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# Academic Minor

The Center for the Study of Complex Systems is pleased to announce a new undergraduate academic minor in Complex Systems effective Fall 2010. Students who wish to enroll can do so on Wolverine Access.

### General Information

Over the past twenty years, the ideas and methodologies that underpin the science of complex systems have gained a foothold in the research agendas of many of the worldâ€™s leading universities. This trend can be explained by the resonance of the complexity paradigm and its focus on core concepts of networks, nonlinear interdependence, adaptation, and diversity to current scientific and social challenges and opportunities. These include climate change, epidemics, ecosystem and financial system robustness, genetic engineering, sustainability science, health sciences and ethnic conflict.

Academic research on nonlinear systems, networks, evolutionary and adaptive systems, emergence, and diversity using mathematics, agent based models, and numerical computation increases with each passing day at think tanks, universities, and laboratories. Most leading graduate programs in physical, biological, and social sciences now include courses that fall under the rubric of complexity science. Many of these courses involve agent based modeling and numerical analysis. At the same time, government and private sector demand for students with skills in modeling, understanding of systems level thinking, and deep understandings of the roles of networks and diversity grows.

The Academic Minor in Complex Systems is designed to give students an understanding of the basic concepts of complexity science and to learn how those concepts can be applied within a functional area. It provides an opportunity for concentrators in other departments to take a coherent curriculum in complexity and modeling that complements their major field of study. This minor requires foundational courses in complex systems theory and modeling. Students are encouraged to attend research seminars and workshops hosted by CSCS. This will provide an opportunity for undergraduates to engage intellectually with students and faculty from a range of fields.

Declaration form for LSA Minor

### Prerequisites

No formal prerequisites but students who have not taken calculus may find some of the courses difficult. Therefore, previous experience with calculus is strongly recommended.

### Program Requirements

Students are required to elect 15 credits (5 courses) including upper-level courses in Complex Systems within one of four areas of focus: (1) Social Sciences, (2) Biological Science, (3) Physical Science and Engineering or (4) Complex Systems Theory and Methods.

LSA Bulletin for Academic Minor

### A. Core Courses (Take 2 of 4)

We require students to take at least one of the modeling courses so they develop the skills necessary for the upper-level classes.

- CMPLXSYS 270/Intro to Agent-Based Modeling (ABM)
- CMPLXSYS 291/Poli Sci 391 Intro to Modeling
- CMPLXSYS 501 Basic Readings in Complex Systems
- CMPLXSYS 511 Theory of Complex Systems

### Elective Courses

Students must take 2 courses from one section and 1 course from another section. The final course can be from this list or a course not on this list as long as it is approved by the CSCS Director. Additional courses will be added to this list as needed.

Additional cross-cutting courses such as Math 295 Honors Mathematics I can also be taken as an elective and will count for any of the four areas, with approval from the CSCS Director.

### Section I: Physical Science & Engineering

BIOINF 463/Math 463/BIOPHYS453 | Mathematical Modeling in biology |

CMPLXSYS 470/PHYSICS 470 | Nonlinear Dynamics |

CMPLXSYS 520/PHYSICS 580 | Empirical Analysis of Nonlinear Systems |

CMPLXSYS 535/PHYSICS 508 | Network Theory |

CMPLXSYS 541/PHYSICS 541 | Physics of Complexity |

EECS 492 | Intro to AI |

EECS 587 | Parallel Computing |

EECS 598 | Algorithms for Robotics |

ENGR 371/Math 371 | Numerical Methods for Engineers & Scientists |

HONORS 493 | Intro to Networks |

MATH 176 | Explorations in Topology and Analysis (Nonlinear Systems and Chaos) |

MATH 371/ENGR 371 | Numerical Methods for Engineers & Scientists |

MATH 463/BIOINF 463/BIOPHYS 463 | Mathematical Modeling in Biology |

MATH 471 | Introduction to Numerical Methods |

PHYSICS 470/CMPLXSYS 470 | Experiments in Nonlinear Dynamics |

PHYSICS 508/CMPLXSYS 535 | Network Theory |

PHYSICS 541/CMPLXSYS 541 | Introduction to Nonlinear Dynamics and the Physics of Complexity |

