Guías Docentes Electrónicas
1. General information
Course:
MATHEMATICS FOR ECONOMICS I
Code:
53304
Type:
BASIC
ECTS credits:
9
Degree:
316 - UNDERGRADUATE DEGREE IN ECONOMICS
Academic year:
2022-23
Center:
5 - FACULTY OF ECONOMICS AND BUSINESS
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
926053077
elisa.amo@uclm.es

Lecturer: JUAN FRANCISCO ORTEGA DATO - Group(s): 10  17 
Building/Office
Department
Phone number
Email
Office hours
Melchor de Macanaz
ANÁLISIS ECONÓMICO Y FINANZAS
926053328
juanfco.ortega@uclm.es

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
Train the student to work out problems in creative and innovative ways.
Train the student to listen to and defend arguments orally or in writing
To know the tools and methods for quantitative analysis of markets, sectors and companies, including models for decision-making and economic forecasting models.
Enable student for autonomous work and learning, as well as for personal initiative
Train the student to search for information in order to analyze it, interpret is meaning, synthesize it and communicate it to others.
Additional outcomes
Description
6. Units / Contents
  • Unit 1: Basic Elements of Linear Algebra
  • Unit 2: Vector Space Rn
  • Unit 3: Linear applications and associated matrices
  • Unit 4: Matrix diagonalization
  • Unit 5: Quadratic forms
  • Unit 6: Real numbers. Sequences and Series
  • Unit 7: Real functions of a real variable
  • Unit 8: Real functions of a real variable
  • Unit 9: The definite integral
ADDITIONAL COMMENTS, REMARKS

This subject, Matemáticas I para la Economía, consists of 5 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 (only degrees before RD 822/2021) ECTS Hours As Com Description
Class Attendance (theory) [ON-SITE] Lectures E03 E06 G01 G03 G04 2 50 N N
Class Attendance (practical) [ON-SITE] Problem solving and exercises E03 E06 G01 G03 G04 1 25 N N
Other on-site activities [ON-SITE] Assessment tests E03 E06 G01 G03 G04 0.08 2 Y Y
Progress test [ON-SITE] Assessment tests E03 E06 G01 G03 G04 G05 0.08 2 Y Y
Final test [ON-SITE] Assessment tests E03 E06 G01 G03 G04 0.12 3 Y Y
Other off-site activity [OFF-SITE] Problem solving and exercises E03 E06 G01 G03 G04 G05 2.18 54.5 N N
Study and Exam Preparation [OFF-SITE] Self-study E03 E06 G01 G03 G04 G05 2.68 67 N N
Study and Exam Preparation [OFF-SITE] Self-study E03 E06 G01 G03 G04 0.78 19.5 N N
Mid-term test [ON-SITE] Assessment tests E03 E06 G01 G03 G04 0.08 2 Y Y
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 (It will be essential to overcome both continuous and non-continuous assessment).

8. Evaluation criteria and Grading System
Evaluation System Continuous assessment Non-continuous evaluation * Description
Final test 0.00% 100.00%
Mid-term tests 35.00% 0.00%
Assessment of active participation 10.00% 0.00%
Progress Tests 5.00% 0.00%
Mid-term tests 35.00% 0.00%
Assessment of active participation 10.00% 0.00%
Progress Tests 5.00% 0.00%
Total: 100.00% 100.00%  
According to art. 4 of the UCLM Student Evaluation Regulations, it must be provided to students who cannot regularly attend face-to-face training activities the passing of the subject, having the right (art. 12.2) to be globally graded, in 2 annual calls per subject , an ordinary and an extraordinary one (evaluating 100% of the competences).

Evaluation criteria for the final exam:
  • Continuous assessment:
    The subject follows an evaluation system based on the assessment of various training activities and an exam. The student is required to obtain at least a 4 in the final evaluation test to make an average with the grade obtained in the rest of the proposed training activities. Any student may change to the non-continuous assessment mode as long as they have not participated during the class teaching period in assessable activities that together account for at least 50% of the total assessment of the subject and, in that case, they must communicate it before the end of the class period.

    Regarding the evaluation in case of illness or other special circumstances (mitigating rules), see article 6 of the Student Evaluation Regulation of the University of Castilla-La Mancha.
  • Non-continuous evaluation:
    The evaluation will be carried out with a final test that will include the specific tests that are considered necessary to evaluate all the competencies of the subject.
    Regarding the evaluation in case of illness or other special circumstances (mitigating rules), see article 6 of the Student Evaluation Regulation of the University of Castilla-La Mancha.

Specifications for the resit/retake exam:
If the student has passed any of the partial exams in the ordinary call with a grade of 5 or higher, they will not have to re-examine that part and will only recover the one they have not passed. In case of not having passed any of the two, the student will have to take an exam for the entire subject.
Specifications for the second resit / retake exam:
The evaluation will be carried out on a single written exam, being necessary to pass the subject a minimum score of 5 out of 10.
9. Assignments, course calendar and important dates
Not related to the syllabus/contents
Hours 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
Blanco, M.A.; Corcho, P.I.; Franco, A.; Guerrero M.M. y Polo C. Teoría y Ejercicios de Matemáticas para la Economía y la Empresa García Maroto Editores 84-17969-55-1 2021  
Bradley, G. L. y K. J. Smith Cálculo en una variable. Volumen 1 Prentice Hall 1998  
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
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
Calderón, S. y Rey, M.L. Matemáticas para la economía y la empresa Madrid Pirámide 2012  
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
Courant, R. y Fritz, J. Introduction to calculus and analysis New York Springer-Verlag 3-540-65058-X 1999  
David C. Lay , Steven R. Lay and Judi J. McDonald Linear Algebra and Its Applications PEARSON 2016  
Fedriani, E. M. y M. C. Melgar Matemáticas para el éxito empresarial Madrid Pirámide 2010  
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  
Grossman, S. I. Calculus of one variable Fort Worth Saunders College Publishing 0-03-096614-0  
Hoy, M.; Livernois, J.; McKenna, C.; Rees, R. and Stengos, T. Mathematics for Economics (second edition) London, England. MIT press. 0-262-58207-4 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  
Matilla, M. Matemáticas para los grados en economía y empresa: álgebra lineal teoría Madrid Ediciones Académicas 978-84-946980-5  
Minguillón, E. Matemáticas para la economía: álgebra lineal y cálculo diferencial: libro de ejercicios MacGraw-Hill 84-481-4071-0978-84- 2010  
Roy, S. A First Course in Mathematical Economics Newcastle, UK. Cambridge Scholars Publishing 1-5275-4723-X 2020  
Salas, S. L. Salas and Hille's calculus : one and several variable. 7th ed New York John Wiley & Sons 0-471-58719-2  
Stewart, J. Cálculo en una variable Thomson 2001  



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