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 Campus

  • Semester 2 - 2015

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 Exercises

Formal Examination: Examination

Contact Hours

Computer Lab

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

Tutorial work is incorporated in the computer lab.

Lecture

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