ACADEMIC MINOR IN COMPLEX SYSTEMS

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 world’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)—new course (pending approval)
  • 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 CMPLXSYS 470/PHYSICS 470
CMPLXSYS 520/PHYSICS 580

CMPLXSYS 535/PHYSICS 508
CMPLXSYS 541/PHYSICS 541
EECS 492
EECS 587
EECS 598
ENGR 371/Math 371
HONORS 493
MATH 176

MATH 371/ENGR 371
MATH 463/BIOINF 463/BIOPHYS 463
MATH 471
PHYSICS 470/CMPLXSYS 470
PHYSICS 508/CMPLXSYS 535
PHYSICS 541/CMPLXSYS 541

PHYSICS 580/CMPLXSYS 520
Mathematical Modeling in biology
Nonlinear Dynamics
Empirical Analysis of
Nonlinear Systems
Network Theory
Physics of Complexity
Intro to AI
Parallel Computing
Algorithms for Robotics
Numerical Methods for Engineers & Scientists
Intro to Networks
Explorations in Topology and Analysis (Nonlinear Systems and Chaos)
Numerical Methods for Engineers & Scientists
Mathematical Modeling in Biology
Introduction to Numerical Methods
Experiments in Nonlinear Dynamics
Network Theory
Introduction to Nonlinear Dynamics and the
Physics of Complexity
Empirical Analysis of Nonlinear Systems

Section II: Social Science

CMPLXSYS 250
CMPLXSYS 260/SOC 260

EECS 594

HONORS 493

MATH 217
MATH 425/STATS 425
NRE 550
POLI SCI 598
POLI SCI 793

PSYCH 447

PUBPOL 513
SOC 260/CMPLXSYS 260

STATS 425/MATH 425
STRATEGY 566
Social Systems & Energy
Tipping Points, Bandwagons and Cascades: From Individual Behavior to Social Dynamics
Introduction to Adaptive Systems: Complexity & Emergence
College Honors Seminar: Complexity & Emergence
Linear Algebra
Introduction to Probability
Systems Thinking for Sustainable Development
Mathematics for Political Science
Methods Seminar: Advanced Modeling in Political Science
Current Topics in Cognition and Perception: Complexity & Emergence
Calculus for Social Scientists
Tipping Points, Bandwagons and Cascades: From Individual Behavior to Social Dynamics
Introduction to Probability
Systems Thinking for Sustainable Development

Section III: Biological Science

BIOINF 800
BIOINF 463/MATH 463/BIOPHYS 463
BIOPHYS 463/MATH 463/BIOINF 463
CMPLXSYS 430
CMPLXSYS 510/Math 550
EEB 315/ENVIRON 315
EEB 401

EEB 466/MATH 466
ENVIRON 315/EEB 315
MATH 463/BIOINF 463/BIOPHYS 463
MATH 466/EEB 466
MATH 550/CMPLXSYS 510
MATH 559

MICRBIOL 510
Special Topics: Computation and Neuroscience
Mathematical Modeling in Biology
Mathematical Modeling in Biology
Modeling Infectious Disease
Introduction to Adaptive Systems
Ecology & Evolution of Infectious Disease
Advanced Topics in Biology: Interrogating Data With Models
Mathematical Ecology
Ecology & Evolution of Infectious Diseases
Mathematical Modeling in Biology
Mathematical Ecology
Introduction to Adaptive Systems
Selected Topics in Applied Mathematics: Computation and Neuroscience
Mathematical Modeling for Infectious Diseases

Section IV: Theory & Methods

BIOINF 800
CMPLXSYS 501
CMPXSYS 520/Physics 580/MATH 552
CMPLXSYS 530
CMPLXSYS 531

EECS 594

HONORS 493

MATH 425/STATS 425
MATH 462
MATH 552/CMPLXSYS 520/
PHYSCIS 580
MATH 559

PHYSICS 580/CMPLXSYS 520/
MATH 552
PSYCH 447

STATS 425/MATH 425
Special Topics: Computation and Neuroscience
Basic Readings
Empirical Analysis of Nonlinear Systems
Computer Modeling of Complex Systems
Basic Computing Skills for Programming Agent-Based Models
Introduction to Adaptive Systems: Complexity & Emergence
College Honors Seminar: Complexity & Emergence and Introduction to Networks
Introduction to Probability
Mathematical Models
Empirical Analysis of Nonlinear Systems

Selected Topics in Mathematics: Computation and Neuroscience
Empirical Analysis of Nonlinear Systems

Current Topics in Cognition and Perception: Complexity & Emergence
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.