IDENTIFYING DATA 2023_24
Subject (*) MATHEMATICS Code 19204001
Study programme
Bachelor's Degree in Biotechnology (2009)
Cycle 1st
Descriptors Credits Type Year Period
9 Basic Course First 1Q
Language
Anglès
Català
Department Computer Engineering and Mathematics
Coordinator
FERRÉ MORAGUES, ANDREU
GARIJO REAL, ANTONIO
LÓPEZ BESORA, JOSEP MARIA
E-mail josep.m.lopez@urv.cat
antonio.garijo@urv.cat
andreu.ferre@urv.cat
Lecturers
LÓPEZ BESORA, JOSEP MARIA
GARIJO REAL, ANTONIO
FERRÉ MORAGUES, ANDREU
Web
General description and relevant information <p> Introduction to the funcions of several variables, vector spaces and linear applications. </p>

Competences
Type A Code Competences Specific
 A1 Apply basic knowledge of mathematics and physics at the molecular biosciences
Type B Code Competences Transversal
Type C Code Competences Nuclear

Learning outcomes
Type A Code Learning outcomes
 A1 Acquire the techniques needed to operate with differential equations.
Acquire the techniques needed to operate with linear applications, matrices and vectors.
Acquire the techniques needed to operate with vectors.
Acquire the techniques needed for calculating extremes.
Apply the concept and techniques of integral calculation to specific cases.
Apply the techniques of matrix calculus to specific problems.
Understand the concept of differential equations.
Know the theoretical model of vector space.
Understand the basic properties of the functions of one and several variables.
Know the theoretical concepts of linear application, matrix and own spaces.
Type B Code Learning outcomes
Type C Code Learning outcomes

Contents
Topic Sub-topic
Matrix and functions Matrix calculations and systems of equations. Functions of several variables, examples and graphic representation.
Functions of several variables Continuity, partial derivatives, differentiability and calculation of extremes. Multiple integration. Concept, calculation techniques and uses.
Vector spaces and linear applications Vector spaces and linear applications concepts and basics properties. Diagonalization of endomorphisms and scalar product.
Differential equations Concepts, resolution techniques and applications to scientific problems.

Planning
Methodologies  ::  Tests
  Competences (*) Class hours
Hours outside the classroom
(**) Total hours
Introductory activities
A1
5 5 10
Lecture
A1
60 50 110
Problem solving, exercises in the classroom
A1
30 52 82
Personal attention
A1
9 0 9
 
Extended-answer tests
A1
3 6 9
Extended-answer tests
A1
3 6 9
 
(*) 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, exercises in the classroom Formulation, analysis, resolution and debate of a problem or exercise related to the topic of the subject
Personal attention Answering the quest¡ion that students might have through personal tuition.

Personalized attention
Description

&ltTime reserved for individual attention and doubt solving with students.


Assessment
Methodologies Competences Description Weight        
Extended-answer tests
A1
Primera prova. Resolució de problemes de forma individual. Avaluació de la primera part dels continguts del curs. 50%
Extended-answer tests
A1
Segona prova. Resolució de problemes de forma individual. Avaluació de la segona part dels continguts del curs. 50%
Others  
 
Other comments and second exam session

Els examens es realitzaran de forma presencial. En l'espai moddle de cada assignatura hi podreu consultar la informació actualitzada.

La segona convocatòria consistirà en una prova única. Resolució de problemes de forma individual. Avaluació de tots els continguts del curs.

Durant les proves d'avaluació, els telèfons mòbils, tablets i altres aparells que no siguin expressament autoritzats per la prova, han d'estar apagats i fora de la vista.

La realització demostrativament fraudulenta d'alguna activitat avaluativa d'alguna assignatura tant en suport material com virtual i electrònic comporta a l'estudiant la nota de suspens d'aquesta activitat avaluativa. Amb independència d'això, davant la gravetat dels fets, el centre pot proposar la iniciació d'un expedient disciplinari, que serà incoat mitjançant resolució del rector o rectora.


Sources of information

Basic S. Salas, G. Etgen, E. Hille, calculus: una y varias variables, Ed. Reverté, 2002
J. Rogawski, cálculo, Ed. Reverté, 2012

Complementary H. Anton, Introducción al algebra Lineal, Limusa, 1983

Recommendations


(*)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.