MATH5215 is a Mathematics Level V course. See the course overview below.

Units of credit: 6

Prerequisites: There are no formal prerequisites but it will be assumed that students are familiar with
Linear Algebra and Differential Equations at the level of MATH2501 (or MATH2601) and MATH2120 (or MATH2130).

Cycle of offering: Approximately once per year.

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

More information: this recent course handout (pdf) contains information about course objectives, assessment, course materials and the syllabus. (This pdf will usually be updated by the end of the first week of the session.)

The Online Handbook entry contains up-to-date timetabling information.

If you are currently enrolled in MATH5215, you can log into the My eLearning Vista instance of this course.

The history of time scales is relatively short in mathematical terms.

It is well known that the areas of:

In 1988, two German mathematicians: B. Aulbach and S. Hilger wanted to answer the question: `Why do these similarities and distinctions occur?'

Their research lead to a new mathematical framework, known as Dynamic equations on time scales. After its inception, other research groups in time scales have appeared in USA, UK, PRC, Turkey, and now in Australia.

Due to relatively young age of the field of time scales there are many open avenues for new research. Such research will lead to advances in our knowledge of differential and difference equations; uncover their links & distinctions; and will provide increased accuracy in modelling hybrid processes. Furthermore, we will be able to teach and learn the theory and applications of differential and difference equations simultaneously.

This course provides an introduction to the theory and applications of time scales, and its associated dynamic equations. Students who undertake this course will be well equipped to begin advanced research studies into the area.