|
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.
|
|
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 |
Use integral calculation to relate magnitudes.
Use matrices to represent and work with economic, business and financial information.
Use matrices to analyze information about economic systems represented by linear equations.
Understand the multidimensional space of economic decisions.
Use functions to relate two economic and financial magnitudes.
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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.
|
|
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
|
| 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 Definitions and examples
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 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 |
Temps que cada professor té reservat per atendre i resoldre dubtes als alumnes. |
|
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 consider the 3 best scores. |
30% |
| Practical tests |
|
Final exam is about all the contents of the subject. |
70% |
| Objective multiple-choice tests |
|
Proves d'autoavaluació |
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 |
Sydsaeter, K., Hammond, P., Mathematics for economic analysis, Prentice Hall, 1995,
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
Hoffmann, L. D., Bradley, G. L., Applied calculus: for business, economics, and the social and life sciences, McGraw-Hill, 2007,
Vilella Bach, Cori, Apunts de Matemàtiques I, Publicacions de la Universitat Rovira i Virgili, 2011,
Mauri Masdeu, L., Matemàtiques I: Economia i empresa, Publicacions URV, 2012, Tarragona
|
|
| Complementary |
Hoffmann, L. D. et al., Cáculo aplicado a la administración, economía, contaduría y ciencias sociales, McGraw-Hill, 1994, Santafé de Bogotá
Alejandre, F. et al, Problemes de matemàtiques per econòmiques i empresarials, Media, 1995, Sant Cugat del Vallès
|
|
| 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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