Type A
|
Code |
Competences Specific | | A2 |
Find, analyze and interpret quantitative and qualitative information of a financial, accounting, economic, social and legal nature that is relevant to the taking of business decisions.
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Type B
|
Code |
Competences Transversal | | B2 |
Effective solutions to complex problems |
Type C
|
Code |
Competences Nuclear | | C1 |
Have an intermediate mastery of a foreign language, preferably English |
| C2 |
Be advanced users of the information and communication technologies |
| C4 |
Be able to express themselves correctly both orally and in writing in one of the two official languages of the URV |
Type A
|
Code |
Learning outcomes |
| A2 |
Analyze and classify quadratic forms using matrix calculus.
Analyze different economic applications and functions of several economic variables.
Model, solve and interpret problems of optimizing functions of several variables
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Type B
|
Code |
Learning outcomes |
| B2 |
Collect the information they need so that they can solve problems using data and not subjective opinion, and subjecting the information at their disposal to logical analysis.
Find appropriate solutions.
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Type C
|
Code |
Learning outcomes |
| C1 |
Understand instructions about classes or tasks assigned by the teaching staff.
Take notes during a class.
| | C2 |
Use software for on-line communication: interactive tools (web, moodle, blogs, etc.), e-mail, forums, chat rooms, video conferences, collaborative work tools, etc.
| | C4 |
Produce written texts that are appropriate to the communicative situation
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Topic |
Sub-topic |
1. Quadratic forms |
1.1 Quadratic forms
1.2 Classification of quadratic forms |
2. Functions of several variables |
2.1 Continuous functions
2.2 Partial derivatives
2.3 Partial elasticities |
3. Optimization without constraints |
3.1 Description of the problem
3.2 Optimality conditions |
4. Optimization with equality constraints |
4.1 Description of the problem
4.2 Optimality conditions
4.3 Sensibility analysis |
5. Optimization with inequality constraints |
5.1 Description of the problem. Graphic interpretation
5.2 Linear programming: simplex algorithm
5.3 Sensibility analysis |
6. Sequences and series of real numbers |
6.1 Sequences of real numbers
6.2 Series of real numbers
6.3 Geometric series |
Methodologies :: Tests |
|
Competences |
(*) Class hours
|
Hours outside the classroom
|
(**) Total hours |
Introductory activities |
|
1 |
0 |
1 |
Lecture |
|
24 |
24 |
48 |
Problem solving, classroom exercises |
|
25 |
25 |
50 |
Problem solving, exercises |
|
0 |
25 |
25 |
ICT practicals |
|
0 |
10 |
10 |
Personal tuition |
|
4 |
0 |
4 |
|
Objective short-answer tests |
|
2 |
2 |
4 |
Practical tests |
|
2 |
2 |
4 |
Objective multiple-choice 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 |
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, classroom exercises |
Formulation, analysis, resolution and debate of a problem or exercise related to the topic of the subject. |
Problem solving, exercises |
Formulation, analysis, resolution and debate of a problem or exercise related to the topic of the subject. |
ICT practicals |
Practical application of the theory of a knowledge area in a particular context. Practical exercises using ICTs. |
Personal tuition |
Time that each teacher has to speak to pupils and resolve their doubts. |
Description |
Time that each teacher has to speak to pupils and resolve their doubts. |
Methodologies |
Competences
|
Description |
Weight |
|
|
|
|
Objective short-answer tests |
|
2 brief exercises about particular issues. Each exercise weights 15% |
30% |
Practical tests |
|
Final exam is about all the contents of the subject. |
70% |
Objective multiple-choice tests |
|
Self evaluation exercises |
0% |
Others |
|
|
|
|
Other comments and second exam session |
The 100% of second examination session is a final exam about all the contents of the subject. Only scientific calculators will be allowed during evaluation activities. |
Basic |
Mauri Masdeu, L., Matemàtiques II: Economia i empresa, Publicacions URV, 2013, Tarragona
Sydsaeter, K., Hammond, P.J., Mathematics for economic analysis, Prentice Hall, 1995,
Barbolla, R. et al, Optimización. Cuestiones, ejercicios y aplicaciones a la economia, Prentice Hall, 2001, Madrid
Alegre, P. et al, Ejercicios resueltos de matemáticas empresariales, Vol II, AC, 1991, Madrid
Hoffmann, L.D., Bradley, G. L., Applied calculus: for business, economics and the social and life sciences, McGraw-Hill, 2007,
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Complementary |
Hammond, P., Sydsaeter, K., Matemáticas para el análisis económico, Prentice Hall, 1996, Madrid
Ayres, F., Cálculo diferencial e integral, McGraw-Hill, 1991, Madrid
Alejandre, F. et al., Problemes de matemàtiques per econòmiques i empresarials, Media 1995, Sant Cugat del Vallès
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Subjects that it is recommended to have taken before |
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(*)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. |
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