# LOBACHEVSKY GEOMETRY.
# TWO- AND THREE-DIMENSIONAL TOPOLOGY. MANIFOLDS.
    EMBEDDINGS AND IMMERSIONS. WHITNEY'S THEOREM.
# CELLULAR AND SIMPLICIAL SPACES. COVERINGS.
    DEGREE OF A MAP. FUNDAMENTAL GROUP.
# HOMOLOGY AND METHODS OF COMPUTATION.
# MORSE THEORY, CRITICAL POINTS OF SMOOTH FUNCTIONS AND
    TOPOLOGY OF MANIFOLDS. THE LYUSTERNIK-SHNIRELMAN CATEGORY.
# ELEMENTS OF LIE GROUP THEORY. APPLICATIONS TO PHYSICS.
# SYMPLECTIC GEOMETRY ON SURFACES.
# HAMILTONIAN DYNAMICAL SYSTEMS.
# SYMPLECTIC TOPOLOGY AND INTEGRATION OF DIFFERENTIAL EQUATIONS.

No special background is assumed. In addition, a proseminar for the first and second years is being opened (led by D.P. Ilyutko, PhD, A.Yu. Konyaev, Dr.Sci., V.A. Kibkalo, PhD, and G.V. Belozerov, PhD), where the topics of the special course will also be discussed. The time and room of the proseminar will be announced shortly. The course may be taken either as a full-year course or by semesters, as two half-year courses. Brief notes on some topics are available on the website of the Department of Differential Geometry and Applications dfgm.math.msu.su in the "Special courses" section.