Master degree program
Actuarial Mathematics

Actuarial Mathematics

QUALIFICATION

  • Scientific and pedagogical direction - Master of Natural Sciences

MODEL OF GRADUATING STUDENT

ON 1. Demonstrate knowledge of modern methods of pedagogy and psychology of higher education and apply them in teaching activities;
ON 2. On the basis of deep system knowledge in the subject area, analyze the degree of complexity of actuarial tasks and provide applied interpretations;
ON 3. 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;

ON 4. Apply knowledge and skills in mathematical and computer modeling, use modern programming languages, as well as modern software packages for solving problems in the field of insurance and financial risks;

ON 5. Summarize the results of research and analytical work in relevant areas of science in the form of participation in research projects and tenders, in the development of state laws, projects, speaking at conferences, publishing articles;

ON 6.Teach special mathematical disciplines in universities and colleges;

ON 7. Create search algorithms for various queries in databases using numbering theory;

ON 8. Plan and implement forecasts in various risk-related areas, assessing the accuracy and reliability of simulation results;
ON 9. Develop products for various financial security systems: life insurance, medical insurance, general insurance, pension systems and investing;

ON 10. Build different mathematical and economic models of the object under study on the basis of the principles and tools of mathematical methods for making management decisions;

ON 11. Develop tariffs (pricing), reservations in the general insurance, life insurance and reinsurance industries;
ON 12. Choose methods that are applicable to their own research; communicate and substantiate their conclusions and knowledge used to formulate them to specialists and non-specialists.

Program passport

Speciality Name
Actuarial Mathematics
Speciality Code
7M05401
Faculty
Mechanics and Mathematics

disciplines

Foreign Language (professional)
  • Number of credits - 6
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline is to form practical skills in various types of speech activity in a foreign language. The training course builds the ability to perceive, understand and translate information in the modern global space, participate in scientific events to test their own research. The discipline is aimed at improving competencies in accordance with international standards of foreign language education.

General insurance: ratemaking, reserving and reinsurance
  • Number of credits - 6
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - To form the ability to use modern methods of statistical assessment of insurance premiums and reserves. The discipline is aimed at studying: the principles of general insurance, the creation of insurance products, underwriting, pricing, premium adjustments, losses and expenses, risk classification and their implementation, insurance reserves.

History and Philosophy of Science
  • Number of credits - 3
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline is to form a holistic systemic understanding of philosophy as a special form of cognition of the world, its main sections, problems and methods of their study in the context of future professional activity. The training course forms the theoretical and methodological basis of research work.

Introduction to actuarial modeling
  • Number of credits - 5
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The main objective of this course is to study pricing in general insurance, individual and group life insurance. The tasks of determining the size of a one-time net premium, pension payments, annual insurance premiums and insurance reserves are also considered. In this course, the theory of reliability and their application in insurance is studied. The approach will be studied on the basis of complete certainty, the approach to reliability based on limited fluctuations, the Bühlmann approach and the Bühlmann-Straub approach. In particular, we consider the basic reliability formulas, the variance of the hypothetical mean value, and the mathematical expectation of the variance of the process.

Organization and Planning of Scientific Research (in English)
  • Number of credits - 6
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline to form the ability to apply practical skills in the organization and planning of scientific research. The discipline studies: forms and methods of planning, organization and design of scientific articles and dissertations; forms of summarizing the results of scientific research in presentations, speeches, projects, articles.

Pedagogy of Higher education
  • Number of credits - 5
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose is the formation of the ability of pedagogical activity through the knowledge of higher education didactics, theories of upbringing and education management, analysis, and self-assessment of teaching activities. The course covers the educational activity design of specialists, Bologna process implementation, acquiring a lecturer, and curatorial skills by TLA-strategies.

Pension Plans
  • Number of credits - 9
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - To form the ability to use methods of calculating the evaluation of pension plans and their applications. The discipline is aimed at studying the calculations of the annuity factor, joint insurance annuities, methods of calculating premiums and reserves, methods of risk assessment in pension plans, methods of financing social insurance.

Psychology of management
  • Number of credits - 3
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline is to provide scientific training of highly qualified specialists based on the study of fundamental concepts of management psychology, creating prerequisites for a theoretical understanding and practical application of the most important aspects of the field of management in the process of professional formation. The course is aimed at studying the patterns of development and functioning of mental processes, the basics of effective interaction and conflict resolution, self-development and self-presentation.

Stochastic analysis
  • Number of credits - 6
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - Assimilation of the basic concepts of the theory presented; acquisition of practical skills in working with educational and scientific literature on the basics of stochastic calculus. Ability: To distinguish between classes of the theory of random processes; to prove martingale and semi-martingale equalities and inequalities; to apply the Ito formula.

Valuation of insurance liabilities in accordance with IFRS 17
  • Number of credits - 5
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - Upon successful completion of this module, students should be able to develop the ability to use modern methods for calculating the valuation of loss reserves, adjustment factors, the risk portion of net premiums and their applications

Data for 2021-2024 years

disciplines

Actuarial calculations in group and health insurance
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of this discipline is to form the necessary knowledge among undergraduates in the field of calculating insurance premiums, payments, reserves, testing the profitability of group insurance and medical insurance products. The content of the discipline is aimed at studying the types of medical expenses coverage.

