MATH3401: Complex Analysis
First Semester 2016
29/02/16
Assignment Number 1
Problem 1 (3 points) Graph the following regions in the complex plane:
a) cfw_z : Re z (Im z)2 ;
b) cfw_z : /4 < Arg z ;
c)
MATH2400: Mathematical Analysis Assignment Number 1
First Semester 2010 05/03/2010
Problem 1 (4 points) Prove that if m and n are natural numbers and (m + 2n)2 > 2. (m + n)2 Problem 2 (4 points) Prove
MATH3401: Complex Analysis
First Semester 2016
05/04/2016
Assignment Number 3
Problem 1 (6 points) Show the following limits:
4z 3
a) lim 3
= 4;
z z 1337z
z3
= ;
z z 2 + 1337z
b) lim
(az + b)2
a2
=
if
MATH3401: Complex Analysis
First Semester 2016
15/03/2016
Assignment Number 2
Problem 1 (2 points) Determine the Mobius transformation mapping 2 to 1, i to itself,
and 2 to 1.
Problem 2 (4 points) Let
MATH 2400 Analysis: Assignment 4
Due Date: Monday 15:50, 16th of May 2015
Remember to include MATH2400, your tutorial time, your tutors name and your
student number and the electronic cover sheet on t
MATH 2400 Midsemester Exam Practice
1
Midsemester Exam
MATH2400 Mathematical Analysis
1. Compute the lim sup and lim inf of the following sequences,
(a)
an = ( 4n2 + n 2n),
(b)
bn = (1)n +
1
,
n
(c)
c