Courses Catalogue
List of available courses for academic year 2023/24
FALL SEMESTER | ||||
|---|---|---|---|---|
| Code and Course | Degree* | Language** | Syllabus and requirements | Additional information |
|
34950 Commutative algebra |
MAMME | English |  |
A bachelor course on algebra is needed |
|
34951 Non-commutative algebra |
MAMME | English | |
Background on group theory is needed |
|
34953 Number theory |
MAMME | English | |
A good background on algebra is needed |
|
34956 Discrete and algorithmic geometry |
MAMME | English | |
Basic notions of combinatorics are needed |
|
34957 Graph Theory |
MAMME | English | |
Basic notions of combinatorics and probability are needed |
|
34958 Mathematical Modelling with Partial Differential Equations |
MAMME | English | |
Good knowledge of Calculus techniques, including integral theorems. Elementary solution of PDEs and ODEs |
|
34960 Mathematical Models in Biology |
MAMME | English | |
Basic knowledge on calculus, algebra, probability, statistics, programming and differential equations |
|
34961 Quantitative and qualitative methods in dynamical systems |
MAMME | English | |
Background on ODEs is needed |
|
34964 Numerical methods for dynamical systems |
MAMME | English | |
Background on numerical methods, ODEs and PDEs is needed |
|
34965 Numerical methods for partial differential equations |
MAMME | English | |
A bachelor course on ODEs and PDEs is needed |
|
200604 Advanced Statistical Inference |
MESIO | English | |
Mandatory for students in Path 1. The availability cannot be guaranteed2. |
|
200605 Foundations of Statistical Inference |
MESIO |
Spanish |
|
Students from path 1 cannot choose this course. The availability cannot be guaranteed2. |
|
200607 Mathematics |
MESIO | Spanish | |
This is a leveling course for students in Path 2. Not available for students in Path 1. |
|
200608 Simulation |
MESIO |
Spanish |
|
Background on probability, statistical inference and linear models and familiarity with the R software are needed |
|
200609 Lifetime Data Analysis |
MESIO |
English |
|
Background on estimation theory, regression models and hypothesis tests and R software is advisable in order to take the course successfully |
|
200616 Continuous Optimisation |
MESIO |
English |
|
Background on algebra is advisable but not mandatory |
|
200620 Risk Quantification |
MESIO | Spanish | |
Basic notions of statistical inference and multivariate analysis are needed |
|
200622 Statistics for Business Management |
MESIO |
English Spanish |
|
Basic knowledge of data analysis, probability models and inference is recommended |
|
200625 Econometric Analysis |
MESIO |
Spanish |
|
Background on statistics is needed |
|
200630 Fundations of Bioinformatics |
MESIO |
Spanish |
|
Basic knowledge of statistical software R is recommended |
|
200633 Spatial Epidemiology |
MESIO |
English |
|
The main concepts will be treated in the classroom by in-person lessons |
|
200641 Linear and Generalized Linear Models |
MESIO |
English |
|
The student should know the basic probability distributions and be familiarized with the main concepts of Statistical Inference. The availability cannot be guaranteed2. |
|
200642 Optimization in Data Science |
MESIO |
English Spanish |
|
Basic knowledge of statistics and operations research is recommended. The availability cannot be guaranteed2. |
|
200643 Models and Methods from Operations Research |
MESIO |
Spanish English |
|
Each student may choose between the introductory or advanced course. The availability cannot be guaranteed2. |
|
200645 Statistical Programming and Databases |
MESIO |
English |
|
Background on statistics and a B2 level of English are required. The availability cannot be guaranteed2. |
|
200648 Statistical software: R and SAS |
MESIO | English |
|
It substitutes the old Software for Statistics and Optimization course. The availability cannot be guaranteed2. |
|
200650 Genetic Epidemiology |
MESIO |
English |
|
