ECTS
CATALOGUE
- University of Pisa
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Academic year 2019/2020
MATEMATICA Degree Program Profile
Course structure diagram w/credits
Available tracks
Track Applicativo
Track Didattico
Track Generale
Track Modellistico
Track Teorico
Track Applicativo
Year 1 (2019/2020)
Free choice
6 ECTS
137AA
Fundamentals of mathematical physics
9 ECTS
136AA
Principles of numerical analysis
9 ECTS
Group ModAffInt - Choice of 12 ECTS from:
231AA
2-manifolds
6 ECTS
232AA
3-manifolds
6 ECTS
233AA
4-manifolds
6 ECTS
145AA
Advanced mechanics
6 ECTS
107AA
Advanced numerical linear algebra
6 ECTS
560AA
Advanced probability
6 ECTS
037AA
Algebra 1
6 ECTS
038AA
Algebra 2
6 ECTS
115AA
Algebraic geometry A
6 ECTS
116AA
Algebraic geometry B
6 ECTS
117AA
Algebraic geometry C
6 ECTS
118AA
Algebraic geometry D
6 ECTS
119AA
Algebraic geometry E
6 ECTS
120AA
Algebraic geometry F
6 ECTS
077AA
Algebraic number theory 1
6 ECTS
202AA
Algebraic number theory 2
6 ECTS
706AA
Algebraic number theory 3
6 ECTS
226AA
Algebraic topology
6 ECTS
039AA
Algorithms and data structure
6 ECTS
549AA
Analysis in metric spaces
6 ECTS
204AA
Analytic number theory A
6 ECTS
205AA
Analytic number theory B
6 ECTS
701AA
Applications of Differential Equations in Biomedicine
6 ECTS
700AA
Applications of fluid dynamics in biomedicine
6 ECTS
146AA
Approximation methods
6 ECTS
210AA
Automated control theory
6 ECTS
096AA
Calculus of variations A
6 ECTS
097AA
Calculus of variations B
6 ECTS
220AA
Category theory
6 ECTS
142AA
Celestial mechanics
6 ECTS
209AA
Coding theory
6 ECTS
079AA
Coding theory and cryptography
6 ECTS
610AA
Combinatorial optimization
6 ECTS
582AA
Complements of mathematics education
6 ECTS
091AA
Complex analysis A
6 ECTS
092AA
Complex analysis B
6 ECTS
123AA
Complex differential geometry
6 ECTS
217AA
Computability Theory
6 ECTS
082AA
Computational commutative algebra and algebraic geometry
6 ECTS
129AA
Computational real geometry
6 ECTS
045AA
Computer algebra
6 ECTS
083AA
Computer algebra A
6 ECTS
084AA
Computer algebra B.
6 ECTS
122AA
Contact geometry
6 ECTS
143AA
Continuous mechanics
6 ECTS
093AA
Convex analysis
6 ECTS
132AA
Coxeter Groups
6 ECTS
098AA
Cyclotomic fields
6 ECTS
222AA
Descriptive complexity theory
6 ECTS
528AA
Didactics of mathematics and new technologies
6 ECTS
055AA
Differential geometry and topology
6 ECTS
155AA
Differential operators and index theorems
6 ECTS
227AA
Differential topology
6 ECTS
171AA
Discrete dynamical systems
6 ECTS
139AA
Discrete mathematics
6 ECTS
074AA
Dynamical systems
6 ECTS
104AA
Dynamics of the Earth-Moon system
6 ECTS
580AA
Dynamics of the solar system
6 ECTS
065AA
Elementary mathematics from an advanced standpoint: arithmetic
6 ECTS
066AA
Elementary mathematics from an advanced standpoint: geometry
6 ECTS
080AA
Elementary number theory
6 ECTS
049AA
Elements of algebraic geometry
6 ECTS
054AA
Elements of algebraic topology
6 ECTS
514AA
Elements of calculus of homogeneous groups
6 ECTS
047AA
Elements of calculus of variations
6 ECTS
051AA
Elements of celestial mechanics
6 ECTS
046AA
Elements of complex analysis
6 ECTS
050AA
Elements of Mathematical Logic
6 ECTS
052AA
Elements of probability and statistics
6 ECTS
053AA
Elements of Set Theory
6 ECTS
704AA
Elliptic curves
6 ECTS
109AA
Elliptic equations
6 ECTS
554AA
Equations of fluid mechanics
6 ECTS
224AA
Ergodic theory
6 ECTS
702AA
Étale cohomology
6 ECTS
168AA
Evolution problems
6 ECTS
078AA
Field and Galois theories
6 ECTS
112AA
Foundations of mathematics
6 ECTS
099AA
Functional Analysis
6 ECTS
172AA
Functional spaces
6 ECTS
211AA
Game theory.
6 ECTS
229AA
General topology
6 ECTS
548AA
Geometric analysis
6 ECTS
225AA
Geometric measure theory
6 ECTS
124AA
Geometry and topology of surfaces
6 ECTS
121AA
Geometry of metric spaces
6 ECTS
057AA
Groups and representations
6 ECTS
212AA
Group theory
6 ECTS
090AA
Harmonic analysis
6 ECTS
087AA
Higher algebra A
6 ECTS
088AA
Higher algebra B
6 ECTS
527AA
Higher analysis
6 ECTS
186AA
History of ancient mathematics and its tradition
6 ECTS
106AA
Holomorphic dynamics
6 ECTS
086AA
Homological algebra
6 ECTS
105AA
Hyperbolic dynamics
6 ECTS
556AA
Hyperbolic equations
6 ECTS
125AA
Hyperbolic geometry
6 ECTS
076AA
Hystory of Mathematics
6 ECTS
609AA
Introduction to geometric measure theory
6 ECTS
133AA
Introduction to p-adic analysis
6 ECTS
018BB
Introduction to quantum mechanics
6 ECTS
214AA
Knot theory
6 ECTS
089AA
Lie algebras and Lie groups
6 ECTS
705AA
Linear algebraic groups
6 ECTS
085AA
Linear and multilinear algebra.
6 ECTS
152AA
Linear and nonlinear waves:
6 ECTS
228AA
Low-dimensional topology and geometry
6 ECTS
547AA
Mathematical analysis 3
6 ECTS
064AA
Mathematical Logic
6 ECTS
147AA
Mathematical methods in Cryptography
6 ECTS
559AA
Mathematical models in biomedicine and mathematical physics
6 ECTS
110AA
Mathematical physics
6 ECTS
075AA
Mathematical statistics
6 ECTS
140AA
Mathematics and music
6 ECTS
141AA
Mathematics and society
6 ECTS
111AA
Math Physics
6 ECTS
219AA
Measure theory
6 ECTS
094AA
Microlocal analysis
6 ECTS
187AA
Minimal Surfaces
6 ECTS
213AA
Model Theory.
6 ECTS
113AA
Modular forms
6 ECTS
698AA
Noncommutative algebra
6 ECTS
095AA
Nonlinear analysis
6 ECTS
552AA
Nonlinear capacity, variational inequalities and applications
6 ECTS
550AA
Non-standard analysis
6 ECTS
150AA
Numerical methods for Fourier analysis.
6 ECTS
149AA
Numerical methods for graphics.
6 ECTS
148AA
Numerical methods for Markov chains.
6 ECTS
067AA
Numerical Methods for Ordinary Differential Equations
6 ECTS
072AA
Operational research
6 ECTS
611AA
Operational research and communication and transport nets.
6 ECTS
216AA
Optimal control theory
6 ECTS
101AA
Orbital determination
6 ECTS
108AA
Ordinary differential equations
6 ECTS
156AA
Origins and development of modern mathematics
6 ECTS
557AA
Parabolic equations
6 ECTS
545AA
Partial differential equations
6 ECTS
553AA
Partial differential equations 2
6 ECTS
015BB
Physics Complements
6 ECTS
242BB
Physics II
9 ECTS
243BB
Physics III
6 ECTS
247BB
Physics lab for teaching
6 ECTS
703AA
Post-quantum cryptography
6 ECTS
070AA
Probability
6 ECTS
612AA
Problems and methods in Mathematics Education Research
6 ECTS
166AA
Problem solving
6 ECTS
218AA
Proof theory
6 ECTS
551AA
Real analysis
6 ECTS
126AA
Real geometry A
6 ECTS
127AA
Real geometry B
6 ECTS
128AA
Real geometry C
6 ECTS
581AA
Relativistic mechanics
6 ECTS
130AA
Riemannian geometry
6 ECTS
578AA
Satellite geodesy
6 ECTS
044AA
Scientific Computing
6 ECTS
215AA
Semigroup theory
6 ECTS
208AA
Set Theory
6 ECTS
144AA
Space mechanics
6 ECTS
114AA
Special functions
6 ECTS
555AA
Stochastic differential equations and applications
6 ECTS
071AA
Stochastic processes
6 ECTS
185AA
Symmetric spaces
6 ECTS
131AA
Symplectic geometry
6 ECTS
201AA
Technologies for education
6 ECTS
577AA
Theory and methods of optimization
6 ECTS
221AA
Theory of functions
6 ECTS
151AA
Topological methods for differential equations
6 ECTS
068AA
Topological methods in the global analysis
6 ECTS
230AA
Ultrafilters and nonstandard methods
6 ECTS
Group ModAppl - Choice of 12 ECTS from:
145AA
Advanced mechanics
6 ECTS
669AA
Advanced Statistics
6 ECTS
146AA
Approximation methods
6 ECTS
142AA
Celestial mechanics
6 ECTS
699AA
Data Analysis
6 ECTS
074AA
Dynamical systems
6 ECTS
580AA
Dynamics of the solar system
6 ECTS
051AA
Elements of celestial mechanics
6 ECTS
211AA
Game theory.
6 ECTS
075AA
Mathematical statistics
6 ECTS
111AA
Math Physics
6 ECTS
149AA
Numerical methods for graphics.
6 ECTS
148AA
Numerical methods for Markov chains.
6 ECTS
067AA
Numerical Methods for Ordinary Differential Equations
6 ECTS
072AA
Operational research
6 ECTS
101AA
Orbital determination
6 ECTS
070AA
Probability
6 ECTS
575AA
Rational mechanics
6 ECTS
578AA
Satellite geodesy
6 ECTS
044AA
Scientific Computing
6 ECTS
144AA
Space mechanics
6 ECTS
577AA
Theory and methods of optimization
6 ECTS
Group ModTeor - Choice of 12 ECTS from:
232AA
3-manifolds
6 ECTS
038AA
Algebra 2
6 ECTS
115AA
Algebraic geometry A
6 ECTS
116AA
Algebraic geometry B
6 ECTS
117AA
Algebraic geometry C
6 ECTS
077AA
Algebraic number theory 1
6 ECTS
226AA
Algebraic topology
6 ECTS
204AA
Analytic number theory A
6 ECTS
210AA
Automated control theory
6 ECTS
096AA
Calculus of variations A
6 ECTS
091AA
Complex analysis A
6 ECTS
123AA
Complex differential geometry
6 ECTS
082AA
Computational commutative algebra and algebraic geometry
6 ECTS
045AA
Computer algebra
6 ECTS
083AA
Computer algebra A
6 ECTS
084AA
Computer algebra B.
6 ECTS
093AA
Convex analysis
6 ECTS
055AA
Differential geometry and topology
6 ECTS
227AA
Differential topology
6 ECTS
080AA
Elementary number theory
6 ECTS
049AA
Elements of algebraic geometry
6 ECTS
054AA
Elements of algebraic topology
6 ECTS
047AA
Elements of calculus of variations
6 ECTS
046AA
Elements of complex analysis
6 ECTS
053AA
Elements of Set Theory
6 ECTS
109AA
Elliptic equations
6 ECTS
554AA
Equations of fluid mechanics
6 ECTS
168AA
Evolution problems
6 ECTS
078AA
Field and Galois theories
6 ECTS
124AA
Geometry and topology of surfaces
6 ECTS
090AA
Harmonic analysis
6 ECTS
087AA
Higher algebra A
6 ECTS
088AA
Higher algebra B
6 ECTS
527AA
Higher analysis
6 ECTS
106AA
Holomorphic dynamics
6 ECTS
556AA
Hyperbolic equations
6 ECTS
125AA
Hyperbolic geometry
6 ECTS
214AA
Knot theory
6 ECTS
228AA
Low-dimensional topology and geometry
6 ECTS
547AA
Mathematical analysis 3
6 ECTS
064AA
Mathematical Logic
6 ECTS
219AA
Measure theory
6 ECTS
213AA
Model Theory.
