Curriculum Structure

These studies lead to the degree of graduate in Mathematics. The curriculum consists of a total of 240 European ECTS credits(*) in accordance with article 12, point 2, of the Royal Decree 1393/2007, of October 29, and following the design included in the White Paper on the Degree in Mathematics. These credits are distributed over 4 academic years, at a rate of 60 credits per course, as stated in the Royal Decree 1125/2003, of September 5.

 

Temporary programming of teachings starting in the 2020/21 academic year
First course
First quarter ECTS Character Second quarter ECTS Character
Differential Calculus of a Real Variable 9 Basic Linear Algebra 7.5 Basic
Statistics 7.5 Basic Integral calculus of a real variable 9 Basic
Fundamentals of Mathematics 6 Basic Advanced Computing 6 Mandatory
Introduction to Scientific Computing 7.5 Basic Basic Geometry 7.5 Basic
Second course
First quarter ECTS Character Second quarter ECTS Character
Differential Calculus of several real variables 6 Mandatory Algebra 6 Mandatory
Affine Geometry 6 Mandatory Integral calculus of several real variables 6 Mandatory
Discrete Mathematics 6 Mandatory Physics 6 Basic
Numerical Methods I 6 Mandatory Optimization 6 Mandatory
General Topology 6 Mandatory Odds 6 Mandatory
Third course
First quarter ECTS Character Second quarter ECTS Character
Differential Equations I 6 Mandatory Differential Equations II 6 Mandatory
Differential Geometry of Curves and Surfaces 6 Mandatory Introduction to Algebraic Topology 6 Mandatory
Statistical Inference 6 Mandatory Measurement and Integration 6 Mandatory
Group Theory 6 Mandatory Numerical Methods II 6 Mandatory
Complex Variable 6 Mandatory Galois theory 6 Mandatory
Fourth course
First quarter ECTS Character Second quarter ECTS Character
Partial Differential Equations 6 Mandatory Modeling 6 Mandatory
2 elective subjects (see table below)*** 12 Electives 2 elective subjects (see table below)*** 12 Electives
Internships (annual) 6 Internships (annual) 6
Final Degree Project (annual) 6 Final Degree Project (annual) 6

 

 

***3 mentions are introduced: Statistics and Operations Research, Mathematics and Applications, and Pure Mathematics, curricular intensifications that each group together 4 of the 12 electives offered:

Mention Subject Four-month period ECTS
Statistics and Operations Research Operational Research Models 7th 6
Sampling and Surveys 7th 6
Multivariate Analysis 8th 6
Combinatorial Programming 8th 6
Mathematics and Applications Differential Geometry and Applications 7th 6
Mathematics for Teaching 7th 6
Spectral Data Analysis 8th 6
Numerical Methods in Partial Differential Equations 8th 6
Pure Mathematics Commutative Algebra 7th 6
Functional Analysis 7th 6
Algebraic Curves 8th 6
Algebraic Topology 8th 6

Students are deemed to have taken one of these curricular intensifications if the following circumstances are met:

  • Mention in Statistics and Operational Research, if you pass the 4 subjects: Operational Research Models, Sampling and Surveys, Multivariate Analysis and Combinatorial Programming, that is, the electives are considered mandatory for mention.
  • Mathematics and Applications Mention, if at least 3 of the 4 subjects of the corresponding curricular intensification are passed, being able to choose an elective from the other two a priori not taken mentions (Statistics and Operational Research or Pure Mathematics).
  • Pure Mathematics Mention, if at least 3 of the 4 subjects of the corresponding curricular intensification are passed, being able to choose an elective from the other two a priori not taken mentions (Statistics and Operational Research or Mathematics and Applications).

The subjects must be effectively taken, that is, none of them can be obtained as recognition, except if it is because it adapts precisely that optional subject, existing in the 2013 Plan. In any of the intensifications it would be advisable for the Final Degree Project (TFG) subject to maintain the profile of the chosen mention.

Students who have completed any of the above-mentioned courses will see the corresponding curricular intensification reflected in the issuance of their Official Degree as a Graduate in Mathematics. Students who do not opt for any of the above-mentioned courses must complete 24 ECTS credits by choosing any 4 of the optional subjects offered, without any restriction on the recognition of any of these optional subjects. When their degree is issued, only Graduate in Mathematics will appear.

Description of the module structure

The modules are listed below, specifying subjects, nature, time location and number of ECTS in the curriculum programming:

Level 1: Module Character (Matter) Level 2: Subjects Four-month period ECTS
Algebra Basic (Mathematics) Fundamentals of Mathematics 1st 6
Linear Algebra 2nd 7.5
Mandatory Algebra 4th 6
Group Theory 5th 6
Galois theory 6th 6
Electives Commutative Algebra 7th 6
Algebraic Curves 8th 6
Mathematical Analysis Basic (Mathematics) Differential Calculus of a Real Variable 1st 9
Integral calculus of a real variable 2nd 9
Mandatory Differential Calculus of several real variables 3rd 6
Integral calculus of several real variables 4th 6
Complex Variable 5th 6
Measurement and Integration 6th 6
Elective Functional Analysis 7th 6
Computing Basic (Mathematics) Introduction to Scientific Computing 1st 7.5
Mandatory Advanced Computing 2nd 6
Differential Equations and Numerical Methods Mandatory Differential Equations I 5th 6
Differential Equations II 6th 6
Numerical Methods I 3rd 6
Numerical Methods II 6th 6
Partial Differential Equations 7th 6
Modeling 8th 6
Elective Numerical Methods in Partial Differential Equations 8th 6
Statistics and Operations Research Basic (Mathematics) Statistics 1st 7.5
Mandatory Discrete Mathematics 3rd 6
Optimization 4th 6
Odds 4th 6
Statistical Inference 5th 6
Electives Operational Research Models 7th 6
Sampling and Surveys 7th 6
Multivariate Analysis 8th 6
Combinatorial Programming 8th 6
Physics Basic (Physics) Physics 4th 6
Elective Spectral Data Analysis 8th 6
Geometry and Topology Basic (Mathematics) Basic Geometry 2nd 7.5
Mandatory Affine Geometry 3rd 6
General Topology 3rd 6
Differential Geometry of Curves and Surfaces 5th 6
Introduction to Algebraic Topology 6th 6
Electives Differential Geometry and Applications 7th 6
Algebraic Topology 8th 6
Mathematics for Teaching Elective Mathematics for Teaching 7th 6
Internships Internships Internships Annual 12
Final Degree Project Final Degree Project Final Degree Project Annual 12

 

(*) In compliance with Royal Decree 1125/2003, each ECTS credit is computed as 25 hours of student work, which include hours of lectures (theory and problem solving), seminars, supervised practical work or projects, preparation and presentation of work, preparation and completion of exams, study of theoretical concepts and independent problem solving. Additionally, the General Guidelines for the Design of Bachelor's Degrees of the University of La Laguna, based on Royal Decree 1393/2007 of October 29, consider that they are divided into 10 hours of face-to-face activities and 15 hours of independent work.

Mathematics degree curriculum