Duration: 15 weeks, 400 academic hours of class and independent work
Academic value: 10 credits for class work and for independent study
Time: a flexible timetable developed together and with consideration of the student’s convenience and preferences.
The working languages (instruction languages): English, Russian.

1. 3D modeling in Russian CAD system Kompas 3D and in SolidWorks both.
Duration: 15 weeks, 108 academic hours of class and independent work
Academic value: 2 credits (1 credit for class work, 1 credit for independent study)
Frequency: 2 days per week, 2 academic hours (45 min. x 2) per day.
Time a flexible timetable developed together and with consideration of the student’s convenience and preferences.

Every week, 2 academic hours are allotted to the course in SolidWorks programme and 2 academic hours are allotted to the course in Kompas 3D system. As a result, students get the experience of designing three-dimensional models of very complex shapes, almost independently of the software used.
Students get the experience in:
• designing from simple parts to complex products;
• designing complex structures from a large number of parts;
• creating blueprints in accordance with ISO standards and design documentation;
• creating an assembly of a designed product.

2. Additive technologies (3d printing).
Duration: 15 weeks, 50 academic hours of class and independent work
Academic value: 1 credit (1 credits for class work and independent study)
Frequency: 1 day per week, 2 academic hours (45 min. x 2) per day.
Time: a flexible timetable developed together and with consideration of the student’s convenience and preferences.

The course teaches the fundamentals of additive technologies. Students get the experience of creating and editing 3D models, preparing models for manufacturing with the use of additive technologies. Students get experience with additive equipment in terms of setting up the machines, their refinement or modernization.

3. Laser technologies.
Duration: 15 weeks, 50 academic hours of class and independent work
Academic value: 1 credit (1 credit for class work and independent study)
Frequency: 1 day per week, 2 academic hours (45 min. x 2) per day.
Time: a flexible timetable developed together and with consideration of the student’s convenience and preferences.

The course encompasses studies of modern software tools for working with laser equipment and preparing materials for cutting, as well as methods and means for designing products, methods and technologies for assembling structures. At the end of the course, students design and manufacture the final product on a laser machine.

4. Creation programs for cnc.
Duration: 15 weeks, 60 academic hours of class and independent work
Academic value: 2 credits (1 credit for class work, 1 credit for independent study)
Frequency: 1 day per week, 2 academic hours (45 min. x 2) per day.
Time: a flexible timetable developed together and with consideration of the student’s convenience and preferences.

This course includes the theoretical foundations of programming CNC-controlled machines. Acquired knowledge is applied in practice – i.e. creating a control programme and testing it in a simulator. The course also teaches the fundamentals of setup, adjustment and commissioning of machines.

5. Rapid electronics boards production.
Duration: 15 weeks, 60 academic hours of class and independent work
Academic value: 2 credits (1 credit for class work, 1 credit for independent study)
Frequency: 1 day per week, 2 academic hours (45 min. x 2) per day.
Time: a flexible timetable developed together and with consideration of the student’s convenience and preferences.

The course encompasses the basic knowledge necessary for designing electronics boards and rapid production.
The students will receive skills of designing electronic boards, witness the full production cycle from a circuit to a finished product, get acquainted with the equipment and learn to use it for rapid production of electronic boards.

6. Creation items from composite materials.
Duration: 15 weeks, 72 academic hours of class and independent work
Academic value: 2 credits (2 credits for class work and independent study)
Frequency: 1 day per week, 2 academic hours (45 min. x 2) per day.
Time: a flexible timetable developed together and with consideration of the student’s convenience and preferences.

The course includes the necessary theory and practice of designing and creating products from composite materials.
The students will study:
• construction materials;
• engineering tools;
• methods of creating composite products.
At the end of the course, students will design and create a composite product of choice.

As part of the course, students will learn the following skills:
Development of 3D models;
Development in Unity3D;
Development under HTC Vive;
The basics of game design;
The basics of leve-design;
The basic mechanics of interacting with VR
Development of AR applications (ARKit, ARCore);
- and more
The training will disassemble the full development cycle, starting with the idea, finding options for using virtual and augmented reality technologies to solve the problem, to distribution options created Product.

Students of the course will master the object, structural, process approaches to business process modeling, and appropriate software tools. Get acquainted with the basic concepts of business analysis and reengineering of business processes.
The listeners will master:
• The instrumental environment for modeling and analyzing business-processes ARIS;
• Modeling a company's strategic management system using the ARIS BSC tool environment;
• Reporting, analytics and event and performance monitoring tools provided by IBM's Cognos Business Intelligence Integrated Business Intelligence Package;
• The ability to use state-of-the-art big data management tools for business analysis and knowledge management.

The lecture course consists of two main parts. In the first part the basic objects and rules of Quantum Field Theory (QFT) is introduced which will further used for construction of the Standard Model (SM). In the second part the SM is described in detail. Its particle content and the main principles of its construction are presented. Critical historical steps of the SM development are shown. The Lagrangian of the model is derived and discussed. Phenomenology and high-precision tests of the model are overviewed. The present status, problems, and prospects of the SM are summarized. Some useful exercises and questions are given for students in each lecture.

CONTENTS
The QFT part:
1. Free fields in QFT.
2. Propagators and interactions. Feynman rules.
3. Divergences and their regularization.
4. Renormalization.

