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Course description
 

20009 - MATHEMATICS I (2011-12)

General  

Code: 20009
Lecturer responsible:
LLORET CLIMENT, MIGUEL
Credits ECTS: 6,00
Theoretical credits: 0,00
Practical credits: 2,40
Distance-base hours: 3,60

Departments involved

Study programmes where this course is taught



Competencies and objectives

Course context for academic year 2011-12

The contribution of the course of Basic Mathematics to the professional profile of the title is based on the following aspects:

 

-  The course of  Basic Mathematics belongs to the part of the core courses of first year, which has as main objective to develop the capacity of solving simple math problems that may arise in engineering. This basic character of the subject gives a key role in training future engineers.

 

-  The course of  Basic Mathematics is directly related to the vast majority of the subjects of the degree.

 

 

 

Course content (verified by ANECA in official undergraduate and Master’s degrees)

UA Basic Transversal Competences

  • CT7 : Capacity for oral and written exposition.
  • CT8 : Capacity to plan tasks and commit oneself to satisfying goals and deadlines.
  • CT9 : Capacity for group work.

 

Specific Competences:>>Basic

  • B1 : Capacity to solve any mathematical problems that may arise in engineering. Ability to apply knowledge of: linear algebra, geometry, differential geometry, differential and integral calculus, differential equations and partial derivatives, numerical methods, numerical algorithms, statistics and optimisation.

 

Basic Transversal Competences

  • CT1 : Students should show they possess and understand knowledge in a field of study that continues from general secondary education and is usually found at a level which, although supported by advanced textbooks, also includes certain aspects that involve knowledge arising from the cutting edge of their field of study.

 

Specific Competences: >> Competences Common to the Telecommunications Branch

  • C3 : Capacity to use computer tools to find bibliographic resources and information related to telecommunications and electronics.

 

Exclusive skill taught in this course

No data

Learning outcomes (Training objectives)

No data

Specific objectives stated by the academic staff for academic year 2011-12

1) Conocimiento de materias básicas y tecnológicas que le capacite para el aprendizaje de nuevos métodos y tecnologías, así como que le dote de una gran versatilidad para adaptarse a nuevas situaciones.
2) Capacidad de resolver problemas con iniciativa, toma de decisiones, creatividad y de comunicar y transmitir conocimientos, habilidades y destrezas, comprendiendo la responsabilidad ética y profesional de la actividad del Ingeniero/a Técnico de Telecomunicación.


Content and bibliography

Content for academic year 2011-12

Tema 1: Vectores y la geometría del espacio
Detalle:

Coordenadas y vectores en el espacio. Superfices en el espacio. Coordenadas cilíndricas y esféricas.

Competencias: B-1, C-3, CT-1, CT-7, CT-8, CT-9
Tema 2: Funciones de varias variables
Detalle:

Introducción a las funciones de varias variables.  límites y continuidad. Derivadas parciales. Diferenciales. Regla de la cadena para funciones de varias variables. Derivadas direccionales y gradientes. Planos tangentes y rectas normales. Extremos de funciones de dos variables. Aplicaciones de los extremos de dos variables. multiplicadores de Lagrange. 

Competencias: B-1, C-3, CT-1, CT-7, CT-8, CT-9
Tema 3: Integración múltiple
Detalle:

Integrales iteradas y área en el plano. integrales dobles y volumen. Cambio de variables: coordenadas polares. Centro de masa y momentos de inercia. Área de una superficie. integrales triples y aplicaciones. integrales triples en coordenadas cilíndricas y esféricas. cambio de variables: jacobianos.

Competencias: B-1, C-3, CT-1, CT-7, CT-8, CT-9
Tema 4: Ecuaciones diferenciales.
Detalle:

Conceptos previos de ecuaciones diferenciales. Haz de curvas. Ecuaciones diferenciales separables. Ecuaciones homogéneas. Ecuaciones reducibles a homogéneas. ecuación lineal. ecuación de Bernoulli. Ecuación de Ricati. Ecuaciones diferenciales exactas. Factores integrantes. Ecuación diferencial de Lagrange. Ecuación de Clairaut. Ecuaciones resolubles en y o en x. Ecuaciones en las que falta la x o la y.

