units
MTH2140
Faculty of Science
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6 points, SCA Band 0 (NATIONAL PRIORITY), 0.125 EFTSL
SynopsisReal numbers, countable and uncountable sets, paradoxes of the infinite, the Cantor set; compactness and convergence; sequences and series; continuous and differentiable functions; fixed points and contractions; applications to Markov chains, branching processes and integral equations. ObjectivesAt the completion of this unit, students will be able to demonstrate understanding of: the rich mathematical structure of the real numbers; a variety of paradoxes of the infinite; some basic concepts of analysis including limits, derivatives, integrals, sequences and series; the applicability of mathematical ideas to other areas of science; and will have developed skills in: identifying areas of mathematics where the intuition is unreliable; appreciating and developing some simple mathematical proofs; the use of rigorous mathematical arguments; applying the tools of real analysis to study discrete dynamical systems. Assessment
Examination (3 hours): 70% Chief examiner(s)
Associate Professor Alan Pryde Contact hoursThree 1hour lectures and one 1hour support class per week PrerequisitesProhibitions 