Summary active courses from A.Y. 2016-17

Course Title	Code	2016-17	2017-18	2018-19	2019-20	2020-21	2021-22	2022-23	2023-24	2024-25	2025-26
2-manifolds	231AA
3-manifolds	232AA		✓
4-manifolds	233AA			✓			✓
Algebra 1	037AA	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓
Algebra 2	038AA	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓
Computational commutative algebra and algebraic geometry	082AA
Computer algebra A	083AA		✓
Computer algebra B	084AA
Linear and multilinear algebra.	085AA
Noncommutative algebra	698AA
Homological algebra	086AA
Higher algebra A	087AA	✓			✓	✓	✓	✓	✓	✓	✓
Higher algebra B	088AA
Lie algebras and Lie groups	089AA			✓				✓
Algorithms and data structure	039AA	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓
Harmonic analysis	090AA				✓			✓	✓	✓	✓
Convex analysis	093AA		✓		✓	✓	✓
Data Analysis	699AA				✓	✓	✓	✓	✓	✓	✓
Data Analysis	699AA				✓	✓	✓	✓	✓	✓	✓
Rough paths analysis	0025A
Geometric analysis	548AA
Analysis in metric spaces	549AA
Mathematical analysis 1	561AA	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓
Mathematical analysis 2	546AA	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓
Mathematical analysis 3	547AA	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓
Microlocal analysis	094AA
Nonlinear analysis	095AA
Non-standard analysis	550AA						✓
Numerical analysis with laboratory	043AA	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓
Real analysis	740AA					✓	✓		✓
Analysis on Gaussian Spaces	0026A									✓
Higher Analysis A	798AA								✓		✓
Higher Analysis B	799AA							✓	✓		✓
Applications of fluid dynamics in biomedicine	700AA
Applications of Differential Equations in Biomedicine	701AA
Arithmetic	015AA	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓
Mathematical aspects of reinforcement learning	0027A
Mathematical aspects in quantum computing	796AA							✓	✓		✓
Calculus of variations A	096AA			✓		✓	✓		✓	✓
Calculus of variations B	097AA									✓
Scientific Computing	044AA	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓
Cyclotomic fields	098AA
Nonlinear capacity, variational inequalities and applications	552AA
CATEGORIES IN GEOMETRY	0048A
Algebraic combinatorics	797AA							✓			✓
Functional Analysis	099AA					✓					✓
Complements of mathematics education	582AA
Complements Of Rational Mechanics	0049A										✓
Étale cohomology	702AA
Post-quantum cryptography	703AA				✓		✓
Elliptic curves	704AA									✓
Orbital determination	101AA	✓	✓		✓		✓	✓	✓	✓
Didactics of mathematics and new technologies	528AA	✓								✓	✓
Dynamics of the solar system	580AA	✓						✓	✓		✓
Hyperbolic dynamics	105AA						✓		✓		✓
Holomorphic dynamics	106AA								✓		✓
D-modules	0022A
Computer algebra	045AA
Elements of complex analysis	046AA	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓
Elements of calculus of variations	047AA	✓	✓		✓	✓		✓	✓	✓	✓
Elements of calculus of homogeneous groups	514AA										✓
Elements of algebraic geometry	049AA	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓
Elements of Mathematical Logic	050AA
Elements of celestial mechanics	051AA	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓
Elements of probability and statistics	052AA	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓
Elements of Set Theory	053AA	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓
Elements Of Representation Theory	0046A										✓
Elements of algebraic topology	054AA	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓
Partial differential equations	545AA	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓
Partial differential equations 2	553AA
Equations of fluid mechanics	554AA					✓	✓			✓
Ordinary differential equations	108AA
Stochastic differential equations and applications	555AA		✓			✓			✓
Elliptic equations	109AA	✓	✓	✓	✓	✓	✓		✓	✓
Hyperbolic equations	556AA
Parabolic equations	557AA
Financial Mathematics	110AA	✓		✓	✓		✓
Physics I with laboratory	241BB	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓
Physics II	242BB	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓
Physics III	243BB	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓
Math Physics	111AA		✓		✓		✓	✓	✓	✓	✓
Foundations of mathematics	112AA
Fundaments of programming with laboratory	017AA	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓
Modular forms	113AA					✓
L functions	807AA
Holomorphic functions and analytic sets	0018A
Special functions	114AA
Geometry 1	614AA	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓
Geometry 2	511AA	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓
Complex Algebraic Geometry	0050A										✓
Geometry of metric spaces	121AA
Contact geometry	122AA
Complex differential geometry	123AA							✓	✓	✓	✓
Complex Analysis and Geometry	0019A									✓
Geometry and topology of surfaces	124AA
Differential geometry and topology	055AA	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓
Hyperbolic geometry	125AA						✓		✓		✓
Real geometry A	126AA
Real geometry B	127AA
Real geometry C	128AA
Computational real geometry	129AA
Riemannian geometry	130AA								✓	✓	✓
Symplectic geometry	131AA
Toric Geometry	0051A
Linear algebraic groups	705AA									✓
Coxeter Groups	132AA								✓
Galois Groups And Fundamental Groups	0052A										✓
Scientific English	013ZW	✓	✓	✓	✓	✓	✓	✓	✓	✓
