Not established

Not established

Course competences
Code	Description
A01	To understand and have knowledge in an area of study that moves on from the general education attained at secondary level and usually found at a level that, while supported in advanced text books, also includes some aspects that include knowledge found at the cutting edge of the field of study.
A02	To know how to apply knowledge to work or vocation in a professional manner and possess the competences that are usually demonstrated by the formulation and defence of arguments and the resolution of problems in the field of study.
A03	To have the capability to gather and interpret relevant data (normally within the area of study) to make judgements that include a reflection on themes of a social, scientific or ethical nature.
A07	Knowledge of Information Technology and Communication (ITC).
A08	Appropriate level of oral and written communication.
A12	Knowledge of basic materials and technologies that assist the learning of new methods and theories and enable versatility to adapt to new situations.
A13	Ability to take the initiative to solve problems, take decisions, creativity, critical reasoning and ability to communicate and transmit knowledge, skills and abilities in Electrical Engineering.
A17	Ability to apply principles and methods of quality control.
B01	Ability to solve mathematical problems that occur in engineering. Aptitude to apply knowledge of: linear algebra; geometry; differential geometry; differential and integral calculus; differential and partial differential equations; numerical methods; numerical algorithms; statistics and optimization.

Course learning outcomes
Description
Know the main approaches for resolution through using numerical methods, to use some statistical software packages at user level, data processing, mathematical calculus and vizualization, set out algorithms and program through programming language of a high level, vizualize functions, geometric figures and data, design experiments, analyze data and interpret results
Know how to describe processes related to materials in industrial engineering through ordinary differential equations and in partial derivations, resolve them and interpret results
Be able to express yourself correctly both orally and in writing, and, in particular, to know how to use mathematical language to express with precision quantities and operations that appear in industrial engineering. Become accustomed to working in a team and behaving respectfully.
Know how functions and data are approximated through development in series of power and Fourier and their applications
Additional outcomes
Description

• Unit 1:
  • Unit 1.1:
  • Unit 1.2:
  • Unit 1.3:
• Unit 2:
  • Unit 2.1:
  • Unit 2.2:
  • Unit 2.3:
  • Unit 2.4:
• Unit 3:
  • Unit 3.1:
  • Unit 3.2:
• Unit 4:
  • Unit 4.1:
  • Unit 4.2:
  • Unit 4.3:
  • Unit 4.4:
• Unit 5:
  • Unit 5.1:
  • Unit 5.2:
  • Unit 5.3:
  • Unit 5.4:
  • Unit 5.5:
• Unit 6:
  • Unit 6.1:
  • Unit 6.2:
  • Unit 6.3:
• Unit 7:
  • Unit 7.1:
  • Unit 7.2:
  • Unit 7.3:
  • Unit 7.4:
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• Unit 8:
  • Unit 8.4:
  • Unit 8.5:

Training Activity	Methodology	Related Competences (only degrees before RD 822/2021)	ECTS	Hours	As	Com	Description
Class Attendance (theory) [ON-SITE]	Lectures	A01 A08 A12 B01	1	25	N	N
Problem solving and/or case studies [ON-SITE]	Problem solving and exercises	A02 A08 A13 A17 B01	0.6	15	N	N
Individual tutoring sessions [ON-SITE]	Guided or supervised work	A08 B01	0.08	2	N	N
Computer room practice [ON-SITE]	Problem solving and exercises	A07 A13 A17 B01	0.48	12	N	N
Study and Exam Preparation [OFF-SITE]	Self-study	A01 A02 A03 A12 A13 B01	3.6	90	N	N
Progress test [ON-SITE]	Assessment tests	A01 A02 A03 A08 A12 A17 B01	0.12	3	Y	N
Final test [ON-SITE]	Assessment tests	A01 A02 A03 A08 A12 A17 B01	0.12	3	Y	Y
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).

