Complex Analysis

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Abstract

This subject allows you to appreciate how complex analysis extends the ideas of calculus to the complex plane, and throws light on real number problems. It generalises the concepts of calculus (limits, derivatives, Taylor series and integrals) to functions of complex variables. The subject culminates with residue theory and its … For more content click the Read More button below.

This subject allows you to appreciate how complex analysis extends the ideas of calculus to the complex plane, and throws light on real number problems. It generalises the concepts of calculus (limits, derivatives, Taylor series and integrals) to functions of complex variables. The subject culminates with residue theory and its applications to both complex and real integration. This subject enables you to be more familiar and comfortable with mathematical background, concepts and language necessary for the study of applicable mathematics.

Syllabus

Complex numbers and their properties.Complex functions, limits and continuity.Derivatives, the Cauchy-Riemann equations, analytic functions.Elementary functions.Integration of complex functions.Power series methods.Residue theory.Applications.

Enrolment restrictions

Available to undergraduate students only. Not available to students who have completed MTH406.

Pre-requisite

Incompatible