7M05406 Pure and Applied 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.

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.

1.The use of innovative pedagogical technologies and methods in teaching mathematical subjects; development of assessment tools, instructions;
2.Providing practical explanations and analysis of the degree of complexity of spectral problems based on deep systematic knowledge in the subject area;
3.Develop logical schemes of manipulators, critically evaluating the dynamics of robotic, algebraic systems
4.Competent use of language and linguistic knowledge for communication in a multilingual and multicultural society of the Republic of Kazakhstan and in the international arena;
5.Develop software packages for solving problems in the natural sciences, using modern programming languages and computer modeling;
6.Transformation of models using linear and non-linear operators in various functional and topological spaces;
7.Conduct research on the sustainability of the operation of electric power systems;
8.Designing the process of applied research using mathematical and statistical methods;
9.Creation of search algorithms for various queries in the database using numbering theory;
10.Planning and conducting experiments, assessing the accuracy and reliability of simulation results;
11.Create constructive methods for solving boundary value problems of integro-differential equations;
12.Conducting laboratory and numerical experiments, assessing the accuracy and reliability of simulation results in their 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
Generalized Functions-5 ECTS
Functional Spaces and Embedding Theorems-5 ECTS
Complete theories, types and models-5 ECTS
Algebraic Systems-5 ECTS
Stochastic analysis-5 ECTS
Modern Methods of Stability Theory-5 ECTS
Dissertation Writing-1 ECTS
Research Seminar-1 ECTS

СЕМЕСТР 2

Strongly Minimum Theories-5 ECTS
Organization and Planning of Scientific Research (in English)-5 ECTS
Introduction to theory of linear differential operators-5 ECTS
Pedagogical-4 ECTS
Foreign Language (professional)-5 ECTS
Functional methods for solving partial differential equations-5 ECTS
Research Seminar-1 ECTS
Dissertation Writing-2 ECTS
Psychology of Management-3 ECTS

СЕМЕСТР 3

Boundary Value Problems for Ordinary Differential Equations-5 ECTS
Research-4 ECTS
Algebraic geometry and the theory of models-5 ECTS
Dissertation Writing-1 ECTS
Fundamental solutions of equations of mathematical physics-5 ECTS
Select Heads of Analysis and Differential Equalizations-5 ECTS
Differential calculus on Banach spaces-5 ECTS
Spectral theory of the Sturm-Liouville operator-5 ECTS
Combinatorical Enumeration-5 ECTS
Group representation theory-5 ECTS
Elements of Algebraic Geometry-5 ECTS
Theory of rings and fields-5 ECTS
Linearly ordered models and the number of countable models of the complete ordered theory-5 ECTS

СЕМЕСТР 4

Research-4 ECTS
Scientific Internship-3 ECTS
Research Seminar-1 ECTS
Dissertation Writing-10 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