UNIVERSITY COLLEGE LONDON
EXAMINATION FOR INTERNAL STUDENTS
MODULE CODE : MATH1102
ASSESSMENT : MATH 1 1 023
PATTERN
MODULE NAME : Analysisz
DATE : 31 -May-11
TIME : 14:30
TIME ALLOWED : 2 Hours 0 Min
UNIVERSITY COLLEGE LONDON
EXAMINATION FOR INTERNAL STUDENTS
MODULE CODE : MATH110I
ASSESSMENT : MATH11D1B
PATTERN
MODULE NAME : Analysis1
DATE : 20-May-11
TIME : 14:30
TIME ALLOWED : 2 Hours 0 Minutes
University College London
DEPARTMENT OF MATHEMATICS
MidSessional Examinations 2010
Mathematics 1101
Friday 15 January 2010 2.30 4.30 or 4.00 6.00
All questions may be attempted but only marks obtained
UNIVERSITY COLLEGE LONDON
EXAMINATION FOR INTERNAL STUDENTS
MODULE CODE
MATH1101
ASSESSMENT
PATTERN
MATH1101A
MODULE NAME
Analysis 1
DATE
28-Apr-10
TIME
14:30
TIME ALLOWED
2 Hours 0 Minutes
2009/1 0-M
University College London
DEPARTMENT OF MATHEMATICS
Mid-Sessional Examinations 201]
Malhemalics 110]
Wednesday I2 January 201] 2.30 - 4.30
AH questions may be anempted but only marks obtained an the b
UNIVERSITY COLLEGE LONDON
EXAMINATION FOR INTERNAL STUDENTS
MODULE CODE 2 MATH1101
ASSESSMENT :MATH1101A
PATTERN
MODULE NAME : Analysis1
DATE : 08-May-09
TIME 2 14:30
TIME ALLOWED : 2 Hours 0 Minutes
University College London
DEPARTMENT OF MATHEMATICS
Mid-Sessional Examinations 2009
Mathematics l 101
Wednesday 14 January 2009 2.30 4.30
All questions may be attempted but only marks obtained on the
University College London
DEPARTMENT OF MATHEMATICS
Mid-Sessional Examinations 2008
Mathematics 1101
Monday 7 January 2008 11.30 1.30 or 1.15 ~ 3.15
All queslions may be attempted but only marks obt
UNIVERSITY COLLEGE LONDON
EXAMINATION FOR INTERNAL STUDENTS
MODULE CODE
:
MATH11O1
ASSESSMENT
PATTERN
:
MATH11O1A
MODULE NAME
: Analysis
DATE
:
TIME
: 10:00
TIME ALLOWED
:2Hours0Minutes
2007/08-MATH
1
/
University College London 1 1
DEPARTMENT OF MATHEMATICS J M 07
Mid-Sessional Examinations 2007
Mathematics 1101
Friday 12 January 200711.30 1.30 or 12.15 2.15
All questions may be attempted but only
UNIVERSITY COLLEGE LONDON
University of London
EXAMINATION FOR INTERNAL STUDENTS
For the following qualifications :B. Sc.
M. Sci.
Mathematics MllA:
COURSE
Analysis 1
CODE
:
MATHMllA
:
0.50
DATE
:
02-M
UNIVERSITY COLLEGE LONDON
P
University of London
EXAMINATION FOR INTERNAL STUDENTS
For The Following Quafifications:-
B.Sc.
M.ScL
M a t h e m a t i c s M11A: Analysis I
COURSE CODE
:
MATHM11A
UNIT VAL
All questions may be attempted but only marks obtained on the best four solutions will
count.
The use of an electronic calculator is not permitted in this examination.
1. (a) Let cfw_sin be a sequence
All questions may be attempted but only marks obtained on the best four solutions will
count.
The use of an electronic calculator is not permitted in this examination.
1. (a) Consider a function f : R
UNIVERSITY COLLEGE LONDON
EXAMINATION FOR INTERNAL STUDENTS
MODULE CODE : MATH1101
ASSESSMENT : MATH1101B
PATTERN
MODULE NAME : Analysis1
DATE : 15-May-12
TIME : 14:30
TIME ALLOWED : 2 Hours 0 Minutes
All questions may be attempted but only marks obtained on the best four solutions will
count.
The use of an electronic calculator is not permitted in this examination.
1. (a) Consider a function f : R
All questions may be attempted but only marks obtained on the best four solutions will
count.
The use of an electronic calculator is not permitted in this examination.
1. (a) Consider a function f : R
University College Lendon
DEPARTMENT OF MATHEMATICS
Mid-Sessional Examinations 2012
Mathematics 1101
Wednesday 11 January 2012 2:30 4:30
All questions may be attempted but only marks obtained on the b
All questions may be attempted but only marks obtained on the best four solutions will
count.
The use of an electronic calculator is not permitted in this examination.
1. (a) State the denition of the
l
UNIVERSITY COLLEGE LONDON
\
University of London
EXAMINATION FOR INTERNAL STUDENTS
For The Following Qualifications:-
I
B.Sc.
M.Sci.
Mathematics M11A: Analysis I
COURSE CODE
:
MATHM11A
UNIT VALUE
:
All questions may be attempted but only marks obtained on the best four solutions will
count.
The use of an electronic calculator is not permitted in this examination.
1. (a) State the denition of con
University College London \ \ H l U \
DEPARTMENT OF MATHEMATICS
Mid-Sessional Examinations 2006
Mathematics M] IA
Wednesday I l January 2006 1.30 - 3.30
All questions may be attempted but only marks o
UNIVERSITY COLLEGE LONDON
EXAMINATION FOR INTERNAL STUDENTS
MODULECODE
MATH1101
MODULENAME
Analysis 1
DATE
14-May-07
TIME
14:30
TIME ALLOWED
2 Hours 0 Minutes
2006/07-MATH1101A-001-EXAM-225
2006
Unive
Problem Sheet 2 for 6401 Due Monday 27 Oct 2008, at the Problem Class 1. Dierentiate the following functions (a) f (x) = (b) f (x) =
7esin(x ) +3x ; tan(cos x) 3x2 +7 arcsin x+arctan x 3
2
;
(c) f (x)
Problem Sheet 3 for 6401 Due Monday 10 Nov 2008, at the Problem Class. You should hand in solutions to all problems, but only some of them will be marked. 1. For the following functions, nd the critic
Problem Sheet 4 for 6401 Due Monday 17 Nov 2008, at the Problem Class. You should hand in solutions to all problems, but only some of them will be marked. 1. We dene
1
N
x dx = lim
a
N
xa dx,
1
if th
Problem Sheet 5 for 6401 Due Monday 24 Nov 2008, at the Problem Class. You should hand in solutions to all problems, but only some of them will be marked. 1. Prove the following identities for hyperbo
Problem Sheet 6 for 6401 Due Monday 1 December 2008, at the Problem Class. You should hand in solutions to all problems, but only some of them will be marked. 1. Compute the following indenite integra
6401 Problem sheet 7 Due on Monday 8 December at the problem class (1) Find the Taylor series at x = 0 of the following functions: (a) cos(3x); (b) cos2 x; (c) (d)
1 53x ; 3 (1x)3 .
2008
(2) Find the
Math 2220 Section 2.6 :
Problem Set 3 Solutions
Spring 2010
4. Calculate the directional derivative of the function f (x, y ) = 1/(x2 + y 2 ) in the direction of the vector u = i j = (1, 1) at the poi