6 ECTS
095AA
Nonlinear analysis
6 ECTS
545AA
Partial differential equations
6 ECTS
553AA
Partial differential equations 2
6 ECTS
126AA
Real geometry A
6 ECTS
127AA
Real geometry B
6 ECTS
130AA
Riemannian geometry
6 ECTS
208AA
Set Theory
6 ECTS
068AA
Topological methods in the global analysis
6 ECTS
230AA
Ultrafilters and nonstandard methods
6 ECTS
Year 2 (2020/2021)
1227Z
Final proof
27 ECTS
Free choice
6 ECTS
Group IstTeor - Choice of 9 ECTS from:
134AA
Principles of algebra
9 ECTS
138AA
Principles of geometry
9 ECTS
135AA
Principles of mathematical analysis
9 ECTS
Group ModAffInt - Choice of 18 ECTS from:
231AA
2-manifolds
6 ECTS
232AA
3-manifolds
6 ECTS
233AA
4-manifolds
6 ECTS
145AA
Advanced mechanics
6 ECTS
107AA
Advanced numerical linear algebra
6 ECTS
560AA
Advanced probability
6 ECTS
037AA
Algebra 1
6 ECTS
038AA
Algebra 2
6 ECTS
115AA
Algebraic geometry A
6 ECTS
116AA
Algebraic geometry B
6 ECTS
117AA
Algebraic geometry C
6 ECTS
118AA
Algebraic geometry D
6 ECTS
119AA
Algebraic geometry E
6 ECTS
120AA
Algebraic geometry F
6 ECTS
077AA
Algebraic number theory 1
6 ECTS
202AA
Algebraic number theory 2
6 ECTS
706AA
Algebraic number theory 3
6 ECTS
226AA
Algebraic topology
6 ECTS
039AA
Algorithms and data structure
6 ECTS
549AA
Analysis in metric spaces
6 ECTS
204AA
Analytic number theory A
6 ECTS
205AA
Analytic number theory B
6 ECTS
701AA
Applications of Differential Equations in Biomedicine
6 ECTS
700AA
Applications of fluid dynamics in biomedicine
6 ECTS
146AA
Approximation methods
6 ECTS
210AA
Automated control theory
6 ECTS
096AA
Calculus of variations A
6 ECTS
097AA
Calculus of variations B
6 ECTS
220AA
Category theory
6 ECTS
142AA
Celestial mechanics
6 ECTS
209AA
Coding theory
6 ECTS
079AA
Coding theory and cryptography
6 ECTS
610AA
Combinatorial optimization
6 ECTS
582AA
Complements of mathematics education
6 ECTS
091AA
Complex analysis A
6 ECTS
092AA
Complex analysis B
6 ECTS
123AA
Complex differential geometry
6 ECTS
217AA
Computability Theory
6 ECTS
082AA
Computational commutative algebra and algebraic geometry
6 ECTS
129AA
Computational real geometry
6 ECTS
045AA
Computer algebra
6 ECTS
083AA
Computer algebra A
6 ECTS
084AA
Computer algebra B.
6 ECTS
122AA
Contact geometry
6 ECTS
143AA
Continuous mechanics
6 ECTS
093AA
Convex analysis
6 ECTS
132AA
Coxeter Groups
6 ECTS
098AA
Cyclotomic fields
6 ECTS
222AA
Descriptive complexity theory
6 ECTS
528AA
Didactics of mathematics and new technologies
6 ECTS
055AA
Differential geometry and topology
6 ECTS
155AA
Differential operators and index theorems
6 ECTS
227AA
Differential topology
6 ECTS
171AA
Discrete dynamical systems
6 ECTS
139AA
Discrete mathematics
6 ECTS
074AA
Dynamical systems
6 ECTS
104AA
Dynamics of the Earth-Moon system
6 ECTS
580AA
Dynamics of the solar system
6 ECTS
065AA
Elementary mathematics from an advanced standpoint: arithmetic
6 ECTS
066AA
Elementary mathematics from an advanced standpoint: geometry
6 ECTS
080AA
Elementary number theory
6 ECTS
049AA
Elements of algebraic geometry
6 ECTS
054AA
Elements of algebraic topology
6 ECTS
514AA
Elements of calculus of homogeneous groups
6 ECTS
047AA
Elements of calculus of variations
6 ECTS
051AA
Elements of celestial mechanics
6 ECTS
046AA
Elements of complex analysis
6 ECTS
050AA
Elements of Mathematical Logic
6 ECTS
052AA
Elements of probability and statistics
6 ECTS
053AA
Elements of Set Theory
6 ECTS
704AA
Elliptic curves
6 ECTS
109AA
Elliptic equations
6 ECTS
554AA
Equations of fluid mechanics
6 ECTS
224AA
Ergodic theory
6 ECTS
702AA
Étale cohomology
6 ECTS
168AA
Evolution problems
6 ECTS
078AA
Field and Galois theories
6 ECTS
112AA
Foundations of mathematics
6 ECTS
099AA
Functional Analysis
6 ECTS
172AA
Functional spaces
6 ECTS
211AA
Game theory.
6 ECTS
229AA
General topology
6 ECTS
548AA
Geometric analysis
6 ECTS
225AA
Geometric measure theory
6 ECTS
124AA
Geometry and topology of surfaces
6 ECTS
121AA
Geometry of metric spaces
6 ECTS
057AA
Groups and representations
6 ECTS
212AA
Group theory
6 ECTS
090AA
Harmonic analysis
6 ECTS
087AA
Higher algebra A
6 ECTS
088AA
Higher algebra B
6 ECTS
527AA
Higher analysis
6 ECTS
186AA
History of ancient mathematics and its tradition
6 ECTS
106AA
Holomorphic dynamics
6 ECTS
086AA
Homological algebra
6 ECTS
105AA
Hyperbolic dynamics
6 ECTS
556AA
Hyperbolic equations
6 ECTS
125AA
Hyperbolic geometry
6 ECTS
076AA
Hystory of Mathematics
6 ECTS
609AA
Introduction to geometric measure theory
6 ECTS
133AA
Introduction to p-adic analysis
6 ECTS
018BB
Introduction to quantum mechanics
6 ECTS
214AA
Knot theory
6 ECTS
089AA
Lie algebras and Lie groups
6 ECTS
705AA
Linear algebraic groups
6 ECTS
085AA
Linear and multilinear algebra.
6 ECTS
152AA
Linear and nonlinear waves:
6 ECTS
228AA
Low-dimensional topology and geometry
6 ECTS
547AA
Mathematical analysis 3
6 ECTS
064AA
Mathematical Logic
6 ECTS
147AA
Mathematical methods in Cryptography
6 ECTS
559AA
Mathematical models in biomedicine and mathematical physics
6 ECTS
110AA
Mathematical physics
6 ECTS
075AA
Mathematical statistics
6 ECTS
140AA
Mathematics and music
6 ECTS
141AA
Mathematics and society
6 ECTS
111AA
Math Physics
6 ECTS
219AA
Measure theory
6 ECTS
094AA
Microlocal analysis
6 ECTS
187AA
Minimal Surfaces
6 ECTS
213AA
Model Theory.
6 ECTS
113AA
Modular forms
6 ECTS
698AA
Noncommutative algebra
6 ECTS
095AA
Nonlinear analysis
6 ECTS
552AA
Nonlinear capacity, variational inequalities and applications
6 ECTS
550AA
Non-standard analysis
6 ECTS
150AA
Numerical methods for Fourier analysis.
6 ECTS
149AA
Numerical methods for graphics.
6 ECTS
148AA
Numerical methods for Markov chains.
6 ECTS
067AA
Numerical Methods for Ordinary Differential Equations
6 ECTS
072AA
Operational research
6 ECTS
611AA
Operational research and communication and transport nets.
6 ECTS
216AA
Optimal control theory
6 ECTS
101AA
Orbital determination
6 ECTS
108AA
Ordinary differential equations
6 ECTS
156AA
Origins and development of modern mathematics
6 ECTS
557AA
Parabolic equations
6 ECTS
545AA
Partial differential equations
6 ECTS
553AA
Partial differential equations 2
6 ECTS
015BB
Physics Complements
6 ECTS
242BB
Physics II
9 ECTS
243BB
Physics III
6 ECTS
247BB
Physics lab for teaching
6 ECTS
703AA
Post-quantum cryptography
6 ECTS
070AA
Probability
6 ECTS
612AA
Problems and methods in Mathematics Education Research
6 ECTS
166AA
Problem solving
6 ECTS
218AA
Proof theory
6 ECTS
551AA
Real analysis
6 ECTS
126AA
Real geometry A
6 ECTS
127AA
Real geometry B
6 ECTS
128AA
Real geometry C
6 ECTS
581AA
Relativistic mechanics
6 ECTS
130AA
Riemannian geometry
6 ECTS
578AA
Satellite geodesy
6 ECTS
044AA
Scientific Computing
6 ECTS
215AA
Semigroup theory
6 ECTS
208AA
Set Theory
6 ECTS
144AA
Space mechanics
6 ECTS
114AA
Special functions
6 ECTS
555AA
Stochastic differential equations and applications
6 ECTS
071AA
Stochastic processes
6 ECTS
185AA
Symmetric spaces
6 ECTS
131AA
Symplectic geometry
6 ECTS
201AA
Technologies for education
6 ECTS
577AA
Theory and methods of optimization
6 ECTS
221AA
Theory of functions
6 ECTS
151AA
Topological methods for differential equations
6 ECTS
068AA
Topological methods in the global analysis
6 ECTS
230AA
Ultrafilters and nonstandard methods
6 ECTS
Track Didattico
Year 1 (2019/2020)
Free choice
6 ECTS
576AA
Principles of mathematics education
9 ECTS
Group IstTeor - Choice of 9 ECTS from:
134AA
Principles of algebra
9 ECTS
138AA
Principles of geometry
9 ECTS
135AA
Principles of mathematical analysis
9 ECTS
Group ModAffInt - Choice of 12 ECTS from:
231AA
2-manifolds
6 ECTS
232AA
3-manifolds
6 ECTS
233AA
4-manifolds
6 ECTS
145AA
Advanced mechanics
6 ECTS
107AA
Advanced numerical linear algebra
6 ECTS
560AA
Advanced probability
6 ECTS
037AA
Algebra 1
6 ECTS
038AA
Algebra 2
6 ECTS
115AA
Algebraic geometry A
6 ECTS
116AA
Algebraic geometry B
6 ECTS
117AA
Algebraic geometry C
6 ECTS
118AA
Algebraic geometry D
6 ECTS
119AA
Algebraic geometry E
6 ECTS
120AA
Algebraic geometry F
6 ECTS
077AA
Algebraic number theory 1
6 ECTS
202AA
Algebraic number theory 2
6 ECTS
706AA
Algebraic number theory 3
6 ECTS
226AA
Algebraic topology
6 ECTS
039AA
Algorithms and data structure
6 ECTS
549AA
Analysis in metric spaces
6 ECTS
204AA
Analytic number theory A
6 ECTS
205AA
Analytic number theory B
6 ECTS
701AA
Applications of Differential Equations in Biomedicine
6 ECTS
700AA
Applications of fluid dynamics in biomedicine
6 ECTS
146AA
Approximation methods
6 ECTS
210AA
Automated control theory
6 ECTS
096AA
Calculus of variations A
6 ECTS
097AA
Calculus of variations B
6 ECTS
220AA
Category theory
6 ECTS
142AA
Celestial mechanics
6 ECTS
209AA
Coding theory
6 ECTS
079AA
Coding theory and cryptography
6 ECTS
610AA
Combinatorial optimization
6 ECTS
582AA
Complements of mathematics education
6 ECTS
091AA
Complex analysis A
6 ECTS
092AA
Complex analysis B
6 ECTS
123AA
Complex differential geometry
6 ECTS
217AA
Computability Theory
6 ECTS
082AA
Computational commutative algebra and algebraic geometry
6 ECTS
129AA
Computational real geometry
6 ECTS
045AA
Computer algebra
6 ECTS
083AA
Computer algebra A
6 ECTS
084AA
Computer algebra B.
6 ECTS
122AA
Contact geometry
6 ECTS
143AA
Continuous mechanics
6 ECTS
093AA
Convex analysis
6 ECTS
132AA
Coxeter Groups
6 ECTS
098AA
Cyclotomic fields
6 ECTS
222AA
Descriptive complexity theory
6 ECTS
528AA
Didactics of mathematics and new technologies
6 ECTS
055AA
Differential geometry and topology
6 ECTS
155AA
Differential operators and index theorems
6 ECTS
227AA
Differential topology
6 ECTS
171AA
Discrete dynamical systems
6 ECTS
139AA
Discrete mathematics
6 ECTS
074AA
Dynamical systems
6 ECTS
104AA
Dynamics of the Earth-Moon system
6 ECTS
580AA
Dynamics of the solar system
6 ECTS
065AA
Elementary mathematics from an advanced standpoint: arithmetic
6 ECTS
066AA
Elementary mathematics from an advanced standpoint: geometry
6 ECTS
080AA
Elementary number theory
6 ECTS
049AA
Elements of algebraic geometry
6 ECTS
054AA
Elements of algebraic topology
6 ECTS
514AA
Elements of calculus of homogeneous groups
6 ECTS
047AA
Elements of calculus of variations
6 ECTS
051AA
Elements of celestial mechanics
6 ECTS
046AA
Elements of complex analysis
6 ECTS
050AA
Elements of Mathematical Logic
6 ECTS
052AA
Elements of probability and statistics
6 ECTS
053AA
Elements of Set Theory
6 ECTS
704AA
Elliptic curves
6 ECTS
109AA
Elliptic equations
6 ECTS
554AA
Equations of fluid mechanics
6 ECTS
224AA
Ergodic theory
6 ECTS
702AA
Étale cohomology
6 ECTS
168AA
Evolution problems
6 ECTS
078AA
Field and Galois theories
6 ECTS
112AA
Foundations of mathematics
6 ECTS
099AA
Functional Analysis
6 ECTS
172AA
Functional spaces
6 ECTS
211AA
Game theory.