Introduction to quantum mechanics	018BB
Introduction to Computational Statistics	0020A
Introduction to geometric measure theory	609AA
Introduction to p-adic analysis	133AA
Introduction to Stochastic PDEs	0028A
Principles of algebra	769AA							✓	✓	✓	✓
Principles of mathematical analysis	770AA							✓	✓	✓	✓
Principles of numerical analysis	772AA							✓	✓	✓	✓
Principles of mathematics education	771AA							✓	✓	✓	✓
Fundamentals of mathematical physics	774AA							✓	✓	✓	✓
Principles of geometry	768AA							✓	✓	✓	✓
Principles of probability	773AA							✓	✓	✓	✓
Computational laboratory	058AA	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓
Physics lab for teaching	247BB	✓	✓
Introductory Computational Mathematics Lab	1993Z						✓	✓	✓	✓	✓
Laboratory for automatic verification of proofs	0021A
Experimental laboratory of computational mathematics	062AA	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓
Programming languages with laboratory	063AA	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓
Mathematical Logic	064AA		✓	✓	✓	✓	✓	✓	✓	✓	✓
Discrete mathematics	139AA
Mathematics and music	140AA
Elementary mathematics from an advanced standpoint: arithmetic	065AA	✓			✓	✓		✓		✓
Elementary mathematics from an advanced standpoint: geometry	066AA				✓	✓	✓		✓		✓
Celestial mechanics	142AA		✓							✓
Continuous mechanics	143AA
Rational mechanics	575AA	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓
Relativistic mechanics	581AA
Space mechanics	144AA			✓		✓				✓
Advanced mechanics	145AA	✓		✓		✓		✓	✓	✓	✓
Methods of harmonic analysis in nonlinear analysis	775AA						✓
Operational research and communication and transport nets	611AA
Mathematical methods in Cryptography	147AA					✓			✓
Mathematical Methods Of Quantum Mechanics	0053A										✓
Numerical Methods For Markov Chains And Complex Networks	0058A
Numerical methods for partial differential equations	795AA								✓	✓
Numerical Methods for Ordinary Differential Equations	067AA	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓
Numerical Methods For Matrix Functions	0056A
Tensor Numerical Methods	0060A										✓
Numerical Methods For Optimal Control	0059A										✓
Numerical methods for graphics.	149AA			✓	✓	✓	✓	✓	✓	✓
Numerical Methods For Inverse Problems	0055A										✓
Numerical Methods For Model Order Reduction	0054A
Randomized Algorithms For Numerical Linear Algebra	0061A										✓
Topological methods in the global analysis	068AA	✓	✓	✓	✓	✓	✓	✓
Topological methods for differential equations	151AA
Mathematical Models And Their Numerical Simulation	0057A
Mathematical models in biomedicine and mathematical physics	559AA		✓	✓				✓	✓	✓	✓
Mathematical models in biomedicine and mathematical physics	152AA
Differential operators and index theorems	155AA
Origins and development of modern mathematics	156AA	✓		✓					✓
Nonlinear Optimization	0047A										✓
Stochastic optimization	0029A
Probability	070AA	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓
Advanced probability	560AA	✓			✓			✓
Problem solving	166AA
Evolution problems	168AA
Problems and methods in Mathematics Education Research	612AA		✓	✓			✓	✓	✓
Problems and methods in history of mathematics	613AA					✓		✓
p-adic Galois respresentations	781AA
Operational research	072AA	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓
Scientific Writing in English	1226Z
Dynamical systems	074AA	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓
Random Dynamical Systems	0062A										✓
Discrete dynamical systems	171AA
Functional spaces	172AA
Sobolev spaces	794AA							✓	✓
Symmetric spaces	185AA
Mathematical statistics	075AA	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓
Hystory of Mathematics	076AA	✓	✓	✓	✓	✓	✓	✓	✓	✓
History of ancient mathematics and its tradition	186AA		✓		✓		✓
Algebraic Surfaces	0063A
Riemann Surfaces And Algebraic Curves	0064A										✓
Minimal Surfaces	187AA
Technologies for education	201AA	✓	✓	✓	✓	✓		✓
Algebraic number theory 1	077AA		✓		✓			✓			✓
Algebraic number theory 2	202AA			✓		✓			✓
Algebraic number theory 3	706AA
Analytic number theory A	204AA	✓				✓		✓
Analytic number theory B	205AA			✓
Set Theory A	767AA						✓
Set Theory B	778AA								✓
Scheme Theory	0065A
Field and Galois theories	078AA			✓			✓			✓
Coding theory	209AA
Coding theory and cryptography	079AA			✓
Automated control theory	210AA
Game theory	211AA		✓	✓	✓	✓	✓	✓		✓	✓
Group theory	212AA
Model Theory	213AA	✓			✓
Knot theory A	746AA					✓		✓		✓
Knot theory B	747AA
Elementary number theory	080AA		✓		✓		✓		✓
Semigroup theory	215AA
Optimal control theory	216AA
Optimal control theory	0030A
Pluripotential theory and positive currents	0024A
Computability Theor	217AA
Proof theory	218AA
Measure theory	219AA									✓	✓
Category theory	220AA				✓						✓
Theory of functions	221AA
Representation Theory A	0023A										✓
Descriptive complexity theory	222AA
Ergodic theory	224AA					✓		✓		✓
Geometric measure theory	225AA	✓			✓			✓
Theories in Mathematics education	806AA
Algebraic topology A	777AA							✓			✓
Algebraic topology B	766AA						✓			✓
Differential topology	227AA			✓			✓	✓
Low-dimensional topology and geometry	228AA				✓						✓
General topology	229AA
Ultrafilters and nonstandard methods	230AA			✓					✓
Abelian Varieties	0066A
Higher-Dimensional Algebraic Varieties	0067A