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First year
During the first two years of study, you will master the mathematical foundation necessary for studying physics. You will also take a comprehensive general physics course.
Real and Complex Calculus I, II
A fundamental course that lays the groundwork for understanding infinitesimals, functions, and integrals. You will master the mathematical logic required to describe any process—from the motion of planets to the behavior of elementary particles.
Total: 390 hours (including 75 lecture hours).
Introduction to Information Technology
The first step into the world of digital tools in modern science. You will learn how to effectively use computer systems to organize research and present scientific results.
Total: 120 hours (including 30 lecture hours).
Analytic Geometry and Linear Algebra
This discipline studies the properties of geometric figures and vector spaces through algebraic equations. It is the language of vectors and matrices, without which modern quantum mechanics or computer graphics would be unimaginable.
Total: 240 hours (including 60 lecture hours).
Differential and Integral Equations I
This course focuses on methods for solving equations that describe the dynamics of systems in time and space. You will learn to build mathematical models of real physical phenomena: from string vibrations to heat propagation.
Total: 120 hours (including 28 lecture hours).
General Physics I, II
A comprehensive introduction to all branches of physics—from mechanics to nuclear physics. This is the foundation that shapes your physical picture of the world and prepares you for highly specialized theoretical disciplines.
In your first year, you will study Mechanics, Thermodynamics, Electrodynamics, and Optics.
Total: 390 hours (including 45 lecture hours and 88 hours of laboratory practice).
Programming
Mastering basic algorithms and programming languages is a critically important skill for a modern researcher. You will learn to write code to automate calculations and model physical systems.
Total: 120 hours (including 30 lecture hours).
Mathematical Foundations of Numerical Methods
A course on how to translate complex mathematical formulas into computer-readable algorithms. You will study methods of numerical integration and solving equations that lack analytical solutions.
Total: 120 hours (including 30 lecture hours).
Humanities
Humanities are essential for shaping a modern, broadly educated scientist. In your first year, you will study the English Language (240 hours in total) and Introduction to University Studies (60 hours in total).
Second Year
In the second year, you will continue building the necessary mathematical foundation while introducing theoretical physics courses.
Real and Complex Calculus III
A fundamental course that lays the groundwork for understanding infinitesimals, functions, and integrals. You will master the mathematical logic required to describe any process—from the motion of planets to the behavior of elementary particles.
Total: 120 hours (including 28 lecture hours).
Differential and Integral Equations II
This course focuses on methods for solving equations that describe the dynamics of systems in time and space. You will learn to build mathematical models of real physical phenomena: from string vibrations to heat propagation.
Total: 120 hours (including 28 lecture hours).
Partial Differential Equations
This discipline focuses on complex equations where variables depend on multiple factors simultaneously. These very methods allow for the description of electromagnetic waves, quantum states, and hydrodynamic flows.
Total: 120 hours (including 30 lecture hours).
Tensor Calculus
The study of multidimensional objects that preserve their properties when coordinate systems change. This is the key mathematical framework for mastering general relativity and continuum mechanics.
Total: 120 hours (including 28 lecture hours).
Special Functions in Theoretical Physics
The study of Bessel, Legendre, and other functions that arise when solving physical problems in spherical or cylindrical coordinates. This knowledge is essential for the precise calculation of fields, potentials, and wave processes.
Total: 90 hours (including 30 lecture hours).
Classical Mechanics
An in-depth study of the laws of motion for macroscopic bodies based on Lagrangian and Hamiltonian principles. You will learn to describe complex systems using energy-based approaches, serving as a bridge to quantum theory.
Total: 240 hours (including 60 lecture hours).
Classical Electrodynamics I
The study of the nature of electric and magnetic fields based on Maxwell's equations. This course explains how light propagates and how charged particles interact in the classical approximation.
Total: 120 hours (including 30 lecture hours).
Computational Software Packages in Theoretical Physics
A practical introduction to powerful systems (such as Wolfram Mathematica or Python libraries) for analytical calculations. You will learn to delegate cumbersome derivations to the computer, allowing you to focus on the physics of the process itself.
Total: 180 hours (including 30 lecture hours).
Probability Theory and Mathematical Statistics
The study of patterns in random phenomena and methods for processing large datasets. You will learn to draw reliable conclusions under conditions of uncertainty, which is critical for any experiment or forecast.
Total: 120 hours (including 30 lecture hours).
