Topics in Applicable Mathematics

Course code MATH3720Units 10Level 3000Faculty of Science and Information TechnologySchool of Mathematical and Physical Sciences

Mathematics is used in ecology, commerce, industry, and indeed in many areas of human activity. Interesting mathematical applications from these areas will be studied with emphasis on the important principles involved in constructing effective mathematical models. The usefulness and limitations of the various applications will be discussed. The course covers all aspects of the modelling procedure: development analysis, interpretation and refinement through the consideration of case studies drawn from areas such as traffic engineering, biological systems and industrial processes. During these studies, students will be introduced to relevant, new mathematical skills and techniques.

Not available in 2015

Objectives1. to give students an understanding of the principles involved in constructing effective mathematical models in ecology, commerce and industry.

2. to enable students to analyse the usefulness and limitations of mathematical models employed in various areas of human activity.

3. to develop skills required to solve the equations used to describe physical phenomena.
ContentMathematical models from various areas will be developed and analysed. Areas from which models are chosen may include:

. traffic flow

. scaling analysis

. biological systems

. elastic vibrations

. random walk models

. chaos theory
Replacing Course(s)n/a
Industrial Experience0
Assumed KnowledgeMATH2310
Modes of DeliveryInternal Mode
Teaching MethodsLecture
Assessment Items
Essays / Written Assignments
Examination: Formal
Contact HoursLecture: for 3 hour(s) per Week for Full Term