Evaluation System	Continuous assessment	Non-continuous evaluation *	Description
Progress Tests	0.00%	10.00%
Final test	0.00%	90.00%
Total:	0.00%	100.00%

Not related to the syllabus/contents
Hours	hours
Individual tutoring sessions [PRESENCIAL][Guided or supervised work]	2
Computer room practice [PRESENCIAL][Problem solving and exercises]	12
Progress test [PRESENCIAL][Assessment tests]	3
Final test [PRESENCIAL][Assessment tests]	3

Unit 1 (de 8):
Activities	Hours
Class Attendance (theory) [PRESENCIAL][Lectures]	2
Problem solving and/or case studies [PRESENCIAL][Problem solving and exercises]	2
Study and Exam Preparation [AUTÓNOMA][Self-study]	8

Unit 2 (de 8):
Activities	Hours
Class Attendance (theory) [PRESENCIAL][Lectures]	3
Problem solving and/or case studies [PRESENCIAL][Problem solving and exercises]	2
Study and Exam Preparation [AUTÓNOMA][Self-study]	10

Unit 3 (de 8):
Activities	Hours
Class Attendance (theory) [PRESENCIAL][Lectures]	3
Problem solving and/or case studies [PRESENCIAL][Problem solving and exercises]	2
Study and Exam Preparation [AUTÓNOMA][Self-study]	12

Unit 4 (de 8):
Activities	Hours
Class Attendance (theory) [PRESENCIAL][Lectures]	2
Study and Exam Preparation [AUTÓNOMA][Self-study]	5

Unit 5 (de 8):
Activities	Hours
Class Attendance (theory) [PRESENCIAL][Lectures]	4
Problem solving and/or case studies [PRESENCIAL][Problem solving and exercises]	3
Study and Exam Preparation [AUTÓNOMA][Self-study]	15

Unit 6 (de 8):
Activities	Hours
Class Attendance (theory) [PRESENCIAL][Lectures]	4
Problem solving and/or case studies [PRESENCIAL][Problem solving and exercises]	2
Study and Exam Preparation [AUTÓNOMA][Self-study]	15

Unit 7 (de 8):
Activities	Hours
Class Attendance (theory) [PRESENCIAL][Lectures]	5
Problem solving and/or case studies [PRESENCIAL][Problem solving and exercises]	3
Study and Exam Preparation [AUTÓNOMA][Self-study]	15

Unit 8 (de 8):
Activities	Hours
Class Attendance (theory) [PRESENCIAL][Lectures]	2
Problem solving and/or case studies [PRESENCIAL][Problem solving and exercises]	1
Study and Exam Preparation [AUTÓNOMA][Self-study]	10

Global activity
Activities	hours

Author(s)	Title	Book/Journal	Citv	Publishing house	ISBN	Year	Description	Link	Catálogo biblioteca
Bellido, J. Carlos; Donoso, Alberto; Lajara, Sebastián	Ecuaciones en derivadas parciales /			Paraninfo,	978-84-283-3016-9	2014
Bellido, J. Carlos; Donoso, Alberto; Lajara, Sebastián	Ecuaciones diferenciales ordinarias /			Paraninfo,	978-84-283-3015-2	2014
Bender, C. M; Orszag, S. A.	Advanced Mathematical Methods for Scientists and Engineers, 1st Ed			Springer Verlag	978-1-4419-3187-0	1999
Burden, R. L.; Freires, J. D.; Burden, A. M.	Numerical Analysis			Cengage Learning	978-1305253667	2016
García, A.; López, A.; Rodríguez, G. S; A. de la Villa	Ecuaciones diferenciales ordinarias. Teoría y problemas		Madrid	Glagsa	84-921847-7-9	2006
Haberman, R.	Ecuaciones en derivadas parciales con series de Fourier y problemas de contorno			Prentice Hall	978-84-205-3534-0	2008
Pedregal, P.	Iniciación a las ecuaciones en derivadas parciales y al Análisis de Fourier			Septem Ediciones	84-95687-07-0	2001
Pérez García, V.M. y Torres, P.J.	Problemas de ecuaciones diferenciales		Barcelona	Ariel	84-344-8037-9	2001
Redheffer, R.	Differential Equations: Theory and Applications. 1st Ed.			Jones & Barlett	978-0867202007	1991
San Martín, J.; Tomeo V.;Uña I.	Métodos matemáticos: Ampliación de Matemáticas para ciencias e ingeniería			Paraninfo	9788497329804	2015
Simmons G.F.	Ecuaciones diferenciales, con aplicaciones y notas históricas		Madrid	McGraw-Hill	84-481-0045-X
Simmons, G.	Differential Equations with Applications and Historical Notes, 3rd Ed.			Chapman & Hall	978-1-4987-0259-1	2017
Strauss, W. A.	Partial Differential Equations: an introduction, 2nd Ed.			Wiley	978-0470-05456-7	2009
Zill, D.G.	Ecuaciones diferenciales con aplicaciones al modelado			Cengage Learning	978-970-830-055-1	2010