General Physics III
A comprehensive introduction to all branches of physics—from mechanics to nuclear physics. This is the foundation that shapes your physical picture of the world and prepares you for highly specialized theoretical disciplines.
In your second year, you will study Atomic and Nuclear Physics.
Total: 180 hours (including 14 lecture hours and 44 hours of laboratory practice).
Astronomy
The application of physical laws to objects on the scale of the Universe. You will learn about stellar evolution, galactic structure, and methods of observing deep space.
Total: 90 hours (including 30 lecture hours).
Humanities
Humanities are essential for shaping a modern, broadly educated scientist. In your second year, you will study the English Language (120 hours in total) and Ukrainian and Foreign Culture (90 hours in total).
Third Year
In the third year, specialized courses are introduced. These are primarily mathematical courses where you will study relatively modern mathematics necessary for the study of advanced theoretical physics.
Quantum Mechanics
The "Holy Grail" of a modern theoretical physicist. In this course, you will learn how the Universe is structured at its most fundamental level and acquire the foundation necessary for understanding quantum field theory.
Total: 240 hours (including 60 lecture hours).
Classical Electrodynamics II
The study of the nature of electric and magnetic fields based on Maxwell's equations. This course explains how light propagates and how charged particles interact in the classical approximation.
Total: 120 hours (including 30 lecture hours).
Thermodynamics and Statistical Physics I
The study of systems consisting of a vast number of particles through the concepts of entropy and probability. This course explains how the microscopic motion of molecules gives rise to macroscopic concepts such as temperature and pressure.
Total: 120 hours (including 30 lecture hours).
Mathematical Methods of Theoretical Physics
This course brings together the most powerful mathematical tools, such as Fourier transforms and operational calculus. It is the "Swiss Army knife" of a theoretical physicist for solving the most complex analytical problems.
Total: 90 hours (including 28 lecture hours).
Asymptotic Methods in Theoretical Physics
The art of finding approximate solutions to complex equations when exact methods fail. The course teaches how to isolate the main physical effects under extreme conditions, such as at ultra-high energies.
Total: 90 hours (including 28 lecture hours).
Computational Software Packages in Theoretical Physics
A practical introduction to powerful systems (such as Wolfram Mathematica or Python libraries) for analytical calculations. You will learn to delegate cumbersome derivations to the computer, allowing you to focus on the physics of the process itself.
Total: 90 hours (including 28 lecture hours).
Neural Networks
An introduction to modern machine learning and artificial intelligence. You will learn how to apply neural network architectures to analyze complex data and discover new patterns in physics.
Total: 90 hours (including 14 lecture hours).
General Relativity
You will master the modern theory of gravity, which describes the Universe as curved four-dimensional spacetime. The course opens the door to understanding the nature of black holes, gravitational waves, and the evolution of the entire cosmos.
Total: 120 hours (including 30 lecture hours).
Research Methods in Astrophysics and Cosmology
You will learn how to decode signals from the distant universe using mathematical models and observations. This discipline teaches how to analyze the cosmic microwave background and galactic structures to test cosmological theories.
Total: 120 hours (including 30 lecture hours).
Functional Analysis
The study of infinite-dimensional spaces, which are the natural home for the states of quantum systems. This mathematical language allows for rigorous proofs of the fundamental principles of quantum mechanics and field theory.
Total: 90 hours (including 14 lecture hours).
Theoretical Foundations of Quantum Computing
This course is dedicated to the logic of the future—using quantum superposition and entanglement to solve problems inaccessible to classical computers. You will study the mathematical architecture of quantum systems and the basic principles of qubit operation.
Total: 90 hours (including 14 lecture hours).
Relativistic Quantum Mechanics
The synthesis of the principles of quantum theory and relativity, leading to the prediction of antimatter and spin. You will study the Dirac and Klein-Gordon equations, which describe the motion of fast-moving particles.
Total: 90 hours (including 14 lecture hours).
Quantum Mechanics via Path Integrals
Mastering Feynman's alternative approach to quantum mechanics, where a particle travels along all possible paths simultaneously. This is a powerful tool that has become the standard in modern high-energy physics and statistical mechanics.
Total: 90 hours (including 14 lecture hours).
Lie Group Methods in the Standard Model of Particle Physics
You will learn how symmetries determine the laws of nature and the existence of elementary particles. The course explains the internal structure of the Standard Model—the most precise theory of the microcosm to date.
