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 (2020/2021)
	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
	669AA	Advanced Statistics	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
	608AA	Algebraic geometry G	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
	699AA	Data Analysis	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
	110AA	Financial Mathematics	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
	746AA	Knot theory A	6 ECTS
	747AA	Knot Theory B	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
	075AA	Mathematical statistics	6 ECTS
	140AA	Mathematics and music	6 ECTS
	141AA	Mathematics and society	6 ECTS
	670AA	Mathematics for Teaching Middle School Part A	6 ECTS
	671AA	Mathematics for Teaching Middle School Part B	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
	613AA	Problems and methods in history of mathematics	6 ECTS
	612AA	Problems and methods in Mathematics Education Research	6 ECTS
	166AA	Problem solving	6 ECTS
	218AA	Proof theory	6 ECTS
	575AA	Rational mechanics	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
	746AA	Knot theory A	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 (2021/2022)
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
	669AA	Advanced Statistics	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
	608AA	Algebraic geometry G	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
	699AA	Data Analysis	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
	110AA	Financial Mathematics	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
	746AA	Knot theory A	6 ECTS
	747AA	Knot Theory B	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
	075AA	Mathematical statistics	6 ECTS
	140AA	Mathematics and music	6 ECTS
	141AA	Mathematics and society	6 ECTS
	670AA	Mathematics for Teaching Middle School Part A	6 ECTS
	671AA	Mathematics for Teaching Middle School Part B	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
	613AA	Problems and methods in history of mathematics	6 ECTS
	612AA	Problems and methods in Mathematics Education Research	6 ECTS
	166AA	Problem solving	6 ECTS
	218AA	Proof theory	6 ECTS
	575AA	Rational mechanics	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 (2020/2021)
	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
	669AA	Advanced Statistics	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
	608AA	Algebraic geometry G	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
	699AA	Data Analysis	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
	110AA	Financial Mathematics	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
	746AA	Knot theory A	6 ECTS
	747AA	Knot Theory B	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
	075AA	Mathematical statistics	6 ECTS
	140AA	Mathematics and music	6 ECTS
	141AA	Mathematics and society	6 ECTS
	670AA	Mathematics for Teaching Middle School Part A	6 ECTS
	671AA	Mathematics for Teaching Middle School Part B	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
	613AA	Problems and methods in history of mathematics	6 ECTS
	612AA	Problems and methods in Mathematics Education Research	6 ECTS
	166AA	Problem solving	6 ECTS
	218AA	Proof theory	6 ECTS
	575AA	Rational mechanics	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
	746AA	Knot theory A	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 (2021/2022)
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
	669AA	Advanced Statistics	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
	608AA	Algebraic geometry G	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
	699AA	Data Analysis	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
	110AA	Financial Mathematics	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
	746AA	Knot theory A	6 ECTS
	747AA	Knot Theory B	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
	075AA	Mathematical statistics	6 ECTS
	140AA	Mathematics and music	6 ECTS
	141AA	Mathematics and society	6 ECTS
	670AA	Mathematics for Teaching Middle School Part A	6 ECTS
	671AA	Mathematics for Teaching Middle School Part B	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
	613AA	Problems and methods in history of mathematics	6 ECTS
	612AA	Problems and methods in Mathematics Education Research	6 ECTS
	166AA	Problem solving	6 ECTS
	218AA	Proof theory	6 ECTS
	575AA	Rational mechanics	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 (2020/2021)
	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
	669AA	Advanced Statistics	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
	608AA	Algebraic geometry G	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
	699AA	Data Analysis	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
	110AA	Financial Mathematics	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
	746AA	Knot theory A	6 ECTS
	747AA	Knot Theory B	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
	075AA	Mathematical statistics	6 ECTS
	140AA	Mathematics and music	6 ECTS
	141AA	Mathematics and society	6 ECTS
	670AA	Mathematics for Teaching Middle School Part A	6 ECTS
	671AA	Mathematics for Teaching Middle School Part B	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
	613AA	Problems and methods in history of mathematics	6 ECTS
	612AA	Problems and methods in Mathematics Education Research	6 ECTS
	166AA	Problem solving	6 ECTS
	218AA	Proof theory	6 ECTS
	575AA	Rational mechanics	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
