Introduccin
En muchas ocasiones la gente llega a escuchar las palabras crisis econmica, en ese momento
lo primero que le viene a la cabeza es pobreza, desempleo, mala administracin y menos
oportunidades, sin embargo no conocen lo que significa el papel de

MATHEMATICAL TRIPOS
Part III
Tuesday, 2 June, 2009
1:30 pm to 4:30 pm
PAPER 30
STOCHASTIC NETWORKS
Attempt no more than FOUR questions.
There are FIVE questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS
SPECIAL REQUIREMENTS
Cover

MATHEMATICAL TRIPOS
Part III
Thursday 29 May 2003
9 to 12
PAPER 29
ADVANCED PROBABILITY
Attempt FOUR questions.
There are six questions in total.
The questions carry equal weight.
You may not start to read the questions
printed on the subsequent pages unt

MATHEMATICAL TRIPOS
Part III
Tuesday 6 June, 2006
9 to 12
PAPER 29
ELLIPTIC CURVES
Attempt ALL questions.
There are FOUR questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS
Cover sheet
None
Treasury Tag
Script paper
You may not s

MATHEMATICAL TRIPOS
Part III
Friday 7 June 2002
1.30 to 4.30
PAPER 26
MODULAR FORMS
Attempt THREE questions
There are six questions in total
The questions carry equal weight
Mk (resp. Sk ) denotes the space of modular forms (resp. cusp forms) of weight k

MATHEMATICAL TRIPOS
Part III
Monday 9 June 2008
1.30 to 4.30
PAPER 27
SET THEORY AND LOGIC
Attempt no more than FOUR questions.
There are NINE questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS
SPECIAL REQUIREMENTS
Cover sheet
N

MATHEMATICAL TRIPOS
Part III
Thursday, 3 June, 2010
9:00 am to 11:00 am
PAPER 30
STOCHASTIC NETWORKS
Attempt no more than THREE questions.
There are FOUR questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS
SPECIAL REQUIREMENTS
Co

MATHEMATICAL TRIPOS
Part III
Friday 6 June 2003
1.30 to 4.30
PAPER 27
MORSE THEORY
Attempt FOUR questions.
There are six questions in total.
The questions carry equal weight.
You may not start to read the questions
printed on the subsequent pages until
in

MATHEMATICAL TRIPOS
Part III
Monday 3 June 2002
9 to 12
PAPER 29
ADVANCED FINANCIAL MODELS
Attempt FOUR questions
There are six questions in total
The questions carry equal weight
You may not start to read the questions
printed on the subsequent pages unt

MATHEMATICAL TRIPOS
Part III
Monday, 8 June, 2009
1:30 pm to 4:30 pm
PAPER 29
STOCHASTIC CALCULUS AND APPLICATIONS
Attempt no more than FOUR questions.
There are SIX questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS
SPECIAL REQ

MATHEMATICAL TRIPOS
Part III
Monday 11 June 2007
1.30 to 4.30
PAPER 29
MODULAR FORMS
Attempt FOUR questions.
There are SIX questions in total.
The questions carry equal weight.
(
)
a b
For any =
SL2 (Z) we write f |[]k ( ) = (c + d)kf ( ).
c d
STATIONERY

MATHEMATICAL TRIPOS
Part III
Monday 9 June 2003
9 to 12
PAPER 26
ALGEBRAIC TOPOLOGY
Attempt FIVE questions.
There are six questions in total.
The questions carry equal weight.
You may not start to read the questions
printed on the subsequent pages until
i

MATHEMATICAL TRIPOS
Part III
Thursday 8 June, 2006
9 to 11
PAPER 30
INFORMATION AND CODING
Attempt THREE questions.
There are FOUR questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS
Cover sheet
None
Treasury Tag
Script paper
You

MATHEMATICAL TRIPOS
Part III
Thursday 7 June 2001
9 to 12
PAPER 25
QUANTUM INFORMATION THEORY
Attempt any THREE questions. The questions carry equal weight.
You may not start to read the questions
printed on the subsequent pages until
instructed to do so

MATHEMATICAL TRIPOS
Part III
Thursday 29 May 2008
1.30 to 3.30
PAPER 29
LOCAL FIELDS
Attempt no more than THREE questions.
There are FOUR questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS
SPECIAL REQUIREMENTS
Cover sheet
None
T

MATHEMATICAL TRIPOS
Part III
Monday 31 May, 2004
1.30 to 4.30
PAPER 30
STOCHASTIC CALCULUS AND APPLICATIONS
Attempt FOUR questions.
There are six questions in total.
The questions carry equal weight.
You may not start to read the questions
printed on the

MATHEMATICAL TRIPOS
Part III
Thursday 30 May 2002
9 to 12
PAPER 27
ADVANCED PROBABILITY
Attempt FOUR questions
There are six questions in total
The questions carry equal weight
You may not start to read the questions
printed on the subsequent pages until

MATHEMATICAL TRIPOS
Part III
Thursday 8 June, 2006
1.30 to 3.30
PAPER 28
ANALYTIC NUMBER THEORY
Attempt TWO questions.
There are FIVE questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS
SPECIAL REQUIREMENTS
Cover sheet
None
Treas

MATHEMATICAL TRIPOS
Part III
Monday 11 June 2007
1.30 to 4.30
PAPER 26
SET THEORY AND LOGIC
Questions in Part One are worth one credit.
Questions in Part Two are worth two credits.
Six credits equate to full marks.
STATIONERY REQUIREMENTS
SPECIAL REQUIREM

MATHEMATICAL TRIPOS
Part III
Monday, 7 June, 2010
1:30 pm to 4:30 pm
PAPER 28
ADVANCED PROBABILITY
Attempt no more than FOUR questions.
There are SIX questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS
SPECIAL REQUIREMENTS
Cover

MATHEMATICAL TRIPOS
Part III
Thursday 27 May, 2004
1.30 to 4.30
PAPER 28
ADVANCED PROBABILITY
Attempt FOUR questions.
There are six questions in total.
The questions carry equal weight.
You may not start to read the questions
printed on the subsequent pag

MATHEMATICAL TRIPOS
Part III
Monday 12 June, 2006
1.30 to 4.30
PAPER 26
CYCLOTOMIC FIELDS
Attempt ALL questions.
There are FOUR questions in total.
The questions carry equal weight.
STATIONERY REQUIREMENTS
SPECIAL REQUIREMENTS
Cover sheet
None
Treasury Ta