7M05401 - MATHEMATICS

Passage of accreditation (year of passage, period of passage).

Based on the results of the evaluation conducted by the external expert commission of the non-profit organization “Independent Kazakhstani Accreditation Center,” the educational program “7M05401 – Mathematics” has been accredited for a period of 5 years. Registration number: HE-SA No. 00506, validity period: June 17, 2025 – June 14, 2030.

Training period: scientific and pedagogical direction – 2 years.

Degree awarded: Master of Natural Sciences in the educational program "7M05401 – Mathematics".
Purpose of the Educational Program: The purpose of the master's program "7M05401 – Mathematics" is to train competitive highly qualified scientific and pedagogical personnel for the system of higher education and the scientific field, with in-depth scientific, pedagogical and research training.

Field of professional activity:

• Science; 
• Education; 
• Scientific and Production Sphere, Economics and Management.

Objects of professional activity: research organizations, engineering and design bureaus, firms and companies; educational organizations (higher and secondary special educational institutions, etc.); enterprises and institutions of state profile, organizations of various forms of ownership, using the methods of mathematics in their work; administration; Insurance companies; financial structures, business, economy.

Subject of professional activity: scientific research in areas using mathematical methods and computer technologies; solving various applied problems using mathematical modeling of processes and objects and software; development of effective methods for solving problems of natural science, technology, economics and management; software and information support of scientific, research and management activities; teaching of mathematical disciplines, the organization of the educational process in higher, secondary special educational institutions and other educational institutions.

Functions and types of professional activity

Types of professional activity: 

• research;
• organizational and managerial;
• pedagogical.

In accordance with the types of professional activity, a graduate of the EP "7M05401-Mathematics" can perform the following functions 

Research activities: 

• scientific research using mathematical methods and modern high-performance computing technologies to solve fundamental problems of mathematical modeling of processes and objects;
• study of new scientific results, scientific literature or research projects in the field of mathematics in accordance with the topics of research;
• compilation of scientific reviews, abstracts and bibliography, preparation of scientific publications on the subject of research;

Pedagogical activity: 

• organization of the educational and pedagogical process, teaching a cycle of mathematical disciplines in higher education institutions and other educational organizations; 
• supervising  scientific research of students and master’s degree candidates  (together with professors); 
• development of educational and methodological materials for higher education organizations and other educational organizations. 

Organizational and managerial activities:

• organization of the work of research groups; organization of scientific and scientific-methodical seminars, conferences.

List of specialist positions: 

• a researcher in research institutes, laboratories, design and design bureaus, etc.; 
• teacher of mathematics in higher educational institutions and other educational organizations; 
• mathematician-analyst, specialist in production and management organizations that use mathematical methods in their work, in insurance companies, financial structures;
• head of the organization, head of a structural unit, deputy head of a structural unit.

Learning Outcomes of the Educational Program:

1. Demonstrate knowledge of the philosophy and methodology of scientific inquiry; understand current methodological and philosophical issues in the natural sciences, as well as the role of science and education in social life.
2. Understand modern trends in the development of scientific knowledge; know the principles and structure of organizing scientific activities, and the theoretical and methodological foundations of research in the specialized field and in pedagogy.
3. Demonstrate knowledge of the history of the development of mathematical science, current issues of mathematical analysis, algebra and geometry, differential equations and mathematical physics, numerical methods, probability theory and mathematical statistics, and other mathematical disciplines; understand the current state and prospective directions of mathematical research.
4. Be able to apply acquired knowledge in fundamental disciplines to solve theoretical and scientific–practical mathematical problems in research activities.
5. Be competent in carrying out scientific projects and research in the professional field; know research methods used in modern mathematics and the latest achievements in the specialized area; possess skills in scientific research and solving standard scientific problems.
6. Be able to summarize the results of research and analytical work in the form of a master's thesis, scientific article, report, and other academic formats.
7. Be able to organize one’s work based on scientific principles; possess skills for expanding and deepening knowledge necessary for professional activities and further education in doctoral studies.
8. Be competent in scientific and scientific-pedagogical activities in higher education institutions; know the classical principles of higher education didactics, the theory and methodology of teaching mathematics; understand the psychology of students’ cognitive activity and psychological methods and tools for improving the effectiveness and quality of learning.
9. Be able to apply knowledge of higher education pedagogy and psychology in teaching activities; know global trends in the development of higher professional education, pedagogical concepts, and educational strategies of international organizations.
10. Possess skills in teaching mathematical disciplines; be competent in modern educational technologies; be able to apply interactive teaching methods, modern information and innovative technologies, including digital learning technologies and artificial intelligence technologies in the educational process.
11. Have foreign language proficiency sufficient for conducting scientific research and teaching specialized disciplines at universities.
12. Be able to perform information-analytical and information-bibliographic work using modern information technologies, including AI-based systems; work with national and international databases; and communicate scientific information using modern information and innovative technologies.

Bases for internships and practical training:

Institute of Mathematics and Mathematical Modeling of the SC MSHE RK; Scientific Center for Applied Mathematics and Informatics, Zhubanov University; Atyrau University named after Kh. Dosmukhamedov.