Guías Docentes Electrónicas
1. General information
Course:
MATEMÁTICAS I PARA LA ECONOMÍA
Code:
53304
Type:
BASIC
ECTS credits:
9
Degree:
316 -
Academic year:
2019-20
Center:
5 -
Group(s):
10  17 
Year:
1
Duration:
AN
Main language:
Spanish
Second language:
Use of additional languages:
English Friendly:
Y
Web site:
Bilingual:
N
Lecturer: MARIA ELISA AMO SAUS - Group(s): 10  17 
Building/Office
Department
Phone number
Email
Office hours
Melchor de Macanaz/3.05
ANÁLISIS ECONÓMICO Y FINANZAS
2333
elisa.amo@uclm.es
Ver web de la Facultad o página Moodle de la asignatura.

Lecturer: JUAN FRANCISCO ORTEGA DATO - Group(s): 10  17 
Building/Office
Department
Phone number
Email
Office hours
Melchor de Macanaz
ANÁLISIS ECONÓMICO Y FINANZAS
8281
juanfco.ortega@uclm.es
Ver web de la Facultad o página Moodle de la asignatura.

2. Pre-Requisites

In general, the knowledge that is required to successful follow a course in maths relates with the basic algebraic properties of polynomials, logarithms and solving linear equations. It is relevant a basic use of derivatives, including the standard techniques (sums, products and chain rule), as well as basic integration. Finally, it is also important to know the basic techniques for function representations and in particular the representation of the main functions.

3. Justification in the curriculum, relation to other subjects and to the profession

The courses in maths in this degree, provide with formal methods to other courses in the degree, like Statistics, Economy and Finance.

In relation with professional skills, the main goal of the course is to introduce, from a mathematical perspective, the models and methods of quantitative analysis, including methods for decision making.


4. Degree competences achieved in this course
Course competences
Code Description
E03 Ability to find economic data and select relevant facts.
E06 Application of profesional criteria to the analysis of problems, based on the use of technical tools.
G01 Possession of the skills needed for continuous, self-led, independent learning, which will allow students to develop the learning abilities needed to undertake further study with a high degree of independence.
G03 Develop oral and written communication skills in order to prepare reports, research projects and business projects and defend them before any commission or group of professionals (specialised or non-specialised) in more than one language, by collecting relevant evidence and interpreting it appropriately so as to reach conclusions.
G04 Ability for the use and development of information and communication technology in the development of professional activity.
G05 Capacity for teamwork, to lead, direct, plan and supervise multidisciplinary and multicultural teams in both national and international environments.
5. Objectives or Learning Outcomes
Course learning outcomes
Description
Enable student for autonomous work and learning, as well as for personal initiative
Train the student to work out problems in creative and innovative ways.
To know the tools and methods for quantitative analysis of markets, sectors and companies, including models for decision-making and economic forecasting models.
Additional outcomes
Description
6. Units / Contents
  • Unit 1: Basic Elements of Linear Algebra
    • Unit 1.1:
    • Unit 1.2:
    • Unit 1.3:
    • Unit 1.4:
  • Unit 2: Vector Space Rn
    • Unit 2.1:
    • Unit 2.2:
    • Unit 2.3:
    • Unit 2.4:
  • Unit 3: Linear applications and associated matrices
    • Unit 3.1:
    • Unit 3.2:
    • Unit 3.3:
  • Unit 4: Matrix diagonalization
    • Unit 4.1:
    • Unit 4.2:
    • Unit 4.3:
    • Unit 4.4:
    • Unit 4.5:
  • Unit 5: Quadratic forms
    • Unit 5.1:
    • Unit 5.2:
  • Unit 6: Real numbers. Sequences and Series
    • Unit 6.1:
    • Unit 6.2:
    • Unit 6.3:
    • Unit 6.4:
  • Unit 7: Real functions of a real variable
    • Unit 7.1:
    • Unit 7.2:
  • Unit 8: Real functions of a real variable
    • Unit 8.1:
    • Unit 8.2:
  • Unit 9: The definite integral
    • Unit 9.1:
    • Unit 9.2:
    • Unit 9.3:
ADDITIONAL COMMENTS, REMARKS

This subject, Matemáticas I para la Economía, consists of 9 units of Linear Algebra (units 1-5), 2 units of one-variable Calculus (units 6 and 7) and 2 units of Integration (units 8 and 9).


7. Activities, Units/Modules and Methodology
Training Activity Methodology Related Competences ECTS Hours As Com R Description
Class Attendance (theory) [ON-SITE] Lectures E06 G01 E03 G03 G04 2 50 N N N
Class Attendance (practical) [ON-SITE] Problem solving and exercises E06 G01 E03 G03 G04 1 25 N N N
Progress test [ON-SITE] Assessment tests E06 G05 G01 E03 G03 G04 0.08 2 Y N Y
Progress test [ON-SITE] Assessment tests E06 G01 E03 G03 G04 0.08 2 Y N N
Progress test [ON-SITE] Assessment tests E06 G01 E03 G03 G04 0.08 2 Y N Y
Final test [ON-SITE] Assessment tests E06 G01 E03 G03 G04 0.12 3 Y Y Y
Study and Exam Preparation [OFF-SITE] Self-study E06 G05 G01 E03 G03 G04 2.68 67 Y N Y
Other off-site activity [OFF-SITE] Problem solving and exercises E06 G05 G01 E03 G03 G04 2.18 54.5 N N N
Study and Exam Preparation [OFF-SITE] Self-study E06 G01 E03 G03 G04 0.78 19.5 N N N
Total: 9 225
Total credits of in-class work: 3.36 Total class time hours: 84
Total credits of out of class work: 5.64 Total hours of out of class work: 141
As: Assessable training activity
Com: Training activity of compulsory overcoming
R: Rescheduling training activity
8. Evaluation criteria and Grading System
  Grading System  
Evaluation System Face-to-Face Self-Study Student Description
Self Evaluation and Co-evaluation 10.00% 0.00%
Progress Tests 20.00% 0.00%
Progress Tests 35.00% 0.00%
Final test 35.00% 0.00%
Total: 100.00% 0.00%  