	746AA	Knot theory A	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 (2021/2022)
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
	669AA	Advanced Statistics	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
	608AA	Algebraic geometry G	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
	699AA	Data Analysis	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
	110AA	Financial Mathematics	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
	746AA	Knot theory A	6 ECTS
	747AA	Knot Theory B	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
	075AA	Mathematical statistics	6 ECTS
	140AA	Mathematics and music	6 ECTS
	141AA	Mathematics and society	6 ECTS
	670AA	Mathematics for Teaching Middle School Part A	6 ECTS
	671AA	Mathematics for Teaching Middle School Part B	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
	613AA	Problems and methods in history of mathematics	6 ECTS
	612AA	Problems and methods in Mathematics Education Research	6 ECTS
	166AA	Problem solving	6 ECTS
	218AA	Proof theory	6 ECTS
	575AA	Rational mechanics	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 (2020/2021)
	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
	669AA	Advanced Statistics	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
	608AA	Algebraic geometry G	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
	699AA	Data Analysis	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
	110AA	Financial Mathematics	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
	746AA	Knot theory A	6 ECTS
	747AA	Knot Theory B	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
	075AA	Mathematical statistics	6 ECTS
	140AA	Mathematics and music	6 ECTS
	141AA	Mathematics and society	6 ECTS
	670AA	Mathematics for Teaching Middle School Part A	6 ECTS
	671AA	Mathematics for Teaching Middle School Part B	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
	613AA	Problems and methods in history of mathematics	6 ECTS
	612AA	Problems and methods in Mathematics Education Research	6 ECTS
	166AA	Problem solving	6 ECTS
	218AA	Proof theory	6 ECTS
	575AA	Rational mechanics	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
	746AA	Knot theory A	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 (2021/2022)
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
	669AA	Advanced Statistics	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
	608AA	Algebraic geometry G	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
	699AA	Data Analysis	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
	110AA	Financial Mathematics	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
	746AA	Knot theory A	6 ECTS
	747AA	Knot Theory B	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
	075AA	Mathematical statistics	6 ECTS
	140AA	Mathematics and music	6 ECTS
	141AA	Mathematics and society	6 ECTS
	670AA	Mathematics for Teaching Middle School Part A	6 ECTS
	671AA	Mathematics for Teaching Middle School Part B	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
	613AA	Problems and methods in history of mathematics	6 ECTS
	612AA	Problems and methods in Mathematics Education Research	6 ECTS
	166AA	Problem solving	6 ECTS
	218AA	Proof theory	6 ECTS
	575AA	Rational mechanics	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 (2020/2021)
	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
	669AA	Advanced Statistics	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
	608AA	Algebraic geometry G	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
	699AA	Data Analysis	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
	110AA	Financial Mathematics	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
	746AA	Knot theory A	6 ECTS
	747AA	Knot Theory B	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
	075AA	Mathematical statistics	6 ECTS
	140AA	Mathematics and music	6 ECTS
	141AA	Mathematics and society	6 ECTS
	670AA	Mathematics for Teaching Middle School Part A	6 ECTS
	671AA	Mathematics for Teaching Middle School Part B	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
	613AA	Problems and methods in history of mathematics	6 ECTS
	612AA	Problems and methods in Mathematics Education Research	6 ECTS
	166AA	Problem solving	6 ECTS
	218AA	Proof theory	6 ECTS
	575AA	Rational mechanics	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
	746AA	Knot theory A	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 (2021/2022)
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
	669AA	Advanced Statistics	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
	608AA	Algebraic geometry G	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
	699AA	Data Analysis	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
	110AA	Financial Mathematics	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
	746AA	Knot theory A	6 ECTS
	747AA	Knot Theory B	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
	075AA	Mathematical statistics	6 ECTS
	140AA	Mathematics and music	6 ECTS
	141AA	Mathematics and society	6 ECTS
	670AA	Mathematics for Teaching Middle School Part A	6 ECTS
	671AA	Mathematics for Teaching Middle School Part B	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
	613AA	Problems and methods in history of mathematics	6 ECTS
	612AA	Problems and methods in Mathematics Education Research	6 ECTS
	166AA	Problem solving	6 ECTS
	218AA	Proof theory	6 ECTS
	575AA	Rational mechanics	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