Actuarial Principles and Their Applications ӀӀӀ
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The course examines actuarial methods for general insurance calculations. The types of individual and collective models of total cost are considered and computer programs are created for their calculation. Methods for testing compatibility with statistics are discussed. Share capital, methods for determining additional risk, determining the total premium, methods for assessing reserves, and types of risk distribution in reinsurance are considered.

Additional chapters of probability theory
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - Purpose: to acquaint undergraduates with the basic concepts, theoretical, practical applications of modern applied statistics. Tasks: mastering the main results by undergraduates for their subsequent effective use in their activities. Results: students are trained in the technique of applying stochastic analysis methods and the theory of stochastic curvature.

Applied Econometrics
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - Objective: to form an idea about the construction of applied econometric models, their use for real economic processes. Learning outcomes: explain the principles of applied econometrics; analyze and predict real econometric problems; apply linear multiple regression models; interpret linear multiple regression models; develop research tasks using econometric modeling skills.

Basics of Actuarial Models
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - To form the ability to use actuarial models for general insurance tasks. The content of the discipline is aimed at studying risk/loss models (individual and collective), reliability theory, utility theory and insurance economics and their application to specific tasks of general insurance.

Calculation methods in life insurance
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - To form the ability to use methods of calculating insurance premiums, insurance reserves in life insurance. The discipline is aimed at studying the following issues: creation of insurance products and underwriting; pricing, actuarial modeling, methods of calculating insurance premiums, insurance reserves for individual and group insurance, construction of mortality tables.

Distribution theory and their applications in insurance
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of studying the discipline is to deepen knowledge in the field of applications of probabilistic and statistical methods to the analysis of insurance markets and improve skills in solving real practical problems.

General insurance and reinsurance
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - To develop the ability to use modern methods of statistical assessment of insurance premiums and reserves. The content of the discipline is aimed at studying the following issues in general insurance: principles of general insurance and reinsurance, creation of insurance products using reinsurance, reinsurance and its types, methods of risk assessment taking into account reinsurance.

Life and health insurance
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - To develop the ability to use modern methods for calculating insurance premiums and insurance reserves in life insurance. Contents of the discipline: creation of insurance products and underwriting; pricing, actuarial modeling, methods for calculating insurance premiums, insurance reserves for individual and group insurance, constructing mortality tables, testing the profitability of group and health insurance products, medical coverage, and applying these actuarial calculations in practice.

Limit theorems and their application in insurance theory and actuarial mathematics
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the course is to familiarize master's students of the specialty actuarial mathematics with numerous applications of the laws of large numbers and central limit theorems of probability theory, such as estimating the reserve and calculating the probability of bankruptcy of an insurance company, a strict probabilistic - mathematical justification of individual and collective models of actuarial mathematics, a probabilistic - mathematical description of Cramer models – Lundeberg, Sparre – Anderson, etc.

Models of individual and collective risks
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline: the formation of the ability to apply modern models of individual and collective risks. The considered models are designed to determine the probabilistic model of potential losses used in determining insurance rates, reserves, and reinsurance, taking into account the distribution of cumulative annual losses.

Reliability theory and its application in insurance
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - To form the ability to use modern methods of reliability theory in insurance. The content of the discipline is aimed at studying the basic methods of reliability theory, models of individual and collective risks and their application to solutions of practical problems in insurance, properties of complex distributions.

Risk assessments in general insurance
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of this discipline is to develop undergraduates the necessary knowledge in the field of calculating insurance premiums, payments, reserves, testing the profitability of general insurance and health insurance products. The content of the discipline is also aimed at studying the types of coverage of medical expenses, and the application of these actuarial calculations in practice.

Stochastic models and equations of actuarial mathematics
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - Actuarial mathematics is a branch of science that studies methods and models associated with insurance of various risks. The goal of the course is to develop an understanding of probabilistic and mathematical methods for constructing stochastic models of actuarial mathematics. The course will outline the mathematical foundations of some stochastic models of actuarial mathematics in discrete and continuous time and methods for solving the resulting equations.

Stochastic models and equations of financial mathematics
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of studying this discipline is to form an understanding of probabilistic and mathematical methods for constructing stochastic models of financial mathematics. . The course will outline the mathematical foundations of some stochastic models of the financial market in discrete and continuous time and methods for solving the resulting equations.

Theory of Investment
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - Objective: knowledge of the basic concepts and methods of financial modeling, the ability to determine the expected risk and profitability of portfolios; evaluate the effectiveness of a passive investment strategy. The course examines the expected return and standard deviation of the investment portfolio, the theory of building Markowitz portfolios.

Data for 2021-2024 years

INTERNSHIPS

Pedagogical
  • Type of control - Защита практики
  • Description - Formation of practical, educational-methodical skills of conducting lectures, seminars, creatively apply scientific, theoretical knowledge, practical skills in teaching activities, conduct training sessions in the disciplines of the specialty; own modern professional techniques, methods of training, use in practice the latest theoretical, methodological advances, make educational, methodological documentation.

Research
  • Type of control - Защита практики
  • Description - The purpose of the practice: gaining experience in the study of an actual scientific problem, expand the professional knowledge gained in the learning process, and developing practical skills for conducting independent scientific work. The practice is aimed at developing the skills of research, analysis and application of economic knowledge.

Data for 2021-2024 years