6 ECTS
229AA
General topology
6 ECTS
548AA
Geometric analysis
6 ECTS
225AA
Geometric measure theory
6 ECTS
124AA
Geometry and topology of surfaces
6 ECTS
121AA
Geometry of metric spaces
6 ECTS
057AA
Groups and representations
6 ECTS
212AA
Group theory
6 ECTS
090AA
Harmonic analysis
6 ECTS
087AA
Higher algebra A
6 ECTS
088AA
Higher algebra B
6 ECTS
527AA
Higher analysis
6 ECTS
186AA
History of ancient mathematics and its tradition
6 ECTS
106AA
Holomorphic dynamics
6 ECTS
086AA
Homological algebra
6 ECTS
105AA
Hyperbolic dynamics
6 ECTS
556AA
Hyperbolic equations
6 ECTS
125AA
Hyperbolic geometry
6 ECTS
076AA
Hystory of Mathematics
6 ECTS
609AA
Introduction to geometric measure theory
6 ECTS
133AA
Introduction to p-adic analysis
6 ECTS
018BB
Introduction to quantum mechanics
6 ECTS
214AA
Knot theory
6 ECTS
089AA
Lie algebras and Lie groups
6 ECTS
705AA
Linear algebraic groups
6 ECTS
085AA
Linear and multilinear algebra.
6 ECTS
152AA
Linear and nonlinear waves:
6 ECTS
228AA
Low-dimensional topology and geometry
6 ECTS
547AA
Mathematical analysis 3
6 ECTS
064AA
Mathematical Logic
6 ECTS
147AA
Mathematical methods in Cryptography
6 ECTS
559AA
Mathematical models in biomedicine and mathematical physics
6 ECTS
110AA
Mathematical physics
6 ECTS
075AA
Mathematical statistics
6 ECTS
140AA
Mathematics and music
6 ECTS
141AA
Mathematics and society
6 ECTS
111AA
Math Physics
6 ECTS
219AA
Measure theory
6 ECTS
094AA
Microlocal analysis
6 ECTS
187AA
Minimal Surfaces
6 ECTS
213AA
Model Theory.
6 ECTS
113AA
Modular forms
6 ECTS
698AA
Noncommutative algebra
6 ECTS
095AA
Nonlinear analysis
6 ECTS
552AA
Nonlinear capacity, variational inequalities and applications
6 ECTS
550AA
Non-standard analysis
6 ECTS
150AA
Numerical methods for Fourier analysis.
6 ECTS
149AA
Numerical methods for graphics.
6 ECTS
148AA
Numerical methods for Markov chains.
6 ECTS
067AA
Numerical Methods for Ordinary Differential Equations
6 ECTS
072AA
Operational research
6 ECTS
611AA
Operational research and communication and transport nets.
6 ECTS
216AA
Optimal control theory
6 ECTS
101AA
Orbital determination
6 ECTS
108AA
Ordinary differential equations
6 ECTS
156AA
Origins and development of modern mathematics
6 ECTS
557AA
Parabolic equations
6 ECTS
545AA
Partial differential equations
6 ECTS
553AA
Partial differential equations 2
6 ECTS
015BB
Physics Complements
6 ECTS
242BB
Physics II
9 ECTS
243BB
Physics III
6 ECTS
247BB
Physics lab for teaching
6 ECTS
703AA
Post-quantum cryptography
6 ECTS
070AA
Probability
6 ECTS
612AA
Problems and methods in Mathematics Education Research
6 ECTS
166AA
Problem solving
6 ECTS
218AA
Proof theory
6 ECTS
551AA
Real analysis
6 ECTS
126AA
Real geometry A
6 ECTS
127AA
Real geometry B
6 ECTS
128AA
Real geometry C
6 ECTS
581AA
Relativistic mechanics
6 ECTS
130AA
Riemannian geometry
6 ECTS
578AA
Satellite geodesy
6 ECTS
044AA
Scientific Computing
6 ECTS
215AA
Semigroup theory
6 ECTS
208AA
Set Theory
6 ECTS
144AA
Space mechanics
6 ECTS
114AA
Special functions
6 ECTS
555AA
Stochastic differential equations and applications
6 ECTS
071AA
Stochastic processes
6 ECTS
185AA
Symmetric spaces
6 ECTS
131AA
Symplectic geometry
6 ECTS
201AA
Technologies for education
6 ECTS
577AA
Theory and methods of optimization
6 ECTS
221AA
Theory of functions
6 ECTS
151AA
Topological methods for differential equations
6 ECTS
068AA
Topological methods in the global analysis
6 ECTS
230AA
Ultrafilters and nonstandard methods
6 ECTS
Group ModDidStor - Choice of 12 ECTS from:
582AA
Complements of mathematics education
6 ECTS
528AA
Didactics of mathematics and new technologies
6 ECTS
065AA
Elementary mathematics from an advanced standpoint: arithmetic
6 ECTS
066AA
Elementary mathematics from an advanced standpoint: geometry
6 ECTS
186AA
History of ancient mathematics and its tradition
6 ECTS
076AA
Hystory of Mathematics
6 ECTS
156AA
Origins and development of modern mathematics
6 ECTS
612AA
Problems and methods in Mathematics Education Research
6 ECTS
201AA
Technologies for education
6 ECTS
Group ModTeor - Choice of 12 ECTS from:
232AA
3-manifolds
6 ECTS
038AA
Algebra 2
6 ECTS
115AA
Algebraic geometry A
6 ECTS
116AA
Algebraic geometry B
6 ECTS
117AA
Algebraic geometry C
6 ECTS
077AA
Algebraic number theory 1
6 ECTS
226AA
Algebraic topology
6 ECTS
204AA
Analytic number theory A
6 ECTS
210AA
Automated control theory
6 ECTS
096AA
Calculus of variations A
6 ECTS
091AA
Complex analysis A
6 ECTS
123AA
Complex differential geometry
6 ECTS
082AA
Computational commutative algebra and algebraic geometry
6 ECTS
045AA
Computer algebra
6 ECTS
083AA
Computer algebra A
6 ECTS
084AA
Computer algebra B.
6 ECTS
093AA
Convex analysis
6 ECTS
055AA
Differential geometry and topology
6 ECTS
227AA
Differential topology
6 ECTS
080AA
Elementary number theory
6 ECTS
049AA
Elements of algebraic geometry
6 ECTS
054AA
Elements of algebraic topology
6 ECTS
047AA
Elements of calculus of variations
6 ECTS
046AA
Elements of complex analysis
6 ECTS
053AA
Elements of Set Theory
6 ECTS
109AA
Elliptic equations
6 ECTS
554AA
Equations of fluid mechanics
6 ECTS
168AA
Evolution problems
6 ECTS
078AA
Field and Galois theories
6 ECTS
124AA
Geometry and topology of surfaces
6 ECTS
090AA
Harmonic analysis
6 ECTS
087AA
Higher algebra A
6 ECTS
088AA
Higher algebra B
6 ECTS
527AA
Higher analysis
6 ECTS
106AA
Holomorphic dynamics
6 ECTS
556AA
Hyperbolic equations
6 ECTS
125AA
Hyperbolic geometry
6 ECTS
214AA
Knot theory
6 ECTS
228AA
Low-dimensional topology and geometry
6 ECTS
547AA
Mathematical analysis 3
6 ECTS
064AA
Mathematical Logic
6 ECTS
219AA
Measure theory
6 ECTS
213AA
Model Theory.
6 ECTS
095AA
Nonlinear analysis
6 ECTS
545AA
Partial differential equations
6 ECTS
553AA
Partial differential equations 2
6 ECTS
126AA
Real geometry A
6 ECTS
127AA
Real geometry B
6 ECTS
130AA
Riemannian geometry
6 ECTS
208AA
Set Theory
6 ECTS
068AA
Topological methods in the global analysis
6 ECTS
230AA
Ultrafilters and nonstandard methods
6 ECTS
Year 2 (2020/2021)
1227Z
Final proof
27 ECTS
Free choice
6 ECTS
Group IstAppl - Choice of 9 ECTS from:
137AA
Fundamentals of mathematical physics
9 ECTS
136AA
Principles of numerical analysis
9 ECTS
529AA
Principles of probability
9 ECTS
Group ModAffInt - Choice of 18 ECTS from:
231AA
2-manifolds
6 ECTS
232AA
3-manifolds
6 ECTS
233AA
4-manifolds
6 ECTS
145AA
Advanced mechanics
6 ECTS
107AA
Advanced numerical linear algebra
6 ECTS
560AA
Advanced probability
6 ECTS
037AA
Algebra 1
6 ECTS
038AA
Algebra 2
6 ECTS
115AA
Algebraic geometry A
6 ECTS
116AA
Algebraic geometry B
6 ECTS
117AA
Algebraic geometry C
6 ECTS
118AA
Algebraic geometry D
6 ECTS
119AA
Algebraic geometry E
6 ECTS
120AA
Algebraic geometry F
6 ECTS
077AA
Algebraic number theory 1
6 ECTS
202AA
Algebraic number theory 2
6 ECTS
706AA
Algebraic number theory 3
6 ECTS
226AA
Algebraic topology
6 ECTS
039AA
Algorithms and data structure
6 ECTS
549AA
Analysis in metric spaces
6 ECTS
204AA
Analytic number theory A
6 ECTS
205AA
Analytic number theory B
6 ECTS
701AA
Applications of Differential Equations in Biomedicine
6 ECTS
700AA
Applications of fluid dynamics in biomedicine
6 ECTS
146AA
Approximation methods
6 ECTS
210AA
Automated control theory
6 ECTS
096AA
Calculus of variations A
6 ECTS
097AA
Calculus of variations B
6 ECTS
220AA
Category theory
6 ECTS
142AA
Celestial mechanics
6 ECTS
209AA
Coding theory
6 ECTS
079AA
Coding theory and cryptography
6 ECTS
610AA
Combinatorial optimization
6 ECTS
582AA
Complements of mathematics education
6 ECTS
091AA
Complex analysis A
6 ECTS
092AA
Complex analysis B
6 ECTS
123AA
Complex differential geometry
6 ECTS
217AA
Computability Theory
6 ECTS
082AA
Computational commutative algebra and algebraic geometry
6 ECTS
129AA
Computational real geometry
6 ECTS
045AA
Computer algebra
6 ECTS
083AA
Computer algebra A
6 ECTS
084AA
Computer algebra B.
6 ECTS
122AA
Contact geometry
6 ECTS
143AA
Continuous mechanics
6 ECTS
093AA
Convex analysis
6 ECTS
132AA
Coxeter Groups
6 ECTS
098AA
Cyclotomic fields
6 ECTS
222AA
Descriptive complexity theory
6 ECTS
528AA
Didactics of mathematics and new technologies
6 ECTS
055AA
Differential geometry and topology
6 ECTS
155AA
Differential operators and index theorems
6 ECTS
227AA
Differential topology
6 ECTS
171AA
Discrete dynamical systems
6 ECTS
139AA
Discrete mathematics
6 ECTS
074AA
Dynamical systems
6 ECTS
104AA
Dynamics of the Earth-Moon system
6 ECTS
580AA
Dynamics of the solar system
6 ECTS
065AA
Elementary mathematics from an advanced standpoint: arithmetic
6 ECTS
066AA
Elementary mathematics from an advanced standpoint: geometry
6 ECTS
080AA
Elementary number theory
6 ECTS
049AA
Elements of algebraic geometry
6 ECTS
054AA
Elements of algebraic topology
6 ECTS
514AA
Elements of calculus of homogeneous groups
6 ECTS
047AA
Elements of calculus of variations
6 ECTS
051AA
Elements of celestial mechanics
6 ECTS
046AA
Elements of complex analysis
6 ECTS
050AA
Elements of Mathematical Logic
6 ECTS
052AA
Elements of probability and statistics
6 ECTS
053AA
Elements of Set Theory
6 ECTS
704AA
Elliptic curves
6 ECTS
109AA
Elliptic equations
6 ECTS
554AA
Equations of fluid mechanics
6 ECTS
224AA
Ergodic theory
6 ECTS
702AA
Étale cohomology
6 ECTS
168AA
Evolution problems
6 ECTS
078AA
Field and Galois theories
6 ECTS
112AA
Foundations of mathematics
6 ECTS
099AA
Functional Analysis
6 ECTS
172AA
Functional spaces
6 ECTS
211AA
Game theory.
6 ECTS
229AA
General topology
6 ECTS
548AA
Geometric analysis
6 ECTS
225AA
Geometric measure theory
6 ECTS
124AA
Geometry and topology of surfaces
6 ECTS
121AA
Geometry of metric spaces
6 ECTS
057AA
Groups and representations
6 ECTS
212AA
Group theory
6 ECTS
090AA
Harmonic analysis
6 ECTS
087AA
Higher algebra A
6 ECTS
088AA
Higher algebra B
6 ECTS
527AA
Higher analysis
6 ECTS
186AA
History of ancient mathematics and its tradition
6 ECTS
106AA
Holomorphic dynamics
6 ECTS
086AA
Homological algebra
6 ECTS
105AA
Hyperbolic dynamics
6 ECTS
556AA
Hyperbolic equations
6 ECTS
125AA
Hyperbolic geometry
6 ECTS
076AA
Hystory of Mathematics
6 ECTS
609AA
Introduction to geometric measure theory
6 ECTS
133AA
Introduction to p-adic analysis
6 ECTS
018BB
Introduction to quantum mechanics
6 ECTS
214AA
Knot theory
6 ECTS
089AA
Lie algebras and Lie groups
6 ECTS
705AA
Linear algebraic groups
6 ECTS
085AA
Linear and multilinear algebra.
