequisite: a grade of C- or better in MAT 224. (3 cr. hr.)
Frequency code O = offered occasionally

Student Learning Outcomes
Upon successful completion of this course, students will be able to:

  1. Count the number of ways to arrange and select objects, and compute discrete probabilities.
  2. Use counting arguments to prove identities.
  3. Formulate generating functions and use them to solve recurrence relations.
  4. Analyze and provide examples of graphs with certain properties regarding connectivity, coloring, or planarity.
  5. Employ common algorithms to find Euler circuits, Hamilton circuits, and minimal spanning trees.



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