Template:MATHS 250:2007 Description

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Vector spaces and subspaces, linear transformations, linear independence, bases, coordinates. Eigenvalues and eigenvectors, Markov processes. L’Hopital’s rule, improper integrals, integration using partial fractions and trig substitutions. Sequences, series, convergence tests. Taylor and Maclaurin expansions. Functions of two variables. Partial derivatives and tangent planes, optimisation.