Detalle:

 
 
Detalle:  

 

Related links

No data

 

Bibliography

No data

Assessment

Assessment procedures and criteria 2011-12

La evaluación de las diferentes actividades propuestas podrá ser recuperada por el estudiante en el examen final de julio.

Description Criteria Type Weighting system
1

Prueba escrita. Vectores y la geometría del espacio.

 ACTIVITIES OF EVALUATION DURING THE SEMESTER 5
2

Prueba escrita. Funciones de varias variables.

 ACTIVITIES OF EVALUATION DURING THE SEMESTER 15
3

Prueba escrita. Integración múltiple.

 ACTIVITIES OF EVALUATION DURING THE SEMESTER 15
4

Prueba escrita. Funciones vectoriales

 ACTIVITIES OF EVALUATION DURING THE SEMESTER 10
5

Prueba escrita. Ecuaciones diferenciales

 ACTIVITIES OF EVALUATION DURING THE SEMESTER 5
6 FINAL TEST 50

 

Official exam dates for academic year 2011-12

Exam session Date Time Group - Classroom(s) allocated Comments
(C3) Periodo ordinario para asignaturas de segundo semestre y anuales 30/05/2012 09:00 - 12:00 OP/1001 
OP/1002 
(JUL) Periodo extraordinario de julio 16/07/2012 08:30 - 11:30 OP/S003 

 

 



Academic staff

LLORET CLIMENT, MIGUEL
Lecturer responsible

  • COMPUTER PRACTICALS: Groups:
    • 4
  • THEORETICAL/PRACTICAL SEMINAR / WORKSHOP: Groups:
    • 1
    • 2
    • 3

ESCOLANO CERDAN, JULIO

  • COMPUTER PRACTICALS: Groups:
    • 2
    • 3

ESTEVE CALVO, PASQUAL FRANCESC

  • THEORETICAL/PRACTICAL SEMINAR / WORKSHOP: Groups:
    • 3

NESCOLARDE SELVA, JOSUE ANTONIO

  • COMPUTER PRACTICALS: Groups:
    • 1
  • THEORETICAL/PRACTICAL SEMINAR / WORKSHOP: Groups:
    • 1

 

Groups

COMPUTER PRACTICALS

Group Semester Morning or afternoon session Language No. of enrolled students
Gr. 1 (COMPUTER PRACTICALS) : 1 (ARA) 2S Morning ANG 7
Gr. 2 (COMPUTER PRACTICALS) : 22 2S Morning CAS 27
Gr. 3 (COMPUTER PRACTICALS) : 32 2S Morning CAS 34
Gr. 4 (COMPUTER PRACTICALS) : 42 2S Afternoon CAS 33


THEORETICAL/PRACTICAL SEMINAR / WORKSHOP

Group Semester Morning or afternoon session Language No. of enrolled students
Gr. 1 (THEORETICAL/PRACTICAL SEMINAR / WORKSHOP) : 1 (ARA) 2S Morning ANG 7
Gr. 2 (THEORETICAL/PRACTICAL SEMINAR / WORKSHOP) : 2 2S Morning CAS 48
Gr. 3 (THEORETICAL/PRACTICAL SEMINAR / WORKSHOP) : 3 2S Afternoon CAS 46




Timetables

COMPUTER PRACTICALS

Group Start date End date Day Start time End time Lecture room
1 01/02/2012 25/05/2012 LUN 13:00 14:00 A2/D24  
1 01/02/2012 25/05/2012 MIE 09:30 10:30 A2/D24  
2 01/02/2012 25/05/2012 MAR 12:30 13:30 A2/D24  
2 01/02/2012 25/05/2012 JUE 11:30 12:30 A2/D24  
3 01/02/2012 25/05/2012 LUN 14:00 15:00 A2/D24  
3 01/02/2012 25/05/2012 MAR 13:30 14:30 A2/D24  
4 01/02/2012 25/05/2012 MAR 18:30 20:30 A2/D24  

THEORETICAL/PRACTICAL SEMINAR / WORKSHOP

Group Start date End date Day Start time End time Lecture room
1 01/02/2012 25/05/2012 LUN 12:00 13:00 A2/D24  
1 01/02/2012 25/05/2012 MIE 08:30 09:30 A2/D24  
2 01/02/2012 25/05/2012 MAR 10:30 12:30 A2/D24  
3 01/02/2012 25/05/2012 MAR 14:30 16:30 A2/D24