This unit builds on first year mathematical units and is designed to provide an overview of the modelling process; including problem identification, factors and assumptions, formulation and solution, interpretation comparison of results with original problem. The unit also explores setting up models and the interpretation of mathematical models as well as interpolation, extrapolation, spectral decomposition and fitting models to data. Applications of continuous models via differential equations and data fitting, discrete versus continuous modelling and discrete/continuous combinations with examples of general interest in a variety of fields, are other topics explored in this unit.
This is a core unit in a stream that will allow students to undertake a qualification to become a registered teacher.

Unit details

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Learning Outcomes

On successful completion of this unit, students will be able to:
  1. Review, analyse, consolidate and synthesise knowledge to identify a modelling process and provide solutions to complex problems with intellectual independence;  
  2. Adapt and use various ordinary differential equations, in the continuous case and interpolation methods, in the discrete case, for modelling common situations;  
  3. Develop simple models to solve real life problems with intellectual independence;  
  4. Solve differential equations that play an essential role in continuous models such as the velocity field of fluid in pipe flows, temperatures and stresses in a solid, and electric field that applies continuously over the entire model due to a point charge; and  
  5. Articulate a clear and coherent exposition of knowledge and ideas on continuous and discrete mathematical modelling to a variety of audiences.  


Assessment type Description Grade
Assignment Assignment #1 consisting of Mathematical problems. 25%
Assignment Assignment #2 consisting of Mathematical problems 25%
Test Test 50%

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