1. General information
Course:
MATHEMATICS FOR ECONOMICS II
Code:
53309
Type:
BASIC
ECTS credits:
6
Degree:
316 - UNDERGRADUATE DEGREE IN ECONOMICS
Academic year:
2020-21
Center:
5 - FACULTY OF ECONOMICS AND BUSINESS
Group(s):
10
17
Year:
2
Duration:
First semester
Main language:
Spanish
Second language:
Use of additional languages:
English Friendly:
Y
Web site:
Bilingual:
N
Lecturer:
MARIA EMILIA GARCIA PEREZ
- Group(s):
17
Building/Office
Department
Phone number
Email
Office hours
Melchor de Macanaz/ 1.01
ANÁLISIS ECONÓMICO Y FINANZAS
2390
emi.garcia@uclm.es
Lecturer:
GONZALO GARCIA-DONATO LAYRON
- Group(s):
10
17
Building/Office
Department
Phone number
Email
Office hours
Melchor de Macanaz/3.11
ANÁLISIS ECONÓMICO Y FINANZAS
2332
gonzalo.garciadonato@uclm.es
2. Pre-Requisites
It is recommendable having taken the previous course Matemáticas I para la Economía and more concisely, the topics on Algebra: vector spaces, matrices, and quadratic forms and their classification. And on Calculus: dominium, continuity, derivatives and graphical representation of a function of a single variable; topology in the real line and integration methods.
3. Justification in the curriculum, relation to other subjects and to the profession
Matemáticas II para la economía is the second and last course about mathematics in the degree. This implies that it contains very important topics that are relevant in understanding great part of the rest of courses in the degree (and particularly those with a strong quantitative component). Matemáticas II is conceived to provide the student with the basic concepts of the analysis of several variables and an introduction to optimization methods.
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 | |
| Not established. |
6. Units / Contents
-
Unit 1: The Rn space
-
Unit 1.1: Introduction and basic concepts
-
Unit 1.2: Basic topological aspects of Rn
-
-
Unit 2: Functions of several variables
-
Unit 2.1: Previous definitions
-
Unit 2.2: Limits and continuity
-
Unit 2.3: Derivatives and differentiability
-
-
Unit 3: Vectorial functions of several variables
-
Unit 3.1: Previous definitions
-
Unit 3.2: Limits and continuity
-
Unit 3.3: Derivatives and differentiability
-
-
Unit 4: Multiple integration
-
Unit 4.1: Multiple definite integration. Definition and properties
-
Unit 4.2: Double integrals over rectangular, type I and type II regions
-
Unit 4.3: Change of variables. Polar coordinates
-
-
Unit 5: Introduction to optimization problems
-
Unit 5.1: Introduction to modeling. Basic concepts of optimization problems
-
Unit 5.2: Types of problems. Classification of main methods to solve problems. Weirstrass theorem
-
Unit 5.3: Convexity analysis. Local-global theorem
-
-
Unit 6: Classic programming
-
Unit 6.1: Optimization without restrictions
-
Unit 6.2: Optimization subject to equality restrictions
-
-
Unit 7: Optimization subject to inequality restrictions
-
Unit 7.1: Standard form
-
Unit 7.2: Kuhn-Tucker conditions of optimality
-
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 G01 | 1.33 | 33.25 | N | N | ||
| Class Attendance (practical) [ON-SITE] | Problem solving and exercises | E06 G01 | 0.67 | 16.75 | N | N | ||
| Progress test [ON-SITE] | Cooperative / Collaborative Learning | E06 G01 G03 G04 G05 | 0.1 | 2.5 | Y | N | ||
| Progress test [ON-SITE] | Assessment tests | G01 G03 | 0.1 | 2.5 | Y | N | ||
| Final test [ON-SITE] | Assessment tests | G01 G03 | 0.1 | 2.5 | Y | Y | ||
| Study and Exam Preparation [OFF-SITE] | Self-study | E03 E06 G01 G03 G04 | 1.4 | 35 | N | N | ||
| Other off-site activity [OFF-SITE] | Self-study | G01 | 2 | 50 | N | N | ||
| Other off-site activity [OFF-SITE] | Problem solving and exercises | G01 G04 | 0.2 | 5 | Y | N | ||
| Group tutoring sessions [ON-SITE] | Group tutoring sessions | G01 G03 G05 | 0.1 | 2.5 | Y | N | ||
| Total: | 6 | 150 | ||||||
| Total credits of in-class work: 2.4 | Total class time hours: 60 | |||||||
| Total credits of out of class work: 3.6 | Total hours of out of class work: 90 | |||||||
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 |
| Assessment of problem solving and/or case studies | 10.00% | 0.00% | Activity |
| Progress Tests | 20.00% | 0.00% | A midterm individual exam |
| Final test | 70.00% | 100.00% | A final exam with a weight of 70% |
| 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:Minimum 40% in the final exam.
-
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:
For the resit evaluation the students will have an exam that counts 90% and the remaining corresponds to half the grade in the group activities during the regular period. Similar criteria will be applied for the non-continuous evaluation as in the regular case.
Specifications for the second resit / retake exam:
No evaluation criteria have been entered.
9. Assignments, course calendar and important dates
| Not related to the syllabus/contents | |
|---|---|
| Hours | hours |
| Unit 1 (de 7): The Rn space | |
|---|---|
| Activities | Hours |
| Class Attendance (theory) [PRESENCIAL][Lectures] | 33.25 |
| Class Attendance (practical) [PRESENCIAL][Problem solving and exercises] | 16.75 |
| Progress test [PRESENCIAL][Cooperative / Collaborative Learning] | 2.5 |
| Progress test [PRESENCIAL][Assessment tests] | 2.5 |
| Final test [PRESENCIAL][Assessment tests] | 2.5 |
| Study and Exam Preparation [AUTÓNOMA][Self-study] | 35 |
| Other off-site activity [AUTÓNOMA][Self-study] | 50 |
| Other off-site activity [AUTÓNOMA][Problem solving and exercises] | 5 |
| Group tutoring sessions [PRESENCIAL][Group tutoring sessions] | 2.5 |
| Global activity | |
|---|---|
| Activities | hours |
10. Bibliography and Sources