Total: 90 hours (including 14 lecture hours).
Humanities
Humanities are essential for shaping a modern, broadly educated scientist. In your third year, you will study the English Language (120 hours in total) and Life Safety with Fundamentals of Ecology (60 hours in total).
Fourth Year
In the fourth year of study, you will work on your thesis. The curriculum also introduces specialized courses in theoretical physics, particularly quantum field theory.
Bachelor's Thesis
During your thesis work, you will have the opportunity to tackle a current research problem in theoretical physics that has captured your interest over the past four years.
Total: 120 hours.
Thermodynamics and Statistical Physics II
The study of systems consisting of a vast number of particles through the concepts of entropy and probability. This course explains how the microscopic motion of molecules gives rise to macroscopic concepts such as temperature and pressure.
Total: 120 hours (including 28 lecture hours).
Introduction to Quantum Field Theory
The pinnacle of modern theoretical physics, which treats particles as excitations of fundamental fields. This is the foundation for understanding high-energy physics and the Standard Model of interactions.
Total: 120 hours (including 28 lecture hours).
Physical Kinetics
The description of non-equilibrium processes: heat transfer, diffusion, and conductivity. This discipline teaches how systems return to equilibrium and how particle collisions occur in gases and plasmas.
Total: 120 hours (including 28 lecture hours).
Quantum Electrodynamics
The most precise theory in the history of science, describing the interaction of light and matter. You will learn to construct Feynman diagrams and calculate quantum corrections with incredible precision.
Total: 210 hours (including 42 lecture hours).
Scattering Theory
The primary method for studying the microcosm through particle collisions in accelerators. You will learn to calculate interaction probabilities that allow us to "see" the structure of matter at the subnuclear level.
Total: 120 hours (including 40 lecture hours).
Quantum Computing and Information
You will master fundamental algorithms of quantum speedup and methods for secure data transmission. This is a cutting-edge field that bridges the deep physics of the microcosm with information theory.
Total: 90 hours (including 14 lecture hours).
Gauge Theories
A fundamental course on the nature of all physical interactions—from electromagnetism to strong nuclear forces. You will understand how local symmetries generate the fields that hold the Universe together.
Total: 120 hours (including 40 lecture hours).
Theory of Electroweak Interactions
A course on the unification of electromagnetism and the weak force, which is responsible for particle decay and stellar burning. You will study the Higgs mechanism and the origin of mass in our Universe.
Total: 90 hours (including 14 lecture hours).
Quantum Field Theory Methods in Condensed Matter Physics
The application of the powerful machinery of particle physics to describe superconductivity and magnetism in solids. You will see how ideas from cosmology and high-energy physics help create the materials of the future.
Total: 90 hours (including 14 lecture hours).
High-Energy Astrophysics
The study of the Universe's most extreme objects: pulsars, active galactic nuclei, and supernova explosions. You will understand the physics of processes where particles are accelerated to near-light speeds.
Total: 90 hours (including 14 lecture hours).
Exactly Integrable Systems in Quantum Field Theory
The study of special models that possess elegant mathematical solutions and allow us to observe non-perturbative effects. The course develops deep intuition regarding the behavior of complex quantum systems beyond standard approximations.
Total: 120 hours (including 30 lecture hours).
Physical Foundations of Quantum Information
This discipline explains how to realize quantum systems in hardware, using photons, ion traps, or superconductors. You will learn about the physical limitations and the prospects of building a real quantum processor.
Total: 90 hours (including 14 lecture hours).
Humanities
Humanities are essential for shaping a modern, broadly educated scientist. In your fourth year, you will study the English Language (30 hours in total), Socio-Political Studies (60 hours in total), and Selected Topics in Labor Law and Fundamentals of Entrepreneurship (90 hours in total).
The program is accredited with an "exemplary" distinction.
First Year
Throughout your Master's studies, you will delve into various areas of theoretical physics: from advanced topics in quantum field theory to modern research in cosmology.
Electroweak Interactions
You will learn how symmetries determine the laws of nature and the existence of elementary particles within the framework of quantum field theory. The course explains the mathematical structure of the Standard Model—the most precise theory of the microcosm to date.
Total: 90 hours.
