Academic year: 2021/2022
Type: Double Bachelor's Degree (PCEOG)
ECTS Credits: 300
Length of programme (full time): 5 YEARS
Mode of delivery: Face-to-face
Level of qualification: Graduado(a) (MECES level 2 - EQF level 6)
Model of study: Full-time (42-60 ECTS per school year)
Academic Information for mobility students
Language(s) of instruction Spanish
More info: programme website
Name: ESTRELLA, FLORIDO NAVIO / estrella0XHrpB@ugr.es
Faculty of Science / Granada campus
Field(s) of education and training (ISCED-F)
- Mathematics (0541)
The Bachelor’s Degree in Mathematics provides a general education in mathematics as a scientific discipline and focuses on preparing students for their future professional activities. It also trains students to apply the acquired skills in different fields, such as teaching and research in the field of Mathematics and its many applications. Graduates can carry out their professional mathematical activities in teaching or in a wide range of public institutions and private companies.
Physics is a fundamental science essential for the scientific and technologic development of any country. The study of Physics is not only useful for students who are particularly interested in basic research. It also provides a very broad and versatile type of training that is useful for many other job positions.
According to recent studies, the most valuable professional skill of a physicist is versatility. Therefore, the main objective of this degree program is to train professionals to have a capacity of analysis that allows them to model complex situations and solve problems of very diverse nature. After completing their studies, students will be able to teach, do research in fundamental and applied subjects, and perform technological development activities, as well as activities in the financial, health and industrial sectors, public organisms, and private companies.
1. Know the nature, methods, and purposes of the various fields of Mathematics, and possess a historical perspective of their development.
2. Develop analytical and abstraction skills, intuition, as well an aptitude for logical and rigorous thinking through the study of Mathematics.
3. Define, address, and solve problems in both academic and professional contexts.
4. Recognise the underlying presence of Mathematics in Nature and society through science, technology, and art, and acknowledge it as a basic component of education and culture.
5. Prepare for more specialized studies in a mathematical discipline or in any of the sciences that require a solid mathematical background.
6. Directly access the labour market aiming at medium-high responsibility positions.
7. Develop skills in calculus, rapid thinking, the geometric vision in space, and rigorous logical reasoning.
1. Observe and classify natural phenomena using the knowledge acquired from different branches of Physics.
2. Possess a general knowledge of the main issues of Physics, at the theoretical as well as the experimental level, including a focus on more specific topics.
3. Apply the knowledge acquired to the professional environment and be able to present and discuss ideas in academic contexts as well as more general ones.
4. Gather information about a topic of interest, analyse it, and provide a reasoned judgement, based on the data.
5. Analyse problems in different fields, extract the most relevant information, and propose solutions themby applying the main mathematical and computational techniques.
6. Continue postgraduate studies in a wide range of scientific or technological topics, or adapt to occupational requirements not directly connected to Physics.
7. Develop entrepreneurial skills in topics of interest (such as environmental science, energy sources, etc.) based on the basic knowledge acquired.
– The student must prove the level B1, in accordance with the Common European Framework of Reference for Languages.
