Name: MATHEMATICS FOR BUSINESS I
Code: 510101008
Type: Basic
ECTS: 6
Length of subject: Per term
Semester and course: 1st Year - First term
Speciality:
Language: English
Mode of study: On-site class
Lecturer data: CAÑAVATE BERNAL, ROBERTO JAVIER
Knowledge area: Métodos Cuantitativos para la Economía y Empresa
Department: Métodos Cuantitativos, Ciencias Jurídicas y Lenguas Modernas
Telephone: 968325783
Email: r.canavate@upct.es
Office hours and location:
miércoles - 09:30 / 13:30
EDIFICIO DE LA FACULTAD CC EMPRESA, planta 3, Despacho 325
Horario orientativo. Se recomienda cita previa.
jueves - 12:00 / 14:00
EDIFICIO DE LA FACULTAD CC EMPRESA, planta 3, Despacho 325
Horario orientativo. Se recomienda cita previa.
Qualifications/Degrees:
Licensed in Mathematics from University of Murcia (SPAIN) - 1997
Academic rank in UPCT: Profesor Titular de Escuela Universitaria
Number of five-year periods: 4
Number of six-year periods: 0
Curriculum Vitae: Full Profile
[CB2 ]. Students are required to be able to apply their knowledge to their job or vocation in a professional manner, and to possess the skills that are usually demonstrated through the elaboration and defense of arguments and the resolution of problems within their area of study.
[CG2 ]. To apply mathematical-statistical methods and information and communication technologies to the treatment, assessment, and forecasting of economic-business information.
[CE08 ]. To identify the basic techniques of Algebra and Calculus and their application to the economic and business field.
[CT5 ]. Putting the acquired knowledge into practice
Aplicar conocimientos matemáticos a la formulación y resolución de problemas sencillos del ámbito económico-empresarial
Definir e identificar los conceptos básicos del Álgebra Lineal en el ámbito de los Espacios Vectoriales
Plantear y resolver problemas sencillos de Álgebra Lineal (incluyendo conceptos específicos relacionados con vectores, transformaciones lineales y formas cuadráticas), seleccionando de forma crítica los métodos y resultados teóricos más adecuados
Clasificar según su signo las formas cuadráticas tanto sin restringir como restringidas a subespacios vectoriales
Reconocer y manipular funciones matemáticas y económicas de una y de varias variables
Aplicar los conocimientos del cálculo diferencial e integral de funciones de una y varias variables a la resolución de problemas y la toma de decisiones en el ámbito económico y empresarial
Introducción de los elementos y herramientas matemáticas básicas del Álgebra Lineal. Consolidación de contenidos del Cálculo Diferencial en una variable, extensión a varias variables y análisis de algunas aplicaciones en el campo de la Economía y la Empresa.
Linear Algebra
1. Vector Spaces. Linear Maps.
2. Diagonal matrices. Quadratic Forms.
Differential and Integral Calculus
3. Differential Calculus and its applications to Business.
4. Integral Calculus.
Linear Algebra
1. Vector Spaces. Linear Maps. 2. Diagonal matrices. Quadratic forms.
Differential and Integral Calculus
3. Differential Calculus and its applications to Business. 4. Integral Calculus.
Promoting the continuous improvement of working and study conditions of the entire university community is one the basic principles and goals of the Universidad Politécnica de Cartagena. Such commitment to prevention and the responsibilities arising from it concern all realms of the university: governing bodies, management team, teaching and research staff, administrative and service staff and students. The UPCT Service of Occupational Hazards (Servicio de Prevención de Riesgos Laborales de la UPCT) has published a "Risk Prevention Manual for new students" (Manual de acogida al estudiante en materia de prevención de riesgos), which may be downloaded from the e-learning platform ("Aula Virtual"), with instructions and recommendations on how to act properly, from the point of view of prevention (safety, ergonomics, etc.), when developing any type of activity at the University. You will also find recommendations on how to proceed in an emergency or if an incident occurs. Particularly when carrying out training practices in laboratories, workshops or field work, you must follow all your teacher's instructions, because he/she is the person responsible for your safety and health during practice performance. Feel free to ask any questions you may have and do not put your safety or that of your classmates at risk.
Theory class: Activities consisting of training sessions to develop theoretical knowledge based on concepts and theories
Expository classes in which, in addition to the lecturer's presentation, doubts formulated by the students or detected by the lecturer are resolved, intercalated with practical examples and questions are posed to be resolved by the students (with or without marking). In this way, interaction with students is promoted. They allow the acquisition of competences CG2, CE08 and CT5, as well as learning outcomes (1) to (6).
