Mathematical Modelling

Description

Mathematical modelling is key to bridging the gap between mathematics and solving real-world problems. Whether used to simulate the spread of an infectious disease or predict the trajectory of a falling satellite, mathematical modelling permeates disciplines across academia and industry. This course provides an overview of essential mathematical modelling techniques and their application to real-world problems, providing an introduction to the study of Applied Mathematics. As well as surveying general techniques, the subject will focus on a number of illustrative case studies covering topics across the spheres of the natural world and human endeavour, from environmental issues, to biology, ecology, medicine, engineering, business and commerce.

Availability

Callaghan

  • Semester 2 - 2015
  • Semester 2 - 2016

Learning Outcomes

1. Appreciate how the application of mathematics can improve our understanding of the natural world and the world of human endeavour;

2. Have developed strategies and techniques for applying mathematics to solve real-world problems;

3. Have improved quantitative and analytical skills;

4. Be able to use appropriate mathematical and scientific terminology to justify their reasoning; and

5. Be able to develop and use computer software for mathematical modelling.

Content

Topics will include:1. Modelling

  • a) Dynamical systems
  • b) Queuing systems
  • c) Decision-making problems
  • Both deterministic and stochastic settings will be considered.

2. Characterising properties of models that make getting useful results easy or difficult; understanding relationships between model formulation and solution.

Assumed Knowledge

The course has assumed knowledge of 2unit Mathematics in the HSC band 5 or higher. Students with a result of Band 4 or less in 2unit Mathematics in the HSC should do MATH1002 before attempting MATH1800.

Assessment Items

Tutorial / Laboratory Exercises: Laboratory Workshop Exercises

Formal Examination: Examination

Contact Hours

Callaghan

Computer Lab

Face to Face On Campus 2 hour(s) per Week for Full Term

Workshops are incorporated in the computer lab.

Lecture

Face to Face On Campus 2 hour(s) per Week for Full Term