Guías Docentes Electrónicas
1. General information
Course:
CALCULUS I
Code:
56301
Type:
BASIC
ECTS credits:
6
Degree:
412 - UNDERGRADUATE DEGREE PROGRAMME IN ELECTRICAL ENGINEERING
Academic year:
2022-23
Center:
106 - SCHOOL OF MINING AND INDUSTRIAL ENGINEERING
Group(s):
55  56 
Year:
1
Duration:
First semester
Main language:
Spanish
Second language:
Spanish
Use of additional languages:
English Friendly:
Y
Web site:
Bilingual:
N
Lecturer: ANGEL ROMERO VILLADA - Group(s): 55 
Building/Office
Department
Phone number
Email
Office hours
MATEMÁTICAS
Angel.Romero@uclm.es

Lecturer: DOROTEO VERASTEGUI RAYO - Group(s): 55 
Building/Office
Department
Phone number
Email
Office hours
Elhuyar / Matemáticas
MATEMÁTICAS
926052122
doroteo.verastegui@uclm.es

2. Pre-Requisites

 

For students to achieve the learning objectives described, they must possess knowledge and skills that are supposed to be guaranteed in their training prior to entering the University:

- Knowledge: basic geometry and trigonometry, basic mathematical operations (powers, logarithms, fractions), polynomials, matrices, derivation, integration and graphical representation of functions.

- Basic skills in instrumental management: elementary management of computers.

3. Justification in the curriculum, relation to other subjects and to the profession

The Industrial Engineer is the professional who uses the knowledge of the physical, mathematical and statistical sciences, together with the engineering techniques, to develop his professional activity in aspects such as the control, instrumentation and automation of processes and equipment, as well as the design, construction, operation and maintenance of industrial products. This training allows you to successfully participate in the different branches that make up industrial engineering, such as mechanics, electricity, electronics, etc., adapt to changes in technology in these areas and, where appropriate, generate them, responding thus to the needs that arise in the productive and service branches to achieve the well-being of the society to which it is due.


4. Degree competences achieved in this course
Course competences
Code Description
CB02 Apply their knowledge to their job or vocation in a professional manner and show that they have the competences to construct and justify arguments and solve problems within their subject area.
CB03 Be able to gather and process relevant information (usually within their subject area) to give opinions, including reflections on relevant social, scientific or ethical issues.
CB04 Transmit information, ideas, problems and solutions for both specialist and non-specialist audiences.
CB05 Have developed the necessary learning abilities to carry on studying autonomously
CEB01 Ability to solve mathematical problems that may arise in engineering. Ability to apply knowledge of linear algebra; geometry, differential geometry, differential and partial differential equations, numerical methods, numerical algorithms, statistics and optimisation.
CG03 Knowledge of basic and technological subjects to facilitate learning of new methods and theories, and provide versatility to adapt to new situations.
CG04 Ability to solve problems with initiative, decision-making, creativity, critical reasoning and to communicate and transmit knowledge, skills and abilities in the field of industrial engineering.
CT02 Knowledge and application of information and communication technology.
CT03 Ability to communicate correctly in both spoken and written form.
5. Objectives or Learning Outcomes
Course learning outcomes
Description
Ability to express oneself correctly orally and in writing and, in particular ability to use the language of mathematics as a way of accurately expressing the quantities and operations that appear in industrial engineering. Acquired habits of working in a team and behaving respectfully.
Ability to approximate functions and data by means of power series and de Fourier developments and their applications.
Management of functions of one and several variables including their derivation, integration and graphic representation.
Knowledge of the main approaches for solving by numerical methods, user level implementation of software packages for statistics, data processing, mathematical calculation and visualisation, planning algorithms and programming using a high-level programming language, visualising functions, geometric figures and data, designing experiments, analysing data and interpreting results.
Conocer los fundamentos y aplicaciones de la Optimización.
Additional outcomes
Not established.
6. Units / Contents
  • Unit 1: Introduction to Calculus.
  • Unit 2: Real functions of one variable.
  • Unit 3: Derivation.
  • Unit 4: Numerical series and power series.
  • Unit 5: Approximate resolution of equations.
  • Unit 6: Integration.
  • Unit 7: Numerical Integration.
  • Unit 8: Improper Integrals.
  • Unit 9: Numerical Algorithmic.
ADDITIONAL COMMENTS, REMARKS

Practices in the Computer classroom:
Practice 1: Introduction to MATLAB. Mathematical functions with MATLAB.
Practice 2: Basic programming with MATLAB.


