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Courses Catalogue

Courses Catalogue for exchange students at FME-UPC

List of available courses for academic year 2021/22

 

FALL SEMESTER

Code and CourseDegree*LanguageSyllabus and requirementsAdditional 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

34961

Quantitative and qualitative methods for 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

200648

Software for Statistics: R and SAS

MESIO Spanish

It substitutes the old Software for Statistics and Optimization course.

The availability cannot be guaranteed

200643

Models and Methods for Operations Research

MESIO Spanish

Each student may choose between the introductory or advanced course

The availability cannot be guaranteed.

200620

Risk Quantification

MESIO Spanish Basic notions of statistical inference and multivariate analysis are needed

200607

Mathematics

MESIO Spanish This is a leveling course for students in Path 2. Not available for students in Path 1.

200604

Advanced Statistical Inference

MESIO English

Mandatory for students in Path 1.

The availability cannot be guaranteed

200622

Statistics for Business Management

MESIO

English

Spanish

Basic knowledge of data analysis, probability models and inference is recommended

200608

Simulation

MESIO

Spanish

Background on probability, statistical inference and linear models and familiarity with the R software are needed

200625

Econometric Analysis

MESIO

Spanish

Background on statistics is needed

200616

Continuous Optimization

MESIO

English

Background on algebra is advisable but not mandatory

200605

Foundations of Statistical Inference

MESIO

Spanish

Students from path 1 cannot choose this course.

The availability cannot be guaranteed.

200630

Foundations of Bioinformatics

MESIO

Spanish

Basic knowledge of statistical software R is recommended

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

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

200642

Optimization in Data Science

MESIO

Spanish

Basic knowledge of statistics and operations research is recommended

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 Core course from the 1st year of the degree in Mathematics

200002

Linear algebra

Bachelor in Mathematics Catalan Core course from the 1st year of the degree in Mathematics

200003

Fundamentals of mathematics

Bachelor in Mathematics

Catalan

(Theory)

Spanish (Problems)

Core course from the 1st year of the degree in Mathematics

200011

Computer science

Bachelor in Mathematics

Catalan

Core course from the 1st year of the degree in Mathematics

200006

Integral calculus

Bachelor in Mathematics

Spanish

Catalan

Core course from the 2nd year of the degree in Mathematics, requires previous courses on Calculus

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

200152

Mathematical programming

Bachelor in Mathematics

Catalan

Core course from the 2nd 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

200112

Algebraic structures

Bachelor in Mathematics

Catalan

Core course from the 3rd year of the degree in Mathematics

200131

Probability theory

Bachelor in Mathematics

Spanish

Catalan

Core course from the 3rd year of the degree in Mathematics

200141

Ordinary differential equations

Bachelor in Mathematics

Catalan

Core course from the 3rd year of the degree in Mathematics

200153

Numerical calculus

Bachelor in Mathematics

Catalan

Core course from the 3rd year of the degree in Mathematics

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

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.

200213

Dynamical systems

Bachelor in Mathematics

Catalan

Requires ODEs and Numerical Methods

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 2020-21, 2022-23. 

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

200231

Algorithms and complexity

Bachelor in Mathematics

English

This course is offered in alternate academic years 2019-20, 2021-22. 
200211 Functional analysis

 

Bachelor in Mathematics English

 

Requires knowledge of Real analysis, ODEs, PDEs, Topology and Algebra

200546

Files and databases1

Bachelor in Statistics

Catalan

Course from the degree in Statistics, subject to availability

200547

Bayesian methods1

Bachelor in Statistics

Catalan

Course from the degree in Statistics, subject to availability

200549

Nonlinear programming and network flows1

Bachelor in Statistics

Spanish

Course from the degree in Statistics, subject to availability.

200551

Experiments design1

Bachelor in Statistics

Catalan

Course from the degree in Statistics, subject to availability

200552

Linear models1

Bachelor in Statistics

Catalan

Course from the degree in Statistics, subject to availability

200556

Time series analysis1

Bachelor in Statistics

Catalan

Course from the degree in Statistics, subject to availability

200557

Generalized linear models1

Bachelor in Statistics

Catalan

Course from the degree in Statistics, subject to availability

200559

Statistical methods for finance and insurance1

Bachelor in Statistics

Catalan

(Theory)

English

(Problems)

Course from the degree in Statistics, subject to availability

200563

Industrial statistics1

Bachelor in Statistics

Catalan

Course from the degree in Statistics, subject to availability

200565

Statistical methods in data mining1

Bachelor in Statistics

Catalan

Course from the degree in Statistics, subject to availability

*MAMME: Master in Advanced Mathematics and Mathematical Engineering

*MESIO: Master in Statistics and Operations Research

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.

