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2023/2024

Mathematics Applied to Management

Code: 106929 ECTS Credits: 6
Degree Type Year Semester
2503743 Management of Smart and Sustainable Cities FB 1 2

Contact

Name:
Montserrat Meneses Benitez
Email:
montse.meneses@uab.cat

Teaching groups languages

You can check it through this link. To consult the language you will need to enter the CODE of the subject. Please note that this information is provisional until 30 November 2023.


Prerequisites

The knowledge required to complete the subject is, basically, the basic mathematics skills of the middle school level.
										
											
										
											It is also recommended to have passed, or at least completed, the subject of the first semester of the first year of the degree itself, especially the Mathematics applied to Engineering.
 

Objectives and Contextualisation

The subject of Mathematics Applied to Management has two main objectives:
										
											
										
											- Introduce the basic probability and statistical tools to analyze data from the description of natural phenomena or experiments, focusing on their correct use and the interpretation of the results.
										
											
										
											- Introduce Operational Research concepts that are especially useful in management and include linear optimization, decision-making tools and graphs for project management: CPM and PERT methods.
										
											
										
											The theory and problem classes will be complemented with practical classes with the aim of the student doing complementary work in order to achieve the objectives.

Learning Outcomes

  • CM02 (Competence) Use applied mathematics in innovative solutions to solve projects related to the management, equity and sustainability of cities.
  • KM01 (Knowledge) Explain urban territorial and social processes using relevant theoretical and conceptual mathematical frameworks.
  • KM03 (Knowledge) Distinguish the main statistical sources of urban data.
  • SM01 (Skill) Identify situations characterised by the presence of randomness and analyse them using basic probabilistic tools.
  • SM03 (Skill) Use mathematical tools to solve urban or regional management and planning problems.

Content

BLOCK I: STATISTICS
Topic 1. Descriptive statistics.
Descriptive statistics. Descriptive study of a variable: categorical (sector diagram) and quantitative (mean, deviation, bar diagram and histogram). Descriptive study of two variables: categorical (contingency tables) and quantitative (regression line, correlation coefficient).
Topic 2. Probability. Notion of probability. Conditional probability and independence of events. Statistical distributions. Examples of application in engineering. Random variables. Expectation and variance of a random variable. Examples: binomial and normal. Approximation of the binomial by the normal. Independence of random variables. Basic concepts of stochastic processes, Poisson and exponential distributions.
BLOCK II: Operational Research Introduction to discrete mathematics. Graph theory. Introduction to Graphs for project management. CPM and PERT methods. Introduction to decision-making tools.

Methodology

The teaching methodology to be followed is oriented towards the learning of the subject by the student continued
										
											
This process is based on the realization of three types of activities that will be developed in throughout the course: theoretical classes, problem seminars and practice sessions: Theoretical classes: The student acquires the specific knowledge of the subject by attending lectures and supplementing them with cases to reinforce knowledge in theory classes. The teacher will provide information on the knowledge of the subject and on strategies to acquire, extend and organize this knowledge. The active participation of students during these sessions will be encouraged, for example by raising discussions on those points that have a higher conceptual load. Problem seminars: The knowledge acquired in theoretical classes is applied through practical cases. In the classroom practices there must be an understanding of the concepts introduced in the theoretical classes. Students will have to participate actively to consolidate the knowledge acquired by solving, presenting and debating related problems. Students will work individually or in groups depending on the activity Practice Sessions: students will have to work in teams of several people in the solving mathematical problems using computational tools. Then they will have to present them through oral and written reports. Note: 15 minutes of a class will be reserved, within the calendar established by the center/degree, so that students complete the evaluation surveys of the teaching staff's performance and the evaluation of the subject/module.

Annotation: Within the schedule set by the centre or degree programme, 15 minutes of one class will be reserved for students to evaluate their lecturers and their courses or modules through questionnaires.


Activities

Title Hours ECTS Learning Outcomes
Type: Directed      
Classes Magistrals 26 1.04 CM02, CM02
Ploblems Sessions 18 0.72 SM01, SM03, SM01
Type: Supervised      
Practices 6 0.24 KM01, SM03, KM01
Type: Autonomous      
Problems Desenvolupment 50 2 CM02, SM01, SM03, CM02
Study 42 1.68 CM02, KM03, SM01, CM02

Assessment

The evaluation of the subject will be done progressively and continuously throughout the semester.
										
											
										
											The evaluation system is based on the following rules:
										
											
										
											a) Scheduled evaluation process and activities
										
											The following activities are planned:
										
											Activity A: Practice Reports. Presentation of reports, in writing and orally, relating to the practices with a computer, worked on during the course, with the aim of following the evolution of each student in the understanding and use of the tools worked on in the subject, and at the same time promote the acquisition of transversal skills. This activity counts for 20% of the final grade of the subject. The final note
										
											of this activity will be the average of the grades obtained in each practice.
										
