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MATH2620 Higher Complex Analysis MATH2620 is a Mathematics Level II course; it is the higher version of MATH2501 Complex Analysis. See the course overview below. Units of credit: 3 Prerequisites: MATH1231 or MATH1241 or MATH1251, each with a mark of 70 or higher. Exclusions: 2520. Cycle of offering: yearly in Semester 2. Graduate attributes: the course will enhance your research, inquiry and analytical thinking abilities. More information: this recent course handout (pdf) contains information about course objectives, assessment, course materials and the syllabus. (This pdf will usually be updated by the end of the first week of the semester.) The Online Handbook entry contains up-to-date timetabling information. MATH2620 (alternatively MATH2520) is a compulsory course for Mathematics majors. If you are currently enrolled in MATH2620, you can log into the My eLearning Vista instance of this course. Course Overview Complex analysis is one of the most beautiful branches of mathematics, with applications to differential equations, real analysis, fluid flow, quantum mechanics and non Euclidean geometry. This subject is very classical and has its origins in the work of Euler, Gauss and others, before being developed systematically by Cauchy and then Weierstrass. We will study the basic theory of differentiation and integration of complex valued functions, Cauchy's theorem and its many applications, power series development of analytic functions, residues and applications to real integrals and various other interesting topics. |
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AUTHORISED BY Head, School of Mathematics and Statistics Page last updated: Thursday, June 26th, 2008 |
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