Guías Docentes Electrónicas
1. General information
Course:
ADVANCED MATHEMATICS
Code:
56311
Type:
BASIC
ECTS credits:
6
Degree:
360 - UNDERGRAD. IN INDUSTRIAL ELECTRONICS AND AUTOMAT. ENGINEERING (TO)
Academic year:
2021-22
Center:
303 - E.DE INGENIERÍA INDUSTRIAL Y AEROESPOACIAL DE TOLEDO
Group(s):
40  41 
Year:
2
Duration:
First quarter
Main language:
Spanish
Second language:
Use of additional languages:
English Friendly:
Y
Web site:
Bilingual:
N
Lecturer: MARIA FUENSANTA ANDRES ABELLAN - Group(s): 40  41 
Building/Office
Department
Phone number
Email
Office hours
Edificio Sabatini / 1.48
MATEMÁTICAS
925268800 ext 5705
fuensanta.andres@uclm.es

Lecturer: DAMIAN CASTAÑO TORRIJOS - Group(s): 40  41 
Building/Office
Department
Phone number
Email
Office hours
Edificio Sabatini / 1.53
MATEMÁTICAS
925268800 ext 5722
Damian.Castano@uclm.es

Lecturer: JESÚS CASTELLANOS PARRA - Group(s): 40  41 
Building/Office
Department
Phone number
Email
Office hours
Edificio Sabatini / 1.58
MATEMÁTICAS
925268800 ext 5742
Jesus.Castellanos@uclm.es

Lecturer: JESUS ROSADO LINARES - Group(s): 40  41 
Building/Office
Department
Phone number
Email
Office hours
Edificio Sabatini / 1.53
MATEMÁTICAS
925268800 ext 5710
Jesus.Rosado@uclm.es

Lecturer: DAVID RUIZ GRACIA - Group(s): 40  41 
Building/Office
Department
Phone number
Email
Office hours
Edificio Sabatini / 1.53
MATEMÁTICAS
925268800 ext 5729
David.Ruiz@uclm.es

2. Pre-Requisites
Not established
3. Justification in the curriculum, relation to other subjects and to the profession
Not established
4. Degree competences achieved in this course
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 Industrial Engineering and Automation.
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.
5. Objectives or Learning Outcomes
Course learning outcomes
Description
Know how to describe processes related to materials in industrial engineering through ordinary differential equations and in partial derivations, resolve them and interpret results
Know how functions and data are approximated through development in series of power and Fourier and their applications
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 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
Additional outcomes
Description
6. Units / Contents
  • 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:
    • Unit 7.5:
  • Unit 8:
    • Unit 8.4:
    • Unit 8.5:
7. Activities, Units/Modules and Methodology
Training Activity Methodology Related Competences 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).

8. Evaluation criteria and Grading System
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%  
According to art. 6 of the UCLM Student Evaluation Regulations, it must be provided to students who cannot regularly attend face-to-face training activities the passing of the subject, having the right (art. 13.2) to be globally graded, in 2 annual calls per subject , an ordinary and an extraordinary one (evaluating 100% of the competences).

Evaluation criteria for the final exam:
  • Continuous assessment:
    Evaluation criteria not defined
  • Non-continuous evaluation:
    Evaluation criteria not defined

Specifications for the resit/retake exam:
Evaluation criteria not defined
Specifications for the second resit / retake exam:
Evaluation criteria not defined
9. Assignments, course calendar and important dates
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
10. Bibliography and Sources
Author(s) Title Book/Journal Citv Publishing house ISBN Year Description Link Catálogo biblioteca
Bellido, J. Carlos; Donoso, Alberto; Lajara, Sebastián Ecuaciones diferenciales ordinarias / Paraninfo, 978-84-283-3015-2 2014 Ficha de la biblioteca
Bellido, J. Carlos; Donoso, Alberto; Lajara, Sebastián Ecuaciones en derivadas parciales / Paraninfo, 978-84-283-3016-9 2014 Ficha de la biblioteca
Bender, C. M; Orszag, S. A. Advanced Mathematical Methods for Scientists and Engineers, 1st Ed Springer Verlag 978-1-4419-3187-0 1999 Ficha de la biblioteca
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 Ficha de la biblioteca
Haberman, R. Ecuaciones en derivadas parciales con series de Fourier y problemas de contorno Prentice Hall 978-84-205-3534-0 2008 Ficha de la biblioteca
Pedregal, P. Iniciación a las ecuaciones en derivadas parciales y al Análisis de Fourier Septem Ediciones 84-95687-07-0 2001 Ficha de la biblioteca
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  



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