Quantum field-theoretical methods in condensed matter theory
The course introduces advanced quantum field theory techniques, such as Green's functions and path integrals, applied to many-body systems. It focuses on the theoretical description of collective phenomena like superconductivity and superfluidity.
Total: 90 hours. (The course is taught in English).
Advanced Topics in Condensed Matter Theory
The study of modern aspects of condensed matter physics, including the theory of quantum phase transitions and topological insulators. Special attention is paid to modeling the properties of strongly correlated electron systems.
Total: 90 hours.
Advanced Topics in High-Energy Astrophysics
This course is dedicated to investigating physical processes in the most energetic objects in the Universe: active galactic nuclei and supernova remnants. It analyzes the mechanisms of generation and propagation of ultra-high-energy cosmic rays.
Total: 90 hours.
Quantum Chromodynamics
The study of the theory of strong interactions and the dynamics of quark-gluon fields based on SU(3) symmetry. The phenomena of asymptotic freedom, color confinement, and perturbative calculation methods in QCD are discussed.
Total: 90 hours.
Lattice Spin and Gauge Models
This discipline introduces non-perturbative methods of quantum field theory through spacetime discretization. Algorithms for the numerical modeling of complex systems and phase transitions in lattice models are studied.
Total: 90 hours.
Methodology and Organization of Scientific Research with Fundamentals of Intellectual Property
The discipline covers the principles of planning scientific work, information search methodology, and standards for presenting research results. Legal aspects of copyright protection and intellectual property in the scientific field are discussed.
Total: 90 hours.
Professional and Corporate Ethics
The course is aimed at studying the ethical norms of the scientific community, principles of academic integrity, and the culture of professional communication. It addresses the scientist's responsibility to society and the rules of ethical behavior in research groups.
Total: 90 hours.
Second Year
In the second year, alongside specialized courses, you will work on your Master's thesis, during which you will tackle current problems in modern physics. Based on the research results, papers are published in top-tier (Q1-Q2) international journals.
Master's Thesis
The final stage of study, which involves conducting an independent theoretical research project on a current problem in modern physics. The results of the work are presented as a dissertation and defended before a committee.
Total: 360 hours.
Quantum Effects in External Fields
Investigates the behavior of quantum systems in strong electromagnetic and gravitational fields. Covers vacuum polarization effects, particle creation, and radiative corrections under extreme conditions.
Total: 180 hours.
Extensions of the Standard Model
The course analyzes the theoretical limitations of the Standard Model and proposes ways to overcome them through supersymmetry, Grand Unified Theories, and models with extra dimensions. Dark matter candidates are also discussed.
Total: 90 hours.
Astrophysics
The study of the physical laws governing the structure and evolution of stars, galaxies, and the Universe. The course covers observational astronomy methods and theoretical models of stellar dynamics.
Total: 90 hours.
Anomalies in Gauge Theories
This discipline is dedicated to investigating quantum effects that lead to the violation of classical symmetries. It examines the impact of anomalies on the self-consistency conditions of elementary particle theories.
Total: 180 hours.
Nonlinear Physics and Synergetics
The study of general patterns of self-organization processes in complex systems of various natures. Analyzes nonlinear phenomena, dynamical chaos, and soliton solutions in field physics models.
Total: 90 hours.
Experimental Astroparticle Physics
The course provides an overview of experimental techniques used to detect high-energy particles from space. It covers the physics of neutrino telescopes, gamma-ray observatories, and gravitational-wave detectors.
Total: 90 hours. (The course is taught in English).
Black Hole Physics
Investigates the fundamental properties of black holes within general relativity and quantum field theory. Covers black hole thermodynamics, Hawking radiation, and tidal effects.
Total: 90 hours.
Exactly Integrable Systems in Quantum Field Theory
The study of mathematical methods for finding exact solutions in quantum models, primarily in two-dimensional spacetime. The course covers the algebraic Bethe ansatz and the fundamentals of conformal field theory.
Total: 180 hours.
Physics of Massive Neutrinos
This discipline focuses on the properties of neutrinos beyond the Standard Model, particularly their masses and oscillations. It analyzes the role of neutrinos in the evolution of the Universe and modern experiments dedicated to their study.
Total: 90 hours.
Research and Industrial Internship in Quantum Field Theory and Cosmology
Students are engaged in direct scientific activities in laboratories or research institutes. The internship fosters the mastery of modern methods of theoretical calculations and software modeling.
Total: 90 hours.
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