Courses / DM / Master’s degree in Mathematics

Master’s degree in Mathematics

The work developed by a student during one academic year, according to the indicative plan of the course and on a full time basis, totals 60 ECTS.

Paths

Applied Analysis and Computation

Course unit title Year Course unit code Duration Type Subject area ECTS credits
Computational Visualization 1 02021960 1st Semester Compulsory COM 6.0
Mathematical Methods in Physics and Biology 1 02021536 1st Semester Compulsory MAT 6.0
Parallel Computing 1 02003476 1st Semester Compulsory COM 6.0
Advanced Programming 1 02002143 2nd Semester Compulsory COM 6.0
Numerical Methods for Partial Differential Equations 1 02002220 2nd Semester Compulsory MAT 6.0
Numerical Optimization 1 02002121 2nd Semester Compulsory MAT 6.0
Commutative Algebra 1 02021935 1st Semester Elective * MAT 6.0
Differentiable manifolds 1 02021954 1st Semester Elective * MAT 6.0
Linear Programming and Combinatorial Optimization 1 02021547 1st Semester Elective * MAT 6.0
Optimization Methods in Finance 1 02010527 1st Semester Elective * MAT 6.0
Real and Functional Analysis 1 02021519 1st Semester Elective * MAT 6.0
Stochastic Processes and Calculus 1 02010497 1st Semester Elective * MAT 6.0
Time Series 1 02002168 1st Semester Elective * MAT 6.0
Algebraic Geometry 1 02002056 2nd Semester Elective * MAT 6.0
Algebraic Topology 1 02002286 2nd Semester Elective * MAT 6.0
Category Theory 1 02002179 2nd Semester Elective * MAT 6.0
Game Theory 1 01001423 2nd Semester Elective * MAT 6.0
Groups and their representations 1 02002067 2nd Semester Elective * MAT 6.0
Mathematics in Finance 1 02002089 2nd Semester Elective * MAT 6.0
Partial Differential Equations 1 02002044 2nd Semester Elective * MAT 6.0
Risk Theory 1 02002275 2nd Semester Elective * MAT 6.0
Sampling and Surveys 1 02021946 2nd Semester Elective * MAT 6.0
Course unit title Year Course unit code Duration Type Subject area ECTS credits
Dissertation in Applied Analysis and Computing 2 02021592 Annual Compulsory MAT 45.0
Mathematical Modeling 2 02021663 1st Semester Elective * MAT 6.0
Research Project in Applied Analysis and Computing 2 02021615 1st Semester Elective * MAT 9.0
Seminar Course in Mathematical Modeling 2 02021652 1st Semester Elective * MAT 3.0
Seminar in Applied Analysis and Computing 2 02021626 1st Semester Elective * MAT 6.0

Pure Mathematics

Course unit title Year Course unit code Duration Type Subject area ECTS credits
Commutative Algebra 1 02021935 1st Semester Compulsory MAT 6.0
Differentiable manifolds 1 02021954 1st Semester Compulsory MAT 6.0
Real and Functional Analysis 1 02021519 1st Semester Compulsory MAT 6.0
Stochastic Processes and Calculus 1 02010497 1st Semester Compulsory MAT 6.0
Partial Differential Equations 1 02002044 2nd Semester Compulsory MAT 6.0
Computational Visualization 1 02021960 1st Semester Elective * COM 6.0
Databases 1 01001330 1st Semester Elective * COM 6.0
Linear Programming and Combinatorial Optimization 1 02021547 1st Semester Elective * MAT 6.0
Mathematical Logic 1 01001324 1st Semester Elective * MAT 6.0
Mathematical Methods in Physics and Biology 1 02021536 1st Semester Elective * MAT 6.0
Optimization Methods in Finance 1 02010527 1st Semester Elective * MAT 6.0
Parallel Computing 1 02003476 1st Semester Elective * COM 6.0
Time Series 1 02002168 1st Semester Elective * MAT 6.0
Topology and Linear Analysis 1 01001302 1st Semester Elective * MAT 6.0
Course unit title Year Course unit code Duration Type Subject area ECTS credits
Dissertation in Pure Mathematics 2 02021570 Annual Compulsory MAT 54.0
Seminar in Pure Mathematics 2 02021564 1st Semester Compulsory MAT 6.0

