units

MTH2140

Faculty of Science

18 September 2017
23 February 2024

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## 6 points, SCA Band 0 (NATIONAL PRIORITY), 0.125 EFTSLRefer to the specific census and withdrawal dates for the semester(s) in which this unit is offered.
## 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 1-hour lectures and one 1-hour support class per week ## Prerequisites## ProhibitionsMTH2111, MTH3111, MTH3140 |