Knowledge of basic statistical inference and generalized linear regression models and basic knowledge of the use of the R analysis program is recommended. |
|
200001 Single variable calculus |
Bachelor in Mathematics |
Catalan Spanish |
|
Core course from the 1st year of the degree in Mathematics. |
|
200002 Linear algebra |
Bachelor in Mathematics |
Catalan Spanish |
|
Core course from the 1st year of the degree in Mathematics. |
|
200003 Fundamentals of mathematics |
Bachelor in Mathematics |
Catalan |
|
Core course from the 1st year of the degree in Mathematics. |
|
200006 Integral calculus |
Bachelor in Mathematics |
Catalan Spanish |
|
Core course from the 2nd year of the degree in Mathematics, requires previous courses on Calculus. |
|
200011 Computer science |
Bachelor in Mathematics |
Catalan |
|
Core course from the 1st year of the degree in Mathematics. |
|
200111 Multilinear algebra and geometry |
Bachelor in Mathematics |
Catalan |
|
Core course from the 2nd year of the degree in Mathematics, requires previous course in Linear Algebra and Affine/Euclidean Geometry. |
|
200112 Algebraic structures |
Bachelor in Mathematics |
Catalan |
|
Core course from the 3rd year of the degree in Mathematics. |
|
200131 Probability theory |
Bachelor in Mathematics |
Catalan |
|
Core course from the 3rd year of the degree in Mathematics. |
|
200141 Ordinary differential equations |
Bachelor in Mathematics |
Catalan Spanish |
|
Core course from the 3rd year of the degree in Mathematics. |
|
200152 Mathematical programming |
Bachelor in Mathematics |
Catalan |
|
Core course from the 2nd year of the degree in Mathematics. |
|
200153 Numerical calculus |
Bachelor in Mathematics |
Catalan |
|
Core course from the 3rd year of the degree in Mathematics. |
|
200162 Algorithmics |
Bachelor in Mathematics |
Catalan |
|
Core course from the 2nd year of the degree in Mathematics, requires a previous course in Programming. |
|
200172 Mathematical models in technology |
Bachelor in Mathematics |
English |
|
Requires Calculus, Linear Algebra, Geometry, ODEs, PDEs, Numerical methods and Physics. |
|
200201 Galois theory |
Bachelor in Mathematics |
Catalan |
|
Requires the course Algebraic structures. |
|
200203 Differentiable manifolds |
Bachelor in Mathematics |
Catalan |
|
Requires Linear and Multilinear Algebra, Calculus, Topology, Differential Geometry, ODEs. |
|
200213 Dynamical systems |
Bachelor in Mathematics |
Catalan |
|
Requires ODEs and Numerical Methods. |
|
200231 Algorithms and complexity |
Bachelor in Mathematics |
English |
|
This course is offered in alternate academic years 2019-20, 2021-22. |
|
200232 Combinatorics and graph theory |
Bachelor in Mathematics |
English |
|
Requires a first course in Discrete Mathematics. |
|
200245 Cryptology |
Bachelor in Mathematics |
English |
|
Requires Algebra. This course is offered in alternate academic years 2022-23, 2024-25. |
|
200246 Abstract algebra |
Bachelor in Mathematics |
English |
|
A previous course in Algebraic Structures is recommended. |
|
200248 Numerical methods for differential equations |
Bachelor in Mathematics |
English |
|
Some background in ODEs and PDEs is recommended. |
|
200546 Files and databases1 |
Bachelor in Statistics |
Catalan |
|
Course from the degree in Statistics. The availability cannot be guaranteed2. |
|
200547 Bayesian methods1 |
Bachelor in Statistics |
Catalan |
|
Course from the degree in Statistics. The availability cannot be guaranteed2. |
|
200549 Nonlinear Programming and Flows in Networks1 |
Bachelor in Statistics |
Spanish |
|
Course from the degree in Statistics. The availability cannot be guaranteed2. |
|
200551 Experiments design1 |
Bachelor in Statistics |
Catalan |
|
Course from the degree in Statistics. The availability cannot be guaranteed2. |
|
200552 Linear models1 |
Bachelor in Statistics |
Catalan |
|
Course from the degree in Statistics. The availability cannot be guaranteed2. |
|
200556 Time series analysis1 |
Bachelor in Statistics |
