General presentation of the programme

The first year is in common with the bachelor programme in Physical Sciences. From the second year on, the students are encouraged to choose a minor or to complete their programme with additional options. Minors are offered in Computing Science, Statistics, Applied Mathematics, Physics and Economics. The student may also choose another minor from the University programme, based on a project to be elaborated together with the study advisor.
 
The activities offered include theoretical courses, exercises sessions, tasks, active participation in a seminar and the written summary of a given work task.
 
Language courses accompany the programme and aim at the mastery of scientific English. 
 
Principal Subjects 
 
Analysis : 43 credits 

• Mathematical Analysis 1 (30-30) (5 credits)
• Mathematical Analysis 2 (30-30) (5 credits)
• Mathematical Analysis 3 (45-45) (9 credits)
• Complex Analysis (30-15) (5 credits)
• Differential Equations (30-15) (5 credits)
• Functional Analysis and Equations with partial derivations (45-45) (8 credits)
• Theory of Measure (22,5-15) (3 credits)
• Topology (22.5-15) (3 credits)  

The " Analysis 1-2-3 " courses must be followed in the order indicated. The " Complex Analysis " and " Differential Equations " courses may be followed independently after " Analysis 2 ". The " Functional Analysis and EDP ", " Theory of Measure " and " Topology" courses may be followed independently after " Analysis 3 ". 
 

Algebra and Geometry : 31 credits 

• Linear Algebra (45-45) (8 credits)
• Multilinear Algebra and Theory of Groups (30-30) (6 credits)
• Commutative Algebra (45-0) (4 credits)
• Geometry1 (45-30) (7 credits)
• Geometry 2 (45-15) (6 credits)

The " Algebra 2 "and " Algebra 3 " courses may be followed independently after " Algebra 1 ". The " Geometry 1 " and " Geometry 2 " courses must be followed in order, after " Algebra 1 " and " Algebra 2 " respectively. 
 

Physics and Mechanics : 26 credits 

• General Physics 1 (45-45) (8 credits)
• General Physics 2 (45-45) (8 credits)
• Mathematical Methods in Classical Mechanics 1 (22.5-30) (5 credits)
• Mathematical Methods in Classical Mechanics 2 (22.5-30) (5 credits)

The " Physics 1 " and " Physics 2 " courses must be followed in order, just as the " Mechanics 1 " and the " Mechanics 2 " courses. The " Mechanics 1 " course must follow the " Physics 1 " course. 
 

Computing Studies and Numerical Analysis : 18 credits  

• Numerical Calculations : Methods and Software Tools (30-45) (7 credits)
• Numerical Analysis (22.5-30) (5 credits)
• Algorithmics and Programmation I (30-30) (6 credits)

The" Numerical Calculations "and" Numerical Analysis " courses must be followed in order. The " Algorithmics and Programmation I " course may be followed independently of the others. 
 

Probability-Statistics : 11 credits 

• Calculation of Probability and Statistical Analysis (30-30) (6 credits)
• Probability (30-22.5) (5 credits)

These courses must be followed in order. 
 

Actualities in Mathematics and Physics (15) (2 credits) 
 

Seminars and Summary writing : 8 credits 
 

English : 6 credits 

• English 1 (portfolio of texts) (2 credits)
• English 2 (30-0) (2 credits)
• English 3 (30-0) (2 credits)

These courses must be followed in order (except in the case of special exemption). 
 

Philosophy : 2 credits 
 

Options : 3 credits