MATH5175 Special Topic Applied

MATH5175 is a Special Topic in Applied Mathematics course for Honours and Postgraduate Coursework students. The topic for Term 1 2020, is Integrable Systems. Classical Theory and Modern Applications. See the course overview below.

Units of credit: 6

Prerequisites:

Cycle of offering: Topics rotate; Term 1.

Graduate attributes: The course will enhance your research, inquiry and analytical thinking abilities.

More information: Course outline (pdf) Will be provided.

The Online Handbook entry contains information about the course. (The timetable is only up-to-date if the course is being offered this year.)

If you are currently enrolled in MATH5175, you can log into UNSW Moodle for this course.

Course Overview    

TBA. Topics may include

  • Classical Liouville-Arnold integrability of ODEs based on Hamiltonian/Lagrangian mechanics, symmetries, conservation laws (Noether’s theorem)
  • Integrability of infinite-dimensional systems: PDEs, soliton theory, Lax pairs, Bäcklund  transformations, (differential) geometric aspects
  • Basic theory of (linear) difference equations
  • Discrete (nonlinear) integrable systems: (algebraic) geometry and features of integrable maps and partial difference equations, discrete Painlevé equations, integrability detectors
  • Applications in mathematics and physics