6 ECTS
152AA
Linear and nonlinear waves:
6 ECTS
228AA
Low-dimensional topology and geometry
6 ECTS
547AA
Mathematical analysis 3
6 ECTS
064AA
Mathematical Logic
6 ECTS
147AA
Mathematical methods in Cryptography
6 ECTS
559AA
Mathematical models in biomedicine and mathematical physics
6 ECTS
110AA
Mathematical physics
6 ECTS
075AA
Mathematical statistics
6 ECTS
140AA
Mathematics and music
6 ECTS
141AA
Mathematics and society
6 ECTS
111AA
Math Physics
6 ECTS
219AA
Measure theory
6 ECTS
094AA
Microlocal analysis
6 ECTS
187AA
Minimal Surfaces
6 ECTS
213AA
Model Theory.
6 ECTS
113AA
Modular forms
6 ECTS
698AA
Noncommutative algebra
6 ECTS
095AA
Nonlinear analysis
6 ECTS
552AA
Nonlinear capacity, variational inequalities and applications
6 ECTS
550AA
Non-standard analysis
6 ECTS
150AA
Numerical methods for Fourier analysis.
6 ECTS
149AA
Numerical methods for graphics.
6 ECTS
148AA
Numerical methods for Markov chains.
6 ECTS
067AA
Numerical Methods for Ordinary Differential Equations
6 ECTS
072AA
Operational research
6 ECTS
611AA
Operational research and communication and transport nets.
6 ECTS
216AA
Optimal control theory
6 ECTS
101AA
Orbital determination
6 ECTS
108AA
Ordinary differential equations
6 ECTS
156AA
Origins and development of modern mathematics
6 ECTS
557AA
Parabolic equations
6 ECTS
545AA
Partial differential equations
6 ECTS
553AA
Partial differential equations 2
6 ECTS
015BB
Physics Complements
6 ECTS
242BB
Physics II
9 ECTS
243BB
Physics III
6 ECTS
247BB
Physics lab for teaching
6 ECTS
703AA
Post-quantum cryptography
6 ECTS
070AA
Probability
6 ECTS
612AA
Problems and methods in Mathematics Education Research
6 ECTS
166AA
Problem solving
6 ECTS
218AA
Proof theory
6 ECTS
551AA
Real analysis
6 ECTS
126AA
Real geometry A
6 ECTS
127AA
Real geometry B
6 ECTS
128AA
Real geometry C
6 ECTS
581AA
Relativistic mechanics
6 ECTS
130AA
Riemannian geometry
6 ECTS
578AA
Satellite geodesy
6 ECTS
044AA
Scientific Computing
6 ECTS
215AA
Semigroup theory
6 ECTS
208AA
Set Theory
6 ECTS
144AA
Space mechanics
6 ECTS
114AA
Special functions
6 ECTS
555AA
Stochastic differential equations and applications
6 ECTS
071AA
Stochastic processes
6 ECTS
185AA
Symmetric spaces
6 ECTS
131AA
Symplectic geometry
6 ECTS
201AA
Technologies for education
6 ECTS
577AA
Theory and methods of optimization
6 ECTS
221AA
Theory of functions
6 ECTS
151AA
Topological methods for differential equations
6 ECTS
068AA
Topological methods in the global analysis
6 ECTS
230AA
Ultrafilters and nonstandard methods
6 ECTS
Track Generale
Year 1 (2019/2020)
Free choice
6 ECTS
Group IstAppl - Choice of 9 ECTS from:
137AA
Fundamentals of mathematical physics
9 ECTS
136AA
Principles of numerical analysis
9 ECTS
529AA
Principles of probability
9 ECTS
Group IstTeor - Choice of 9 ECTS from:
134AA
Principles of algebra
9 ECTS
138AA
Principles of geometry
9 ECTS
135AA
Principles of mathematical analysis
9 ECTS
Group ModAffInt - Choice of 12 ECTS from:
231AA
2-manifolds
6 ECTS
232AA
3-manifolds
6 ECTS
233AA
4-manifolds
6 ECTS
145AA
Advanced mechanics
6 ECTS
107AA
Advanced numerical linear algebra
6 ECTS
560AA
Advanced probability
6 ECTS
037AA
Algebra 1
6 ECTS
038AA
Algebra 2
6 ECTS
115AA
Algebraic geometry A
6 ECTS
116AA
Algebraic geometry B
6 ECTS
117AA
Algebraic geometry C
6 ECTS
118AA
Algebraic geometry D
6 ECTS
119AA
Algebraic geometry E
6 ECTS
120AA
Algebraic geometry F
6 ECTS
077AA
Algebraic number theory 1
6 ECTS
202AA
Algebraic number theory 2
6 ECTS
706AA
Algebraic number theory 3
6 ECTS
226AA
Algebraic topology
6 ECTS
039AA
Algorithms and data structure
6 ECTS
549AA
Analysis in metric spaces
6 ECTS
204AA
Analytic number theory A
6 ECTS
205AA
Analytic number theory B
6 ECTS
701AA
Applications of Differential Equations in Biomedicine
6 ECTS
700AA
Applications of fluid dynamics in biomedicine
6 ECTS
146AA
Approximation methods
6 ECTS
210AA
Automated control theory
6 ECTS
096AA
Calculus of variations A
6 ECTS
097AA
Calculus of variations B
6 ECTS
220AA
Category theory
6 ECTS
142AA
Celestial mechanics
6 ECTS
209AA
Coding theory
6 ECTS
079AA
Coding theory and cryptography
6 ECTS
610AA
Combinatorial optimization
6 ECTS
582AA
Complements of mathematics education
6 ECTS
091AA
Complex analysis A
6 ECTS
092AA
Complex analysis B
6 ECTS
123AA
Complex differential geometry
6 ECTS
217AA
Computability Theory
6 ECTS
082AA
Computational commutative algebra and algebraic geometry
6 ECTS
129AA
Computational real geometry
6 ECTS
045AA
Computer algebra
6 ECTS
083AA
Computer algebra A
6 ECTS
084AA
Computer algebra B.
6 ECTS
122AA
Contact geometry
6 ECTS
143AA
Continuous mechanics
6 ECTS
093AA
Convex analysis
6 ECTS
132AA
Coxeter Groups
6 ECTS
098AA
Cyclotomic fields
6 ECTS
222AA
Descriptive complexity theory
6 ECTS
528AA
Didactics of mathematics and new technologies
6 ECTS
055AA
Differential geometry and topology
6 ECTS
155AA
Differential operators and index theorems
6 ECTS
227AA
Differential topology
6 ECTS
171AA
Discrete dynamical systems
6 ECTS
139AA
Discrete mathematics
6 ECTS
074AA
Dynamical systems
6 ECTS
104AA
Dynamics of the Earth-Moon system
6 ECTS
580AA
Dynamics of the solar system
6 ECTS
065AA
Elementary mathematics from an advanced standpoint: arithmetic
6 ECTS
066AA
Elementary mathematics from an advanced standpoint: geometry
6 ECTS
080AA
Elementary number theory
6 ECTS
049AA
Elements of algebraic geometry
6 ECTS
054AA
Elements of algebraic topology
6 ECTS
514AA
Elements of calculus of homogeneous groups
6 ECTS
047AA
Elements of calculus of variations
6 ECTS
051AA
Elements of celestial mechanics
6 ECTS
046AA
Elements of complex analysis
6 ECTS
050AA
Elements of Mathematical Logic
6 ECTS
052AA
Elements of probability and statistics
6 ECTS
053AA
Elements of Set Theory
6 ECTS
704AA
Elliptic curves
6 ECTS
109AA
Elliptic equations
6 ECTS
554AA
Equations of fluid mechanics
6 ECTS
224AA
Ergodic theory
6 ECTS
702AA
Étale cohomology
6 ECTS
168AA
Evolution problems
6 ECTS
078AA
Field and Galois theories
6 ECTS
112AA
Foundations of mathematics
6 ECTS
099AA
Functional Analysis
6 ECTS
172AA
Functional spaces
6 ECTS
211AA
Game theory.
6 ECTS
229AA
General topology
6 ECTS
548AA
Geometric analysis
6 ECTS
225AA
Geometric measure theory
6 ECTS
124AA
Geometry and topology of surfaces
6 ECTS
121AA
Geometry of metric spaces
6 ECTS
057AA
Groups and representations
6 ECTS
212AA
Group theory
6 ECTS
090AA
Harmonic analysis
6 ECTS
087AA
Higher algebra A
6 ECTS
088AA
Higher algebra B
6 ECTS
527AA
Higher analysis
6 ECTS
186AA
History of ancient mathematics and its tradition
6 ECTS
106AA
Holomorphic dynamics
6 ECTS
086AA
Homological algebra
6 ECTS
105AA
Hyperbolic dynamics
6 ECTS
556AA
Hyperbolic equations
6 ECTS
125AA
Hyperbolic geometry
6 ECTS
076AA
Hystory of Mathematics
6 ECTS
609AA
Introduction to geometric measure theory
6 ECTS
133AA
Introduction to p-adic analysis
6 ECTS
018BB
Introduction to quantum mechanics
6 ECTS
214AA
Knot theory
6 ECTS
089AA
Lie algebras and Lie groups
6 ECTS
705AA
Linear algebraic groups
6 ECTS
085AA
Linear and multilinear algebra.
6 ECTS
152AA
Linear and nonlinear waves:
6 ECTS
228AA
Low-dimensional topology and geometry
6 ECTS
547AA
Mathematical analysis 3
6 ECTS
064AA
Mathematical Logic
6 ECTS
147AA
Mathematical methods in Cryptography
6 ECTS
559AA
Mathematical models in biomedicine and mathematical physics
6 ECTS
110AA
Mathematical physics
6 ECTS
075AA
Mathematical statistics
6 ECTS
140AA
Mathematics and music
6 ECTS
141AA
Mathematics and society
6 ECTS
111AA
Math Physics
6 ECTS
219AA
Measure theory
6 ECTS
094AA
Microlocal analysis
6 ECTS
187AA
Minimal Surfaces
6 ECTS
213AA
Model Theory.
6 ECTS
113AA
Modular forms
6 ECTS
698AA
Noncommutative algebra
6 ECTS
095AA
Nonlinear analysis
6 ECTS
552AA
Nonlinear capacity, variational inequalities and applications
6 ECTS
550AA
Non-standard analysis
6 ECTS
150AA
Numerical methods for Fourier analysis.
6 ECTS
149AA
Numerical methods for graphics.
6 ECTS
148AA
Numerical methods for Markov chains.
6 ECTS
067AA
Numerical Methods for Ordinary Differential Equations
6 ECTS
072AA
Operational research
6 ECTS
611AA
Operational research and communication and transport nets.
6 ECTS
216AA
Optimal control theory
6 ECTS
101AA
Orbital determination
6 ECTS
108AA
Ordinary differential equations
6 ECTS
156AA
Origins and development of modern mathematics
6 ECTS
557AA
Parabolic equations
6 ECTS
545AA
Partial differential equations
6 ECTS
553AA
Partial differential equations 2
6 ECTS
015BB
Physics Complements
6 ECTS
242BB
Physics II
9 ECTS
243BB
Physics III
6 ECTS
247BB
Physics lab for teaching
6 ECTS
703AA
Post-quantum cryptography
6 ECTS
070AA
Probability
6 ECTS
612AA
Problems and methods in Mathematics Education Research
6 ECTS
166AA
Problem solving
6 ECTS
218AA
Proof theory
6 ECTS
551AA
Real analysis
6 ECTS
126AA
Real geometry A
6 ECTS
127AA
Real geometry B
6 ECTS
128AA
Real geometry C
6 ECTS
581AA
Relativistic mechanics
6 ECTS
130AA
Riemannian geometry
6 ECTS
578AA
Satellite geodesy
6 ECTS
044AA
Scientific Computing
6 ECTS
215AA
Semigroup theory
6 ECTS
208AA
Set Theory
6 ECTS
144AA
Space mechanics
6 ECTS
114AA
Special functions
6 ECTS
555AA
Stochastic differential equations and applications
6 ECTS
071AA
Stochastic processes
6 ECTS
185AA
Symmetric spaces
6 ECTS
131AA
Symplectic geometry
6 ECTS
201AA
Technologies for education
6 ECTS
577AA
Theory and methods of optimization
6 ECTS
221AA
Theory of functions
6 ECTS
151AA
Topological methods for differential equations
6 ECTS
068AA
Topological methods in the global analysis
6 ECTS
230AA
Ultrafilters and nonstandard methods
6 ECTS
Group ModTeor - Choice of 24 ECTS from:
232AA
3-manifolds
6 ECTS
038AA
Algebra 2
6 ECTS
115AA
Algebraic geometry A
6 ECTS
116AA
Algebraic geometry B
6 ECTS
117AA
Algebraic geometry C
6 ECTS
077AA
Algebraic number theory 1
6 ECTS
226AA
Algebraic topology
6 ECTS
204AA
Analytic number theory A
6 ECTS
210AA
Automated control theory
6 ECTS
096AA
Calculus of variations A
6 ECTS
091AA
Complex analysis A
6 ECTS
123AA
Complex differential geometry
6 ECTS
082AA
Computational commutative algebra and algebraic geometry
6 ECTS
045AA
Computer algebra
6 ECTS
083AA
Computer algebra A
6 ECTS
084AA
Computer algebra B.
