This module will equip students with the mathematical concepts and techniques to analyse and solve problems in differentiation, integration, differential equations, Fourier series and Laplace transforms, and to model the solutions with computer software.
Differentiate a range of functions including hyperbolic, implicit, parametric and multivariable functions, and apply the concepts and methods of differentiation to rates of change and optimisation problems.
Identify and employ the appropriate techniques required to evaluate a variety of integrals.
Formulate first and second order differential equations arising from physical system models, solve them by analytical and Laplace Transform methods, and interpret the results.
Derive the Fourier series representation of a periodic function.
Employ mathematical software to analyse and solve problems and to visualise solutions.