IDENTIFYING DATA 2023_24
Subject (*) MATHEMATICS Code 19224006
Study programme
Bachelor's Degree in Oenology (2014)
Cycle 1st
Descriptors Credits Type Year Period
6 Basic Course First 1Q
Language
Castellà
Department Economics
Computer Engineering and Mathematics
Coordinator
LIVIANO SOLÍS, DANIEL
E-mail daniel.liviano@urv.cat
gaieta.jove@urv.cat
Lecturers
LIVIANO SOLÍS, DANIEL
JOVÉ RICOMÀ, GAIETÀ
Web
General description and relevant information Basic elements of: real numbers, Taylor series, calculation of maximum and minimum, and differential equations.

Competences
Type A Code Competences Specific
 A1 Apply basic knowledge of mathematics, physics, chemistry and biology to oenology.
Type B Code Competences Transversal
Type C Code Competences Nuclear

Learning outcomes
Type A Code Learning outcomes
 A1 Adquirir les tècniques necessàries per operar amb equacions diferencials
Adquirir les tècniques necessàries per operar amb funcions d'una variable real
Comprendre el concepte d'equació diferencial
Adquirir les tècniques necessàries per operar amb successions
Conèixer els conceptes teòrics de derivació i integració d'una funció real
Aplicar el concepte i les tècniques de càlcul d'integrals a casos concrets
Conèixer les propietats bàsiques de les funcions d'una variable real
Aplicar el concepte i les tècniques de resolució d'equacions diferencials ordinàries
Comprendre el concepte de successió
Type B Code Learning outcomes
Type C Code Learning outcomes

Contents
Topic Sub-topic
Numbers, sequences and functions Real numbers and sequences.
Functions: concept, graphic representation and continuity.
Derivation and aplications Calculus of derivativess.
Taylor's theorem.
Calculus of extrema.
Integration and applications Calculus of primitives.
Definite integral and applications.
Differential equations Concept, solving techniques and applications to scientifical problems.

Planning
Methodologies  ::  Tests
  Competences (*) Class hours
Hours outside the classroom
(**) Total hours
Introductory activities
2 0 2
Lecture
A1
30 48 78
Problem solving, exercises in the classroom
A1
24 36 60
Personal attention
A1
4 0 4
 
Practical tests
A1
3 3 6
 
(*) 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 aimed at contacting and collecting information from the students and presentation of the subject.
Lecture Exposition of the contents of the course.
Problem solving, exercises in the classroom Formulation, analysis, resolution and discussion of a problem or exercise related to the subject of the course.
Personal attention Students who request it will receive personalized instructions from the teacher to help them achieve the contents of the course.

Personalized attention
Description
Attention to students during the hours of consultation in the teacher's office. Answering doubts through moodle.

Assessment
Methodologies Competences Description Weight        
Practical tests
A1
Dues proves parcials. 50% + 50%
Others  
 
Other comments and second exam session
During the evaluation tests, cell phones, tablets and other devices that are not expressly authorized by the test, will be turned off and out of sight.

The demonstratively fraudulent performance of any evaluative activity of any subject both in material and virtual and electronic support entails to the student the grade of failure of this evaluative activity. Regardless of this, given the seriousness of the facts, the center may propose the initiation of disciplinary proceedings, which will be initiated by resolution of the rector.


Sources of information

Basic J. Rogawski, Calculus, Ed. Reverté, 2012
S. Salas, G. Etgen, E. Hille, Calculus: One and Several Variables, Ed. Reverté, 2002
Larson, R.E., Calculus With Analytic Geometry, McGraw Hill, 2006
Edwards, C.H., Penney, D.E., Calculus, Early Transcendentals, Pearson Education, 2008

Complementary

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.