6 ECTS
093AA
Convex analysis
6 ECTS
055AA
Differential geometry and topology
6 ECTS
227AA
Differential topology
6 ECTS
080AA
Elementary number theory
6 ECTS
049AA
Elements of algebraic geometry
6 ECTS
054AA
Elements of algebraic topology
6 ECTS
047AA
Elements of calculus of variations
6 ECTS
046AA
Elements of complex analysis
6 ECTS
053AA
Elements of Set Theory
6 ECTS
109AA
Elliptic equations
6 ECTS
554AA
Equations of fluid mechanics
6 ECTS
168AA
Evolution problems
6 ECTS
078AA
Field and Galois theories
6 ECTS
124AA
Geometry and topology of surfaces
6 ECTS
090AA
Harmonic analysis
6 ECTS
087AA
Higher algebra A
6 ECTS
088AA
Higher algebra B
6 ECTS
527AA
Higher analysis
6 ECTS
106AA
Holomorphic dynamics
6 ECTS
556AA
Hyperbolic equations
6 ECTS
125AA
Hyperbolic geometry
6 ECTS
214AA
Knot theory
6 ECTS
228AA
Low-dimensional topology and geometry
6 ECTS
547AA
Mathematical analysis 3
6 ECTS
064AA
Mathematical Logic
6 ECTS
219AA
Measure theory
6 ECTS
213AA
Model Theory.
6 ECTS
095AA
Nonlinear analysis
6 ECTS
545AA
Partial differential equations
6 ECTS
553AA
Partial differential equations 2
6 ECTS
126AA
Real geometry A
6 ECTS
127AA
Real geometry B
6 ECTS
130AA
Riemannian geometry
6 ECTS
208AA
Set Theory
6 ECTS
068AA
Topological methods in the global analysis
6 ECTS
230AA
Ultrafilters and nonstandard methods
6 ECTS
Year 2 (2020/2021)
1227Z
Final proof
27 ECTS
Free choice
6 ECTS
Group IstTeor - Choice of 9 ECTS from:
134AA
Principles of algebra
9 ECTS
138AA
Principles of geometry
9 ECTS
135AA
Principles of mathematical analysis
9 ECTS
Group ModAffInt - Choice of 18 ECTS from:
231AA
2-manifolds
6 ECTS
232AA
3-manifolds
6 ECTS
233AA
4-manifolds
6 ECTS
145AA
Advanced mechanics
6 ECTS
107AA
Advanced numerical linear algebra
6 ECTS
560AA
Advanced probability
6 ECTS
037AA
Algebra 1
6 ECTS
038AA
Algebra 2
6 ECTS
115AA
Algebraic geometry A
6 ECTS
116AA
Algebraic geometry B
6 ECTS
117AA
Algebraic geometry C
6 ECTS
118AA
Algebraic geometry D
6 ECTS
119AA
Algebraic geometry E
6 ECTS
120AA
Algebraic geometry F
6 ECTS
077AA
Algebraic number theory 1
6 ECTS
202AA
Algebraic number theory 2
6 ECTS
706AA
Algebraic number theory 3
6 ECTS
226AA
Algebraic topology
6 ECTS
039AA
Algorithms and data structure
6 ECTS
549AA
Analysis in metric spaces
6 ECTS
204AA
Analytic number theory A
6 ECTS
205AA
Analytic number theory B
6 ECTS
701AA
Applications of Differential Equations in Biomedicine
6 ECTS
700AA
Applications of fluid dynamics in biomedicine
6 ECTS
146AA
Approximation methods
6 ECTS
210AA
Automated control theory
6 ECTS
096AA
Calculus of variations A
6 ECTS
097AA
Calculus of variations B
6 ECTS
220AA
Category theory
6 ECTS
142AA
Celestial mechanics
6 ECTS
209AA
Coding theory
6 ECTS
079AA
Coding theory and cryptography
6 ECTS
610AA
Combinatorial optimization
6 ECTS
582AA
Complements of mathematics education
6 ECTS
091AA
Complex analysis A
6 ECTS
092AA
Complex analysis B
6 ECTS
123AA
Complex differential geometry
6 ECTS
217AA
Computability Theory
6 ECTS
082AA
Computational commutative algebra and algebraic geometry
6 ECTS
129AA
Computational real geometry
6 ECTS
045AA
Computer algebra
6 ECTS
083AA
Computer algebra A
6 ECTS
084AA
Computer algebra B.
6 ECTS
122AA
Contact geometry
6 ECTS
143AA
Continuous mechanics
6 ECTS
093AA
Convex analysis
6 ECTS
132AA
Coxeter Groups
6 ECTS
098AA
Cyclotomic fields
6 ECTS
222AA
Descriptive complexity theory
6 ECTS
528AA
Didactics of mathematics and new technologies
6 ECTS
055AA
Differential geometry and topology
6 ECTS
155AA
Differential operators and index theorems
6 ECTS
227AA
Differential topology
6 ECTS
171AA
Discrete dynamical systems
6 ECTS
139AA
Discrete mathematics
6 ECTS
074AA
Dynamical systems
6 ECTS
104AA
Dynamics of the Earth-Moon system
6 ECTS
580AA
Dynamics of the solar system
6 ECTS
065AA
Elementary mathematics from an advanced standpoint: arithmetic
6 ECTS
066AA
Elementary mathematics from an advanced standpoint: geometry
6 ECTS
080AA
Elementary number theory
6 ECTS
049AA
Elements of algebraic geometry
6 ECTS
054AA
Elements of algebraic topology
6 ECTS
514AA
Elements of calculus of homogeneous groups
6 ECTS
047AA
Elements of calculus of variations
6 ECTS
051AA
Elements of celestial mechanics
6 ECTS
046AA
Elements of complex analysis
6 ECTS
050AA
Elements of Mathematical Logic
6 ECTS
052AA
Elements of probability and statistics
6 ECTS
053AA
Elements of Set Theory
6 ECTS
704AA
Elliptic curves
6 ECTS
109AA
Elliptic equations
6 ECTS
554AA
Equations of fluid mechanics
6 ECTS
224AA
Ergodic theory
6 ECTS
702AA
Étale cohomology
6 ECTS
168AA
Evolution problems
6 ECTS
078AA
Field and Galois theories
6 ECTS
112AA
Foundations of mathematics
6 ECTS
099AA
Functional Analysis
6 ECTS
172AA
Functional spaces
6 ECTS
211AA
Game theory.
6 ECTS
229AA
General topology
6 ECTS
548AA
Geometric analysis
6 ECTS
225AA
Geometric measure theory
6 ECTS
124AA
Geometry and topology of surfaces
6 ECTS
121AA
Geometry of metric spaces
6 ECTS
057AA
Groups and representations
6 ECTS
212AA
Group theory
6 ECTS
090AA
Harmonic analysis
6 ECTS
087AA
Higher algebra A
6 ECTS
088AA
Higher algebra B
6 ECTS
527AA
Higher analysis
6 ECTS
186AA
History of ancient mathematics and its tradition
6 ECTS
106AA
Holomorphic dynamics
6 ECTS
086AA
Homological algebra
6 ECTS
105AA
Hyperbolic dynamics
6 ECTS
556AA
Hyperbolic equations
6 ECTS
125AA
Hyperbolic geometry
6 ECTS
076AA
Hystory of Mathematics
6 ECTS
609AA
Introduction to geometric measure theory
6 ECTS
133AA
Introduction to p-adic analysis
6 ECTS
018BB
Introduction to quantum mechanics
6 ECTS
214AA
Knot theory
6 ECTS
089AA
Lie algebras and Lie groups
6 ECTS
705AA
Linear algebraic groups
6 ECTS
085AA
Linear and multilinear algebra.
6 ECTS
152AA
Linear and nonlinear waves:
6 ECTS
228AA
Low-dimensional topology and geometry
6 ECTS
547AA
Mathematical analysis 3
6 ECTS
064AA
Mathematical Logic
6 ECTS
147AA
Mathematical methods in Cryptography
6 ECTS
559AA
Mathematical models in biomedicine and mathematical physics
6 ECTS
110AA
Mathematical physics
6 ECTS
075AA
Mathematical statistics
6 ECTS
140AA
Mathematics and music
6 ECTS
141AA
Mathematics and society
6 ECTS
111AA
Math Physics
6 ECTS
219AA
Measure theory
6 ECTS
094AA
Microlocal analysis
6 ECTS
187AA
Minimal Surfaces
6 ECTS
213AA
Model Theory.
6 ECTS
113AA
Modular forms
6 ECTS
698AA
Noncommutative algebra
6 ECTS
095AA
Nonlinear analysis
6 ECTS
552AA
Nonlinear capacity, variational inequalities and applications
6 ECTS
550AA
Non-standard analysis
6 ECTS
150AA
Numerical methods for Fourier analysis.
6 ECTS
149AA
Numerical methods for graphics.
6 ECTS
148AA
Numerical methods for Markov chains.
6 ECTS
067AA
Numerical Methods for Ordinary Differential Equations
6 ECTS
072AA
Operational research
6 ECTS
611AA
Operational research and communication and transport nets.
6 ECTS
216AA
Optimal control theory
6 ECTS
101AA
Orbital determination
6 ECTS
108AA
Ordinary differential equations
6 ECTS
156AA
Origins and development of modern mathematics
6 ECTS
557AA
Parabolic equations
6 ECTS
545AA
Partial differential equations
6 ECTS
553AA
Partial differential equations 2
6 ECTS
015BB
Physics Complements
6 ECTS
242BB
Physics II
9 ECTS
243BB
Physics III
6 ECTS
247BB
Physics lab for teaching
6 ECTS
703AA
Post-quantum cryptography
6 ECTS
070AA
Probability
6 ECTS
612AA
Problems and methods in Mathematics Education Research
6 ECTS
166AA
Problem solving
6 ECTS
218AA
Proof theory
6 ECTS
551AA
Real analysis
6 ECTS
126AA
Real geometry A
6 ECTS
127AA
Real geometry B
6 ECTS
128AA
Real geometry C
6 ECTS
581AA
Relativistic mechanics
6 ECTS
130AA
Riemannian geometry
6 ECTS
578AA
Satellite geodesy
6 ECTS
044AA
Scientific Computing
6 ECTS
215AA
Semigroup theory
6 ECTS
208AA
Set Theory
6 ECTS
144AA
Space mechanics
6 ECTS
114AA
Special functions
6 ECTS
555AA
Stochastic differential equations and applications
6 ECTS
071AA
Stochastic processes
6 ECTS
185AA
Symmetric spaces
6 ECTS
131AA
Symplectic geometry
6 ECTS
201AA
Technologies for education
6 ECTS
577AA
Theory and methods of optimization
6 ECTS
221AA
Theory of functions
6 ECTS
151AA
Topological methods for differential equations
6 ECTS
068AA
Topological methods in the global analysis
6 ECTS
230AA
Ultrafilters and nonstandard methods
6 ECTS
Track Modellistico
Year 1 (2019/2020)
Free choice
6 ECTS
135AA
Principles of mathematical analysis
9 ECTS
529AA
Principles of probability
9 ECTS
Group ModAffInt - Choice of 12 ECTS from:
231AA
2-manifolds
6 ECTS
232AA
3-manifolds
6 ECTS
233AA
4-manifolds
6 ECTS
145AA
Advanced mechanics
6 ECTS
107AA
Advanced numerical linear algebra
6 ECTS
560AA
Advanced probability
6 ECTS
037AA
Algebra 1
6 ECTS
038AA
Algebra 2
6 ECTS
115AA
Algebraic geometry A
6 ECTS
116AA
Algebraic geometry B
6 ECTS
117AA
Algebraic geometry C
6 ECTS
118AA
Algebraic geometry D
6 ECTS
119AA
Algebraic geometry E
6 ECTS
120AA
Algebraic geometry F
6 ECTS
077AA
Algebraic number theory 1
6 ECTS
202AA
Algebraic number theory 2
6 ECTS
706AA
Algebraic number theory 3
6 ECTS
226AA
Algebraic topology
6 ECTS
039AA
Algorithms and data structure
6 ECTS
549AA
Analysis in metric spaces
6 ECTS
204AA
Analytic number theory A
6 ECTS
205AA
Analytic number theory B
6 ECTS
701AA
Applications of Differential Equations in Biomedicine
6 ECTS
700AA
Applications of fluid dynamics in biomedicine
6 ECTS
146AA
Approximation methods
6 ECTS
210AA
Automated control theory
6 ECTS
096AA
Calculus of variations A
6 ECTS
097AA
Calculus of variations B
6 ECTS
220AA
Category theory
6 ECTS
142AA
Celestial mechanics
6 ECTS
209AA
Coding theory
6 ECTS
079AA
Coding theory and cryptography
6 ECTS
610AA
Combinatorial optimization
6 ECTS
582AA
Complements of mathematics education
6 ECTS
091AA
Complex analysis A
6 ECTS
092AA
Complex analysis B
6 ECTS
123AA
Complex differential geometry
6 ECTS
217AA
Computability Theory
6 ECTS
082AA
Computational commutative algebra and algebraic geometry
6 ECTS
129AA
Computational real geometry
6 ECTS
045AA
Computer algebra
6 ECTS
083AA
Computer algebra A
6 ECTS
084AA
Computer algebra B.
