IDENTIFYING DATA 2017_18
Subject (*) MATHEMATICS II Code 16914012
Study programme
Double degree in Business Administration and Management and Law (2014)
Cycle 1st
Descriptors Credits Type Year Period
6 Basic Course First 2Q
Language
Anglès
Català
Department Business Management
Coordinator
FERNÁNDEZ BARIVIERA, AURELIO
MARQUEZ ALVAREZ, NORBERTO
VILELLA BACH, MISERICÒRDIA
LLERENA GARRÉS, FRANCISCO
E-mail norberto.marquez@urv.cat
francisco.llerena@urv.cat
cori.vilella@urv.cat
aurelio.fernandez@urv.cat
Lecturers
MARQUEZ ALVAREZ, NORBERTO
LLERENA GARRÉS, FRANCISCO
VILELLA BACH, MISERICÒRDIA
FERNÁNDEZ BARIVIERA, AURELIO
Web
General description and relevant information Mathematical tools for decision making.

Competences
Type A Code Competences Specific
 A2 Find, analyze and interpret quantitative and qualitative information of a financial, accounting, economic, social and legal nature that is relevant to the taking of business decisions.
Type B Code Competences Transversal
 B2 Effective solutions to complex problems
Type C Code Competences Nuclear
 C1 Have an intermediate mastery of a foreign language, preferably English
 C2 Be advanced users of the information and communication technologies
 C4 Be able to express themselves correctly both orally and in writing in one of the two official languages of the URV

Learning outcomes
Type A Code Learning outcomes
 A2 Analyze and classify quadratic forms using matrix calculus.
Analyze different economic applications and functions of several economic variables.
Model, solve and interpret problems of optimizing functions of several variables
Type B Code Learning outcomes
 B2 Collect the information they need so that they can solve problems using data and not subjective opinion, and subjecting the information at their disposal to logical analysis.
Find appropriate solutions.
Type C Code Learning outcomes
 C1 Understand instructions about classes or tasks assigned by the teaching staff.
Take notes during a class.
 C2 Use software for on-line communication: interactive tools (web, moodle, blogs, etc.), e-mail, forums, chat rooms, video conferences, collaborative work tools, etc.
 C4 Produce written texts that are appropriate to the communicative situation

Contents
Topic Sub-topic
1. Quadratic forms 1.1 Quadratic forms
1.2 Classification of quadratic forms
2. Functions of several variables 2.1 Continuous functions
2.2 Partial derivatives
2.3 Partial elasticities
3. Optimization without constraints 3.1 Description of the problem
3.2 Optimality conditions
4. Optimization with equality constraints 4.1 Description of the problem
4.2 Optimality conditions
4.3 Sensibility analysis
5. Optimization with inequality constraints 5.1 Description of the problem. Graphic interpretation
5.2 Linear programming: simplex algorithm
5.3 Sensibility analysis
6. Sequences and series of real numbers 6.1 Sequences of real numbers
6.2 Series of real numbers
6.3 Geometric series

Planning
Methodologies  ::  Tests
  Competences (*) Class hours
Hours outside the classroom
(**) Total hours
Introductory activities
C1
C4
1 0 1
Lecture
A2
B2
C1
C4
24 24 48
Problem solving, classroom exercises
A2
B2
C1
C4
25 25 50
Problem solving, exercises
A2
B2
C1
C4
0 25 25
ICT practicals
A2
B2
C1
C2
C4
0 10 10
Personal tuition
B2
4 0 4
 
Objective short-answer tests
A2
B2
C1
C4
2 2 4
Practical tests
A2
B2
C1
C4
2 2 4
Objective multiple-choice tests
A2
B2
C1
C2
2 2 4
 
(*) On e-learning, hours of virtual attendance of the teacher.
(**) The information in the planning table is for guidance only and does not take into account the heterogeneity of the students.

Methodologies
Methodologies
  Description
Introductory activities Activities designed to make contact with students, collect information from them and introduce the subject.
Lecture Description of the contents of the subject.
Problem solving, classroom exercises Formulation, analysis, resolution and debate of a problem or exercise related to the topic of the subject.
Problem solving, exercises Formulation, analysis, resolution and debate of a problem or exercise related to the topic of the subject.
ICT practicals Practical application of the theory of a knowledge area in a particular context. Practical exercises using ICTs.
Personal tuition Time that each teacher has to speak to pupils and resolve their doubts.

Personalized attention
Description
Time that each teacher has to speak to pupils and resolve their doubts.

Assessment
Methodologies Competences Description Weight        
Objective short-answer tests
A2
B2
C1
C4
2 brief exercises about particular issues. Each exercise weights 15% 30%
Practical tests
A2
B2
C1
C4
Final exam is about all the contents of the subject. 70%
Objective multiple-choice tests
A2
B2
C1
C2
Self evaluation exercises 0%
Others  
 
Other comments and second exam session

The 100% of second examination session is a final exam about all the contents of the subject.

Only scientific calculators will be allowed during evaluation activities.


Sources of information

Basic Mauri Masdeu, L., Matemàtiques II: Economia i empresa, Publicacions URV, 2013, Tarragona
Sydsaeter, K., Hammond, P.J., Mathematics for economic analysis, Prentice Hall, 1995,
Barbolla, R. et al, Optimización. Cuestiones, ejercicios y aplicaciones a la economia, Prentice Hall, 2001, Madrid
Alegre, P. et al, Ejercicios resueltos de matemáticas empresariales, Vol II, AC, 1991, Madrid
Hoffmann, L.D., Bradley, G. L., Applied calculus: for business, economics and the social and life sciences, McGraw-Hill, 2007,

Complementary Hammond, P., Sydsaeter, K., Matemáticas para el análisis económico, Prentice Hall, 1996, Madrid
Ayres, F., Cálculo diferencial e integral, McGraw-Hill, 1991, Madrid
Alejandre, F. et al., Problemes de matemàtiques per econòmiques i empresarials, Media 1995, Sant Cugat del Vallès

Recommendations


Subjects that it is recommended to have taken before
MATHEMATICS I/16204008
(*)The teaching guide is the document in which the URV publishes the information about all its courses. It is a public document and cannot be modified. Only in exceptional cases can it be revised by the competent agent or duly revised so that it is in line with current legislation.