MATH1800

Mathematical Modelling

10 Units 1000 Level Course

Available in 2014

Callaghan Campus Semester 2

Previously offered in 2013, 2012, 2011, 2010

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.

Objectives At the successful completion of this course, students will:

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. Characterizing properties of models that make getting useful results easy or difficult; understanding relationships between model formulation and solution.
Replacing Course(s) n/a
Transition n/a
Industrial Experience 0
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.
Modes of Delivery Internal Mode
Teaching Methods Lecture
Tutorial
Computer Lab
Assessment Items
Essays / Written Assignments
Examination: Formal
Group/tutorial participation and contribution
Laboratory Exercises
Contact Hours Lecture: for 2 hour(s) per Week for Full Term
Computer Lab: for 2 hour(s) per Week for Full Term
Timetables 2014 Course Timetables for MATH1800