7. Activities, Units/Modules and Methodology
Training Activity Methodology Related Competences (only degrees before RD 822/2021) ECTS Hours As Com Description
Class Attendance (theory) [ON-SITE] Lectures CB02 CB03 CB04 CB05 CT03 1.2 30 N N Participatory master lesson, with blackboard and projector cannon.
Problem solving and/or case studies [ON-SITE] Combination of methods CB02 CB03 CB04 CB05 CEB01 CG04 CT03 0.6 15 Y N Solving exercises and problems in the classroom in a participatory way
Class Attendance (practical) [ON-SITE] Combination of methods CB02 CB03 CB04 CB05 CEB01 CG03 CG04 CT02 CT03 0.4 10 Y Y Performing problems using the use of computer programs
Formative Assessment [ON-SITE] Assessment tests CB02 CB03 CB04 CB05 CEB01 CG04 CT03 0.2 5 Y Y Final evaluation of the subject by written test
Study and Exam Preparation [OFF-SITE] Self-study CB02 CB03 CB04 CB05 CEB01 CG03 CG04 CT02 CT03 3.6 90 N N Autonomous personal study of the student and supervised work
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
Final test 70.00% 90.00% Finally, a written test will be carried out that will consist of
questions, theoretical questions and problems whose criteria of
evaluation will be similar to those of academic papers
described above.
Progress Tests 20.00% 0.00% For the evaluation of the progress tests carried out by
Students will assess the problem statement, the
use of appropriate terminology and notation to express
the mathematical ideas and relationships used, the choice of
most appropriate procedure for each situation, the
justification of the different steps of the procedure used,
the results obtained and the cleaning and presentation of the
document.
Assessment of activities done in the computer labs 10.00% 10.00% For the evaluation of the practices in the computer room,
with specific software application, delivery will be valued
of the work carried out in them, having to be
defended orally before the teacher.
Total: 100.00% 100.00%  
According to art. 4 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. 12.2) 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:
    To obtain the final grade, the 3 evaluation systems described are computed, with the specified weights, and must be obtained in the final test.
    written a grade equal to or greater than 4 points out of 10.
    If the grade obtained in said test is less than 5 points, it will be put as the final grade for the course.
  • Non-continuous evaluation:
    To carry out the non-continuous evaluation, the proposed activities must be delivered during the activities in the computer rooms and a final test will be carried out. If the proposed activities are not delivered, the student must obtain at least 5.6 in the final test to pass the subject.

Specifications for the resit/retake exam:
A final written test will be carried out, the weight of which will be 90% of the overall grade for the subject and will consist of questions, theoretical questions and
problems where the approach to the topic or problem will be assessed, the use of appropriate terminology and notation to express ideas and relationships
mathematics used, the choice of the most appropriate procedure for each situation, the justification of the different steps of the procedure used, the
results obtained and the cleaning and presentation of the document. The remaining 10% of the grade corresponds to Matlab practices.
Specifications for the second resit / retake exam:
A final written test will be carried out, the weight of which will be 90% of the overall grade for the subject and will consist of questions, theoretical questions and
problems where the approach to the topic or problem will be assessed, the use of appropriate terminology and notation to express ideas and relationships
mathematics used, the choice of the most appropriate procedure for each situation, the justification of the different steps of the procedure used, the
results obtained and the cleaning and presentation of the document. The remaining 10% of the grade corresponds to Matlab practices.
9. Assignments, course calendar and important dates
Not related to the syllabus/contents
Hours hours
Class Attendance (theory) [PRESENCIAL][Lectures] 30
Problem solving and/or case studies [PRESENCIAL][Combination of methods] 15
Class Attendance (practical) [PRESENCIAL][Combination of methods] 10
Formative Assessment [PRESENCIAL][Assessment tests] 5
Study and Exam Preparation [AUTÓNOMA][Self-study] 90

Global activity
Activities hours
General comments about the planning: Time planning may undergo some variations depending on the calendar and the needs of the academic course. The dates of the practices will be specified in the first three school weeks.
10. Bibliography and Sources
Author(s) Title Book/Journal Citv Publishing house ISBN Year Description Link Catálogo biblioteca
 
Algunos recursos en internet http://www.calculus.org/  
Algunos recursos en Internet http://ocw.mit.edu/OcwWeb/Mathematics/index.htm  
Algunos recursos en internet http://matematicas.uclm.es/ind-cr/calculoi  
Algunos recursos en internet http://www.sosmath.org/calculus/calculus.html  
Algunos recursos en internet http://archives.math.utk.edu/visual.calculus/  
A. García, A. López, G. Rodríguez, S. Romero, A. de la Villa Calculo I. Teoría y problemas de funciones en una variable Libro Madrid CLAGSA 84-921847-0-1 1996 Libro de teoría y problemas  
B. P. Demidovich 5000 problemas de análisis matemático Libro Thompson 2002 Libro de problemas.  
B. P. Demidovich Problemas y ejercicios de análisis matemático Libro 11 edición, Ed. Paraninfo 1993 Libro de problemas.  
C. H. Edwards, D. E. Penney Cálculo diferencial e integral Libro Cuarta Edición, Pearson Educación 1997 Libro de teoría  
E. J Espinosa, I. Canals, M. Medea, R. Pérez, C. A. Ulín Cálculo diferencial: Problemas resueltos Libro Reverte 2009 Libro de problemas.  
L. S. Salas, E. Hille, G. Etgen Calculus Volumen I: Una y varias variables Libro Cuarta Edición en español, Ed. Reverté 2002 Libro de teoría.  
P. Pedregal Cálculo esencial Libro ETSI Industriales, UCLM 12002 Libro de teoría  
R. Larson, R.P. Hostetler, B. H. Edwards Cálculo I Libro Mc. Graw-Hill Interamericana 2005 Libro de teoría.  
T. Apostol Calculus Libro Vol. I, Segunda edición, Reverté 1990 Libro de teoría.  



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