CMPLXSYS 510/Math 550. Introduction to Adaptive Systems.
This is an introduction to population dynamics and evolutionary game theory, with a basis in nonlinear dynamical systems. Topics include general Lotka-Volterra systems, replicator dynamics, and the evolution of cooperation.
The course is suitable for theoretically and mathematically-minded science and engineering students. Applied mathematicians, statisticians, computer scientists, and engineers are especially welcome, as are students of biology, ecology, evolution, epidemiology, environmental sustainability, economics, social sciences, and bioinformatics with suitable math backgrounds.
Students should have the equivalent of four semesters of calculus (especially ordinary differential equations), a working knowledge of elementary linear algebra and probability, and computer literacy appropriate for mathematically-minded science and engineering students.