NCSSM COURSE CAtAlOG - North Carolina School of Science and ...

methods of generating functions, recursive equations, and economic game
theory. Strong interest and talent in mathematics are required.
MA466 Graph Theory and Networks
One trimester
Credit: One unit core mathematics or core elective credit.
Prerequisite: Permission of the Dean of Mathematics.
Meeting pattern: Four periods per week.
This is a college-level mathematics course that introduces students to some of
the major topics in discrete mathematics. The theory and applications of planar
graphs, graph colorings, trees and path optimization, and networks are studied.
The course places an emphasis on developing valid mathematical arguments.
Strong interest and talent in mathematics are required.
MA468 Structure and Dynamics of Modern Networks
One trimester
Credit: One unit core mathematics or core elective credit.
Prerequisite: MA458 Introduction to Complex Systems and permission of the
Dean of Mathematics.
Meeting pattern: Four periods per week including lab.
In the past ten years, a new area in science and mathematics has arisen. The
science of networks is the science of the real world – the world of people,
friendships, disease, firms, and financial crisis. We are connected in a small
world with six degrees of separation, and this fact must affect our understanding
of the world. Unlike calculus, this new area of mathematics is not yet complete.
Though it has just begun to be developed, the way it is changing how we model
the world and the mathematical tools we need is startling. This course
investigates the mathematics of networks and systems. We consider the
mathematical bases for social networks, computer networks, biological
networks, economic networks, and small world networks and their applications.
The course requires reading original sources and modern research.
MA470 Mathematical Modeling
One trimester
Credit: One unit core mathematics or core elective credit.
Prerequisite: Senior standing and permission of the Dean of Mathematics.
Corequisite: MA430 AP Calculus BC (Advanced Topics I).
Meeting pattern: Four periods per week including lab.
Senior students with advanced mathematical knowledge are introduced to the
creative and analytic aspects of modeling real-world phenomena. Models from
engineering, biology, political science, management science, and everyday life
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