23
100
Problem solving class: Activities consisting of training sessions to develop practical or applied knowledge based on problem solving exercises, or practical cases
Practical activities (questions, exercises, problems) in the classroom and similar activities to be solved by the student independently, individually or in groups (with or without marking), in the classroom or outside it. The practical classes allow the theoretical knowledge acquired to be put into practice, thus favouring the acquisition of the competences CG2, CE8 and CT5, and the learning outcomes (1), (3), (4) and (6).
34
100
Laboratory or field practice class: Activities aimed at developing practical or applied skills by the student supervised by a remote teacher
0
100
Practical class in the computer room: Activities for the acquisition of certain skills through the use of specific software
0
100
Seminars, tutorials led by teaching staff, conferences, visits, round tables, etc .: Activities to develop theoretical, practical or applied knowledge based on specific topics or views of the profession
0
100
Assessments (continuous assessment system): speaking or writing tests, presentations, individually or in groups, which should include the knowledge acquired in the classes. Formative and summative assessment activities are included here
Through the performance of partial exams and different activities of an eminently practical nature, the student's understanding of the subject and their progression in the acquisition of the competences CB2, CG2, CE08 and CT05, as well as the learning outcomes (1) to (6), will be determined.
3
100
Assessments (final assessment system): speaking or writing tests, individually or in groups, which should include the knowledge acquired in the classes. Summative evaluation is included
Through the performance of final exams, the student's understanding of the subject and their progression in the acquisition of the competences CB2, CG2, CE08 and CT05, as well as the learning outcomes (1) to (6), will be determined.
2
100
Tutorials: Individual or in groups, will serve to advise, resolve any doubts, guide, monitor work or the knowledge acquired
Resolution of doubts about theoretical and practical content, monitoring of learning outcomes (2), (4) and (5) and the resolution of practical tasks associated with learning outcomes (1), (3) and (6). learning outcomes (1), (3) and (6). The tutoring and mentoring activities guidance activities allow the determination of the progression and acquisition of competences CB2, CG2, CE08 and CT5 and learning outcomes (1) to (6) by the student on an individualised.
2
50
Carrying out individual or group assignments: Autonomous and / or collaborative learning to develop theoretical, practical or applied knowledge by carrying out projects, practice reports and / or assignments
Carrying out individual or group assignments. It allows the acquisition of the competences CB2, CG2, CE08 and CT5 and the learning learning outcomes (1) to (6).
3
0
Individual study: Time dedicated to studying the subject
Study, by the student, of contents related to the theoretical and practical classes, tutorials, etc. Preparing exams, library research, complementary reading, solving problems and exercises. It allows the acquisition of the competences CB2, CG2, CE08 and CT5 and the learning learning outcomes (1) to (6).
83
0
Spoken or written exams
Two individual written exams, with theoretical and practical questions/exercises/problems. They allow the acquisition of the competences CB2, CG2, CE08 and CT5 and the learning outcomes (1) to (6) to be assessed. - Partial Exam 1 (P1): It will assess the competences and learning outcomes related to the didactic unit "Linear Algebra" (Topics 1 and 2 of the syllabus of the subject). Maximum score: 4 points. Learning outcomes (1) to (4). - Partial Exam 2 (P2): It will assess the competences and learning outcomes related to the didactic unit "Differential and Integral Calculus" (Topics 3 and 4 of the syllabus of the subject). Maximum mark: 4 points. Learning outcomes (1), (5) and (6). In order to pass the subject in the Continuous Assessment system, the student must obtain at least 30% of the score of each partial exam (1.2 out of 4 points). In addition, the sum of all the grades of the Continuous Assessment activities must be higher or equal to 5 points (out of 10). If the student does not pass the subject in the Continuous Assessment system, but his/her grade in any of the partial exams reaches a minimum of 30% of the total grade of that exam, he/she may keep that grade for the equivalent part in the Final Assessment system for the rest of the academic year.
80 %
Participation and involvement in the teaching-learning process
We call this section "Block of Complementary Activities (AC)". It includes the performance, participation and involvement in different types of complementary activities, which allow the acquisition of the competences CG2, CE08 and CT5 and the learning outcomes (1) to (6): attendance and participation in classes, debate and performance of practical exercises proposed by the teacher, participation in the subject forums, performance of programmed or complementary practical activities. Some of these activities may be carried out in groups. Maximum mark: 2 points.
20 %
Evaluation of assignments and reports on practical sessions (final product, follow-up and contribution in the case of group work)
This section won't be taken into account for the final mark.
