Advanced Differential Equations. 3 credits

Catalog description

Qualitative approaches to the study of ODEs. Eigenvalues, eigenvectors and the solution of linear systems of equations. Phase lines and phase planes. Nonlinear ODEs. Linearization, stability and classification of equilibrium. Hamiltonian, gradient and conservative systems. Bifurcations in planar systems. Illustration of concepts using models from physics, biology, chemistry, and ecology. Offered by Mathematics . Limited to three attempts.