| Competences |
| Type A | Code | Competences Specific |
| A8 | Use advanced quantitative techniques to develop a research project within the international markets framework (research speciality). | |
| Type B | Code | Competences Transversal |
| CT3 | Solve complex problems critically, creatively and innovatively in multidisciplinary contexts. | |
| CT8 | Develop sufficient independence to work on research projects and scientific and technological ventures within their discipline. | |
| Type C | Code | Competences Nuclear |
| Learning outcomes |
| Type A | Code | Learning outcomes |
| A8 |
Know how to select and apply advanced mathematical and econometric techniques to solve specific problems. | |
| Type B | Code | Learning outcomes |
| CT3 |
Solve complex problems critically, creatively and innovatively in multidisciplinary contexts. | |
| CT8 |
Develop sufficient independence to work on research projects and scientific and technological ventures within their discipline. | |
| Type C | Code | Learning outcomes |
| Contents |
| Topic | Sub-topic |
| 1. Preliminary concepts | 1.1. Sets and sequences 1.2. Matrices 1.3. Functions 1.4. Fundamental properties |
| 2. Optimitzation in Rn | 2.1. Optimization problems in Rn 2.2. Economic applications 2.3. Existence of solutions : Weierstrass theorem |
| 3. Optimization with equality restrictions | 3.1. Optimization problems with equality restrictions 3.2. Lagrange Theorem 3.3. Economic Applications |
| 4. Optimization with inequality restrictions | 4.1 Optimization problems with inequality restrictions 4.2 Kuhn-Tucker Method 4.3 Globality criteria 4.4 Optimization problems with equality and inequality restrictions |
| Planning |
| Methodologies :: Tests | ||||||||||
| Competences | (*) Class hours |
Hours outside the classroom |
(**) Total hours | |||||||
| Introductory activities |
|
1 | 1 | 2 | ||||||
| Scientific and/or communication events |
|
15 | 30 | 45 | ||||||
| Problem solving, exercises in the classroom |
|
10 | 10 | 20 | ||||||
| Personal attention |
|
2 | 2 | 4 | ||||||
| Extended-answer tests |
|
2 | 2 | 4 | ||||||
| (*) On e-learning, hours of virtual attendance of the teacher. (**) The information in the planning table is for guidance only and does not take into account the heterogeneity of the students. | ||||||||||
| Methodologies |
| Description | |
| Introductory activities | Introduction and presentation of the subject |
| Scientific and/or communication events | Presentation of the content of the subject |
| Problem solving, exercises in the classroom | Formulation, analysis, resolution and debate of a problem or exercise, related to the topic of the subject |
| Personal attention | Tutoring |
| Personalized attention |
| Description |
| On the first day of classes students will receive information about how and when can they contact the professor to solve queries and questions of the subject. |
| Assessment |
| Methodologies | Competences | Description | Weight | ||||
| Problem solving, exercises in the classroom |
|
Problem solving individually | 40% | ||||
| Extended-answer tests |
|
Final exam with evaluation of all the contents of the subject | 60% | ||||
| Others |
| Other comments and second exam session | |||
|
The second call will consist of a test of development with all the contents of the subject (100% of the final grade) |
|||
| Sources of information |
| Basic |
Rangarajan K. Sundaram,, A First Course in Optimization Theory , ,
Carl P. Simon-Lawrence Blume, Mathematics for Economists, ,
, , , |
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| Complementary | |||||||||
| Recommendations |
(*)The teaching guide is the document in which the URV publishes the information about all its courses. It is a public document and cannot be modified. Only in exceptional cases can it be revised by the competent agent or duly revised so that it is in line with current legislation.