Mathematical Modelling

Course code MATH1800Units 10Level 1000Faculty of Science and Information TechnologySchool of Mathematical and Physical Sciences

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.

Available in 2015

Callaghan CampusSemester 2
Previously offered in 2014
ObjectivesAt 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.
ContentTopics will include:
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
Industrial Experience0
Assumed KnowledgeThe 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 DeliveryInternal Mode
Teaching MethodsLecture
Computer Lab
Assessment Items
Essays / Written Assignments
Examination: Formal
Group/tutorial participation and contribution
Laboratory Exercises
Contact HoursLecture: for 2 hour(s) per Week for Full Term
Computer Lab: for 2 hour(s) per Week for Full Term
Timetables2015 Course Timetables for MATH1800