Sustainability has become a key issue in research and teaching at The University of Michigan. In Fall 2011, Math 550/CSC 510 will present a systems-based and in-depth examination of the mathematical foundations behind the sustainability of renewable (fish, forests, fauna) and nonrenewable (oil, gas, coal) resources. Since change, resilience to change, evolution, optimality, and trade-offs are central issues in sustainability, focal topics of this course will be the theory and applications of dynamical systems, optimal control theory and game theory. Our systems approach to sustainability will include quite a bit of ecology and economics. Students will use Excel spreadsheets for more complex computations.
Colin Clark: Mathematical Bioeconomics, THIRD EDITION (Wiley, 2010). Jon Conrad, Resource Economics. SECOND EDITION. (Cambridge, 2010). Lots of C-Tools Readings.
Two exams, a final and lots of homework.
Four semesters of calculus (especially familiarity with differential equations), or permission of instructor. There will be an optional 3-hour overview of the fundamentals of difference and differential equations Friday, September 9, 3-6pm. Students of ecology, economics, natural resources, bioengineering, and bioinformatics — with the appropriate math background — are especially welcome.
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