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Programmes in Mathematics & LMD system Paris Dauphine University Logroño, 25-27 October 2007

Programmes in Mathematics & LMD system Paris Dauphine University Logroño, 25-27 October 2007 Universidad de la Rioja Conferencia de decanos y directores de matemáticas. A brief background : MASS degrees

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Programmes in Mathematics & LMD system Paris Dauphine University Logroño, 25-27 October 2007

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  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 Logroño 26 octobre 2007 1

  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) Logroño 26 octobre 2007 2

  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 Bachelor’s 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as L1, L2, L3 • The one year course after the old licence called ‘maîtrise”, followed by the one year DEA or DESS have been replaced by a research master or a professional master, referred to as M1, M2.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. Logroño 26 octobre 2007 3

  4. doctorat doctorat DESS DEA M2 M1 Maîtrise Licence L3 DEUG L2 DU MI2E L1 Until 2004-2005 Since 2005-2006 Logroño 26 octobre 2007 4

  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. Logroño 26 octobre 2007 5

  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. Logroño 26 octobre 2007 6

  7. Licence 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 Logroño 26 octobre 2007 7

  8. DUMI2E L1Mathematics 28 ECTS Logroño 26 octobre 2007 8

  9. DUMI2E L2Mathematics 32 ECTS Logroño 26 octobre 2007 9

  10. DUMI2E L3Mathematics 28 to 40 ECTS Logroño 26 octobre 2007 10

  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). Logroño 26 octobre 2007 11

  12. What about computer science courses content ? First year • S1 Info1 (6ECTS, 30+15+15) architecture and Java (first level) • S2 Info2 (5ECTS, 20+20) algorithmic • S2* Practical tools (internet and web, excel and OR, access and data bases) Second year • S3 Info 3 (4ECTS, 20+20+20) Java second level : introduction to object oriented programming • S4 Info 4 (4ECTS, 20+20+20) advanced algorithmic and Java Logroño 26 octobre 2007 12

  13. What about economics? • S1 An introduction to macroeconomics(4ECTS, 20+20): basic notions in macroeconomics. • S2 Microeconomics 1 (4ECTS, 20+20) : The consumer choice, the producer choice, introduction to general equilibrium and Pareto optimum • S3 Macroeconomics 1 (4ECTS, 20+20) : Short run macroeconomics. Equilibrium. Analysis in a closed economy. • S3* Ecomomic policies (4ECTS, 20+20) Issues in contemporary economies. • S4 Microeconomics 2 (4ECTS, 20+20) imperfect competition. Market failures. The welfare theorems. • S4* Macroeconomics 2 (4ECTS, 20+20) Open economy. Logroño 26 octobre 2007 13

  14. Master 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++, … Logroño 26 octobre 2007 14

  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 Logroño 26 octobre 2007 15

  16. 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 Master MIDO Mention MMDFirst year M1elective courses Logroño 26 octobre 2007 16

  17. 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 Master MIDO Mention MMDFirst year M1elective courses Logroño 26 octobre 2007 17

  18. Master MIDO Mention MMD Second year M2 • Insurance, Economy & Finance (Mathématiques de l’Assurance, de l’Economie et de la Finance • Statistical & financial engineering (Ingénierie Statistique et Financière ) • Actuarial sciences (Actuariat) • Statistical information processing (Traitement Statistique de l’Information) • PDE stochastic and deterministic modelling (EDP-MAD Modélisation aléatoire et déterministe ) Logroño 26 octobre 2007 18

  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 ) Logroño 26 octobre 2007 19

  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 Logroño 26 octobre 2007 20

  21. Research center : CEREMADE Centre de Recherche de Mathématiques de la Décision Website www.ceremade.dauphine.fr Logroño 26 octobre 2007 21

  22. Carreer opportunities for students. (MIDO department Mathematics Master and computer science Master) Logroño 26 octobre 2007 22

  23. Carreer opportunities for students. (MIDO department Mathematics Master and computer science Master) Logroño 26 octobre 2007 23

  24. Double diploma Autonoma- Madrid Paris-Dauphine In 2000, an agreement has been signed leading to a joint degree. Logroño 26 octobre 2007 24

  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 Logroño 26 octobre 2007 25

  26. University website www.dauphine.fr • coming soon in English and in Spanish. Logroño 26 octobre 2007 26

  27. Martine Bellec Vice Présidente Université Paris Dauphine Paris France Martine.Bellec@dauphine.fr Logroño 26 octobre 2007 27

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