Name: MATHEMATICS FOR BUSINESS II
Code: 510102010
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: 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.
[CE19 ]. Identify, formulate and solve optimisation problems with multiple variables and basic linear programming problems
[CT5 ]. Putting the acquired knowledge into practice
Plantear y resolver problemas de optimización local con varias variables seleccionando de forma crítica los métodos y resultados teóricos más adecuados
Identificar conjuntos convexos sencillos
Distinguir las funciones de varias variables convexas y/o cóncavas sobre un conjunto
Aplicar los conceptos de convexidad y concavidad a problemas de optimización de varias variables
Reconocer y formular problemas sencillos de programación lineal
Describir procedimiento para resolver gráficamente los resultados de problemas de programación lineal de dos variables
Aplicar algoritmos de resolución de problemas de programación lineal de múltiples variables e interpretar y analizar sus resultados
Aplicar los conocimientos adquiridos sobre optimización en el ámbito empresarial
Introduction to the optimization of general functions of several variables by applying differential calculus techniques. Introduction to linear programming and formulation of optimization problems in general and linear programming in particular. Algorithms for solving linear programming problems and interpretation of solutions.
Optimization
Unit 1. Local optima
Unit 2. Convexity and concavity
Introduction to Linear Programming
Unit 3. Linear Programming. The Simplex method
Optimization
Unit 1. Local optima Unit 2. Convexity and concavity
Introduction to Linear Programming
Unit 3. Linear Programming. The Simplex method
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, CE19 and CT5, as well as learning outcomes (1) to (8).
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, CE19 and CT5, and the learning outcomes (1), (4), (5), (7) and (8).
33
100
Problem solving class: Activities consisting of training sessions to develop practical or applied knowledge based on problem solving exercises, or practical cases
0
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
Problem-solving through of use of specific software in the computer classroom. It contributes to the acquisition of competences CB2, CG2, CE19 and CT5, as well as learning outcomes (8) and (9).
9
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
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, CE19 and CT5, as well as the learning outcomes (1) to (8), 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, CE19 and CT5, as well as the learning outcomes (1) to (8), 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). The tutoring and mentoring activities guidance activities allow the determination of the progression and acquisition of competences CB2, CG2, CE19 and CT5 and learning outcomes (1) to (7) by the student on an individualized.
1.5
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, CE19 and CT5 and the learning outcomes (1) to (7).
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, CE19 and CT5 and the learning outcomes (1) to (7).
64
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, CE19 and CT5 and the learning outcomes (1) to (8) to be assessed.
- Midterm 1 (M1): It will assess the competences and learning outcomes related to the didactic unit "Optimization" (Units 1 and 2 of the syllabus of the subject). Maximum score: 4 points. Learning outcomes (1), (2), (3), (4) and (8).
- Midterm 2 (M2): It will assess the competences and learning outcomes related to the didactic unit "Introduction to Linear Programming" (Unit 3 of the syllabus of the subject). Maximum mark: 4 points. Learning outcomes (5) to (8).
In order to pass the subject in the Continuous Assessment system, the sum of all the grades of the Continuous Assessment activities must be higher than or equal to 5 points (out of 10).
80 %
Participation and involvement in the teaching-learning process
We call this section "Block of Complementary Activities (CA)". It includes the performance, participation and involvement in different types of complementary activities, which allow the acquisition of the competences CG2, CE19 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)
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 assessing the acquisition of the competences CB2, CG2, CE19 and CT5 and the learning outcomes (1) to (8). This exam will consist of three parts, equivalent to the three parts of the Continuous Assessment system:
- Part 1 (M1): Corresponds to the Midterm 1 of the Continuous Assessment. It assesses the competences and learning outcomes related to the didactic unit "Optimization" (Units 1 and 2). Maximum score: 4 points. Learning outcomes (1), (2), (3), (4) and (8).
- Part 2 (M2): Corresponds to the Midterm 2 of the Continuous Assessment. It assesses the competences and learning outcomes related to the didactic unit "Introduction to Linear Optimization" (Unit 3). Maximum score: 4 points. Learning outcomes (5) to (8).
- Part 3 (CA): This corresponds to the Complementary Activities block of the Continuous Assessment. Maximum score: 2 points. The acquisition of competences CG2, CE19 and CT5, and learning outcomes (1) to (8) 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.
In order to pass the subject in the Continuous Assessment system, the sum of all the grades of the Continuous 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.
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