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Unit of study_
MATH5420: Deterministic and Stochastic Systems
2021 unit information
Deterministic and stochastic systems lie at the heart of applied mathematics. They are dynamical models of the real world, whose reach is widespread and growing rapidly. Interest in such models grew from the discovery of chaos in simple models of atmospheric circulation, at almost the same time as astonishingly well-ordered and predictable behaviour was observed in models of particle physics. These starting points led to the development of new tools in applied mathematics, which turned out to be profoundly effective at describing emergent behaviours and change. The Economist magazine has stated that "The equations of a good theory are taken to represent physical reality because they can be used to make predictions". This unit will present a toolbox for describing and predicting outcomes. The tools also allow for methods of checking how parameters in a model could be changed to compare predictions to observations. You will learn how profound mathematical theory is applied to produce tools that are universal, adaptable and far-reaching. You will adapt and apply this fundamental theory to these to explore classical and current applications of mathematics to real world problems. You will use methods, developed to study classical areas, as springboards for new tools for innovative applications such as artificial intelligence and machine learning.
Unit details and rules
Managing faculty or University school:
Science
| Study level | Postgraduate |
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| Academic unit | Mathematics and Statistics Academic Operations |
| Credit points | 6 |
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Prerequisites:
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None |
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Corequisites:
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None |
| Prohibitions:
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None |
| Assumed knowledge:
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Familiarity with the methods of classical applied mathematics (e.g., MATH4412) and some experience of probabilistic systems (e.g., STAT3021, MATH4311 or equivalent). Please consult with the coordinator for further information. |
The learning outcomes for this unit will be available two weeks before the first day of teaching.
Unit availability
This section lists the session, attendance modes and locations the unit is available in. There is a unit outline for each of the unit availabilities, which gives you information about the unit including assessment details and a schedule of weekly activities.
The outline is published 2 weeks before the first day of teaching. You can look at previous outlines for a guide to the details of a unit.
There are no availabilities for this year.
| Session | MoA ? | Location | Outline ? |
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Semester 2 2020
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Normal day | Camperdown/Darlington, Sydney |
Outline unavailable
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Semester 2 2021
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Normal day | Camperdown/Darlington, Sydney |
Outline unavailable
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Semester 2 2021
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Normal day | Remote |
Outline unavailable
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Modes of attendance (MoA)
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