|
Type A
|
Code |
Competences Specific | | | A5 |
Ser capaç de cercar, analitzar i interpretar informació quantitativa i qualitativa de caràcter econòmic, social i legal, rellevant per a la presa de decisions en el context financer. |
| | A8 |
Utilitzar les eines matemàtiques i estadístiques adequades per a l'anàlisi de les principals variables del sistema econòmic-financer. |
|
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 |
| | A5 |
Analitza matricialment la informació dels sistemes econòmics representats per sistemes d'equacions lineals.
Entén l'espai de decisions econòmiques multidimensional.
| | | A8 |
Representa i opera matricialment la informació quantitativa de caràcter econòmic, empresarial i financer.
Relaciona dues magnituds econòmico-financeres mitjançant funcions.
Utilitza eines de càlcul integral per relacionar magnituds.
|
|
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.
|
|
Type C
|
Code |
Learning outcomes |
| | C1 |
Understand instructions about classes or tasks assigned by the teaching staff.
Recollir en apunts part de la informació que s'imparteix en una classe
| | | 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
|
| Topic |
Sub-topic |
| PART I: LINEAR ALGEBRA |
1. Matrices and determinants
1.1 Matrix operations
1.2 Determinant of a matrix
1.3 Rank of a matrix
2. Systems of linear equations
2.1 Definition of a system of linear equations
2.2 Classification of systems
2.3 Resolution of systems
3. The vector space Rn
3.1 Operations on vectors
3.2 Linear dependence and linear independence
3.3 Scalar product |
| PART II: REAL ANALYSIS |
4. Real functions of one real variable
4.1 Continuous functions. Classes of discontinuous functions
4.2 Derivative and elasticity of a function
4.3 Local and global extrema. Increasing and decreasing functions
4.4 Concavity and convexity
4.5 Graphical representation of functions
5. Integration
5.1 Indefinite integral
5.2 Definite integral |
| 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 multiple-choice tests |
|
2 |
2 |
4 |
| Objective short-answer tests |
|
2 |
2 |
4 |
| Practical 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. |
|
Description |
|
Time that each teacher has to speak to pupils and resolve their doubts. |
|
Methodologies |
Competences
|
Description |
Weight |
|
|
|
|
| Objective short-answer tests |
|
4 brief exercises about particular issues. Each exercise weights 10%; from these 4 exercises, we considerate the 3 best scores. |
30% |
| Practical tests |
|
Final exam is about all the contents of the subject. |
70% |
| Objective multiple-choice tests |
|
Proves d'autoavalució al llarg del curs |
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. |
| Basic |
Sanz, P. et al, Problemas de álgebra lineal. Cuestiones ejercicios y tratamiento en Derive, Prentice Hall, 1998, Madrid
Hammond, P., Sydsaeter, K., Matemáticas para el análisis económico, Prentice Hall, 1996, Madrid
Alegre, P. et al, Ejercicios resueltos de matemáticas empresariales, Vol I, AC, 1991, Madrid
Sydsaeter, K., Hammond, P., Mathematics for economic analysis, Prentice Hall, 1995,
Hoffmann, L. D., Bradley, G. L., Applied calculus: for business, economics, and the social and life sciences, McGraw-Hill, 2007,
|
|
| Complementary |
Alejandre, F. et al, Problemes de matemàtiques per econòmiques i empresarials, Media, 1995, Sant Cugat del Vallès
Hoffmann, L. D. et al., Cáculo aplicado a la administración, economía, contaduría y ciencias sociales, McGraw-Hill, 1994, Santafé de Bogotá
|
|
| Subjects that continue the syllabus |
|
| Subjects that are recommended to be taken simultaneously |
| INTRODUCTION TO MICROECONOMICS/16204004 |
|
(*)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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