6 ECTS
122AA
Contact geometry
6 ECTS
143AA
Continuous mechanics
6 ECTS
093AA
Convex analysis
6 ECTS
132AA
Coxeter Groups
6 ECTS
098AA
Cyclotomic fields
6 ECTS
222AA
Descriptive complexity theory
6 ECTS
528AA
Didactics of mathematics and new technologies
6 ECTS
055AA
Differential geometry and topology
6 ECTS
155AA
Differential operators and index theorems
6 ECTS
227AA
Differential topology
6 ECTS
171AA
Discrete dynamical systems
6 ECTS
139AA
Discrete mathematics
6 ECTS
074AA
Dynamical systems
6 ECTS
104AA
Dynamics of the Earth-Moon system
6 ECTS
580AA
Dynamics of the solar system
6 ECTS
065AA
Elementary mathematics from an advanced standpoint: arithmetic
6 ECTS
066AA
Elementary mathematics from an advanced standpoint: geometry
6 ECTS
080AA
Elementary number theory
6 ECTS
049AA
Elements of algebraic geometry
6 ECTS
054AA
Elements of algebraic topology
6 ECTS
514AA
Elements of calculus of homogeneous groups
6 ECTS
047AA
Elements of calculus of variations
6 ECTS
051AA
Elements of celestial mechanics
6 ECTS
046AA
Elements of complex analysis
6 ECTS
050AA
Elements of Mathematical Logic
6 ECTS
052AA
Elements of probability and statistics
6 ECTS
053AA
Elements of Set Theory
6 ECTS
704AA
Elliptic curves
6 ECTS
109AA
Elliptic equations
6 ECTS
554AA
Equations of fluid mechanics
6 ECTS
224AA
Ergodic theory
6 ECTS
702AA
Étale cohomology
6 ECTS
168AA
Evolution problems
6 ECTS
078AA
Field and Galois theories
6 ECTS
112AA
Foundations of mathematics
6 ECTS
099AA
Functional Analysis
6 ECTS
172AA
Functional spaces
6 ECTS
211AA
Game theory.
6 ECTS
229AA
General topology
6 ECTS
548AA
Geometric analysis
6 ECTS
225AA
Geometric measure theory
6 ECTS
124AA
Geometry and topology of surfaces
6 ECTS
121AA
Geometry of metric spaces
6 ECTS
057AA
Groups and representations
6 ECTS
212AA
Group theory
6 ECTS
090AA
Harmonic analysis
6 ECTS
087AA
Higher algebra A
6 ECTS
088AA
Higher algebra B
6 ECTS
527AA
Higher analysis
6 ECTS
186AA
History of ancient mathematics and its tradition
6 ECTS
106AA
Holomorphic dynamics
6 ECTS
086AA
Homological algebra
6 ECTS
105AA
Hyperbolic dynamics
6 ECTS
556AA
Hyperbolic equations
6 ECTS
125AA
Hyperbolic geometry
6 ECTS
076AA
Hystory of Mathematics
6 ECTS
609AA
Introduction to geometric measure theory
6 ECTS
133AA
Introduction to p-adic analysis
6 ECTS
018BB
Introduction to quantum mechanics
6 ECTS
214AA
Knot theory
6 ECTS
089AA
Lie algebras and Lie groups
6 ECTS
705AA
Linear algebraic groups
6 ECTS
085AA
Linear and multilinear algebra.
6 ECTS
152AA
Linear and nonlinear waves:
6 ECTS
228AA
Low-dimensional topology and geometry
6 ECTS
547AA
Mathematical analysis 3
6 ECTS
064AA
Mathematical Logic
6 ECTS
147AA
Mathematical methods in Cryptography
6 ECTS
559AA
Mathematical models in biomedicine and mathematical physics
6 ECTS
110AA
Mathematical physics
6 ECTS
075AA
Mathematical statistics
6 ECTS
140AA
Mathematics and music
6 ECTS
141AA
Mathematics and society
6 ECTS
111AA
Math Physics
6 ECTS
219AA
Measure theory
6 ECTS
094AA
Microlocal analysis
6 ECTS
187AA
Minimal Surfaces
6 ECTS
213AA
Model Theory.
6 ECTS
113AA
Modular forms
6 ECTS
698AA
Noncommutative algebra
6 ECTS
095AA
Nonlinear analysis
6 ECTS
552AA
Nonlinear capacity, variational inequalities and applications
6 ECTS
550AA
Non-standard analysis
6 ECTS
150AA
Numerical methods for Fourier analysis.
6 ECTS
149AA
Numerical methods for graphics.
6 ECTS
148AA
Numerical methods for Markov chains.
6 ECTS
067AA
Numerical Methods for Ordinary Differential Equations
6 ECTS
072AA
Operational research
6 ECTS
611AA
Operational research and communication and transport nets.
6 ECTS
216AA
Optimal control theory
6 ECTS
101AA
Orbital determination
6 ECTS
108AA
Ordinary differential equations
6 ECTS
156AA
Origins and development of modern mathematics
6 ECTS
557AA
Parabolic equations
6 ECTS
545AA
Partial differential equations
6 ECTS
553AA
Partial differential equations 2
6 ECTS
015BB
Physics Complements
6 ECTS
242BB
Physics II
9 ECTS
243BB
Physics III
6 ECTS
247BB
Physics lab for teaching
6 ECTS
703AA
Post-quantum cryptography
6 ECTS
070AA
Probability
6 ECTS
612AA
Problems and methods in Mathematics Education Research
6 ECTS
166AA
Problem solving
6 ECTS
218AA
Proof theory
6 ECTS
551AA
Real analysis
6 ECTS
126AA
Real geometry A
6 ECTS
127AA
Real geometry B
6 ECTS
128AA
Real geometry C
6 ECTS
581AA
Relativistic mechanics
6 ECTS
130AA
Riemannian geometry
6 ECTS
578AA
Satellite geodesy
6 ECTS
044AA
Scientific Computing
6 ECTS
215AA
Semigroup theory
6 ECTS
208AA
Set Theory
6 ECTS
144AA
Space mechanics
6 ECTS
114AA
Special functions
6 ECTS
555AA
Stochastic differential equations and applications
6 ECTS
071AA
Stochastic processes
6 ECTS
185AA
Symmetric spaces
6 ECTS
131AA
Symplectic geometry
6 ECTS
201AA
Technologies for education
6 ECTS
577AA
Theory and methods of optimization
6 ECTS
221AA
Theory of functions
6 ECTS
151AA
Topological methods for differential equations
6 ECTS
068AA
Topological methods in the global analysis
6 ECTS
230AA
Ultrafilters and nonstandard methods
6 ECTS
Group ModAppl - Choice of 12 ECTS from:
145AA
Advanced mechanics
6 ECTS
669AA
Advanced Statistics
6 ECTS
146AA
Approximation methods
6 ECTS
142AA
Celestial mechanics
6 ECTS
699AA
Data Analysis
6 ECTS
074AA
Dynamical systems
6 ECTS
580AA
Dynamics of the solar system
6 ECTS
051AA
Elements of celestial mechanics
6 ECTS
211AA
Game theory.
6 ECTS
075AA
Mathematical statistics
6 ECTS
111AA
Math Physics
6 ECTS
149AA
Numerical methods for graphics.
6 ECTS
148AA
Numerical methods for Markov chains.
6 ECTS
067AA
Numerical Methods for Ordinary Differential Equations
6 ECTS
072AA
Operational research
6 ECTS
101AA
Orbital determination
6 ECTS
070AA
Probability
6 ECTS
575AA
Rational mechanics
6 ECTS
578AA
Satellite geodesy
6 ECTS
044AA
Scientific Computing
6 ECTS
144AA
Space mechanics
6 ECTS
577AA
Theory and methods of optimization
6 ECTS
Group ModTeor - Choice of 12 ECTS from:
232AA
3-manifolds
6 ECTS
038AA
Algebra 2
6 ECTS
115AA
Algebraic geometry A
6 ECTS
116AA
Algebraic geometry B
6 ECTS
117AA
Algebraic geometry C
6 ECTS
077AA
Algebraic number theory 1
6 ECTS
226AA
Algebraic topology
6 ECTS
204AA
Analytic number theory A
6 ECTS
210AA
Automated control theory
6 ECTS
096AA
Calculus of variations A
6 ECTS
091AA
Complex analysis A
6 ECTS
123AA
Complex differential geometry
6 ECTS
082AA
Computational commutative algebra and algebraic geometry
6 ECTS
045AA
Computer algebra
6 ECTS
083AA
Computer algebra A
6 ECTS
084AA
Computer algebra B.
6 ECTS
093AA
Convex analysis
6 ECTS
055AA
Differential geometry and topology
6 ECTS
227AA
Differential topology
6 ECTS
080AA
Elementary number theory
6 ECTS
049AA
Elements of algebraic geometry
6 ECTS
054AA
Elements of algebraic topology
6 ECTS
047AA
Elements of calculus of variations
6 ECTS
046AA
Elements of complex analysis
6 ECTS
053AA
Elements of Set Theory
6 ECTS
109AA
Elliptic equations
6 ECTS
554AA
Equations of fluid mechanics
6 ECTS
168AA
Evolution problems
6 ECTS
078AA
Field and Galois theories
6 ECTS
124AA
Geometry and topology of surfaces
6 ECTS
090AA
Harmonic analysis
6 ECTS
087AA
Higher algebra A
6 ECTS
088AA
Higher algebra B
6 ECTS
527AA
Higher analysis
6 ECTS
106AA
Holomorphic dynamics
6 ECTS
556AA
Hyperbolic equations
6 ECTS
125AA
Hyperbolic geometry
6 ECTS
214AA
Knot theory
6 ECTS
228AA
Low-dimensional topology and geometry
6 ECTS
547AA
Mathematical analysis 3
6 ECTS
064AA
Mathematical Logic
6 ECTS
219AA
Measure theory
6 ECTS
213AA
Model Theory.
6 ECTS
095AA
Nonlinear analysis
6 ECTS
545AA
Partial differential equations
6 ECTS
553AA
Partial differential equations 2
6 ECTS
126AA
Real geometry A
6 ECTS
127AA
Real geometry B
6 ECTS
130AA
Riemannian geometry
6 ECTS
208AA
Set Theory
6 ECTS
068AA
Topological methods in the global analysis
6 ECTS
230AA
Ultrafilters and nonstandard methods
6 ECTS
Year 2 (2020/2021)
1227Z
Final proof
27 ECTS
Free choice
6 ECTS
Group IstFisNum - Choice of 9 ECTS from:
137AA
Fundamentals of mathematical physics
9 ECTS
136AA
Principles of numerical analysis
9 ECTS
Group ModAffInt - Choice of 18 ECTS from:
231AA
2-manifolds
6 ECTS
232AA
3-manifolds
6 ECTS
233AA
4-manifolds
6 ECTS
145AA
Advanced mechanics
6 ECTS
107AA
Advanced numerical linear algebra
6 ECTS
560AA
Advanced probability
6 ECTS
037AA
Algebra 1
6 ECTS
038AA
Algebra 2
6 ECTS
115AA
Algebraic geometry A
6 ECTS
116AA
Algebraic geometry B
6 ECTS
117AA
Algebraic geometry C
6 ECTS
118AA
Algebraic geometry D
6 ECTS
119AA
Algebraic geometry E
6 ECTS
120AA
Algebraic geometry F
6 ECTS
077AA
Algebraic number theory 1
6 ECTS
202AA
Algebraic number theory 2
6 ECTS
706AA
Algebraic number theory 3
6 ECTS
226AA
Algebraic topology
6 ECTS
039AA
Algorithms and data structure
6 ECTS
549AA
Analysis in metric spaces
6 ECTS
204AA
Analytic number theory A
6 ECTS
205AA
Analytic number theory B
6 ECTS
701AA
Applications of Differential Equations in Biomedicine
6 ECTS
700AA
Applications of fluid dynamics in biomedicine
6 ECTS
146AA
Approximation methods
6 ECTS
210AA
Automated control theory
6 ECTS
096AA
Calculus of variations A
6 ECTS
097AA
Calculus of variations B
6 ECTS
220AA
Category theory
6 ECTS
142AA
Celestial mechanics
6 ECTS
209AA
Coding theory
6 ECTS
079AA
Coding theory and cryptography
6 ECTS
610AA
Combinatorial optimization
6 ECTS
582AA
Complements of mathematics education
6 ECTS
091AA
Complex analysis A
6 ECTS
092AA
Complex analysis B
6 ECTS
123AA
Complex differential geometry
6 ECTS
217AA
Computability Theory
6 ECTS
082AA
Computational commutative algebra and algebraic geometry
6 ECTS
129AA
Computational real geometry
6 ECTS
045AA
Computer algebra
6 ECTS
083AA
Computer algebra A
6 ECTS
084AA
Computer algebra B.
6 ECTS
122AA
Contact geometry
6 ECTS
143AA
Continuous mechanics
6 ECTS
093AA
Convex analysis
6 ECTS
132AA
Coxeter Groups
6 ECTS
098AA
Cyclotomic fields
6 ECTS
222AA
Descriptive complexity theory
6 ECTS
528AA
Didactics of mathematics and new technologies
6 ECTS
055AA
Differential geometry and topology
6 ECTS
155AA
Differential operators and index theorems
6 ECTS
227AA
Differential topology
6 ECTS
171AA
Discrete dynamical systems
6 ECTS
139AA
Discrete mathematics
6 ECTS
074AA
Dynamical systems
6 ECTS
104AA
Dynamics of the Earth-Moon system
6 ECTS
580AA
Dynamics of the solar system
6 ECTS
065AA
Elementary mathematics from an advanced standpoint: arithmetic
6 ECTS
066AA
Elementary mathematics from an advanced standpoint: geometry
6 ECTS
080AA
Elementary number theory
6 ECTS
049AA
Elements of algebraic geometry
6 ECTS
054AA
Elements of algebraic topology
6 ECTS
514AA
Elements of calculus of homogeneous groups
6 ECTS
047AA
Elements of calculus of variations
6 ECTS
051AA
Elements of celestial mechanics
6 ECTS
046AA
Elements of complex analysis
6 ECTS
050AA
Elements of Mathematical Logic
6 ECTS
052AA
Elements of probability and statistics
6 ECTS
053AA
Elements of Set Theory
6 ECTS
704AA
Elliptic curves
6 ECTS
109AA
Elliptic equations
6 ECTS
554AA
Equations of fluid mechanics
6 ECTS
224AA
Ergodic theory
6 ECTS
702AA
Étale cohomology
6 ECTS
168AA
Evolution problems
6 ECTS
078AA
Field and Galois theories
6 ECTS
112AA
Foundations of mathematics
6 ECTS
099AA
Functional Analysis
6 ECTS
172AA
Functional spaces
6 ECTS
211AA
Game theory.