0 %
Spoken or written exams
The Final Assessment system will consist of a single assessment activity, consisting of an individual written exam, with theoretical and practical questions/exercises/problems. It allows to assess the acquisition of the competences CB2, CG2, CE08 and CT5 and the learning outcomes (1) to (6). This exam will consist of three parts, equivalent to the three parts of the Continuous Assessment system: - Part 1 (P1): Corresponds to the Partial Exam 1 of the Continuous Assessment. It assesses the competences and learning outcomes related to the didactic unit "Linear Algebra" (Topics 1 and 2). Maximum score: 4 points. Learning outcomes (1) to (4). - Part 2 (P2): Corresponds to the Partial Exam 2 of the Continuous Assessment. It assesses the competences and learning outcomes related to the didactic unit "Differential and Integral Calculus" (Topics 3 and 4). Maximum score: 4 points. Learning outcomes (1), (5) and (6). Part 3 (AC): This corresponds to the Complementary Activities block of the Continuous Assessment. Maximum score: 2 points. The acquisition of competences CG2, CE08 and CT5, and learning outcomes (1) to (6) will be assessed. The student must answer a series of additional questions and/or exercises included in the final exam, assessing the same competences and learning outcomes as the activities carried out in the equivalent part of the Continuous Assessment. When a student takes part P1 or P2, it is understood that he/she waives the qualification. P2, it is understood that he/she renounces to the qualification obtained in the equivalent part of the Continuous Assessment system. In order to pass the subject in the system of Final Assessment, the sum of all the marks of the Final Assessment activities must be activities must be higher than or equal to 5 points (out of 10). 10).
100 %
It makes it possible to check that the teaching-learning process is developing satisfactorily and to correct possible deficiencies, generating useful information for the teaching staff and for the students. Formative assessment is not intended to assign a grade to the student, but to check that the objectives established in the training process are being met. There will be activities to solve practical questions in class (not marking), and small control tests (not marking) based on questions during the course (not marking). The student will be asked questions during the course of the classes.
No aditional observations.
Author: Caballero Fernández, Rafael E.
Title: Matemáticas aplicadas a la economía y a la empresa 434 ejercicios resueltos y comentados
Editorial: Pirámide
Publication Date: 2007
ISBN: 9788436814897
Author: Alegre Escolano, Pedro
Title: Ejercicios resueltos de matemáticas empresariales 2
Editorial: AC
Publication Date: 2005
ISBN: 8472880753
Author: Sydsaeter, Knut
Title: Essential mathematics for economic analysis
Editorial: Pearson Education
Publication Date: 2012
ISBN: 9780273760689
Author: Caballero Fernández, Rafael E.
Title: Matemáticas aplicadas a la economía y a la empresa: 380 ejercicios resueltos y comentados
Editorial: Pirámide
Publication Date: 1993
ISBN: 8436807898
Author: Alegre Escolano, Pedro
Title: Ejercicios resueltos de matemáticas empresariales 1
Editorial: AC
Publication Date: 1993
ISBN: 8472880729
Author: Alcaraz Varó, Enrique
Title: Diccionario de términos económicos, financieros y comerciales inglés-español, spanish-english = A dictionary of economic financial and commercial terms Spanish-English
Editorial: Ariel,
Publication Date: 2012
ISBN: 9788434404977
Author: Sydsaeter, Knut
Title: Matemáticas para el análisis económico
Editorial: Pearson-Prentice Hall
Publication Date: 2012
ISBN: 9788483223154
Author: Camara Sánchez, Angeles
Title: Problemas resueltos de matemáticas para economía y empresa
Editorial: Thomson
Publication Date: 2003
ISBN: 8497321707
Author: Hoy, Michael
Title: Mathematics for Economics
Editorial: the Mit Press
Publication Date: 2011
ISBN: 9780262516228
Author: Cañavate Bernal, Roberto
Title: Matemáticas para la empresa una Introducción
Editorial: Horacio Escarabajal
Publication Date: 2002
ISBN: 8493165085
Author: Rodríguez Ruiz, Julián
Title: Matemáticas para la economía y empresa
Editorial: Académicas
Publication Date: 2007-2009
ISBN: 97884924771802
Author: Alcaraz Varó, Enrique
Title: Diccionario de términos económicos, financieros y comerciales inglés-español, Spanish-English
Editorial: Ariel
Publication Date: 2008
ISBN: 9788434445468
Author: Tebar Flores, E.