Catalan |
|
Course from the degree in Statistics. The availability cannot be guaranteed2. |
|
200557 Generalized linear models1 |
Bachelor in Statistics |
Catalan |
|
Course from the degree in Statistics. The availability cannot be guaranteed2. |
|
200559 Statistical methods for finance and insurance1 |
Bachelor in Statistics |
Catalan (Theory) English (Problems) |
|
Course from the degree in Statistics. The availability cannot be guaranteed2. |
|
200563 Industrial statistics1 |
Bachelor in Statistics |
Catalan |
|
Course from the degree in Statistics. The availability cannot be guaranteed2. |
|
200565 Statistical methods in data mining1 |
Bachelor in Statistics |
Catalan |
|
Course from the degree in Statistics. The availability cannot be guaranteed2. |
|
270219 Information Visualization |
Bachelor in Data Science and Engineering |
English |
|
Programming skills required. The availability cannot be guaranteed2. |
|
270220 Information Retrieval and Analysis |
Bachelor in Data Science and Engineering |
English |
|
Programming in python is required; first courses of algebra, calculus, and algorithmics are required, and some knowledge on data analysis and machine learning is also needed. The availability cannot be guaranteed2. |
*MAMME: Master in Advanced Mathematics and Mathematical Engineering
*MESIO: Master in Statistics and Operations Research
**Language: If two different languages appear in this column, it means that one part of the course will be taught in one language, and another part in the other language.
1 Courses from the Bachelor in Statistics typically start and end one or two weeks later than courses from the Bachelor in Mathematics. Evaluations take more time than the other courses at FME; therefore, if you depend on those to graduate, you will have to wait until all the grades are included in your record.
2 Our course availability depends on capacity limits, and some courses may fill up, preventing additional enrollments. We regret that we cannot guarantee availability for all Erasmus students due to limited space.
SPRING SEMESTER | ||||
|---|---|---|---|---|
| Code and Course | Degree* | Language** | Syllabus and requirements | Additional information |
|
34952 Algebraic geometry |
MAMME | English |
|
Background on commutative algebra and topology is needed. |
|
34953 Number Theory |
MAMME | English |
|
Basic knowledge of algebraic structures: groups, rings and fields. |
|
34954 Codes and cryptography |
MAMME | English | |
Background on probability and number theory is needed |
|
34955 Combinatorics |
MAMME | English | |
Basic calculus and linear algebra. Notions of probability. |
|
34959 Computational mechanics |
MAMME | English | |
A bachelor course on ODEs and PDEs is needed |
|
34962 Hamiltonian Systems |
MAMME | English | |
Knowledge of calculus, algebra and ordinary differential equations. |
|
34963 Advanced Course in Partial Differential Equations |
MAMME | English | |
Undergraduate courses in Partial Differential Equations and in Mathematical Analysis. |
|
34966 Differentiable manifolds |
MAMME | English | |
A bachelor course on differential geometry is needed |
|
200900 Machine Learning |
MAMME | English |
|
New course for academic year 2020/21. |
|
200901 Seminar on algebra, geometry and discrete mathematics |
MAMME | English |
|
New course for academic year 2020/21. 3 ECTS elective course. |
|
200902 Seminar on analysis, differential equations and modelling |
MAMME | English |
|
New course for academic year 2020/21. 3 ECTS elective course. |
|
200603 Probability and Stochastic Processes |
MESIO | English | |
Basic knowledge of probability is recommended |
|
200606 Multivariate data analysis |
MESIO |
English (1st part) Spanish (2nd part) |
|
Background on linear algebra and statistical inference needed. The availability cannot be guaranteed2. |
|
200610 Time Series |
MESIO | English | |
Background on statistics is needed. The availability cannot be guaranteed2. |
|
200611 Bayesian analysis |
