The course covers two distinct topics. The first, Ordinary Differential Equations (ODEs), looks at the basics of mathematical modelling with ODEs -- in particular linear systems, Laplace transform methods, series solutions, phase planes and an introduction to non-linear systems of ODEs. The second topic, Multivariable Calculus, looks at gradients, divergence, curl, multiple integrals, vector fields, vector fluxes and integral theorems. Both topics will use examples from engineering and applied mathematics.
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