# Bachelor degree (syllabi)

**4th Year**

Asymptotic Methods in Mathematics | Elective (Fall Term) | ||||||||||||||||||||||

Additional Topics in Functional Analysis | Elective (Fall Term) | ||||||||||||||||||||||

Mathematical Statistics | Mandatory (Fall Term) | ||||||||||||||||||||||

Topics in Complex Analysis | Elective (Fall Term) | ||||||||||||||||||||||

Riemannian Geometry | Elective (Fall Term) | ||||||||||||||||||||||

Mathematical Models of Physics | Mandatory (Fall Term) | ||||||||||||||||||||||

Equations of Mathematical Physics | Mandatory (Fall+Spring Term) | ||||||||||||||||||||||

Lie Algebras | Elective (Spring Term) | ||||||||||||||||||||||

Geometry of Submanifolds | Elective (Spring Term) | ||||||||||||||||||||||

Introduction to Inverse Spectral Problems | Elective (Spring Term) | ||||||||||||||||||||||

Sobolev Spaces and Theory of Unbounded Operators | Elective (Spring Term) | ||||||||||||||||||||||

Numerical Methods | Elective (Spring Term) | ||||||||||||||||||||||

Symbolic Computation and Modeling | Elective (Spring Term) |

**3d Year**

Measure Theory and Integration | Mandatory (Fall Term) | ||||||||||||||||||||||

Differential Geometry | Mandatory (Fall Term) | ||||||||||||||||||||||

Fourier Series and Fourier Transform | Elective (Fall Term) | ||||||||||||||||||||||

Dynamical Systems | Elective (Fall Term) | ||||||||||||||||||||||

Complex Analysis | Mandatory (Fall+Spring Term) | ||||||||||||||||||||||

Probability Theory | Mandatory (Fall Term) | ||||||||||||||||||||||

Functional Analysis | Mandatory (Spring Term) | ||||||||||||||||||||||

Differential Geometry II | Elective (Spring Term) | ||||||||||||||||||||||

Elements of Stability Theory and Delay Differential Equations | Elective (Spring Term) | ||||||||||||||||||||||

Operator Theory | Elective (Spring Term) | ||||||||||||||||||||||

Abstract Algebra | Mandatory (Spring Term) |

**2nd Year**

Geometric Transforms | Elective (Fall Term) | ||||||||||||||||||||||

Linear Algebra | Mandatory (Fall Term) | ||||||||||||||||||||||

Graph Theory | Elective (Fall Term) | ||||||||||||||||||||||

Topology | Mandatory (Fall Term) | ||||||||||||||||||||||

Mathematical Analysis | Mandatory (Fall+Spring Term) | ||||||||||||||||||||||

Dynamics in Mathematics | Elective (Spring Term) | ||||||||||||||||||||||

Classical Problems of Geometry | Elective (Spring Term) |

**1st Year**

Elements of Algebra and Number Theory | Mandatory (Fall Term) | ||||||||||||||||||||||

Analytic Geometry | Mandatory (Fall+Spring Term) | ||||||||||||||||||||||

Mathematical Analysis | Mandatory (Fall+Spring Term) | ||||||||||||||||||||||

Discrete Mathematics | Mandatory (Spring Term) | ||||||||||||||||||||||

Linear Algebra | Mandatory (Spring Term) |

__List of Elective Bachelor Degree Courses__

Classical Problems of Geometry

Dynamics in Mathematics

Graph Theory

Geometric Transforms

Operator Theory

Elements of Stability Theory and Delay Differential Equations

Fourier Series and Fourier Transform

Symbolic Computation and Modeling

Sobolev Spaces and Theory of Unbounded Operators

Introduction to Inverse Spectral Problems

Selected Chapters of Complex Analysis

Additional Topics in Functional Analysis

Asymptotic Methods in Mathematics