On successful completion of this module, students will be able to:

Apply various standard methods (separation of variables, integrating factors, reduction of order, undetermined coefficients) to solve certain types of differential equations (separable, 1st-order linear, linear with constant coefficients;

Give examples of differential equations for which either existence or uniqueness of solution fails;

Compute the exponential of a square matrix;

Apply standard methods (linearization, Lyapunov theorems) to check the stability of critical points for automous systems

Module Content

Terminology (order, scalar vs. system, linear vs. nonlinear, invariant);

This module will be examined in a 2 hour examination in Trinity term. Continuous assessment will contribute 20% to the final grade for the module at the annual
examination session. Supplemental exams if required will consist of 100% exam.