IDENTIFYING DATA 2023_24
Subject (*) FUNDAMENTALS OF MATHEMATICS IN ENGINEERING I Code 20224006
Study programme
Bachelor's Degree in Mechanical Engineering (2010)
 Cycle 1st
Descriptors Credits Type Year Period
6 Basic Course First 1Q
Language
Català
Department Mechanical Engineering
Chemical Engineering
Coordinator
FRAGOSO SIERRA, ALEX
 E-mail alex.fragoso@urv.cat
francisco.berto@urv.cat
teresa.lazaro@urv.cat
Lecturers
FRAGOSO SIERRA, ALEX
BERTO ROSELLÓ, FRANCISCO
LÁZARO SÁNCHEZ, TERESA
Web
General description and relevant information <div><strong>DESCRIPCIÓ GENERAL DE L’ASSIGNATURA</strong></div><div><p>Aquesta assignatura és una introducció a les eines matemàtiques bàsiques que s'usen en la resolució de problemes&nbsp; que es poden plantejar en enginyeria.</p></div>

Competences
Type A Code Competences Specific
 A1.1 Consistently apply knowledge of basic scientific and technological subjects pertaining to engineering
 A3.1 Ability to solve a wide range of mathematical problems in engineering. Ability to apply the knowledge of linear algebra, geometry, differential geometry, differential and integral calculus, differential equations and partial differential equations, numerical methods, numerical algorithms, statistics and optimisation (FB1)
Type B Code Competences Transversal
Type C Code Competences Nuclear

Learning outcomes
Type A Code Learning outcomes
 A1.1 Aplica correctament els principis matemàtics que puguin plantejar-se en l’enginyeria, àlgebra lineal, geometria, geometria diferencial, càlcul diferencial i integral, equacions diferencials i en derivades parcials, mètodes numèrics, algorítmica numèrica, estadística i optimització.
 A3.1 Adquireix la capacitat d’utilització de les eines matemàtiques bàsiques en el modelat i resolució de situacions relacionades amb l’enginyeria. Les tècniques estudiades son les relacionades amb l’àlgebra lineal i l’anàlisi univariant i multivariant.
Type B Code Learning outcomes
Type C Code Learning outcomes

Contents
Topic Sub-topic
Matrices Definition and operations with matrices. Rank of a matrix. Determinants. The inverse matrix.
Linear equation systems Definition and representation by matrices. Types of systems of linear equations. Gauss method. Systems with parameters. Cramer's rule.
Vectors Definition and operations with vectors. Base changes. Eigenvalues and eigenvectors. Diagonalization. Applications
Complex numbers Definition. Real and imaginary part. Operations with complex numbers. Binomial, polar and exponential representation.
Funtions of one variable Examples of usual functions. Limits and continuity. Basic concepts of derivation. Basic concepts of integration.

Planning
Methodologies  ::  Tests
  Competences (*) Class hours
 Hours outside the classroom
 (**) Total hours
Introductory activities
1 0 1
Lecture
A1.1
A3.1
 45 49 94
Problem solving, exercises in the classroom
A1.1
A3.1
 30 20 50
Personal attention
1 0 1
 
Mixed tests
A1.1
A3.1
 2 0 2
Mixed tests
A1.1
A3.1
 2 0 2
 
(*) 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 Introduction, calendar, evaluation.
Lecture Theoretical classes with practical examples.
Problem solving, exercises in the classroom Resolution of diverse problems and exercises during class.
Personal attention Attention time for questions, doubts... individual or in small groups.

Personalized attention
Description

By e-mail (alex.fragoso@urv.cat) or in person (office 318, ETSEQ).


Assessment
Methodologies Competences Description Weight        
Problem solving, exercises in the classroom
A1.1
A3.1
 Short written tests in class 20%
Mixed tests
A1.1
A3.1
 Partial exam 1 (themes 1-4) 35%
Mixed tests
A1.1
A3.1
 Partial exam 2 (theme 5) 45%
Others  
 
Other comments and second exam session

2n call exam (80%). The written tests mark (20%) is maintained.


Sources of information

Basic J. M. Mateo, A. Fragoso, Apuntes propios de la asignatura, ,
S. Grossman, Algebra Lineal, , Ed. McGraw-Hill
Larson, R.; Hostetler, R., Cálculo y Geometría Analítica, , Ed. McGraw-Hill
Ayres, F.; Mendelson, E., Cálculo diferencial e integral, , Ed. McGraw-Hill

Complementary

Recommendations

Subjects that continue the syllabus
FUNDAMENTALS OF MATHEMATICS IN ENGINEERING II/20224007


 
Other comments
Basic knowledge of operations with polynomials, powers, roots and logarithms is necessary in order to successfully pass the subject.
(*)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.