– The student has to complete the ECTS credits of the study program distributed as follows:
Basic Formation (72 ECTS)
Obligatory (216 ECTS)
Optional (60 ECTS)
Final degree project (12 ECTS)
|ALGEBRA 2||3rd Year||1st Semester|
|ALGEBRA 3||4th Year||2nd Semester|
|ALGEBRA I||1st Year||1st Semester|
|BASIC EXPERIMENTAL TECHNIQUES||1st Year||2nd Semester|
|CALCULUS 2||1st Year||2nd Semester|
|CALCULUS I||1st Year||1st Semester|
|COMPLEX VARIABLES 1||2nd Year||1st Semester|
|CURVES AND SURFACES||3rd Year||2nd Semester|
|DESCRIPTIVE STATISTICS AND INTRODUCTION TO PROBABILITY||2nd Year||1st Semester|
|DIFFERENTIAL EQUATIONS 2||4th Year||1st Semester|
|ELECTRICAL CIRCUITS: THEORY AND INSTRUMENTATION||4th Year||1st Semester|
|ELECTROMAGNETICS||3rd Year||1st Semester|
|FUNCTIONAL ANALYSIS||3rd Year||1st Semester|
|GENERAL CHEMISTRY||1st Year||1st Semester|
|GENERAL PHYSICS I||1st Year||1st Semester|
|GENERAL PHYSICS II||1st Year||2nd Semester|
|GEOMETRY 3||3rd Year||1st Semester|
|GEOMETRY I||1st Year||1st Semester|
|GEOMETRY II||1st Year||2nd Semester|
|MATHEMATICAL ANALYSIS 1||2nd Year||2nd Semester|
|MATHEMATICAL ANALYSIS 1||2nd Year||1st Semester|
|MATHEMATICAL ANALYSIS 2||2nd Year||2nd Semester|
|MATHEMATICAL METHODS 1||2nd Year||1st Semester|
|MATHEMATICAL METHODS 2||2nd Year||1st Semester|
|MATHEMATICAL METHODS 3||2nd Year||2nd Semester|
|MATHEMATICAL MODELS 1||4th Year||1st Semester|
|MATHEMATICAL MODELS 2||4th Year||2nd Semester|
|MECHANICS AND WAVES||2nd Year||1st Semester|
|NUCLEAR AND PARTICLE PHYSICS||5th Year||1st Semester|
|NUMERICAL METHODS 2||3rd Year||2nd Semester|
|NUMERICAL METHODS AND SIMULATION||1st Year||2nd Semester|
|NUMERICAL METHODS I||1st Year||2nd Semester|
|OPTICS 1||4th Year||1st Semester|
|OPTICS 2||4th Year||2nd Semester|
|PHYSICAL ELECTRONICS||5th Year||2nd Semester|
|PROBABILITY||2nd Year||2nd Semester|
|PROGRAMMING||1st Year||1st Semester|
|QUANTUM MECHANICS||4th Year||1st Semester|
|QUANTUM PHYSICS||3rd Year||1st Semester|
|SOLID-STATE PHYSICS||5th Year||1st Semester|
|STATISTICAL INFERENCE||4th Year||1st Semester|
|STATISTICAL PHYSICS||3rd Year||2nd Semester|
|TOPOLOGY 1||3rd Year||1st Semester|
|TOPOLOGY 2||4th Year||2nd Semester|
|UNDERGRADUATE DISSERTATION||5th Year|
Access to Bachelor’s Degree programmes is granted to students with the following degrees/ diplomas or studies, or any other recognized as equivalent to these:
A.1. Spanish Bachiller, European Baccalaureate or International Baccalaureate.
A.2. Baccalaureate from European Union Member States’ education systems or other countries withinternational agreements.
A.3. Advanced Technician in Vocational Training, Advanced Technician in Plastic Arts and Design orAdvanced Technician in Sports Education, from the Spanish Education System.
A.4.Studies carried out in European Union Member States or in other countries with international reciprocal agreements which meet the academic requirements in those States to access their university studyprogrammes.
A.5. Official Spanish university degrees of Diplomado, Arquitecto Técnico, Ingeniero Técnico, Licenciado, Arquitecto, Ingeniero, Graduado or Máster Universitario.
A.6. Partial (foreign or Spanish) university studies.
Access to Bachelor’s Degree programmes is also possible for:
B.1. People over twenty-five after successfully passing a specific access test.
B.2. People over forty with work or professional experience related to a university field of knowledge.
B.3. People over forty-five after successfully passing a specific access test.
Likewise, access to Bachelor’s Degree programmes is granted to:
C.1. People meeting the requirements to enter university according to the Spanish Education Systemregulations prior to Ley Orgánica 8/2013, of December 9.
In the Spanish university system, modules/courses are graded on a scale of 0 to 10 points with the following qualitative equivalence:
0-4,9: «suspenso»; 5-6,9: «aprobado»; 7-8,9: «notable»; 9-10: «sobresaliente». A special mention, «Matrícula de Honor» may be granted to up to 5% of the students in a group provided they have got a «sobresaliente». To pass a module/course is necessary to get at least 5 points.
In cases of recognition of ECTS, professional experience, cultural or sports activities, or student representation no grading will be recorded but, where appropriate, the word «Apto».
UGR Examination Regulations
More info on academic regulations at:
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