Title: 909 problemas de calculo integral: totalmente resueltos
Editorial: Tebar Flores
Publication Date: 1990
ISBN: 8473601033
Author: Balbás de la Corte, Alejandro
Title: Cálculo integral y sistemas dinámicos
Editorial: AC
Publication Date: 1988
ISBN: 8472881121
Author: Blanco García, Susana
Title: Matemáticas empresariales I enfoque teórico-práctico
Editorial: Thomson
Publication Date: 2002
ISBN: 8497321723
Author: Coronado, J. Luis
Title: Prácticas de Matemáticas con Derive
Editorial: Clagsa
Publication Date: 1994
ISBN: 8460489582
Author: Llorens Fuster, José Luis
Title: Introducción al uso de derive aplicaciones al álgebra y el cálculo
Editorial: Universidad Politécnica
Publication Date: 1993
ISBN: 847721199
Author: Balbás de la Corte, Alejandro
Title: Análisis matemático para la economia
Editorial: AC
Publication Date: 1989-2005
ISBN: 8472881121
Author: Pestana, Domingo
Title: Curso práctico de cálculo y precálculo
Editorial: Ariel
Publication Date: 2000
ISBN: 8434480301
Author: García Sestafe, José Vicente
Title: Matemáticas para la economía: (curso práctico): álgebra y cálculo
Editorial: Centro de Estudios Ramón Areces
Publication Date: 1999
ISBN: 8480043946
Author: Balbás de la Corte, Alejandro
Title: Cálculo diferencial
Editorial: AC
Publication Date: 1989
ISBN: 8472881113
Author: Sanz, Paloma
Title: Problemas de álgebra lineal cuestiones, ejercicios y tratamiento en Derive
Editorial: Prentice Hall
Publication Date: 2002
ISBN: 8483220091
Aula Virtual UPCT: https://aulavirtual.upct.es/
Canal Youtube BusinessMathsUPCT_BCobacho:
https://www.youtube.com/user/BusinessMathsUPCT
Cobacho, B. Canal UPCTMedia (vídeos docentes Matemáticas para la Empresa I):
Cálculo (vídeos en castellano): https://media.upct.es/profesor/?id=99&folder=264
Álgebra (vídeos en inglés): https://media.upct.es/profesor/?id=99&folder=269
Cálculo (vídeos en inglés): https://media.upct.es/profesor/?id=99&folder=275
Canal UPCTMedia (vídeos docentes Matemáticas para la Empresa II):
Optimización (vídeos en inglés): https://media.upct.es/profesor/?id=99&folder=271
Programación Lineal (vídeos en inglés): https://media.upct.es/profesor/?id=99&folder=272
LasMatematicas.es. Vídeos con contenidos de Matemáticas de Educación Secundaria y Superior:
http://www.dmae.upct.es/~juan/matbas/matbas.htm
Quesada Ibarguen, V.M., Vergara Schmalbach, J.C. Análisis Cuantitativo con WINQSB:
https://juancarlosvergaras.files.wordpress.com/2013/04/libro-winqsb.pdf
Business dictionaries:
¿ http://www.businessdictionary.com/
¿ http://www.prenhall.com/glossary/a.html
¿ http://www.ats-group.net/dictionaries/dictionary-business-english-spanish.html
¿ Alcaraz, E., Hughes, B. Diccionario de términos económicos, financieros y comerciales. Ariel Economía. [Inglés - Español Spanish - English dictionary].
https://upct.ent.sirsidynix.net.uk/client/es_ES/default/search/detailnonmodal/ent:$002f$002fSD_ILS$002f0$002fSD_ILS:299886/one
Other resources:
¿ Mathematics for Business II in OCW UPCT: http://ocw.bib.upct.es/course/view.php?id=146.
¿ UPCTMedia, videos with exercises for Mathematics for Business I (B. Cobacho):
Optimization (videos in English): https://media.upct.es/profesor/?id=99&folder=271
Linear Programming (videos in English): https://media.upct.es/profesor/?id=99&folder=272
¿ An introduction to Problem Solving and Decision Making using computer software: http://es.scribd.com/doc/30800096/Problem-Solving-Decision-Making-Support
¿ Pronunciation dictionaries
http://www.howjsay.com
http://www.acapela-group.com/text-to-speech-interactive-demo.html
¿ Some mathematical terms: http://www.speakenglish.co.uk/vocab/shapes_and_mathematical_terms?lang=es
¿ Pronunciation of mathematical expressions in English: http://sigloxxi.fcie.uam.es/informatica/media/math-pronunciation.pdf
¿ Mathematical expressions and terms Spanish-English-Spanish: http://esl.proz.com/glossary-translations/spanish-to-english-translations/89/