1. General information
Course:
MATHEMATICS FOR ECONOMICS I
Code:
53304
Type:
BASIC
ECTS credits:
9
Degree:
316 - UNDERGRADUATE DEGREE IN ECONOMICS
Academic year:
2020-21
Center:
5 - FACULTY OF ECONOMICS AND BUSINESS
Group(s):
10
17
Year:
1
Duration:
AN
Main language:
Spanish
Second language:
Use of additional languages:
English Friendly:
Y
Web site:
Bilingual:
N
Lecturer:
MARIA ELISA AMO SAUS
- Group(s):
10
17
Building/Office
Department
Phone number
Email
Office hours
Melchor de Macanaz/3.05
ANÁLISIS ECONÓMICO Y FINANZAS
926053077
elisa.amo@uclm.es
Lecturer:
JUAN FRANCISCO ORTEGA DATO
- Group(s):
10
17
Building/Office
Department
Phone number
Email
Office hours
Melchor de Macanaz
ANÁLISIS ECONÓMICO Y FINANZAS
926053328
juanfco.ortega@uclm.es
2. Pre-Requisites
In general, the knowledge that is required to successful follow a course in maths relates with the basic algebraic properties of polynomials, logarithms and solving linear equations. It is relevant a basic use of derivatives, including the standard techniques (sums, products and chain rule), as well as basic integration. Finally, it is also important to know the basic techniques for function representations and in particular the representation of the main functions.
3. Justification in the curriculum, relation to other subjects and to the profession
The courses in maths in this degree, provide with formal methods to other courses in the degree, like Statistics, Economy and Finance.
In relation with professional skills, the main goal of the course is to introduce, from a mathematical perspective, the models and methods of quantitative analysis, including methods for decision making.
4. Degree competences achieved in this course
| Course competences | |
|---|---|
| Code | Description |
| E03 | Ability to find economic data and select relevant facts. |
| E06 | Application of profesional criteria to the analysis of problems, based on the use of technical tools. |
| G01 | Possession of the skills needed for continuous, self-led, independent learning, which will allow students to develop the learning abilities needed to undertake further study with a high degree of independence. |
| G03 | Develop oral and written communication skills in order to prepare reports, research projects and business projects and defend them before any commission or group of professionals (specialised or non-specialised) in more than one language, by collecting relevant evidence and interpreting it appropriately so as to reach conclusions. |
| G04 | Ability for the use and development of information and communication technology in the development of professional activity. |
| G05 | Capacity for teamwork, to lead, direct, plan and supervise multidisciplinary and multicultural teams in both national and international environments. |
5. Objectives or Learning Outcomes
| Course learning outcomes | |
|---|---|
| Description | |
| Enable student for autonomous work and learning, as well as for personal initiative | |
| Train the student to listen to and defend arguments orally or in writing | |
| Train the student to search for information in order to analyze it, interpret is meaning, synthesize it and communicate it to others. | |
| Train the student to work out problems in creative and innovative ways. | |
| To know the tools and methods for quantitative analysis of markets, sectors and companies, including models for decision-making and economic forecasting models. | |
| Additional outcomes | |
| Description | |
6. Units / Contents
-
Unit 1: Basic Elements of Linear Algebra
-
Unit 1.1:
-
Unit 1.2:
-
Unit 1.3:
-
Unit 1.4:
-
-
Unit 2: Vector Space Rn
-
Unit 2.1:
-
Unit 2.2:
-
Unit 2.3:
-
Unit 2.4:
-
-
Unit 3: Linear applications and associated matrices
-
Unit 3.1:
-
Unit 3.2:
-
Unit 3.3:
-
-
Unit 4: Matrix diagonalization
-
Unit 4.1:
-
Unit 4.2:
-
Unit 4.3:
-
Unit 4.4:
-
Unit 4.5:
-
-
Unit 5: Quadratic forms
-
Unit 5.1:
-
Unit 5.2:
-
-
Unit 6: Real numbers. Sequences and Series
-
Unit 6.1:
-
Unit 6.2:
-
Unit 6.3:
-
Unit 6.4:
-
-
Unit 7: Real functions of a real variable
-
Unit 7.1:
-
Unit 7.2:
-
-
Unit 8: Real functions of a real variable
-
Unit 8.1:
-
Unit 8.2:
-
-
Unit 9: The definite integral
-
Unit 9.1:
-
Unit 9.2:
-
Unit 9.3:
-
ADDITIONAL COMMENTS, REMARKS
This subject, Matemáticas I para la Economía, consists of 9 units of Linear Algebra (units 1-5), 2 units of one-variable Calculus (units 6 and 7) and 2 units of Integration (units 8 and 9).
