Topic outline

  • General Presentation

    OPTIMIZATION QEM1 - Teachers: Marcus Pivato & Elena del mercato

    This course consists of two parts. The first part is "Multivariable Calculus" (Marcus Pivato), the second part is "Optimization A: Optimization in Euclidean Spaces" (Elena del Mercato).

    As for the content and the EPI of the first part, please contact Marcus Pivato (<Marcus.Pivato@univ-paris1.fr>).

    Optimization A: Optimization in Euclidean Spaces - ELena del mercato

    This part takes place twice a week, and it starts on Thursday, Octobre 24, 2024.

    As for the detailed schedule of all the CLASSES (course and TD), please contact the UP1 QEM Schooling <qem-paris@univ-paris1.fr>.

    TA for Optimization A: Polina Borisova, PhD Student PSE

    Content

    - Unconstrained Optimization.

    - Constrained Optimization (equalities, inequalities).

    - Finite horizon dynamic programming.

    - Infinite horizon dynamic programming.

    - Metric, normed spaces. Banach's fixed point Theorem.

    Textbooks

    [S] - Sundaram R.K. (1999): A First Course in Optimization Theory, Cambridge University Press, Cambridge. [Chp.1--7, (9.1,9.2), 11--12, Appendix A,B,C]

    [SHSS] - Sydsaeter K., Hammmond P., Seierstadt A., Strom A. (2005): Further Mathematics for Economic Analysis, Prentice Hall. [Chp. 1--3, 13--14, Appendix A]


  • Topic 1

  • Topic 2