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MA3211 - Mathematical Modelling and Differential Equations
Credit points: |
3 |
Year: |
2023 |
Student Contribution Band: |
Band
1 |
Administered by: |
|
This subject provides students with hands-on mathematical modelling skills for problems
that involve dynamical systems. Emphasis will be on mathematical/computer models that
will be parameterized with real-world data, such that they can be used to learn about
or predict changes over time in the real world. The modelling skills and mathematical
techniques learned can be applied to many areas, and we will look at examples from
disciplines such as ecology and demography (population growth and decline over time),
social sciences (changes among social states), physical models and epidemiology (spread
of infectious diseases). You will gain experience in applying mathematical models
to real-world problems, by going through the steps of the modelling cycle: from translating
a societal or scientific question into a mathematical model to analysing the model
and interpreting the results in the context of the original problem. This subject
is suitable for students interested in postgraduate industry work or in a research
pathway that involves modelling, and for students interested in (applied) mathematics
(incl. education, engineering, biology).
Learning Outcomes
- translate a verbal problem into an algebraic, numerical, visual or conceptual model
of a system that can be analysed to understand and predict changes in natural systems
over time;
- construct a mathematical model and employ analytical, graphical, and computational
tools, to analyse the behaviour of models under changing conditions, particularly
by solving difference and differential equations;
- parameterize a model with real data, also utilizing tools from statistics/ probability
theory and validate models and interpret their outcomes, recognising strengths and
limitations.
Subject Assessment
- Oral > Presentation 1 - (15%) - Individual
- Weekly Assignments - (25%) - Individual
- Written > Problem task - (60%) - Individual.
Assumed Knowledge:
|
Some computer programming skills (MatLab, R, or any other language) is useful, students
lacking this skill are expected to follow a bootcamp at start of subject.
|
Prerequisites: |
MA2000 AND (MA2210 OR MA2201) |
Availabilities
|
Townsville,
Study Period 1,
Internal
|
Census Date 23-Mar-2023 |
Coordinator: |
Dr Martijn van de Pol |
Lecturers:
|
Assoc. Professor Roslyn Hickson, Dr Martijn van de Pol. |
Workload expectations: |
The student workload for this
3
credit point subject is approximately
130 hours.
- 26 hours lectures
- 39 hours workshops
- assessment and self-directed study
|
|
|
Note:
Minor variations might occur due to the continuous Subject quality improvement process,
and in case
of minor variation(s) in assessment details, the Subject Outline represents the latest
official information.