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: COBACHO TORNEL, MARÍA BELÉN
Knowledge area: Métodos Cuantitativos para la Economía y Empresa
Department: Métodos Cuantitativos, Ciencias Jurídicas y Lenguas Modernas
Telephone: 968325402
Email: belen.cobacho@upct.es
Office hours and location:
Qualifications/Degrees:
Academic rank in UPCT: Profesora Titular de Universidad
Number of five-year periods: 4
Number of six-year periods: 1 de investigación
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
Apply mathematical knowledge to the formulation and resolution of simple problems in the economic-business field.
Define and identify the basic concepts of Linear Algebra in the field of Vector Spaces.
Set out and solve simple linear algebra problems (including specific concepts related to vectors, linear transformations and quadratic forms), selecting the most appropriate methods and theoretical results.
Classify, according to their sign, quadratic forms both unrestricted and restricted to vector subspaces.
Recognise and manipulate mathematical and economic functions of one and several variables.
Apply knowledge of differential and integral calculus of functions of one and several variables to problem solving and decision making in business and economics.
Introduction to the basic mathematical elements and tools of Linear Algebra. Consolidation of the contents of Differential Calculus in one variable, extension to several variables and analysis of some applications in the field of Economics and Business.
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.
Class in conventional classroom: theory, problems, case studies, seminars, etc
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).
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).
57
100
Assessment activities (continuous assessment system)
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
Assessment activities (final assessment system)
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
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). 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 individualized.
1
50
Student work: study or individual or group work
Carrying out individual or group assignments. It allows the acquisition of the competences CB2, CG2, CE08 and CT5 and the learning outcomes (1) to (6).
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 outcomes (1) to (6).
87
0
Spoken or written exams
Two individual written exams, with theoretical and practical questions/exercises/problems. They could include multiple-choice questions, in which case, any wrong answer could be penalized with a negative grade greater than or equal the probability of guessing it randomly. These exams allow the acquisition of the competences CB2, CG2, CE08 and CT5 and the learning outcomes (1) to (6) to be assessed.
- Midterm Test 1 (T1): 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: 40% of the global mark. Learning outcomes (1) to (4).
- Midterm Test 2 (M2): 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: 40% of the global mark. 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 total score of each midterm test. In addition, the sum of all the grades of the Continuous Assessment activities must be greater or equal to 5 points (out of 10). If one 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, they may keep that grade for the equivalent part in the Final Assessment system.
80 %
Participation and involvement in the teaching-learning process
We call this section "Complementary Activities (CA) block". 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. These activities could incluse multiple-choice questions, in which case, a wrong answer could be penalized with a mark greater than or equal the probability of guessing ramdomly. Maximum mark: 20% of the global mark.
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 could include multiple-choice questions, in which case, any wrong answer could be penalized with a negative grade greater than or equal the probability of guessing it randomly. This exam allows assessing 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 (T1): Corresponds to the Midterm Test 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: 40% of the global mark. Learning outcomes (1) to (4).
- Part 2 (T2): Corresponds to the Midterm Test 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: 40% of the global mark. Learning outcomes (1), (5) and (6).
Part 3 (CA): 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 T1 or T2, it is understood that he/she renounces to the grade 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 higher than or equal to 5 points (out of 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/