MESIO | Spanish | |
Basic knowledge of statistics is recommended, but not needed. The availability cannot be guaranteed2. |
|
200612 Longitudinal Data Analysis |
MESIO | English | |
Background on mathematical statistics and probability are desired. |
|
200617 Stochastic Programming |
MESIO | English | |
Basic knowledge of Operations Research / Optimization / Mathematical Programming and Modelling is required. |
|
200618 Large Scale Optimization |
MESIO | English | |
Basic knowledge of optimization and linear algebra are recommended. |
|
200619 Actuarial Statistics |
MESIO | Spanish | |
Students should have previous knowledge of probability distributions. |
|
200621 Quantitative Marketing Techniques |
MESIO | Spanish | |
Students should be familiar with techniques of multivariate statistics. |
|
200623 Simulation for Business Decision Making |
MESIO | English | |
Basic knowledge of statistics is needed. |
|
200627 Clinical Trials |
MESIO | English | |
Basic knowledge of statistics, estimations and testing is needed. |
|
200629 Advanced Topics in Survival Analysis |
MESIO | English | |
Students must know the basic concepts of survival analysis. |
|
200631 Omics Data Analysis |
MESIO | English | |
The course assumes the usual knowledge of a student in a Master's Degree of Statistics. This course is offered in alterate academic years 2022-23, 2024-25 |
|
200644 Statistical Learning |
MESIO |
English Spanish |
|
A Master's course on Statistical inference and intermediate knowledge of R environment are needed. The availability cannot be guaranteed2. |
|
200646 Statistical methods in clinical research |
MESIO | Spanish | |
It is necessary that students have basic knowledge of R. |
|
200649 Statistical Learning with deep artificial neural networks |
MESIO | Spanish | |
Prior skills using the R environment for statistical computing and programming are required.
|
|
200653 Quantitative Finance |
MESIO |
Spanish / English |
|
The course assumes basic levels of statistics. Basic concepts related to Finance and being familiar with ARIMA models would also help to follow the course. |
|
200004 Differential calculus |
Bachelor in Mathematics |
Catalan (Theory) Spanish (Problems) |
|
Core course from the 1st year of the degree in Mathematics. |
|
200005 Affine and euclidean geometry |
Bachelor in Mathematics |
Catalan |
|
Core course from the 1st year of the degree in Mathematics, requires Linear Algebra. |
|
200021 Physics |
Bachelor in Mathematics |
Catalan |
|
Core course from the 2nd year of the degree in Mathematics. |
|
200101 Complex variable functions |
Bachelor in Mathematics |
Catalan Spanish |
|
Core course from the 2nd year of the degree in Mathematics, requires previous courses on Calculus. |
|
200102 Real analysis |
Bachelor in Mathematics |
Catalan |
|
Core course from the 2nd year of the degree in Mathematics, requires previous courses on Calculus. |
|
200121 Topology |
Bachelor in Mathematics |
Catalan |
|
Core course from the 2nd year of the degree in Mathematics. |
|
200122 Differential geometry |
Bachelor in Mathematics |
Catalan |
|
Core course from the 3rd year of the degree in Mathematics. |
|
200132 Statistics |
Bachelor in Mathematics |
Catalan Spanish |
|
Core course from the 3rd year of the degree in Mathematics, requires a previous course in Probability. |
|
200142 Partial differential equations |
Bachelor in Mathematics |
Catalan |
|
Core course from the 3rd year of the degree in Mathematics. |
|
200151 Numerical linear algebra |
Bachelor in Mathematics |
Catalan |
|
Core course from the 1st year of the degree in Mathematics, requires Linear Algebra. |
|
200161 Discrete mathematics |
Bachelor in Mathematics |
Catalan |
|
Core course from the 1st year of the degree in Mathematics. |
|
200171 Mathematical models in physics |
Bachelor in Mathematics |
Spanish Catalan |
|
Core course from the 3rd year of the degree in Mathematics, requires a previous course in Physics. |
|
200202 Algebraic topology |
