This course develops the theory of functions of a complex variable, emphasising their geometric properties and indicating some applications. Introduction covers complex numbers; complex functions; sequences and continuity; and differentiation of complex functions. Representation formulas covers integration of complex functions; Cauchys theorem and Cauchys integral formula; Taylor series; and Laurent series. Calculus of residues covers residue calculus; winding number and the location of zeros of complex functions; analytic continuation; Eulers gamma function and Riemanns zeta function. Finally, Applications covers conformal mappings; fluid flows; complex analytic dynamics; Julia sets; and the Mandelbrot set. You need a sound knowledge of differentiation and integration of real functions for this course.
A geography degree sets you up for a lucrative career in different fields. Here are the career options you can explore as a geography graduate.
Please read on to know more on the Career path and earning potential as a meteorologist in the UK with a Maths degree
War can have a devastating impact on international students, both academically and emotionally. This article explores the impact of war on internation
Report Spam
Question: Lorem ipsum dolor sit amet consectetur adipisicing elit. Est iure, rerum ad porro debitis odio sequi aliquam. Quis officia nobis accusamus, ut ipsum, inventore autem repudiandae voluptates cupiditate iure aliquid?
9 Answers
155
Register now to access exclusive content & personalised recommendations.
Don't miss out.
Sign up today!
Register now to access exclusive content & personalised recommendations.
Don't miss out.
Sign up today!
Register now to access exclusive content & personalised recommendations.
Don't miss out.
Sign up today!