This course develops the more advanced mathematical tools necessary for an in-depth analysis of dynamic models. Topics include first order differential equations, first order systems, linear systems, nonlinear systems and numerical methods.
- Demonstrate their ability to use the appropriate techniques and tools from differential equations to provide exact and qualitative solutions for problems arising in physics, science and engineering applications.
- Demonstrate their ability to write coherent mathematical and scientific arguments needed in solving differential equations and related application problems.
- Demonstrate their understanding of how natural laws are described by differential equations and dynamical systems.
- Solve problems in ordinary differential equations, dynamical systems, stability theory and a number of applications to scientific and engineering problems.