Name: MATHEMATICS FOR BUSINESS II
Code: 510202005
Type: Compulsory
ECTS: 4.5
Length of subject: Per term
Semester and course: 2nd 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: Tutorials will be carried out by request of the student sending an email to belen.cobacho@upct.es
Qualifications/Degrees:
Academic rank in UPCT: Profesora Titular de Universidad
Number of five-year periods: 5
Number of six-year periods: 1 de investigación
Curriculum Vitae: Full Profile
Responsible for the groups: G1, G2
Introducción a la optimización de funciones generales de varias variables aplicando técnicas del Cálculo Diferencial. Introducción a la Programación Lineal y formulación de problemas de optimización en general y de Programación Lineal en particular. Algoritmos de resolución de problemas de Programación Lineal e interpretación de las soluciones.
Teaching Unit 1. Introduction to Linear Programming
Topic 1. Basic concepts on Optimization
Topic 2. An introduction to Linear Programming
Teaching Unit 2. Optimization of real functions with several variables
Topic 3. Basic concepts on Topology
Topic 4. Global optimization
Topic 5. Local Optimization
Teaching Unit 1. Introduction to Linear Programming
Topic 1. Basic concepts on Optimization Topic 2. An introduction to Linear Programming
Teaching Unit 2. Optimization of real functions with several variables
Topic 3. Basic concepts on Topology Topic 4. Global optimization Topic 5. Local optimization
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") under the "Act in an Emergency" section, "Technical Guides" tab, 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, in the "Act in an Emergency", sectionrecommendations 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
Lectures in which, in addition to the instructor's explanations, questions posed by students or identified by the instructor are addressed. These sessions are interspersed with practical examples and include questions for students to solve (whether graded or not). This approach encourages student interaction and contributes to the achievement of learning outcomes RA19 and RA35.
Practical activities (questions, exercises, problems) carried out in the classroom, along with similar activities assigned for students to complete independently (either individually or in groups), inside or outside the classroom (whether graded or not). Practical sessions allow students to apply the theoretical knowledge acquired, thereby supporting the achievement of learning outcomes RA19 and RA35.
30
100
Class in a computer classroom: practical classes / internships
Formulation and solving of problems using specific software in the computer classroom, along with interpretation of results. This activity contributes to the achievement of learning outcomes RA19 and RA35.
15
100
Final and ongoing assessment activities outside class hours.
The student's comprehension of the subject and attainment of learning outcomes RA19 and RA35 will be evaluated through a series of assessable activities, including a final examination.
4
100
Tutorials
Addressing questions related to theoretical and practical content, along with individualized monitoring of the student's progress toward learning outcomes RA19 and RA35.
1.5
80
Student work: study or individual or group work
Completion of practical exercises individually or in groups. Supports the achievement of learning outcomes RA19 and RA35.
Student's independent study of content related to lectures, practical sessions, and tutorials, etc. This includes exam preparation, library research, complementary readings, and solving problems and exercises. Supports the achievement of learning outcomes RA19 and RA35.
62
0
Spoken or written exams
Two assessment activities in the form of exams (A1, A2) will be carried out. These exams will consist of theoretical and/or practical exercises and questions and may include multiple-choice questions (test-type assessment), in which case incorrect answers will be penalized by an amount equal to or greater than the probability of obtaining the correct answer by random guessing. Some exercises may require the use of specific software.
Assessment activity A1 will take place during the first half of the teaching period as a continuous assessment activity. It will cover the teaching unit *Introduction to Linear Programming* and will account for 20% of the final grade.
Assessment activity A2 will be integrated into the final examination of the course during the official final assessment period. It will cover the teaching unit *Optimization of Functions of Several Variables* and will account for 80% of the final grade.
No minimum mark is required in any of these assessment activities. Activity A1 (20%) will have an equivalent resit assessment in both the ordinary and extraordinary final assessment periods, maintaining the same weighting. Likewise, activity A2 (80%) will have an equivalent assessment in the extraordinary final assessment period with the same weighting. Students may resit either assessment activity, A1 and/or A2, and therefore remain eligible to obtain 100% of the final grade.
Students who repeat an assessment activity will automatically forfeit any grade previously obtained in that activity.
Learning outcomes: RA19 and RA35.
100 %
Formative assessment makes it possible to verify that the teaching learning process is progressing satisfactorily and to identify and correct potential deficiencies, providing useful feedback for both lecturers and students. Formative assessment is not intended to assign a grade to students, but rather to determine whether the objectives established in the learning process are being achieved. Practical problem-solving activities will be carried out in class (not graded), together with short progress checks (not graded) based on questions posed during class sessions.
There are no additional remarks; all relevant information is provided in the corresponding sections.
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: Ríos Insua, Sixto
Title: Investigación operativa: Programación lineal y aplicaciones
Editorial: CEURA
Publication Date: 1996
ISBN: 8480042060
Author: Martín Martín, Quintín
Title: Investigación operativa problemas y ejercicios resueltos
Editorial: Prentice Hall
Publication Date: 2005
ISBN: 8420544663
Author: Hoy, Michael
Title: Mathematics for Economics
Editorial: the Mit Press
Publication Date: 2011
ISBN: 9780262516228
Author: Barbolla, Rosa
Title: Optimización cuestiones, ejercicios y aplicaciones a la economía
Editorial: Prentice Hall
Publication Date: 2001
ISBN: 8420529923
Author: Hillier, Frederick S.
Title: Introduction to operations research
Editorial: McGraw-Hill
Publication Date: 2005
ISBN: 007123828
Author: Camara Sánchez, Angeles
Title: Problemas resueltos de matemáticas para economía y empresa
Editorial: Thomson
Publication Date: 2008
ISBN: 9788497321709
Author: Salazar González, Juan José
Title: Programación matemática
Editorial: Díaz de Santos
Publication Date: 2001
ISBN: 8479785047
Author: Taha, Hamdy A.
Title: Operations research an introduction
Editorial: Prentice
Publication Date: 2011
ISBN: 0131391992
Modelos de Optimización en la Economía y la Empresa. Delgado, El Gibari et al. (2025). UMAEditorial. https://monografias.uma.es/index.php/mumaed/catalog/view/236/330/2597
Cañavate, R. Canal Youtube Introducción a WinQSB: http://es.youtube.com/robertocanavate
Cobacho, B. Canal Youtube Business Maths UPCT: https://www.youtube.com/user/BusinessMathsUPCT