| 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 |
| 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 |
| 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. Limits and Continuity of Functions 1.5 Differentiability for Functions of One Variable 1.6 Differentiability for Functions of Several Variables |
| 2.Optimization without restrictions | 2.1 Preliminary Definitions 2.2 First Order Conditions 2.3 Second Order Conditions 2.4 Global Extrema 2.5 Economic Applications |
| 3. Optimitzation with equality constraints | 3.1 Problem Formulation 3.2 Substitution Method 3.3 Lagrange Method 3.4 Criteria for Global Extrema 3.5 Second Order Conditions |
| 4. Optimitzation with inequality constraints | 4.1 Problem Formulation 4.2 Kuhn-Tucker Method 4.3 Criteria for global extrema 4.4 Problems with equality and inequality constraints |
| Planning |
| Methodologies :: Tests | ||||||||||
| Competences | (*) Class hours |
Hours outside the classroom |
(**) Total hours | |||||||
| Introductory activities |
|
2 | 1 | 3 | ||||||
| Lecture |
|
16 | 32 | 48 | ||||||
| Problem solving, exercises |
|
0.5 | 10 | 10.5 | ||||||
| Problem solving, exercises in the classroom |
|
5 | 5 | 10 | ||||||
| Personal attention |
|
1 | 1 | 2 | ||||||
| Practical tests |
|
1.5 | 0 | 1.5 | ||||||
| (*) 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 | Activities designed to make contact with students, collect information from them and introduce the subject. |
| Lecture | Description of the contents of the subject. |
| Problem solving, exercises | Students analyse and solve a set of problems or practical exercises |
| Problem solving, exercises in the classroom | Problems and exercises related to the subject are formulated, analysed, solved and debated. |
| Personal attention | Time that each teacher has to speak to students and resolve their doubts |
| 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 |
|
Solving problems individually outside the classroom |
40% |
||||
| Practical tests |
|
Exam | 60% | ||||
| Others |
| Other comments and second exam session | |||
|
There will be an exam (second call) with a weight of 100% of the final mark. |
|||
| Sources of information |
| Basic |
Rangarajan K. Sundaram, A First Course in Optimization Theory, 1, 1996
Carl P. Simon and Lawrence Blume, Mathematics for Economists, , 2010 |
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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.