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) cfw_z : |z 4i| < .
Problem 2 (2 points) Find all comple
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 (i.e. use an , N - argument): lim
m2 n2
< 2, then
n+4
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 c 6= 0.
z (cz + d)2
c2
c) lim
Problem 2 (3 points) Sho
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 T be a mapping from C to C. A fixed point of T is a po
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 the front. Please place your
assignment in the slot prov
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)
cn =
2n
(1)n 1 n1
2
n even,
n odd.
Midsemester Exam
MATH