units
MTH2111
Faculty of Science
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6 points, SCA Band 0 (NATIONAL PRIORITY), 0.125 EFTSL
SynopsisNumber systems (natural, rational, real and complex numbers); algebraic structures (groups, rings and fields); countability; functions, graphs, limits; differentiation and integration theory; fundamental theorem of calculus; infinite sequences and series; uniform convergence and power series; fundamental theorem of algebra. ObjectivesOn completion of this unit, students will have an understanding of: the mathematical structures arising in various areas of mathematics and the connections between these; the applicability of mathematical ideas to other areas of science; some basic algebraic structures such as the natural numbers, the real numbers, finite rings, fields and the complex numbers; some basic concepts of analysis including limits, derivatives, integrals, sequences and series. Students will have developed skills in: identifying different types of basic algebraic structures; reproducing and developing some simple mathematical proofs; using rigorous mathematical arguments; applying results arising from proofs to the convergence of both iterative techniques and series. Assessment
Examination (3 hours): 80% Contact hoursThree 1hour lectures and one 1hour tutorial per week PrerequisitesMTH1030 or MAT1085 or equivalent Prohibitions 