Winter 2025 Term

The purpose of the AARMS Advanced Course program is to give graduate students and upper year undergraduates from AARMS Member Universities an opportunity to take courses not offered at their home institution free of charge. In Winter 2025, the courses listed below will be offered in an exclusively online format.

Students may be able to claim credit for AARMS Advanced Courses from their home institution using mechanisms similar to the AARMS Summer School. Students hoping to receive academic credit for courses in this program are strongly encouraged to consult with their home institution about this process before the start of lectures.

Both students and instructors should consult the frequently asked questions.  Please send any addition questions about this program to Andrew Irwin.

Important dates

  • January 9, 2025: Application opens for AARMS Advanced courses (applications will be accepted on a rolling basis)
  • January 22, 2025: Last deadline for students to join the class;

Registration

To register for an AARMS Advanced Course in Winter 2025 please contact the instructor directly.  Send a statement of interest to the instructor listed below indicating why you wish to take the class and listing previous courses in linear algebra and differential equations.

Dr. James Watmough
Phone: 506 458 7363
E-Mail: watmough@unb.ca
Webpage

 

Differential Equations and Dynamical Systems

James Watmough, University of New Brunswick

Many of the processes studied in science, engineering and economics are described by nonlinear differential equations. This course introduces qualitative methods to find essential information about the solutions of nonlinear equations without necessarily attempting to find the solution completely. The intent for this term is to cover the theorems on existence, uniqueness, stability, stable and centre manifolds, and dependence on parameters for systems on nonlinear differential equations.  Examples will be taken mainly from Mathematical Ecology, Epidemiology, and Immunology.