MTH 2032 Differential Equations With Modelling
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This MTH 2032 Differential equation with modelling course unit introduces mathematical techniques for differential equations. These equations seem in an exceeding range of physical models, like oscillations, heat physical phenomenon and transport equations. Ways to check standard differential equations embody separation of variables, subbing ways, variation of parameters, series solutions and numerical techniques (Euler, Heun's method). Partial differential equations describing physical models are derived and analyzed through Fourier series, separation of variables and characteristics techniques.
Course objectives:
- Describe numerous categories of standard and partial differential equations and also the physical systems to that they apply.
- Identify the differential equations that describe numerous physical processes together with those for straightforward periodic motion, diffusion, wave propagation and mass transport.
- Describe the essential mathematical properties of those differential equations.
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