Course Section 1 Content Section 1 Content Left Section 1 Content Right Credit Type: Course ACE ID: NNCS-0675 Version: 3 Organization's ID: MATH4335 Organization: National Cryptologic University Location: Hybrid Length: 16 weeks (48 hours) Minimum Passing Score: 80 ACE Credit Recommendation Period: 5/1/2024 - 4/30/2027 5/1/2021 - 4/30/2024 11/1/2017 - 4/30/2021 10/1/2013 - 9/30/2016 Credit Recommendation & Competencies Section 2 Content Section 2 Content Left Section 2 Content Right Level Credits (SH) Subject Graduate 3 Applied Combinatorics in Mathematics In the graduate degree category, 3 semester hours in applied combinatorics in mathematics. Description Section 3 Content Section 3 Content Left Section 3 Content Right Objective: The course objective is to introduce cryptomathematicians 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: apply the basic concepts of graph theory 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 General Topics: Enumeration Recurrence Generating functions Inversion Graph theory Combinatorial optimization Designs Instruction & Assessment Section 4 Content Section 4 Content Left Section 4 Content Right Instructional Strategies: Classroom Exercise Learner Presentations Lectures Practical Exercises Methods of Assessment: Other Presentations exercise sets Supplemental Materials Section 5 Content Section 5 Content Left Section 5 Content Right Equivalencies Section 6 Content Section 6 Content Left Section 6 Content Right Button Content Rail Content 1 Other offerings from National Cryptologic University View All Courses College Credit Opportunities Page Content