Study plan Bachelor's Degree in Physics + Bachelor's Degree in Mathematics

Study guides

Timetables

Morning lectures. Practical sessions in the laboratory take place some afternoons. In your 5th year you may have both morning and afternoon sessions, depending on the specialisation you choose.

Study plan information

Table of credits for each course

	Basic training	Compulsory	Optional	Final Project
1st year	51	15
2nd year	12	54
3rd year		66
4th year		61	5
5th year			42	24
Totals	63	196	47	24

Period of study

Six-monthly (some first and second year subjects are annual)

Part-time or full-time

Full-time dedication. Part-time option available.

Basic and compulsory training

1st year	2nd year
Mechanics and Relativity Electricity and Magnetism Waves and Optics  Introduction to Experimental Physics (annual) Foundations of Mathematics Computational Tools for Mathematics (annual) Real Variable Functions (annual) Linear Algebra (annual)	Classical Mechanics Electromagnetism Mechanics Laboratory Electromagnetics Laboratory Structure of Matter and Thermodynamics Chemistry for Physicists Linear Geometry Algebraic Structures Calculus in Many Variables and Optimisation
3rd year	4th year
Quantum Physics I and II Differential Equations and Modelling I and II Seminar in Discrete Mathematics  Numerical Methods Mathematical Analysis Complex and Fourier Analysis Topology	Thermodynamics and Statistical Mechanics (annual) Optics (annual) Thermodynamics Laboratory Optics Laboratory Probability and Stochastic Modelling Statistics Galois Theory Differential Geometry
5th year
Bachelor's Degree Final Project in Mathematics (12 credits) Bachelor's Degree Final Project in Physics (12 credits)

Optional subjects

4th year

Bridging courses in physics: the subjects corresponding to the Physics Bridging Courses (5 ECTS each) can be chosen from the following optional subjects of the Physics degree programme. You must choose one.

• Advanced Mathematical Methods
• Introduction to Astrophysics
• Introduction to Biophysics
• Introduction to Nuclear and Particle Physics / 5
• Introduction to Materials Science / 5
• Introduction to Photonics

 

5th year

You must take 42 credits  from the following optional subjects of the Physics degree and Mathematics degrees programmes.

Bachelor's Degree in Mathematics

Physics

Real and Functional Analysis  Harmonic Analysis Commutative Algebra   Arithmetic Topology of Varieties Riemannian Geometry Stochastic Processes Mathematical Statistics Dynamical Systems Equations in Partial Derivatives Numerical calculus Numerical Integration of Equations in Partial Derivatives Current Mathematical Trends Operations Research Statistical Sampling Temporary Series Advanced Programming Practices   Biostatistics Artificial Intelligence Finance Management History of Mathematics

General block Quantum Mechanics Theoretical Mechanics and Non-Linear Systems Statistical Physics Solid State Physics Advanced Laboratory Electrodynamics and Synchrotron Radiation Fundamental block General Relativity and Cosmology Advanced Quantum Mechanics Fluids and Superfluids Quantum Optics Quantum Information (A) High Energy Physics Applications block Applied Optics Nanomaterial Physics (A) Environmental Physics Radiations Physics Electronics Accelerator Physics Hospital Physics Transversal block History of Physics External Practice

You can also choose from the optional subjects available in the Physics Bridging Course in which you previously did not enrol.

(A) Lectures are in English.

Specialisations are learning pathways included in the European Diploma Supplement (DS). In order to obtain a Specialisation at least 30 credits (5 subjects) must be taken for each pathway.

Specialisation in Statistics	Specialisation in Mathematical Economics	Specialisation in Mathematical Engineering
Mathematical Statistics Statistical Sampling Temporary Series Biostatistics Finance Management	Finance Management Operational Research Numerical Integration of Equations in Partial Derivatives Equations in Partial Derivatives Mathematical Statistics Temporary Series	Operational Research Numerical calculus Numerical Integration of Equations in Partial Derivatives Equations in Partial Derivatives Advanced Programming Artificial Intelligence
Specialisation in Fundamental Mathematics	Specialisation in Fundamental Physics	Specialisation in Applied Physics
Current Mathematical Trends (compulsory for specialisation) Commutative Algebra Real and Functional Analysis  Topology of Varieties Equations in Partial Derivatives Stochastic Processes Arithmetic Harmonic Analysis Riemannian Geometry Dynamic Systems Mathematical Statistics	6 credits from the main block of the Bachelor's Degree in Physics 24 credits from the fundamental block	6 credits from the main block of the Bachelor's Degree in Physics 24 credits from the applications block

Not all optional subjects are offered this year.