The Standard Model part:
1. Global and local symmetries of the Standard Model (SM). The field content of the SM.
2. The Fermi model of weak interactions. The unitarity limit.
3. Abelian and non-abelian gauge symmetries of the SM.
4. The Landau poles in QED and QCD. Running coupling constants. Asymptotic freedom.
5. The structure of weak currents. The Cabbibo-Kobayashi-Maskawa quark mixing matrix.
6. CP violation in the SM. The basics of flavor physics.
7. Spontaneous symmetry breaking. The Goldstone theorem. The Brout-Englert-Higgs mechanism in the abelian and SM cases.
8. Derivation of the SM Lagrangian.
9. Chiral anomalies in the SM. The hierarchy (naturalness) problem.
10. Breaking of the conformal symmetry and dimensional transmutation.
11. Precision tests of the SM in modern experiments.
12. Possible extension of the SM and searches for new physics.

The course consists of 17 lectures. Students will have also to complete a project: perform a study of a specific problem in the field of the Standard Model.

Requirements for Students:
- basic knowledge in Special Relativity;
- basic knowledge in Quantum and Classical Mechanics;
- basic knowledge in Calculus and Group theory.

CONTENTS

Part 1. Gauge Fields

1. Relativistic invariant energy description, s variable, GZK bound
2. Variables s,t,u; crossing invariance
3. Feynman diagrams. Vertices, propagators and external lines.
4. Feynman diagrams for scattering and annihilation of leptons
5. Dirac equation and matrices,
6. Feynman rules for QED. Compton effect.
7. Squaring of matrix elements summation and averaging over polarisations.
8. Quarks in hadrons. Isospin оf hadrons and quarks. Evidences for colour.
9. Interaction of quarks and gluons Gell-Mann matrices.
10. Fierz identity. Planar diagrams, 1/N expansion
11. Casimir operators in fundamental and adjoint representations.
12. Gauge invariance in momentum space. Transversality of Compton amplitude in QED
13. Transversality of quark-gluon Compton amplitude. Self-interactions of gluons.
14. Calculation of imaginary part of polarization operator in QED.
15. Dispersion relations. Subtractions.
16. Dispersion relations, regularization and renormalization.
17. Effective coupling in QED.
18. Renormalization group.
19. Effective coupling in QCD. Asymptotic freedom.
20. Normalization and ɅQCD
21. α-representation. Asymptotics of scattering amplitudes.QCD factorization.
22. Electron-positron annihilation to hadrons. Strings, jets. R-ratio.
23. Borel transform.
24. QCD sum rules and quark hadron duality.
25. Quark and gluon condensates.
26. Deep-Inelastic scattering. Factorization for Deep-Inelastic scattering. Twist.
27. Moments. Parton distributions.
28. Hadronic tensor and structure functions. Callan-Gross relation.
29. Conserved operators. Sum rules.
30. Charge and momentum sum rules for nucleons.
31. Infrared and collinear divergencies.
32. Evolution of parton distributions.
33. Evolution of moments, multiplicative renormalization.
34. Evolution kernel, “+’-prescription.
35. Kinetic interpretation, master (gain-loss) equation.
36. Mixing. QCD fits.
37. Drell-Yan process. Hadronic production of Higgs bosons.
38. Bohm-Aharonov effect. Magnetic flux quantization.
39. Magnetic monopole. Dirac string and its physical interpretation. Magnetic charge quantization.
Duality of electric and magnetic fields.
40. Independence of magnetic field strength on the string direction.
41. String directions and gauge transformations.
42. Axial anomaly as a Landau levels flow.
43. Axial anomaly and dispersion relations.
44. Pion decay and t’Hooft principle.
45. Topological charge and instantons.
46. Chiral magnetic and vortical effects. Anomalous transport.

Part 2. Introduction to Supersymmetry

1. The Standard Model of fundamental interactions. Its success, puzzles and drawbacks.
2. Grand Unification theories. Motivations for supersymmetry in particle physics.
3. Supersymmetry transformations. Supersymmetry algebra and its consequences.
4. N=1 supersymmetry. Superspace and superfields. Chiral superfields. Wess-Zumino model.
5. Vector superfields. N=1 supersymmetric Yang-Mills theory.
6. N=1 supersymmetric Yang-Mills theory with matter. Superpotential. Scalar potential in supersymmetric theories.
7. Spontaneous supersymmetry breaking. O’Raifertaigh mechanism. Fayet-Iliopoulos mechanism.
8. The Minimal supersymmetric Standard Model (MSSM). Superpartners. R-parity. Supersymmetry breaking in the MSSM. Soft supersymmetry breaking.
9. Parameter space of the MSSM. Constrained MSSM. MSSM predictions for colliders.
10. Higgs bosons in the MSSM. The lightest Higgs boson mass (tree level and radiative corrections). Radiative electroweak symmetry breaking in the MSSM.
11. Non-mimimal supersymmetric extensions of the Standard Model. Models with extended Higgs sector. Models with R-parity violation. Models with other mechanisms of supersymmetry breaking. Supersymmetric Grand Unification theories.
12. Supersymmetry searches in collider experiments. Superpartner creation and decay channels.
13. Supersymmetry in rare process. Searches for supersymmetry in non-accelerator experiments. Supersymmetric Dark Matter.