Grupo: Options Group A (min ECTS 6.0)

Course unit title Year Course unit code Duration Type Subject area ECTS credits
Category Theory 1 02002179 2nd Semester Elective * MAT 6.0
Groups and their representations 1 02002067 2nd Semester Elective * MAT 6.0

Grupo: Options Group B (min ECTS 6.0)

Course unit title Year Course unit code Duration Type Subject area ECTS credits
Algebraic Geometry 1 02002056 2nd Semester Elective * MAT 6.0
Algebraic Topology 1 02002286 2nd Semester Elective * MAT 6.0

Grupo: Options Group C (min ECTS 12.0)

Course unit title Year Course unit code Duration Type Subject area ECTS credits
Mathematics in Finance 1 02002089 2nd Semester Compulsory MAT 6.0
Numerical Optimization 1 02002121 2nd Semester Compulsory MAT 6.0
Sampling and Surveys 1 02021946 2nd Semester Compulsory MAT 6.0
Advanced Programming 1 02002143 2nd Semester Elective * COM 6.0
Celestial Mechanics 1 01001398 2nd Semester Elective * MAT 6.0
Game Theory 1 01001423 2nd Semester Elective * MAT 6.0
Numerical Methods for Partial Differential Equations 1 02002220 2nd Semester Elective * MAT 6.0
Object-Oriented Programming 1 01001412 2nd Semester Elective * COM 6.0
Risk Theory 1 02002275 2nd Semester Elective * MAT 6.0

Statistics, Optimization and Financial Mathematics

Course unit title Year Course unit code Duration Type Subject area ECTS credits
Linear Programming and Combinatorial Optimization 1 02021547 1st Semester Compulsory MAT 6.0
Optimization Methods in Finance 1 02010527 1st Semester Compulsory MAT 6.0
Stochastic Processes and Calculus 1 02010497 1st Semester Compulsory MAT 6.0
Time Series 1 02002168 1st Semester Compulsory MAT 6.0
Mathematics in Finance 1 02002089 2nd Semester Compulsory MAT 6.0
Numerical Optimization 1 02002121 2nd Semester Compulsory MAT 6.0
Sampling and Surveys 1 02021946 2nd Semester Compulsory MAT 6.0
Commutative Algebra 1 02021935 1st Semester Elective * MAT 6.0
Computational Visualization 1 02021960 1st Semester Elective * COM 6.0
Databases 1 01001330 1st Semester Elective * COM 6.0
Differentiable manifolds 1 02021954 1st Semester Elective * MAT 6.0
Mathematical Logic 1 01001324 1st Semester Elective * MAT 6.0
Mathematical Methods in Physics and Biology 1 02021536 1st Semester Elective * MAT 6.0
Parallel Computing 1 02003476 1st Semester Elective * COM 6.0
Real and Functional Analysis 1 02021519 1st Semester Elective * MAT 6.0
Topology and Linear Analysis 1 01001302 1st Semester Elective * MAT 6.0
Advanced Programming 1 02002143 2nd Semester Elective * COM 6.0
Algebraic Geometry 1 02002056 2nd Semester Elective * MAT 6.0
Algebraic Topology 1 02002286 2nd Semester Elective * MAT 6.0
Category Theory 1 02002179 2nd Semester Elective * MAT 6.0
Celestial Mechanics 1 01001398 2nd Semester Elective * MAT 6.0
Game Theory 1 01001423 2nd Semester Elective * MAT 6.0
Groups and their representations 1 02002067 2nd Semester Elective * MAT 6.0
Numerical Methods for Partial Differential Equations 1 02002220 2nd Semester Elective * MAT 6.0
Object-Oriented Programming 1 01001412 2nd Semester Elective * COM 6.0
Partial Differential Equations 1 02002044 2nd Semester Elective * MAT 6.0
Risk Theory 1 02002275 2nd Semester Elective * MAT 6.0
Course unit title Year Course unit code Duration Type Subject area ECTS credits
Dissertation in Statistics, Optimization and Mathematics in Finance 2 02021553 Annual Compulsory MAT 54.0
Seminar in Statistics, Optimization, and Mathematics in Finance 2 02021581 1st Semester Compulsory MAT 6.0

The optional course units are offered on a yearly basis, depending on the availability of the Organic Unit