Evaluation criteria for the final exam:
Progress test: It will be compulsory the realization of the partial test of linear algebra. (35% of the final mark of the subject)
Final test: If the student eliminate the subject of linear algebra must pass the part of in this final ordinary test. (35% of the final mark of the subject)
In the case of not eliminating the part of linear algebra, this final ordinary test will content as linear algebra as Calculus and Integration and it will be the 70% of the final mark.
In both cases it realization will be compulsory.
Specifications for the resit/retake exam:
¿Other evaluation activities¿ during the regular teaching periodmanteins the mark in the extraordinary convocatory being non-recoberable.
Those students who have elimated the part of algebra are able to mantein their mark and take an exam only of Calculus and Integration . In this case, the test will be the 45% of the final mark.
Those students who had not eliminated the part of algebra they will take the complete contents of the subject. In this case, the valoration of the final test will be the 90% of the total of the evaluation.
Specifications for the second resit / retake exam:
Second Resit/retake exam (just at the end of the Degree): It will consist in a test evaluating all units in the course and will contribute with 100% of the weight.
9. Assignments, course calendar and important dates
Not related to the syllabus/contents
Hours hours
Class Attendance (theory) [PRESENCIAL][Lectures] 50
Class Attendance (practical) [PRESENCIAL][Problem solving and exercises] 25
Progress test [PRESENCIAL][Assessment tests] 2
Progress test [PRESENCIAL][Assessment tests] 2
Progress test [PRESENCIAL][Assessment tests] 2
Final test [PRESENCIAL][Assessment tests] 3
Study and Exam Preparation [AUTÓNOMA][Self-study] 67
Other off-site activity [AUTÓNOMA][Problem solving and exercises] 54.5
Study and Exam Preparation [AUTÓNOMA][Self-study] 19.5

Global activity
Activities hours
10. Bibliography and Sources
Author(s) Title Book/Journal Citv Publishing house ISBN Year Description Link Catálogo biblioteca
 
Arvesú, J.; Marcellán, F.; y Sánchez, J. Problemas resueltos de álgebra lineal. Thomson 2005  
Barbolla, R. Y Sanz, P. Algebra lineal y teoría de matrices Prentice Hall 1998  
Blanco García, S.; García Pineda, P. Y Pozo García, E. Del. Matemáticas empresariales I. Enfoque teórico y práctico. Vol 2. Cálculo MADRID AC 84-9732-172-3 2002 Ficha de la biblioteca
Blanco García, S.; García Pineda, P. Y Pozo García, E. Del. Matemáticas empresariales I. Enfoque teórico y práctico. Vol I. Álgebra lineal. MADRID AC 84-9732-171-5 2002 Ficha de la biblioteca
Bradley, G. L. y K. J. Smith Cálculo en una variable. Volumen 1 Prentice Hall 1998  
Burgos Román, Juan de Cálculo diferencial : (una y varias variables) : 126 problem García-Maroto 978-84-937509-0-9 2010 Ficha de la biblioteca
Burgos Román, Juan de Cálculo integral : test y problemas García-Maroto 978-84-937509-5-4 2010 Ficha de la biblioteca
Burgos Román, Juan de Test de cálculo infinitesimal : (enunciados, respuestas y ju García-Maroto 978-84-92976-93-5 2010 Ficha de la biblioteca
Burgos Román, Juan de Cálculo de una variable real : enunciados, respuestas y just García-Maroto 978-84-937509-9-2 2010 Ficha de la biblioteca
Calvo, M.E. y Otros Problemas resueltos de matemáticas aplicadas a la economía y la empresa AC 2003  
Cancelo, J. R., López Ortega, J. Y Otros Problemas de álgebra lineal para economistas. Tomo II Tebar Flores 1995  
Chiang, Alpha C. Métodos fundamentales de economía matemática McGraw-Hill Interamericana 970-10-5614-0 2006 Ficha de la biblioteca
Coquillat, F. (Fernando Coquillat Durán) Cálculo integral : metodología y problemas Tébar Flores 84-7360-168-8 1997 Ficha de la biblioteca
David C. Lay , Steven R. Lay and Judi J. McDonald Linear Algebra and Its Applications PEARSON 2016  
García, A., García, F. y A. Gutiérrez Cálculo I. Teoría y Problemas de Análisis Matemático en una Variable CLAGSA 1998  
Gilbert Strang Introduction to Linear Algebra Wellesley - Cambridge Press 978-0-9802327-7-6 2016  
Granero, F. Cálculo Integral y Aplicaciones Prentice Hall 2001  
Jarne, G. , Perez-Grasa, J. Matemáticas para la economía Mc Graw Hill. 1997  
Larson, R. E.; Hostetler, R. P.; Edwards, B. H. Cálculo Mc Graw Hill. 1999  
Lay, David, C. Álgebra lineal y sus aplicaciones México Pearson Educacion 978-607-32-1398-1 2012 Ficha de la biblioteca
López, M. y Vegas, A. Curso básico de matemáticas para la economía y la dirección de empresas I. Pirámide 2001  
Stewart, J. Cálculo en una variable Thomson 2001  



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