Academic year: 2021/2022
Type: Bachelor's Degree
ECTS Credits: 240
Length of programme (full time): 4 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: FRANCISCO, MILÁN LÓPEZ / milan@ugr.RZdj9n0V2es
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.
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.
Name of title awarded in original language
Graduado o Graduada en Matemáticas
– 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 (60 ECTS)
Obligatory (108 ECTS)
Optional (60 ECTS)
Final degree project (12 ECTS)
|ALGEBRA 1||1st Year||1st Semester|
|ALGEBRA 2||2nd Year||1st Semester|
|ALGEBRA 3||3rd Year||2nd Semester|
|ALGEBRA, GROUPS AND REPRESENTATIONS||4th Year||2nd Semester|
|CALCULUS 1||1st Year||1st Semester|
|CALCULUS 2||1st Year||2nd Semester|
|CELESTIAL MECHANICS||4th Year||1st Semester|
|COMMUTATIVE AND COMPUTATIONAL ALGEBRA||4th Year||1st Semester|
|COMPLEX VARIABLES 1||3rd Year||1st Semester|
|COMPLEX VARIABLES 2||4th Year||2nd Semester|
|COMPUTATIONAL STATISTICS||4th Year||2nd Semester|
|COMPUTER SCIENCE 1||1st Year||1st Semester|
|COMPUTER SCIENCE 2||1st Year||2nd Semester|
|CURVES AND SURFACES||2nd Year||2nd Semester|
|DESCRIPTIVE STATISTICS AND INTRODUCTION TO PROBABILITY||1st Year||1st Semester|
|DIFFERENTIABLE MANIFOLDS||4th Year||1st Semester|
|DIFFERENTIAL EQUATIONS 1||2nd Year||2nd Semester|
|DIFFERENTIAL EQUATIONS 2||3rd Year||1st Semester|
|DIFFERENTIAL EQUATIONS IN MECHANICS AND BIOLOGY||4th Year||1st Semester|
|FOURIER ANALYSIS||4th Year||1st Semester|
|FUNCTIONAL ANALYSIS||3rd Year||1st Semester|
|GENERAL PHYSICS||1st Year||2nd Semester|
|GEOMETRY 1||1st Year||1st Semester|
|GEOMETRY 2||1st Year||2nd Semester|
|GEOMETRY 3||2nd Year||1st Semester|
|GEOMETRY AND TOPOLOGY WORKSHOP||4th Year||2nd Semester|
|GLOBAL GEOMETRY OF CURVES AND SURFACES||4th Year||1st Semester|
|HISTORY OF MATHEMATICS||4th Year||1st Semester|
|MATHEMATICAL ANALYSIS 1||2nd Year||1st Semester|
|MATHEMATICAL ANALYSIS 2||2nd Year||2nd Semester|
|MATHEMATICAL MODELS 1||2nd Year||1st Semester|
|MATHEMATICAL MODELS 2||3rd Year||2nd Semester|
|MECHANICS||2nd Year||2nd Semester|
|MODERN ALGEBRA||4th Year||2nd Semester|
|MULTIVARIATE STATISTICS||4th Year||1st Semester|
|NUMERICAL ANALYSIS IN PARTIAL DIFFERENTIAL EQUATIONS||4th Year||2nd Semester|
|NUMERICAL METHODS 1||1st Year||2nd Semester|
|NUMERICAL METHODS 2||3rd Year||2nd Semester|
|PARTIAL DIFFERENTIAL EQUATIONS||4th Year||2nd Semester|
|PROBABILITY||2nd Year||2nd Semester|
|STATISTICAL INFERENCE||3rd Year||1st Semester|
|STOCHASTIC PROCESSES||4th Year||2nd Semester|
|THEORY OF NUMBERS AND CRYPTOGRAPHY||4th Year||2nd Semester|
|TOPOLOGY 1||2nd Year||1st Semester|
|TOPOLOGY 2||3rd Year||2nd Semester|
|UNDERGRADUATE DISSERTATION||4th Year|
|VECTOR ANALYSIS||4th Year||1st Semester|
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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