PHYSICS 580/CMPLXSYS 520 | Empirical Analysis of Nonlinear Systems |

### Section II: Social Science

CMPLXSYS 250 | Social Systems & Energy |

CMPLXSYS 260/SOC 260 | Tipping Points, Bandwagons and Cascades: From Individual Behavior to Social Dynamics |

EECS 594 | Introduction to Adaptive Systems: Complexity & Emergence |

HONORS 493 | College Honors Seminar: Complexity & Emergence |

MATH 217 | Linear Algebra |

MATH 425/STATS 425 | Introduction to Probability |

NRE 550 | Systems Thinking for Sustainable Development |

POLI SCI 598 | Mathematics for Political Science |

POLI SCI 793 | Methods Seminar: Advanced Modeling in Political Science |

PSYCH 447 | Current Topics in Cognition and Perception: Complexity & Emergence |

PUBPOL 513 | Calculus for Social Scientists |

SOC 260/CMPLXSYS 260 | Tipping Points, Bandwagons and Cascades: From Individual Behavior to Social Dynamics |

STATS 425/MATH 425 | Introduction to Probability |

STRATEGY 566 | Systems Thinking for Sustainable Development |

### Section III: Biological Science

BIOINF 800 | Special Topics: Computation and Neuroscience |

BIOINF 463/MATH 463/BIOPHYS 463 | Mathematical Modeling in Biology |

BIOPHYS 463/MATH 463/BIOINF 463 | Mathematical Modeling in Biology |

CMPLXSYS 430 | Modeling Infectious Disease |

CMPLXSYS 510/Math 550 | Introduction to Adaptive Systems |

EEB 315/ENVIRON 315 | Ecology & Evolution of Infectious Disease |

EEB 401 | Advanced Topics in Biology: Interrogating Data With Models |

EEB 466/MATH 466 | Mathematical Ecology |

ENVIRON 315/EEB 315 | Ecology & Evolution of Infectious Diseases |

MATH 463/BIOINF 463/BIOPHYS 463 | Mathematical Modeling in Biology |

MATH 466/EEB 466 | Mathematical Ecology |

MATH 550/CMPLXSYS 510 | Introduction to Adaptive Systems |

MATH 559 | Selected Topics in Applied Mathematics: Computation and Neuroscience |

MICRBIOL 510 | Mathematical Modeling for Infectious Diseases |

### Section IV: Theory & Methods

BIOINF 800 | Special Topics: Computation and Neuroscience |

CMPLXSYS 501 | Basic Readings |

CMPXSYS 520/Physics 580/MATH 552 | Empirical Analysis of Nonlinear Systems |

CMPLXSYS 530 | Computer Modeling of Complex Systems |

CMPLXSYS 531 | Basic Computing Skills for Programming Agent-Based Models |

EECS 594 | Introduction to Adaptive Systems: Complexity & Emergence |

HONORS 493 | College Honors Seminar: Complexity & Emergence and Introduction to Networks |

MATH 425/STATS 425 | Introduction to Probability |

MATH 462 | Mathematical Models |

MATH 552/CMPLXSYS 520/ | Empirical Analysis of Nonlinear Systems |

PHYSICS 580 | |

MATH 559 | Selected Topics in Mathematics: Computation and Neuroscience |

PHYSICS 580/CMPLXSYS 520/ | Empirical Analysis of Nonlinear Systems |

MATH 552 | |

PSYCH 447 | Current Topics in Cognition and Perception: Complexity & Emergence |

STATS 425/MATH 425 | Introduction to Probability |

### Advising

The CSCS Director and core faculty will serve as advisors to students. The CSCS Key Administrator, Mita Gibson, will be the initial point of contact. Students who wish to enroll in the minor must first declare their major and then contact the CSCS office.