LEARN MORE
Qualitative differential equations

TEACHING TEAM
Content
Course description
The main aim of this course is to develop a geometric point of view to the solutions of an ordinary differential equation (ODE) and then use this geometric point of view to analyze properties of the solutions of ODEs.
The motivation to study ODEs arises from the fact that ODEs form the backbone of models for dynamical systems that describe the evolution of variables characterizing a system in the course of time. These dynamical systems can be found in physics, chemistry, biology, economics etc.
See also the course page which includes the slides, problem sheets and lecture notes.
Materials
References
References
The guiding text for the course is:
Luis Barreira and Claudia Valls. Ordinary Differential Equations: Qualitative Theory. Graduate Studies in Mathematics series vol 137. AMS. 2012.
Other useful texts are:
Morris Hirsch, Stephen Smale, Robert Devaney. Differential Equations, Dynamical Systems, and an Introduction to Chaos, Academic Press, 2003
James D. Meiss. Differential Dynamical Systems, SIAM, 2007
Paul Blanchard, Robert L. Devaney, Glen R. Hall. Differential Equations, 3rd Edition (includes CD-ROM),2006
LEARN MORE ABOUT
INTERNATIONAL MATHEMATICS MASTER
ADMISSIONS
Applicants Are Divided Into Two Groups: "International Applicants" Who Have Foreign Citizenship And "Pakistani Applicants" Who Either Hold Pakistani Citizenship, Have Dual Citizenship, Or Are Pakistanis Residing Outside The Country.