Title: Programmes in Mathematics
1- Programmes in Mathematics LMD system
- Paris Dauphine University
- Logroño, 25-27 October 2007
- Universidad de la Rioja
- Conferencia de decanos y directores de
matemáticas
2- A brief background MASS degrees
- In the early seventies, the mathematics
department at Paris Dauphine launched a new
programme combining mathematics and economics,
on the same model as mathematics and physics
which is more usual. - This combination created a surprise and some
scepticism among the academics but then the idea
had been admitted and adopted by other French
universities. - These programmes were referred as MASS degrees
- Mathématiques Appliquées aux Sciences Sociales
(Applied Mathematics and Social Sciences)
3- The LMD reform
- The old system of the first two years of
undergraduate study (recognized by a DEUG
diploma), plus one year for the Bachelors degree
licence is being replaced by the new
licence, described as L1, L2, L3 - The one year course after the old licence called
maîtrise, followed by the one year DEA or DESS
have been replaced by a research master or a
professional master, referred to as M1, M2. - Many degrees names have changed.
4doctorat
doctorat
DESS
DEA
M2 M1
Maîtrise
Licence
L3
DEUG
L2 DU MI2E L1
Until 2004-2005
Since 2005-2006
5 The LMD reform at Dauphine Since October
2005, at Dauphine all programmes have been
designed following the LMD scheme. Basicaly
this means semester based programmes, each
semester being validated for 30 ECTS.
6- The LMD reform at Dauphine
- Furthermore in October 2005, the mathematics and
computer science departments merged in a new
department MIDO - Mathématiques, Informatique, Decision et
Organisation - The programmes in mathematics and computer
science remain quite distinct.
7Licence MI2E Mention Mathématiques
appliquées Mathématiques et Modélisation des
Problèmes Economiques ECTS
4
4
L3
28 to 40
0 to 18
0 to 15
32
12 to 16
4 to 8
L2
8
16
12
4
28
L1
Maths
C.S.
Eco
En
8DUMI2E L1Mathematics 28 ECTS
9DUMI2E L2Mathematics 32 ECTS
10DUMI2E L3Mathematics 28 to 40 ECTS
11- The students
- At the end of the second year students have a
choice to opt for Economics or Business, or
leave Dauphine to enter Business schools mostly.
These students represent about 20 to 25 of the
second year population - But new students apply to enter at level L3,
coming from other universities or preparatory
classes (intensive classes for competitive
entrance) to engineering schools, so the number
of students stays stable (around 180-200).
12- What about computer science courses content ?
- First year
- S1 Info1 (6ECTS, 301515) architecture and Java
(first level) - S2 Info2 (5ECTS, 2020) algorithmic
- S2 Practical tools (internet and web, excel and
OR, access and data bases) - Second year
- S3 Info 3 (4ECTS, 202020) Java second level
introduction to object oriented programming - S4 Info 4 (4ECTS, 202020) advanced algorithmic
and Java
13- What about economics?
- S1 An introduction to macroeconomics(4ECTS,
2020) basic notions in macroeconomics. - S2 Microeconomics 1 (4ECTS, 2020) The consumer
choice, the producer choice, introduction to
general equilibrium and Pareto optimum - S3 Macroeconomics 1 (4ECTS, 2020) Short run
macroeconomics. Equilibrium. Analysis in a closed
economy. - S3 Ecomomic policies (4ECTS, 2020) Issues in
contemporary economies. - S4 Microeconomics 2 (4ECTS, 2020) imperfect
competition. Market failures. The welfare
theorems. - S4 Macroeconomics 2 (4ECTS, 2020) Open economy.
14Master MIDO Mention Mathématiques de la
Modélisation et de la Décision (MMD) First year
M1 4 choices
Economics Finance
Actuarial sciences
Applied probabilities and analysis
Statistics
A common core (28 ECTS) Electives modules (12
ECTS) Optional modules (24 ECTS) the above
modules or game theory, wavelets, marketing,
microeconomics, C,
15- Master MIDO Mention MMD
- First year M1
- Common core (28 ECTS)
- Discrete stochastic processes
- Functional analysis and dynamical programming
- Generalised linear models
- Continuous stochastic processes
- Numerical analysis or signal processing
- English
16Master MIDO Mention MMDFirst year M1elective
courses
- Economy Finance
- (12 ECTS)
- Portfolio management
- Asset pricing (mathematical modelling)
- Risk economy
- Actuarial sciences
- (20 ECTS)
- Portfolio management
- Asset pricing (mathematical modelling)
- Dynamical variables econometrics
- Mathematics for insurance 1
- Mathematics for insurance 2
17Master MIDO Mention MMDFirst year M1elective
courses
- Statistics
- (12ECTS)
- Data analysis
- Non parametric statistics
- Dynamical variables econometrics
- Applied probabilities analysis
- (12 ECTS)
- Functional analysis and non linear analysis
- Markov chains control
- Distributions, PDE, Black Sholes model
18- Master MIDO Mention MMD
- Second year M2
- Insurance, Economy Finance
- (Mathématiques de lAssurance, de lEconomie et
de la Finance - Statistical financial engineering
- (Ingénierie Statistique et Financière )
- Actuarial sciences
- (Actuariat)
- Statistical information processing
- (Traitement Statistique de lInformation)
- PDE stochastic and deterministic modelling
- (EDP-MAD Modélisation aléatoire et déterministe
)
19- Master MIDO Mention MMD
- Second year M2
- Insurance, Economy Finance
- Co-diploma with ENSAE
- Statistical financial engineering
- Both classical training and vocational training
- Actuarial sciences
- Validated by the chamber of actuaries
- Statistical information processing
- with participation in the European master in
Bayesian statistics and Decision Analysis - PDE stochastic and deterministic modelling
- (EDP-MAD Modélisation aléatoire et déterministe
)
20- Third cycle Doctoral studies
- About 15 PhD thesis are defended each year.
- 3 major fields
- Mathematical microeconomics and finance
- Probabilities and statistics (Bayesian
statistics, data analysis) - PDE
21 Research center CEREMADE Centre de Recherche
de Mathématiques de la Décision Website
www.ceremade.dauphine.fr
22Carreer opportunities for students. (MIDO
department Mathematics Master and computer
science Master)
23Carreer opportunities for students. (MIDO
department Mathematics Master and computer
science Master)
24- Double diploma
- Autonoma- Madrid Paris-Dauphine
- In 2000, an agreement has been signed
- leading to a joint degree.
25- The LMD reform
- Main advantages
- Adoption and generalisation of the credits system
- Presentation of courses in term of objectives
- Drawbacks
- Funny diploma names
- Too many courses units
- Too much time spent in student assessment
26- University website
- www.dauphine.fr
- coming soon in English and in Spanish.
27- Martine Bellec
- Vice Présidente
- Université Paris Dauphine
- Paris France
- Martine.Bellec_at_dauphine.fr