Intended learning outcomes
- To recognize the concepts studied as the generalization of the corresponding notions for single variable real functions.
- To understand the notions of limit, continuity and differentiability of scalar and vector fields and its application to rates of increase, function approximation and extrema.
- To compute double and triple integrals, identifying the geometric representation of the domain and the appropriate coordinates.
- To parametrize lines and surfaces and use it to compute line and surface integrals.
- To know the applications of integration of multivariable functions, eg. line length, surface area, volume of a region, average value of a function, work, flux, mass, centre of mass and moments of inertia.
- To develop spacial visualization and apply it in problem solving.
- To be able to mathematically formulate a practical problem and to identify and implement the correct analytical and/or computational strategy towards it solution.