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.
Availability2019 Course Timetables
- Semester 2 - 2019
On successful completion of the course students will be able to:
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.
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.
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 complete MATH1002 and MATH1110 before attempting MATH1800.
Tutorial / Laboratory Exercises: Laboratory Workshop Exercises
Formal Examination: Examination
In Term Test: Mid Term Test
Face to Face On Campus 2 hour(s) per Week for 11 Weeks
Workshops are incorporated in the computer lab.
Face to Face On Campus 2 hour(s) per Week for Full Term