											Activity B: Exam Block I. Exam of the contents of Block I, to promote the consolidation of all the material worked on during the course. This activity counts for 40% of the final grade of the subject.
										
											Activity C: Exam Block II. Examination of the contents of Blocks II, to promote the consolidation of all the material worked on during the course. This activity counts for 40% of the final grade of the subject.
										
											
										
											In order to pass the subject, a minimum grade of 5 in the assessment activities is essential. Must have in
										
											note that the Practice Activity (ACTIVITY A) is not recoverable. This means in particular that if it is not completed and passed (a grade equal to or higher than 5 is obtained) within the time and form as indicated, it will not be possible to pass the subject.
										
											
										
											In the event that the evaluation of any of the parties does not finally exceed the minimum required, the numerical grade of the file will be the lower value between 4.5 and the weighted average of the grades.
										
											
										
											Apart from the partial tests already announced in the examination calendar for the degree, the dates corresponding to the rest of the assessment activities will be announced on the Virtual Campus.
										
											
										
											It is necessary to regularly consult this platform where various information about it will also be provided operation of the subject.

b) Programming of evaluation activities
The calendarization of the assessment activities will be given on the first day of the subject and will be made public in through the Virtual Campus (Moodle) and on the website of the School of Engineering, in the exams section. The following schedule is planned: + Activity A: It will be communicated in the first week of class. + Activity B: Exam Block I (partial): dates to be determined by the School. + Activity C: Final Exam (exam Block I and Block II) and Recovery(Recovery exam BlockI and II): dates to be determined by the School If the student passes activity B, partial exam (gets more than a 5), this part of the subject (approved activity) is released and will only have to be presented in the final exam of the rest. If the student does not pass the partial exam, he must take this final exam in both parts. c)Recovery process For those students who at the end of the evaluation process have not obtained a grade equal to or higher than 5 in the exams, there will be a re-evaluation. This will consist of the realization, on the date planned for the School, an exam by activity representative of the situations worked on during the course. The students they will only have to take the exam for the activity that they have not previously passed. If a student does not reach the minimum grade of 5 in any of the activities and for this reason does not pass the subject, the final grade will be 4.5 at most, i.e. equal to the value of the weighted average if it is less than 4.5 or 4.5 if it is superior d) Qualification review procedure For each assessment activity, a review place, date and time will be indicated where the student can review activity with the teacher. In this context, complaints can be made about the grade of the activity, which will be evaluated by the professor responsible for the subject. If the student does not appear for this review, this activity will not be reviewed later.

e) Qualifications
										
											The final grade of the subject will be calculated according to the percentages mentioned in section a) of this point. It should be noted that:

Honor matriculations. Awarding an honors matriculation grade is solely at the faculty's discretion responsible for the subject. UAB regulations indicate that MH can only be grantedto students who have obtained a final grade equal to or higher than 9.00 and in an amountnot higher than 5% of the number of students. Not assessable. A student who has not attended any activity A, B or C will be considered "non-evaluable". in any other case, the evaluation criteria detailed above are followed. If a student appears in the first partial test and not in the second, he will get a grade of Fail. f) Irregularities by the student, copying and plagiarism Without prejudice to other disciplinary measures that are deemed appropriate, and in accordance with current academic regulations, irregularities committed by the student that may lead to a variation in the qualification of an act of evaluation. Therefore, plagiarizing, copying or letting any assessment activity be copied will result in failing it with a zero and cannot be recovered in the same academic year. If it is necessary to pass any of these assessment activities to pass the subject, this subject will be suspended directly, with no opportunity to recover it in the same course. g) Evaluation of repeat students For repeat students, the grade of the activities is not saved from one course to the next. Repeat students follow the same assessment rules as any other student.
 
 
 
 
 
 

Assessment Activities

Title Weighting Hours ECTS Learning Outcomes
Final Exam 40 2 0.08 CM02, KM03
Partial Exam 40 2 0.08 CM02, KM03
Practices 20 4 0.16 KM01, SM01, SM03

Bibliography

A. Gilat, J. A. Macías, Matlab, Una introducción con ejemplos prácticos, 2006.

N. Quezada, Estadística para Ingenieros, Ed. Marcombo, 1º Edición, 2020.

A. Herrero de Egaña, M. Matilla García, A. Muñoz Cabanes, Cálculo Diferencial para Economía y Empresa, Mc-Graw-Hill, 1º Edición, 2020.


Software

The subject will use Microsoft Excel for the Statistics part.