6 ECTS
229AA
General topology
6 ECTS
548AA
Geometric analysis
6 ECTS
225AA
Geometric measure theory
6 ECTS
124AA
Geometry and topology of surfaces
6 ECTS
121AA
Geometry of metric spaces
6 ECTS
057AA
Groups and representations
6 ECTS
212AA
Group theory
6 ECTS
090AA
Harmonic analysis
6 ECTS
087AA
Higher algebra A
6 ECTS
088AA
Higher algebra B
6 ECTS
527AA
Higher analysis
6 ECTS
186AA
History of ancient mathematics and its tradition
6 ECTS
106AA
Holomorphic dynamics
6 ECTS
086AA
Homological algebra
6 ECTS
105AA
Hyperbolic dynamics
6 ECTS
556AA
Hyperbolic equations
6 ECTS
125AA
Hyperbolic geometry
6 ECTS
076AA
Hystory of Mathematics
6 ECTS
609AA
Introduction to geometric measure theory
6 ECTS
133AA
Introduction to p-adic analysis
6 ECTS
018BB
Introduction to quantum mechanics
6 ECTS
214AA
Knot theory
6 ECTS
089AA
Lie algebras and Lie groups
6 ECTS
705AA
Linear algebraic groups
6 ECTS
085AA
Linear and multilinear algebra.
6 ECTS
152AA
Linear and nonlinear waves:
6 ECTS
228AA
Low-dimensional topology and geometry
6 ECTS
547AA
Mathematical analysis 3
6 ECTS
064AA
Mathematical Logic
6 ECTS
147AA
Mathematical methods in Cryptography
6 ECTS
559AA
Mathematical models in biomedicine and mathematical physics
6 ECTS
110AA
Mathematical physics
6 ECTS
075AA
Mathematical statistics
6 ECTS
140AA
Mathematics and music
6 ECTS
141AA
Mathematics and society
6 ECTS
111AA
Math Physics
6 ECTS
219AA
Measure theory
6 ECTS
094AA
Microlocal analysis
6 ECTS
187AA
Minimal Surfaces
6 ECTS
213AA
Model Theory.
6 ECTS
113AA
Modular forms
6 ECTS
698AA
Noncommutative algebra
6 ECTS
095AA
Nonlinear analysis
6 ECTS
552AA
Nonlinear capacity, variational inequalities and applications
6 ECTS
550AA
Non-standard analysis
6 ECTS
150AA
Numerical methods for Fourier analysis.
6 ECTS
149AA
Numerical methods for graphics.
6 ECTS
148AA
Numerical methods for Markov chains.
6 ECTS
067AA
Numerical Methods for Ordinary Differential Equations
6 ECTS
072AA
Operational research
6 ECTS
611AA
Operational research and communication and transport nets.
6 ECTS
216AA
Optimal control theory
6 ECTS
101AA
Orbital determination
6 ECTS
108AA
Ordinary differential equations
6 ECTS
156AA
Origins and development of modern mathematics
6 ECTS
557AA
Parabolic equations
6 ECTS
545AA
Partial differential equations
6 ECTS
553AA
Partial differential equations 2
6 ECTS
015BB
Physics Complements
6 ECTS
242BB
Physics II
9 ECTS
243BB
Physics III
6 ECTS
247BB
Physics lab for teaching
6 ECTS
703AA
Post-quantum cryptography
6 ECTS
070AA
Probability
6 ECTS
612AA
Problems and methods in Mathematics Education Research
6 ECTS
166AA
Problem solving
6 ECTS
218AA
Proof theory
6 ECTS
551AA
Real analysis
6 ECTS
126AA
Real geometry A
6 ECTS
127AA
Real geometry B
6 ECTS
128AA
Real geometry C
6 ECTS
581AA
Relativistic mechanics
6 ECTS
130AA
Riemannian geometry
6 ECTS
578AA
Satellite geodesy
6 ECTS
044AA
Scientific Computing
6 ECTS
215AA
Semigroup theory
6 ECTS
208AA
Set Theory
6 ECTS
144AA
Space mechanics
6 ECTS
114AA
Special functions
6 ECTS
555AA
Stochastic differential equations and applications
6 ECTS
071AA
Stochastic processes
6 ECTS
185AA
Symmetric spaces
6 ECTS
131AA
Symplectic geometry
6 ECTS
201AA
Technologies for education
6 ECTS
577AA
Theory and methods of optimization
6 ECTS
221AA
Theory of functions
6 ECTS
151AA
Topological methods for differential equations
6 ECTS
068AA
Topological methods in the global analysis
6 ECTS
230AA
Ultrafilters and nonstandard methods
6 ECTS
Track Teorico
Year 1 (2019/2020)
Free choice
6 ECTS
134AA
Principles of algebra
9 ECTS
135AA
Principles of mathematical analysis
9 ECTS
Group ModAffInt - Choice of 12 ECTS from:
231AA
2-manifolds
6 ECTS
232AA
3-manifolds
6 ECTS
233AA
4-manifolds
6 ECTS
145AA
Advanced mechanics
6 ECTS
107AA
Advanced numerical linear algebra
6 ECTS
560AA
Advanced probability
6 ECTS
037AA
Algebra 1
6 ECTS
038AA
Algebra 2
6 ECTS
115AA
Algebraic geometry A
6 ECTS
116AA
Algebraic geometry B
6 ECTS
117AA
Algebraic geometry C
6 ECTS
118AA
Algebraic geometry D
6 ECTS
119AA
Algebraic geometry E
6 ECTS
120AA
Algebraic geometry F
6 ECTS
077AA
Algebraic number theory 1
6 ECTS
202AA
Algebraic number theory 2
6 ECTS
706AA
Algebraic number theory 3
6 ECTS
226AA
Algebraic topology
6 ECTS
039AA
Algorithms and data structure
6 ECTS
549AA
Analysis in metric spaces
6 ECTS
204AA
Analytic number theory A
6 ECTS
205AA
Analytic number theory B
6 ECTS
701AA
Applications of Differential Equations in Biomedicine
6 ECTS
700AA
Applications of fluid dynamics in biomedicine
6 ECTS
146AA
Approximation methods
6 ECTS
210AA
Automated control theory
6 ECTS
096AA
Calculus of variations A
6 ECTS
097AA
Calculus of variations B
6 ECTS
220AA
Category theory
6 ECTS
142AA
Celestial mechanics
6 ECTS
209AA
Coding theory
6 ECTS
079AA
Coding theory and cryptography
6 ECTS
610AA
Combinatorial optimization
6 ECTS
582AA
Complements of mathematics education
6 ECTS
091AA
Complex analysis A
6 ECTS
092AA
Complex analysis B
6 ECTS
123AA
Complex differential geometry
6 ECTS
217AA
Computability Theory
6 ECTS
082AA
Computational commutative algebra and algebraic geometry
6 ECTS
129AA
Computational real geometry
6 ECTS
045AA
Computer algebra
6 ECTS
083AA
Computer algebra A
6 ECTS
084AA
Computer algebra B.
6 ECTS
122AA
Contact geometry
6 ECTS
143AA
Continuous mechanics
6 ECTS
093AA
Convex analysis
6 ECTS
132AA
Coxeter Groups
6 ECTS
098AA
Cyclotomic fields
6 ECTS
222AA
Descriptive complexity theory
6 ECTS
528AA
Didactics of mathematics and new technologies
6 ECTS
055AA
Differential geometry and topology
6 ECTS
155AA
Differential operators and index theorems
6 ECTS
227AA
Differential topology
6 ECTS
171AA
Discrete dynamical systems
6 ECTS
139AA
Discrete mathematics
6 ECTS
074AA
Dynamical systems
6 ECTS
104AA
Dynamics of the Earth-Moon system
6 ECTS
580AA
Dynamics of the solar system
6 ECTS
065AA
Elementary mathematics from an advanced standpoint: arithmetic
6 ECTS
066AA
Elementary mathematics from an advanced standpoint: geometry
6 ECTS
080AA
Elementary number theory
6 ECTS
049AA
Elements of algebraic geometry
6 ECTS
054AA
Elements of algebraic topology
6 ECTS
514AA
Elements of calculus of homogeneous groups
6 ECTS
047AA
Elements of calculus of variations
6 ECTS
051AA
Elements of celestial mechanics
6 ECTS
046AA
Elements of complex analysis
6 ECTS
050AA
Elements of Mathematical Logic
6 ECTS
052AA
Elements of probability and statistics
6 ECTS
053AA
Elements of Set Theory
6 ECTS
704AA
Elliptic curves
6 ECTS
109AA
Elliptic equations
6 ECTS
554AA
Equations of fluid mechanics
6 ECTS
224AA
Ergodic theory
6 ECTS
702AA
Étale cohomology
6 ECTS
168AA
Evolution problems
6 ECTS
078AA
Field and Galois theories
6 ECTS
112AA
Foundations of mathematics
6 ECTS
099AA
Functional Analysis
6 ECTS
172AA
Functional spaces
6 ECTS
211AA
Game theory.
6 ECTS
229AA
General topology
6 ECTS
548AA
Geometric analysis
6 ECTS
225AA
Geometric measure theory
6 ECTS
124AA
Geometry and topology of surfaces
6 ECTS
121AA
Geometry of metric spaces
6 ECTS
057AA
Groups and representations
6 ECTS
212AA
Group theory
6 ECTS
090AA
Harmonic analysis
6 ECTS
087AA
Higher algebra A
6 ECTS
088AA
Higher algebra B
6 ECTS
527AA
Higher analysis
6 ECTS
186AA
History of ancient mathematics and its tradition
6 ECTS
106AA
Holomorphic dynamics
6 ECTS
086AA
Homological algebra
6 ECTS
105AA
Hyperbolic dynamics
6 ECTS
556AA
Hyperbolic equations
6 ECTS
125AA
Hyperbolic geometry
6 ECTS
076AA
Hystory of Mathematics
6 ECTS
609AA
Introduction to geometric measure theory
6 ECTS
133AA
Introduction to p-adic analysis
6 ECTS
018BB
Introduction to quantum mechanics
6 ECTS
214AA
Knot theory
6 ECTS
089AA
Lie algebras and Lie groups
6 ECTS
705AA
Linear algebraic groups
6 ECTS
085AA
Linear and multilinear algebra.
6 ECTS
152AA
Linear and nonlinear waves:
6 ECTS
228AA
Low-dimensional topology and geometry
6 ECTS
547AA
Mathematical analysis 3
6 ECTS
064AA
Mathematical Logic
6 ECTS
147AA
Mathematical methods in Cryptography
6 ECTS
559AA
Mathematical models in biomedicine and mathematical physics
6 ECTS
110AA
Mathematical physics
6 ECTS
075AA
Mathematical statistics
6 ECTS
140AA
Mathematics and music
6 ECTS
141AA
Mathematics and society
6 ECTS
111AA
Math Physics
6 ECTS
219AA
Measure theory
6 ECTS
094AA
Microlocal analysis
6 ECTS
187AA
Minimal Surfaces
6 ECTS
213AA
Model Theory.
6 ECTS
113AA
Modular forms
6 ECTS
698AA
Noncommutative algebra
6 ECTS
095AA
Nonlinear analysis
6 ECTS
552AA
Nonlinear capacity, variational inequalities and applications
6 ECTS
550AA
Non-standard analysis
6 ECTS
150AA
Numerical methods for Fourier analysis.
6 ECTS
149AA
Numerical methods for graphics.
6 ECTS
148AA
Numerical methods for Markov chains.
6 ECTS
067AA
Numerical Methods for Ordinary Differential Equations
6 ECTS
072AA
Operational research
6 ECTS
611AA
Operational research and communication and transport nets.
