Modeling with Differential Equations

Differential equations in modeling evolution, contagion and learning processes. Ordinary differential equations: Existence and uniqueness of solutions; dependence on initial conditions. Numerical methods for solution. Dynamic systems: introduction to qualitative analysis of continuous and discrete autonomous systems, main diagnoses of bifurcations and chaos.

Basic Information

Workload
45 hours

Mandatory: 

  • Arnold, V. I. (2009). Ordinary Differential Equations. Phi Learning.
  • Chicone, C. C. (1999). Ordinary Differential Equations with Applications (1 ed.). Springer.
  • de Figueiredo, D. G., & Neves, A. F. (2010). Equações Diferenciais Aplicadas. Coleção Matemática Universitária. IMPA.
  • Nowak, M. A. (2006). Evolutionary Dynamics: Exploring The Equations Of Life. BellKnap Press.
  • Perko, L. (2006). Differential Equations and Dynamical Systems (3 ed.). Springer.
  • Zill, D. G. (2009). Equações Diferenciais com Aplicações em Modelagem. Cengage Learning.