7. Activities, Units/Modules and Methodology
| Training Activity | Methodology | Related Competences (only degrees before RD 822/2021) | ECTS | Hours | As | Com | Description | |
| Class Attendance (theory) [ON-SITE] | Lectures | E03 E06 G01 G03 G04 | 2 | 50 | N | N | ||
| Class Attendance (practical) [ON-SITE] | Problem solving and exercises | E03 E06 G01 G03 G04 | 1 | 25 | N | N | ||
| Progress test [ON-SITE] | Assessment tests | E03 E06 G01 G03 G04 G05 | 0.08 | 2 | Y | N | ||
| Progress test [ON-SITE] | Assessment tests | E03 E06 G01 G03 G04 | 0.08 | 2 | Y | N | ||
| Progress test [ON-SITE] | Assessment tests | E03 E06 G01 G03 G04 | 0.08 | 2 | Y | N | ||
| Final test [ON-SITE] | Assessment tests | E03 E06 G01 G03 G04 | 0.12 | 3 | Y | Y | ||
| Study and Exam Preparation [OFF-SITE] | Self-study | E03 E06 G01 G03 G04 G05 | 2.68 | 67 | Y | N | ||
| Other off-site activity [OFF-SITE] | Problem solving and exercises | E03 E06 G01 G03 G04 G05 | 2.18 | 54.5 | N | N | ||
| Study and Exam Preparation [OFF-SITE] | Self-study | E03 E06 G01 G03 G04 | 0.78 | 19.5 | N | N | ||
| Total: | 9 | 225 | ||||||
| Total credits of in-class work: 3.36 | Total class time hours: 84 | |||||||
| Total credits of out of class work: 5.64 | Total hours of out of class work: 141 | |||||||
As: Assessable training activity Com: Training activity of compulsory overcoming (It will be essential to overcome both continuous and non-continuous assessment).
8. Evaluation criteria and Grading System
| Evaluation System | Continuous assessment | Non-continuous evaluation * | Description |
| Self Evaluation and Co-evaluation | 10.00% | 0.00% | |
| Progress Tests | 20.00% | 0.00% | |
| Progress Tests | 35.00% | 0.00% | |
| Final test | 35.00% | 100.00% | |
| Total: | 100.00% | 100.00% |
According to art. 4 of the UCLM Student Evaluation Regulations, it must be provided to students who cannot regularly attend face-to-face training activities the passing of the subject, having the right (art. 12.2) to be globally graded, in 2 annual calls per subject , an ordinary and an extraordinary one (evaluating 100% of the competences).
Evaluation criteria for the final exam:
-
Continuous assessment:Progress test: It will be compulsory the realization of the partial test of linear algebra. (35% of the final mark of the subject)
Final test: If the student eliminate the subject of linear algebra must pass the part of in this final ordinary test. (35% of the final mark of the subject)
In the case of not eliminating the part of linear algebra, this final ordinary test will content as linear algebra as Calculus and Integration and it will be the 70% of the final mark.
In both cases it realization will be compulsory. -
Non-continuous evaluation:The final exam will consist of the necessary tests (written or oral) to validate the competences of the subject
Specifications for the resit/retake exam:
¿Other evaluation activities¿ during the regular teaching periodmanteins the mark in the extraordinary convocatory being non-recoberable.
Those students who have elimated the part of algebra are able to mantein their mark and take an exam only of Calculus and Integration . In this case, the test will be the 45% of the final mark.
Those students who had not eliminated the part of algebra they will take the complete contents of the subject. In this case, the valoration of the final test will be the 90% of the total of the evaluation.
Those students who have elimated the part of algebra are able to mantein their mark and take an exam only of Calculus and Integration . In this case, the test will be the 45% of the final mark.
Those students who had not eliminated the part of algebra they will take the complete contents of the subject. In this case, the valoration of the final test will be the 90% of the total of the evaluation.
Specifications for the second resit / retake exam:
Second Resit/retake exam (just at the end of the Degree): It will consist in a test evaluating all units in the course and will contribute with 100% of the weight.
9. Assignments, course calendar and important dates
| Not related to the syllabus/contents | |
|---|---|
| Hours | hours |
| Class Attendance (theory) [PRESENCIAL][Lectures] | 50 |
| Class Attendance (practical) [PRESENCIAL][Problem solving and exercises] | 25 |
| Progress test [PRESENCIAL][Assessment tests] | 2 |
| Progress test [PRESENCIAL][Assessment tests] | 2 |
| Progress test [PRESENCIAL][Assessment tests] | 2 |
| Final test [PRESENCIAL][Assessment tests] | 3 |
| Study and Exam Preparation [AUTÓNOMA][Self-study] | 67 |
| Other off-site activity [AUTÓNOMA][Problem solving and exercises] | 54.5 |
| Study and Exam Preparation [AUTÓNOMA][Self-study] | 19.5 |
| Global activity | |
|---|---|
| Activities | hours |
10. Bibliography and Sources
