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Note: For descriptions of classes each term, see the LSA Course Guide
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Courses in LSA Complex Systems
Complex Systems (CMPLXSYS)
CMPLXSYS 250 / ENVIRON 250 / PUBPOL 250. Social Systems, Energy, and Public Policy
(3). (QR/1). May not be repeated for credit.

This course introduces global energy problems from the perspectives of how energytechnologies shape and are shaped by choices people make as individuals, as members of groups, and as members of society at large. We will examine the present and historical cultural, economic, and political contexts out of which today's energy choices and public policies emerged and how these choices and policies are constrained by fundamental scientific principles.

CMPLXSYS 260 / SOC 260. Tipping Points, Bandwagons and Cascades: From Individual Behavior to Social Dynamics
(3). May not be repeated for credit.

In this class, we examine how interdependent behaviors of individuals can lead to some surprising and unexpected social outcomes. We will explore both theoretical models and empirical applications of social dynamics, including sexual networks and marriage markets, the formation and transformation of neighborhoods, the success or failure of social movements, and the diffusion of innovation.

CMPLXSYS 270. Agent-Based Modeling
(3). May not be repeated for credit. Only 2 credits earned by students enrolled in or having completed CMPLXSYS 200.

Many systems can be modeled as being composed of agents interacting with one another and their environment. Very simple rules governing agent behavior can lead to complex and emergent phenomena. In this course students will use NetLogo to examine well-studied agent based models of complex systems in the social and biological sciences, as well as formulate models of their own.

CMPLXSYS 391 / POLSCI 391. Introduction to Modeling Political Processes
One course in Political Science. (4). (SS). (QR/1). May not be repeated for credit.

An introduction to constructing, manipulating, and evaluating logical and mathematical models of social and political processes. Topics to be considered may include rational choice, game theory, learning processes and exchange processes.

CMPLXSYS 399. Independent Study-Directed Readings
Consent of instructor required. (1 - 3; 2 in the half-term). May be repeated for a maximum of 6 credits. May be elected more than once in the same term.

Directed readings or research in consultation with a member of the faculty of the Center for the Study of Complex Systems.

CMPLXSYS 425. Evolution in Silico
MATH 115; Comfort with Probability/Statistics; and Proficiency with Programming (e.g., CMPLXSYS 270 or MATH 463/BIOPHYS 463 or CMPLXSYS 391 or CMPLXSYS 530, etc.). (3). May not be repeated for credit.

While every population of living organisms is evolving, not everything that evolves is alive. Nature's success at finding innovative solutions to complex problems has inspired many computational implementations of the evolutionary process. Some of the various implementations we will learn about with hands-on exercises include approaches for solving optimization problems, building controllers and/or bodies for robots, and using computational instances of Darwinian evolution to study fundamental questions in biology.

CMPLXSYS 430 / EEB 430. Modeling Infectious Diseases
Consent of instructor required. MATH 115 or 120. (3). (BS). (QR/2). May not be repeated for credit. Rackham credit requires additional work.

Understanding the spread, evolution and control of infectious diseases requires integrating processes that occur at many scales: infection and pathogenesis within a host, transmission among hosts and long-term evolutionary forces. Mathematical and computational models provide a unique perspective for understanding disease dynamics at these scales individually, but also within an integrated framework. By combining lectures and computer labs, we formulate and analyze various models relating to infectious disease biology, with particular attention to their management control.

CMPLXSYS 489. Advanced Topics in Complex Systems
Advanced standing. Technical prerequisites vary with topic. (3). May be elected three times for credit. Rackham credit requires additional work.

This course covers a broad range of advanced topics relevant to the study of complex systems. Topics include evolutionary systems, self-organizing criticality, measures of complexity, collective intelligence, approaches to modeling complex adaptive systems and emergence.

CMPLXSYS 511. Theory of Complex Systems
(3). (BS). May not be repeated for credit.

This course is a math-based introduction to the theory and analysis of complex systems. Methods covered will include nonlinear dynamics, both discrete and continuous, chaos theory, stochastic processes, game theory, criticality and fractals, and numerical methods. Examples studies will include population dynamics, evolutionary theory, genetic algorithms, epidemiology, simple models of markets, opinion formation models, and cellular automata.

CMPLXSYS 541 / PHYSICS 413. Introduction to Nonlinear Dynamics and the Physics of Complexity
PHYSICS 401 or Graduate Standing. (Prerequisites enforced at registration.) An intermediate mechanics course (such as PHYSICS 401) and/or a course in introductory differential equations. (3). (BS). May not be repeated for credit. F.

An introduction to nonlinear science with an elementary treatment from the point of view of the physics of chaos and fractal growth.

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