Bachelor in Mathematics |
Catalan |
|
Requires knowledge of Topology, Geometry and Matlab. |
|
200204 Algebraic geometry |
Bachelor in Mathematics |
Catalan Spanish |
|
Requires knowledge of Linear, Multilinear and Abstract Algebra,Linear and Differential Geometry, Topology and Complex variables. |
|
200211 Functional Analysis |
Bachelor in Mathematics | Catalan | |
Requires knowledge of Real analysis, ODEs, PDEs, Topology and Algebra. |
|
200212 Control Theory
|
Bachelor in Mathematics | English
|
|
Requires Linear Algebra, Calculus, ODEs; Differential Geometry recommended. This course is offered in alternate years 2021-22, 2023-2024. |
|
200223 Financial mathematics |
Bachelor in Mathematics |
Catalan |
|
Requires knowledge of ODEs and Probability. |
|
200241 History of mathematics |
Bachelor in Mathematics |
Catalan |
|
Requires knowledge of the first two years of a degree in Mathematics. |
|
200244 Nonlinear Time Series Analysis |
Bachelor in Mathematics |
English |
|
Requires experience with Matlab or other programming languages. This course is offered in alterate academic years 2022-23, 2024-25. |
|
200247 Computational modelling |
Bachelor in Mathematics |
English |
|
Some background in ODEs and PDEs is recommended. |
|
200548 Non-parametric and resampling methods1 |
Bachelor in Statistics |
Catalan |
|
Course from the degree in Statistics. The availability cannot be guaranteed2. |
|
200249 Quantum computing |
Bachelor in Mathematics |
English |
|
New course for the 2020/21 academic year. |
|
200550 Queuing theory and simulation1
|
Bachelor in Statistics |
Catalan |
|
Course from the degree in Statistics. The availability cannot be guaranteed2. |
|
200553 Multivariate analysis1 |
Bachelor in Statistics |
Catalan |
|
Course from the degree in Statistics. The availability cannot be guaranteed2. |
|
200554 Statistics for biosciences1 |
Bachelor in Statistics |
Catalan |
|
Course from the degree in Statistics. The availability cannot be guaranteed2. |
|
200555 Econometrics1 |
Bachelor in Statistics |
Catalan |
|
Course from the degree in Statistics. The availability cannot be guaranteed2. |
|
200561 Survival analysis1 |
Bachelor in Statistics |
Catalan |
|
Course from the degree in Statistics. The availability cannot be guaranteed2. |
|
200568 Optimization in Engineering1 |
Bachelor in Statistics |
Catalan |
|
Course from the degree in Statistics. The availability cannot be guaranteed2. |
|
Image Processing and Artificial Vision |
Bacherlor in Data Science and Engineering |
Spanish / Catalan |
|
Core course from the 3rd year of the degree in Data Science and Engineering. Advance knowledge in machine learning techniques required. Programming skills required. The availability cannot be guaranteed2. |
|
Mathematical Optimization |
Bacherlor in Data Science and Engineering |
Spanish / Catalan |
|
Core course from the 2nd year of the degree in Data Science and Engineering. First courses of algebra, calculus and programming skills are required. The availability cannot be guaranteed2. |
*MAMME: Master in Advanced Mathematics and Mathematical Engineering
*MESIO: Master in Statistics and Operations Research
**Language: If two different languages appear in this column, it means that one part of the course will be taught in one language, and another part in the other language.
1 Courses from the Bachelor in Statistics typically start and end one or two weeks later than courses from the Bachelor in Mathematics. Evaluations take more time than the other courses at FME; therefore, if you depend on those to graduate, you will have to wait until all the grades are included in your record.
2 Our course availability depends on capacity limits, and some courses may fill up, preventing additional enrollments. We regret that we cannot guarantee availability for all Erasmus students due to limited space.
Courses Timetables
Check here courses timetables in order to avoid overlapping.
Exams Calendar
You can consult here the exams calendar.