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Mathematical Biology (MAST90011)
Graduate courseworkPoints: 12.5Not available in 2017
Overview
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Modern techniques have revolutionised biology and medicine, but interpretative and predictive tools are needed. Mathematical modelling is such a tool, providing explanations for counter-intuitive results and predictions leading to new experimental directions. The broad flavour of the area and the modelling process will be discussed. Applications will be drawn from many areas including population growth, epidemic modelling, biological invasion, pattern formation, tumour modelling, developmental biology and tissue engineering. A large range of mathematical techniques will be discussed, for example discrete time models, ordinary differential equations, partial differential equations, stochastic models and cellular automata.
Intended learning outcomes
After completing this subject, students will:
- appreciate the context in which continuum and discrete modelling may arise in mathematical modelling;
- have high level mathematical tools and knowledge that can be used to model a range of problems in mathematical biology;
- have the ability to implement physically justified approximations to solve complex problems;
- have been exposed to both computational and analytical tools, and understand the various contexts in which they can be applied;
- have the ability to pursue further studies in this and related areas.
Generic skills
In addition to learning specific skills that will assist students in their future careers in science, they will have the opportunity to develop generic skills that will assist them in any future career path. These include:
- problem-solving skills: the ability to engage with unfamiliar problems and identify relevant solution strategies;
- analytical skills: the ability to construct and express logical arguments and to work in abstract or general terms to increase the clarity and efficiency of analysis;
- collaborative skills: the ability to work in a team;
- time-management skills: the ability to meet regular deadlines while balancing competing commitments.
Last updated: 3 November 2022
Eligibility and requirements
Prerequisites
The following subject, or equivalent:
Code | Name | Teaching period | Credit Points |
---|---|---|---|
MAST20030 | Differential Equations | Semester 2 (On Campus - Parkville) |
12.5 |
Or both of the following:
Code | Name | Teaching period | Credit Points |
---|---|---|---|
MAST30030 | Applied Mathematical Modelling | Semester 1 (On Campus - Parkville) |
12.5 |
MAST30029 Partial Differential Equations (pre-2014)
Corequisites
None
Non-allowed subjects
None
Inherent requirements (core participation requirements)
The University of Melbourne is committed to providing students with reasonable adjustments to assessment and participation under the Disability Standards for Education (2005), and the Assessment and Results Policy (MPF1326). Students are expected to meet the core participation requirements for their course. These can be viewed under Entry and Participation Requirements for the course outlines in the Handbook.
Further details on how to seek academic adjustments can be found on the Student Equity and Disability Support website: http://services.unimelb.edu.au/student-equity/home
Last updated: 3 November 2022
Assessment
Additional details
Up to 60 pages of written assignments (75%: three assignments worth 25% each, due early, mid and late in semester), a 2-hour written examination (25%, in the examination period).
Last updated: 3 November 2022
Dates & times
Not available in 2017
Time commitment details
170 hours
Last updated: 3 November 2022
Further information
- Texts
Prescribed texts
TBA
Recommended texts and other resources
Edelstein-Keshet, L. Mathematical Models in Biology. McGraw Hill, 1987.
Murray, J. D. Mathematical Biology. Springer Verlag, 1990 (or the new 2 Volume Third edition, 2003).
Britton, N. F. Essential Mathematical Biology, Springer, 2003.
Dr Vries, G., Hillen T., Lewis, M., Muller, J. and Schonfisch, B. A Course in Mathematical Biology. SIAM, 2006. - Related Handbook entries
This subject contributes to the following:
Type Name Course Master of Science (Mathematics and Statistics) Course Doctor of Philosophy - Engineering Course Master of Philosophy - Engineering Course Ph.D.- Engineering Informal specialisation Mathematics and Statistics - Available through the Community Access Program
About the Community Access Program (CAP)
This subject is available through the Community Access Program (also called Single Subject Studies) which allows you to enrol in single subjects offered by the University of Melbourne, without the commitment required to complete a whole degree.
Entry requirements including prerequisites may apply. Please refer to the CAP applications page for further information.
Last updated: 3 November 2022