SPRING SEMESTER

Code and CourseDegree*LanguageSyllabus and requirementsAdditional information

34954

Codes and cryptography

MAMME English Background on probability and number theory is needed 

34959

Computational mechanics

MAMME English A bachelor course on ODEs and PDEs is needed

34966

Differentiable manifolds

MAMME English A bachelor course on differential geometry is needed

34952

Algebraic geometry

MAMME English

Background on commutative algebra and topology 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)

The availability cannot be guaranteed.
Background on linear algebra and statistical inference needed

200610

Time Series

MESIO English

The availability cannot be guaranteed. Background on statistics is needed

200611

Bayesian analysis

MESIO Spanish

The availability cannot be guaranteed. Basic knowledge of statistics is recommended, but not needed

200612

Longitudinal Data Analysis

MESIO English Background on mathematical statistics and probability are desired

200617

Stochastic Optimization

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. For exceptional reasons, this course will not be taught during the Spring semester of the 2020/21 academic year.

200623

Simulation for Business Decision Making

MESIO English Basic knowledge of statistics is needed

200624

Social Indicators

MESIO Spanish Basic knowledge of statistics is recommended, but not needed

200626

Financial Statistics

MESIO Spanish Basic knowledge of statistics and time series is recommended

200631

Omics Data Analysis

MESIO English The course assumes the usual knowledge of a student in a Master's Degree of Statistics

200632

Epidemiology

MESIO English Knowledge of the software package R is required

200634

Discrete Network Models

MESIO Spanish Basic knowledge on some programming language is required

200644

Statistical Learning

MESIO

English

Spanish

The availability cannot be guaranteed.
A Master's course on Statistical inference and intermediate knowledge of R environment are needed

200645

Statistical programming and databases

MESIO English

The availability cannot be guaranteed.
Background on statistics and a B2 level of English are required

200627

Clinical Trials

MESIO English Basic knowledge of statistics, estimations and testing is needed

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.

 

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

Spanish Catalan

Core course from the 1st year of the degree in Mathematics, requires Linear Algebra

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

200021

Physics

Bachelor in Mathematics

Spanish

Catalan

Core course from the 2nd year of the degree in Mathematics

200101

Complex variable functions

Bachelor in Mathematics

Catalan

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

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

200171

Mathematical models in physics

Bachelor in Mathematics

Spanish

Core course from the 3rd year of the degree in Mathematics, requires a previous course in Physics

200202

Algebraic topology

Bachelor in Mathematics

English

Requires knowledge of Topology, Geometry and Matlab

200204

Algebraic geometry

Bachelor in Mathematics

Catalan

Requires knowledge of Linear, Multilinear and Abstract Algebra,Linear and Differential Geometry, Topology and Complex variables

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 2020-21, 2022-23. 

200247

Computational modelling

Bachelor in Mathematics

English

Some background in ODEs and PDEs is recommended

200249

Quantum computing

Bachelor in Mathematics

English

New course for the 2020/21 academic year

200548

Non-parametric and resampling methods1

Bachelor in Statistics

Catalan

Course from the degree in Statistics, subject to availability

200550

Queuing theory and simulation1

 

Bachelor in Statistics

Catalan

Course from the degree in Statistics, subject to availability

200553

Multivariate analysis1

Bachelor in Statistics

Catalan

Course from the degree in Statistics, subject to availability

200554

Statistics for biosciences1

Bachelor in Statistics

Catalan

Course from the degree in Statistics, subject to availability

200555

Econometrics1

Bachelor in Statistics

Catalan

Course from the degree in Statistics, subject to availability

200561

Survival analysis1

Bachelor in Statistics

Catalan

Course from the degree in Statistics, subject to availability

200568

Optimization in Engineering1

Bachelor in Statistics

Catalan

Course from the degree in Statistics, subject to availability

 *MAMME: Master in Advanced Mathematics and Mathematical Engineering

 *MESIO: Master in Statistics and Operations Research

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.

Courses Timetables

Check here courses timetables in order to avoid overlapping.

Exams Calendar

You can consult here the exams calendar.