Newtons method in the complex plane
News
Staff
 Prof. Murat İbrahim Yazar
(Erasmus guest lecturer)
Times and Place
Lecture:
Tuesday 10th October 12:3014:00 in 5A
Wednesday 11th October 14:3016:00 in 5G
Exercise/Lab:
Wednesday 11th October 16:3018:00 in 25.42 2542.00.41
and
Thursday 12th October 14:3016:00 in 25.42 2542.00.41
Aim
This short course mainly is about bringing students together
with mathematical beauty of fractals. You will learn about fractals,
Mandelbrot sets and Julia sets. In the computer lab sessions we will
develope basin portraits of polynomials.
Topics:
 Newton’s Method as an iterated function
 Basic definitions and terms about fractals
 Examples of fractals in nature and mathematics.
 Basin portraits of polynomials in complex plain.
Prerequisite
Some basic knowledge of complex numbers.
Material

Berkey D.D., Blanchard P.P. , Calculus (third edition), Saunders college publishing, New York (1992)
Pages 182187 and AppendixIV
 Aaron Burton, Newton's method and fractals PDF
 Lily Yau and Adi BenIsrael, The Newton and Halley Methods for Complex Roots PDF
 Carmen Q. Artino, The Complex Roots of a Quadratic Equation: A Visualization PDF
last modified on: 11 October 2017 at 10:05am.