Lectures
Tuesday 10:50-11:50
Friday 12:00-13:00
Tutorials
Monday 8:30-9:30
Weekly homework problems will be uploaded here.
Course contents
Linear ODEs of first and second order.
Linear systems of ODEs, planar linear systems, phase portraits for planar systems, higher-dimensional linear systems, stability theory, nonautonomous linear systems
Nonlinear systems of ODEs, existence and uniqueness theorem, continuous dependence of solutions, linearization, stability theory, gradient and Hamiltonian systems, closed orbits and limit sets, the Poincare map, Poincare-Bendixson theorem
References
1. E. A. Coddington, An introduction to ordinary differential equations
2. M. W. Hirsch, S. Smale, R. L. Devaney, Differential equations, dynamical systems, and an introduction to chaos
3. A.K. Nandakumaran, P. S. Datti, R. K. George, Ordinary differential equations
4. L. Perko, Differential equations and dynamical systems
5. G. F. Simmons, Differential equations with applications and historical notes
Evaluation
End-sem 30%
Mid-sem 30%
Quizzes 40%