Advanced Differential Equations (MAP 313)

LECTURER:  V Naicker

 

Description

This course is an introduction to the study of nonlinearity and chaos.
Many natural phenomena can be modeled as nonlinear ordinary
differential equations, the majority of which are impossible to solve
analytically.

Examples of nonlinear behaviour are drawn from across the sciences
including physics, biology and engineering.

 

Topics

Syllabus : Integrability theory and qualitative techniques for deducing
underlying behaviour such as phase plane analysis, linearisations and
perturbations. The study of flows, bifurcations, the Poincare-Bendixson
theorem, and the Lorenz equations.

 

Tutorials

ONE tutorial per week.

Tests/Exams

TWO class tests and ONE final examination.

Last Modified: Tue, 07 Jan 2014 12:03:40 SAST