6 ECTS
216AA
Optimal control theory
6 ECTS
101AA
Orbital determination
6 ECTS
108AA
Ordinary differential equations
6 ECTS
156AA
Origins and development of modern mathematics
6 ECTS
557AA
Parabolic equations
6 ECTS
545AA
Partial differential equations
6 ECTS
553AA
Partial differential equations 2
6 ECTS
015BB
Physics Complements
6 ECTS
242BB
Physics II
9 ECTS
243BB
Physics III
6 ECTS
247BB
Physics lab for teaching
6 ECTS
703AA
Post-quantum cryptography
6 ECTS
070AA
Probability
6 ECTS
612AA
Problems and methods in Mathematics Education Research
6 ECTS
166AA
Problem solving
6 ECTS
218AA
Proof theory
6 ECTS
551AA
Real analysis
6 ECTS
126AA
Real geometry A
6 ECTS
127AA
Real geometry B
6 ECTS
128AA
Real geometry C
6 ECTS
581AA
Relativistic mechanics
6 ECTS
130AA
Riemannian geometry
6 ECTS
578AA
Satellite geodesy
6 ECTS
044AA
Scientific Computing
6 ECTS
215AA
Semigroup theory
6 ECTS
208AA
Set Theory
6 ECTS
144AA
Space mechanics
6 ECTS
114AA
Special functions
6 ECTS
555AA
Stochastic differential equations and applications
6 ECTS
071AA
Stochastic processes
6 ECTS
185AA
Symmetric spaces
6 ECTS
131AA
Symplectic geometry
6 ECTS
201AA
Technologies for education
6 ECTS
577AA
Theory and methods of optimization
6 ECTS
221AA
Theory of functions
6 ECTS
151AA
Topological methods for differential equations
6 ECTS
068AA
Topological methods in the global analysis
6 ECTS
230AA
Ultrafilters and nonstandard methods
6 ECTS
Group ModAppl - Choice of 6 ECTS from:
145AA
Advanced mechanics
6 ECTS
669AA
Advanced Statistics
6 ECTS
146AA
Approximation methods
6 ECTS
142AA
Celestial mechanics
6 ECTS
699AA
Data Analysis
6 ECTS
074AA
Dynamical systems
6 ECTS
580AA
Dynamics of the solar system
6 ECTS
051AA
Elements of celestial mechanics
6 ECTS
211AA
Game theory.
6 ECTS
075AA
Mathematical statistics
6 ECTS
111AA
Math Physics
6 ECTS
149AA
Numerical methods for graphics.
6 ECTS
148AA
Numerical methods for Markov chains.
6 ECTS
067AA
Numerical Methods for Ordinary Differential Equations
6 ECTS
072AA
Operational research
6 ECTS
101AA
Orbital determination
6 ECTS
070AA
Probability
6 ECTS
575AA
Rational mechanics
6 ECTS
578AA
Satellite geodesy
6 ECTS
044AA
Scientific Computing
6 ECTS
144AA
Space mechanics
6 ECTS
577AA
Theory and methods of optimization
6 ECTS
Group ModTeor - Choice of 18 ECTS from:
232AA
3-manifolds
6 ECTS
038AA
Algebra 2
6 ECTS
115AA
Algebraic geometry A
6 ECTS
116AA
Algebraic geometry B
6 ECTS
117AA
Algebraic geometry C
6 ECTS
077AA
Algebraic number theory 1
6 ECTS
226AA
Algebraic topology
6 ECTS
204AA
Analytic number theory A
6 ECTS
210AA
Automated control theory
6 ECTS
096AA
Calculus of variations A
6 ECTS
091AA
Complex analysis A
6 ECTS
123AA
Complex differential geometry
6 ECTS
082AA
Computational commutative algebra and algebraic geometry
6 ECTS
045AA
Computer algebra
6 ECTS
083AA
Computer algebra A
6 ECTS
084AA
Computer algebra B.
6 ECTS
093AA
Convex analysis
6 ECTS
055AA
Differential geometry and topology
6 ECTS
227AA
Differential topology
6 ECTS
080AA
Elementary number theory
6 ECTS
049AA
Elements of algebraic geometry
6 ECTS
054AA
Elements of algebraic topology
6 ECTS
047AA
Elements of calculus of variations
6 ECTS
046AA
Elements of complex analysis
6 ECTS
053AA
Elements of Set Theory
6 ECTS
109AA
Elliptic equations
6 ECTS
554AA
Equations of fluid mechanics
6 ECTS
168AA
Evolution problems
6 ECTS
078AA
Field and Galois theories
6 ECTS
124AA
Geometry and topology of surfaces
6 ECTS
090AA
Harmonic analysis
6 ECTS
087AA
Higher algebra A
6 ECTS
088AA
Higher algebra B
6 ECTS
527AA
Higher analysis
6 ECTS
106AA
Holomorphic dynamics
6 ECTS
556AA
Hyperbolic equations
6 ECTS
125AA
Hyperbolic geometry
6 ECTS
214AA
Knot theory
6 ECTS
228AA
Low-dimensional topology and geometry
6 ECTS
547AA
Mathematical analysis 3
6 ECTS
064AA
Mathematical Logic
6 ECTS
219AA
Measure theory
6 ECTS
213AA
Model Theory.
6 ECTS
095AA
Nonlinear analysis
6 ECTS
545AA
Partial differential equations
6 ECTS
553AA
Partial differential equations 2
6 ECTS
126AA
Real geometry A
6 ECTS
127AA
Real geometry B
6 ECTS
130AA
Riemannian geometry
6 ECTS
208AA
Set Theory
6 ECTS
068AA
Topological methods in the global analysis
6 ECTS
230AA
Ultrafilters and nonstandard methods
6 ECTS
Year 2 (2020/2021)
1227Z
Final proof
27 ECTS
Free choice
6 ECTS
138AA
Principles of geometry
9 ECTS
Group ModAffInt - Choice of 18 ECTS from:
231AA
2-manifolds
6 ECTS
232AA
3-manifolds
6 ECTS
233AA
4-manifolds
6 ECTS
145AA
Advanced mechanics
6 ECTS
107AA
Advanced numerical linear algebra
6 ECTS
560AA
Advanced probability
6 ECTS
037AA
Algebra 1
6 ECTS
038AA
Algebra 2
6 ECTS
115AA
Algebraic geometry A
6 ECTS
116AA
Algebraic geometry B
6 ECTS
117AA
Algebraic geometry C
6 ECTS
118AA
Algebraic geometry D
6 ECTS
119AA
Algebraic geometry E
6 ECTS
120AA
Algebraic geometry F
6 ECTS
077AA
Algebraic number theory 1
6 ECTS
202AA
Algebraic number theory 2
6 ECTS
706AA
Algebraic number theory 3
6 ECTS
226AA
Algebraic topology
6 ECTS
039AA
Algorithms and data structure
6 ECTS
549AA
Analysis in metric spaces
6 ECTS
204AA
Analytic number theory A
6 ECTS
205AA
Analytic number theory B
6 ECTS
701AA
Applications of Differential Equations in Biomedicine
6 ECTS
700AA
Applications of fluid dynamics in biomedicine
6 ECTS
146AA
Approximation methods
6 ECTS
210AA
Automated control theory
6 ECTS
096AA
Calculus of variations A
6 ECTS
097AA
Calculus of variations B
6 ECTS
220AA
Category theory
6 ECTS
142AA
Celestial mechanics
6 ECTS
209AA
Coding theory
6 ECTS
079AA
Coding theory and cryptography
6 ECTS
610AA
Combinatorial optimization
6 ECTS
582AA
Complements of mathematics education
6 ECTS
091AA
Complex analysis A
6 ECTS
092AA
Complex analysis B
6 ECTS
123AA
Complex differential geometry
6 ECTS
217AA
Computability Theory
6 ECTS
082AA
Computational commutative algebra and algebraic geometry
6 ECTS
129AA
Computational real geometry
6 ECTS
045AA
Computer algebra
6 ECTS
083AA
Computer algebra A
6 ECTS
084AA
Computer algebra B.
6 ECTS
122AA
Contact geometry
6 ECTS
143AA
Continuous mechanics
6 ECTS
093AA
Convex analysis
6 ECTS
132AA
Coxeter Groups
6 ECTS
098AA
Cyclotomic fields
6 ECTS
222AA
Descriptive complexity theory
6 ECTS
528AA
Didactics of mathematics and new technologies
6 ECTS
055AA
Differential geometry and topology
6 ECTS
155AA
Differential operators and index theorems
6 ECTS
227AA
Differential topology
6 ECTS
171AA
Discrete dynamical systems
6 ECTS
139AA
Discrete mathematics
6 ECTS
074AA
Dynamical systems
6 ECTS
104AA
Dynamics of the Earth-Moon system
6 ECTS
580AA
Dynamics of the solar system
6 ECTS
065AA
Elementary mathematics from an advanced standpoint: arithmetic
6 ECTS
066AA
Elementary mathematics from an advanced standpoint: geometry
6 ECTS
080AA
Elementary number theory
6 ECTS
049AA
Elements of algebraic geometry
6 ECTS
054AA
Elements of algebraic topology
6 ECTS
514AA
Elements of calculus of homogeneous groups
6 ECTS
047AA
Elements of calculus of variations
6 ECTS
051AA
Elements of celestial mechanics
6 ECTS
046AA
Elements of complex analysis
6 ECTS
050AA
Elements of Mathematical Logic
6 ECTS
052AA
Elements of probability and statistics
6 ECTS
053AA
Elements of Set Theory
6 ECTS
704AA
Elliptic curves
6 ECTS
109AA
Elliptic equations
6 ECTS
554AA
Equations of fluid mechanics
6 ECTS
224AA
Ergodic theory
6 ECTS
702AA
Étale cohomology
6 ECTS
168AA
Evolution problems
6 ECTS
078AA
Field and Galois theories
6 ECTS
112AA
Foundations of mathematics
6 ECTS
099AA
Functional Analysis
6 ECTS
172AA
Functional spaces
6 ECTS
211AA
Game theory.
6 ECTS
229AA
General topology
6 ECTS
548AA
Geometric analysis
6 ECTS
225AA
Geometric measure theory
6 ECTS
124AA
Geometry and topology of surfaces
6 ECTS
121AA
Geometry of metric spaces
6 ECTS
057AA
Groups and representations
6 ECTS
212AA
Group theory
6 ECTS
090AA
Harmonic analysis
6 ECTS
087AA
Higher algebra A
6 ECTS
088AA
Higher algebra B
6 ECTS
527AA
Higher analysis
6 ECTS
186AA
History of ancient mathematics and its tradition
6 ECTS
106AA
Holomorphic dynamics
6 ECTS
086AA
Homological algebra
6 ECTS
105AA
Hyperbolic dynamics
6 ECTS
556AA
Hyperbolic equations
6 ECTS
125AA
Hyperbolic geometry
6 ECTS
076AA
Hystory of Mathematics
6 ECTS
609AA
Introduction to geometric measure theory
6 ECTS
133AA
Introduction to p-adic analysis
6 ECTS
018BB
Introduction to quantum mechanics
6 ECTS
214AA
Knot theory
6 ECTS
089AA
Lie algebras and Lie groups
6 ECTS
705AA
Linear algebraic groups
6 ECTS
085AA
Linear and multilinear algebra.
6 ECTS
152AA
Linear and nonlinear waves:
6 ECTS
228AA
Low-dimensional topology and geometry
6 ECTS
547AA
Mathematical analysis 3
6 ECTS
064AA
Mathematical Logic
6 ECTS
147AA
Mathematical methods in Cryptography
6 ECTS
559AA
Mathematical models in biomedicine and mathematical physics
6 ECTS
110AA
Mathematical physics
6 ECTS
075AA
Mathematical statistics
6 ECTS
140AA
Mathematics and music
6 ECTS
141AA
Mathematics and society
6 ECTS
111AA
Math Physics
6 ECTS
219AA
Measure theory
6 ECTS
094AA
Microlocal analysis
6 ECTS
187AA
Minimal Surfaces
6 ECTS
213AA
Model Theory.
6 ECTS
113AA
Modular forms
6 ECTS
698AA
Noncommutative algebra
6 ECTS
095AA
Nonlinear analysis
6 ECTS
552AA
Nonlinear capacity, variational inequalities and applications
6 ECTS
550AA
Non-standard analysis
6 ECTS
150AA
Numerical methods for Fourier analysis.
6 ECTS
149AA
Numerical methods for graphics.
6 ECTS
148AA
Numerical methods for Markov chains.
6 ECTS
067AA
Numerical Methods for Ordinary Differential Equations
6 ECTS
072AA
Operational research
6 ECTS
611AA
Operational research and communication and transport nets.
6 ECTS
216AA
Optimal control theory
6 ECTS
101AA
Orbital determination
6 ECTS
108AA
Ordinary differential equations
6 ECTS
156AA
Origins and development of modern mathematics
6 ECTS
557AA
Parabolic equations
6 ECTS
545AA
Partial differential equations
6 ECTS
553AA
Partial differential equations 2
6 ECTS
015BB
Physics Complements
6 ECTS
242BB
Physics II
9 ECTS
243BB
Physics III
6 ECTS
247BB
Physics lab for teaching
6 ECTS
703AA
Post-quantum cryptography
6 ECTS
070AA
Probability
6 ECTS
612AA
Problems and methods in Mathematics Education Research
6 ECTS
166AA
Problem solving
6 ECTS
218AA
Proof theory
6 ECTS
551AA
Real analysis
6 ECTS
126AA
Real geometry A
6 ECTS
127AA
Real geometry B
6 ECTS
128AA
Real geometry C
6 ECTS
581AA
Relativistic mechanics
6 ECTS
130AA
Riemannian geometry
6 ECTS
578AA
Satellite geodesy
6 ECTS
044AA
Scientific Computing
6 ECTS
215AA
Semigroup theory
6 ECTS
208AA
Set Theory
6 ECTS
144AA
Space mechanics
6 ECTS
114AA
Special functions
6 ECTS
555AA
Stochastic differential equations and applications
6 ECTS
071AA
Stochastic processes
6 ECTS
185AA
Symmetric spaces
6 ECTS
131AA
Symplectic geometry
6 ECTS
201AA
Technologies for education
6 ECTS
577AA
Theory and methods of optimization
6 ECTS
221AA
Theory of functions
6 ECTS
151AA
Topological methods for differential equations
6 ECTS
068AA
Topological methods in the global analysis
6 ECTS
230AA
Ultrafilters and nonstandard methods
6 ECTS
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2013-2024
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