ENVS 079. Modeling

(Cross-listed as MATH 056)
An introduction to the formulation and analysis of mathematical models. This course will present a general framework for the development of discrete, continuous, and graphical models of diverse phenomena. Principles of modeling will be drawn from kinetics, population dynamics, traffic flow, diffusion, continuum mechanics, cellular automata, and network science. Mathematical techniques for understanding models will be emphasized, including dimensional analysis, phase plane diagrams, stability analysis, bifurcation theory, conservation laws, steady-state solutions, and computer simulation. Specific applications from chemistry, biology, physics, engineering, and neuroscience will be discussed. A primary goal of this course is to give insights into the connections between mathematics and real-world problems, allowing students to apply the course concepts to applications that excite them.
Prerequisite: A grade of C or better in MATH 027 or MATH 028; in one of MATH 034 or MATH 035; and in MATH 043 or MATH 044; or permission of the instructor.

Natural sciences and engineering.
1 credit.
Eligible for ENVS, COGS
Catalog chapter: Environmental Studies
Department website: http://www.swarthmore.edu/environmental-studies

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