7M05402 Mathematics

Цель: Preparation of qualified specialists-masters competent in solving various professional problems in the field of mathematics and mathematical education, their acquisition of practical skills and competences in the field of professional research activities. - To provide training for undergraduates in accordance with academic standards in a competitive but stimulating educational environment that is attractive to the best students from other countries.

Предметы на ЕНТ: Mathematical analysis и Differential equations

Educational program

Preparation of qualified specialists-masters competent in solving various professional problems in the field of mathematics and mathematical education, their acquisition of practical skills and competences in the field of professional research activities. - To provide training for undergraduates in accordance with academic standards in a competitive but stimulating educational environment that is attractive to the best students from other countries.

ON1.Apply innovative educational technologies, methods in teaching mathematical disciplines; develop assessment tools, guidelines;

ON2.Give applied interpretations and on the basis of deep system knowledge in the subject area to analyze the degree of complexity of spectral problems;

ON3. Develop kinematic manipulator circuits, critically evaluating the dynamics of robotic systems;

ON4. Competently use linguistic and cultural linguistic knowledge for communication in a multilingual and multicultural society of the Republic of Kazakhstan and in the international arena;

ON5. Develop software packages for solving problems in the natural sciences, using modern programming languages and computer modeling;

ON6. Transform models using linear and non-linear operators in various functional and topological spaces;

ON7. Conduct research on the sustainability of the operation of electric power systems;

ON8. Construct an application research process using mathematical and statistical methods;

ON9. Create search algorithms for various queries in databases using numbering theory;

ON10. Plan and carry out experiments, evaluating the accuracy and reliability of the simulation results;

ON11. Create constructive methods for solving boundary value problems of integral and differential equations;

ON12. To conduct laboratory and numerical experiments, to assess the accuracy and reliability of the simulation results in own scientific research.

Master's degree educational programs

Persons entering the master’s degree or residency:
when applying to organizations of university and postgraduate education:
1) an application addressed to the head of the organization of higher and postgraduate education in any form;
2) document on higher education (original);
3) certificate of completion of the internship (for admission to residency);
4) identity document (required for personal identification);
5) six photographs 3x4 centimeters in size;
6) a medical certificate in the f

Curriculum

СЕМЕСТР 1

History and philosophy of science-3 ECTS
Pedagogy of Higher education-5 ECTS
Nikolsky-Besov Spaces and Their Applications To Boundary Value Problems for Generalized Analytic Functions-5 ECTS
Multidimensional Complex Analysis-5 ECTS
Elements of theory of numberings-5 ECTS
The Theory of Finite Fields-5 ECTS
Singularly perturbed differential equation with piecewise constant argument-5 ECTS
Singularly Perturbed Integro-differential Equations-5 ECTS
Mathematical foundations of optimal control-5 ECTS
Theory of boundary value problems of optimal control-5 ECTS
The Theory of the Navier-Stokes Equations-5 ECTS
Inverse Problems in Hydrodynamics-5 ECTS
Statistics of Random Processes-5 ECTS
Methods of Teaching Higher Education Mathematics-5 ECTS
Mathematical analysis on metric spaces-5 ECTS
Research Seminar-1 ECTS
Dissertation Writing-1 ECTS
Sums of Independent Random Variables-5 ECTS

СЕМЕСТР 2

Foreign Language (professional)-5 ECTS
Psychology of Management-3 ECTS
Pedagogical-4 ECTS
Application of Approximate Calculations To the Problems About Eigenvalues-5 ECTS
Reducibility and completeness-5 ECTS
Boundary value problems for differential equations in partial derivatives-5 ECTS
The theory of stability regulated systems-5 ECTS
Direct and Inverse Problems for Nonclassical Equations-5 ECTS
Stochastic Differential Equations-5 ECTS
Organization and Planning of Scientific Research (in English)-5 ECTS
Theoretical and computational problems of mathematical physics-5 ECTS
Research Seminar-1 ECTS
Dissertation Writing-2 ECTS

СЕМЕСТР 3

General Algebra-5 ECTS
Theory of stability of dynamic systems-5 ECTS
Research-4 ECTS
Approximations for Functions of Several Variables-5 ECTS
Number-theoretic Methods in Approximate Analysis and Their Applications-5 ECTS
The Theory of Identification of the Boundary Conditions and Its Applications-5 ECTS
Computable Functions-5 ECTS
Ideals and Diversity-5 ECTS
Computability in the Hierarchies-5 ECTS
Boundary Value Problems for Ordinary Differential Equations-5 ECTS
The Qualitative Theory of Differential Equations-5 ECTS
Additional Chapters of Differential Equations-5 ECTS
Constructive theory of boundary value problems for ordinary differential equations-5 ECTS
Methods for solving extremal problems-5 ECTS
Optimal control of systems with partial derivatives-5 ECTS
Evolution Equations of the Second Order-5 ECTS
Second Order Elliptic Equations-5 ECTS
The Method of Compactness and Monotony for Nonlinear Problems of Mathematical Physics-5 ECTS
Theory of martingales-5 ECTS
AppIied Statistic-5 ECTS
Theory of Statistical Estimation-5 ECTS
Dissertation Writing-1 ECTS

СЕМЕСТР 4

Research-4 ECTS
Research Seminar-1 ECTS
Dissertation Writing-10 ECTS
Scientific Internship-3 ECTS
Publication in the Proceedings of International Conferences-4 ECTS
Final Attestation-8 ECTS

Employment

Spheres of professional activity: scientific research spheres; educational; experimental research sphere; non-manufacturing economy; information and computing service; administrative and managerial. Objects of the sphere of professional activity: academic scientific organizations, higher educational institutions, universities, general educational organizations, gymnasiums, lyceums, secondary vocational schools; research organizations; research and production associations, research centers, financial institutions, insurance and analytical and other companies.

Contacts

Address: 71/23 al-Farabi Ave, Almaty, Faculty of Mechanics and Mathematics, 4th floor, room 418. Phone: 8 (727) 221-15-69

Documents of EP

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