Course

Course Summary

Credit Type:

Course

ACE ID:

NNCS-0675

Organization's ID:

MATH4335

Organization:

National Cryptologic University

Location:

Hybrid

Length:

16 weeks/ 48 hours

Dates Offered:

Credit Recommendation & Competencies

Level	Credits (SH)	Subject
Upper-Division Baccalaureate	3	Applied Combinatorial Mathematics

Description

Objective:

The course objective is to introduce crypto mathematicians to enumeration, generating functions and recursions, random mappings, permutations, and Mobius inversion in partially ordered sets with applications. Selected topics in graph theory block designs, and combinatorial algorithms will also be introduced.

Learning Outcomes:

design and apply various algorithmic approaches for combinatorial optimization;
construct optimal algorithms for various well-known problems;
formulate and validate various methods of enumeration;
analyze and apply generating functions and recurrence relations;
test application of appropriate inversion techniques;
research, formulate and defend presented research on synthesized combinatorial topic.
apply the basic concepts of graph theory;