Bachelor courses
Speciality Code:
6B05404
Speciality Name:
Computational Sciences and Statistics
Faculty:
Mechanics and Mathematics
Qualification:
- First Stage of Higher Education - Bachelor of Natural Sciences
- Model of graduating student
- Mandatory disciplines
- Elective disciplines
- Professional
ON1. Demonstrate mathematical literacy, logical thinking, and knowledge of the basic concepts and ideas of computational science and statistics methods for solving problems;
ON 2. Choose modern methods of computational science and statistics and apply them in solving problems of natural science;
ON 3. Be able to formulate and test statistical hypotheses that correspond to the data of the studied problem;
ON 4. Master the methods of computational mathematics and statistics as the main tools for solving complex mathematical models and problems at the present time;
ON 5. Analyze the results of computational work and visualize the processes described by mathematical models based on them;
ON 6. Use programming tools and develop new programs for implementing methods of computational mathematics and statistics;
ON 7. Summarize the results of research and computational work in the relevant fields of science in the form of participation in research projects and presentations at conferences;
ON 8. Create computer models of real processes based on computational and statistical data;
ON 9. Create mathematical models of the object under study based on the principles and tools of mathematical methods;
ON 10. Use methods for quantifying statistical data of different nature;
ON 11. Create applications to software packages for optimizing professional activity in the studied fields of science, conduct laboratory and numerical experiments, and evaluate the accuracy and reliability of simulation results;
ON 12. Work in a team, argue for the correct choice of solutions to mathematical and statistical problems; critically evaluate their activities, the activities of the team, and be able to self-education and self-development
ON 2. Choose modern methods of computational science and statistics and apply them in solving problems of natural science;
ON 3. Be able to formulate and test statistical hypotheses that correspond to the data of the studied problem;
ON 4. Master the methods of computational mathematics and statistics as the main tools for solving complex mathematical models and problems at the present time;
ON 5. Analyze the results of computational work and visualize the processes described by mathematical models based on them;
ON 6. Use programming tools and develop new programs for implementing methods of computational mathematics and statistics;
ON 7. Summarize the results of research and computational work in the relevant fields of science in the form of participation in research projects and presentations at conferences;
ON 8. Create computer models of real processes based on computational and statistical data;
ON 9. Create mathematical models of the object under study based on the principles and tools of mathematical methods;
ON 10. Use methods for quantifying statistical data of different nature;
ON 11. Create applications to software packages for optimizing professional activity in the studied fields of science, conduct laboratory and numerical experiments, and evaluate the accuracy and reliability of simulation results;
ON 12. Work in a team, argue for the correct choice of solutions to mathematical and statistical problems; critically evaluate their activities, the activities of the team, and be able to self-education and self-development
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Physical Training
- Number of credits: 2
- Type of control: РК(с оценкой)
- Description: The purpose of the discipline is the formation of social and personal competencies of students, ensuring the targeted use of the appropriate means of physical culture and sports for preservation, preparation for professional activities. As a result of studying the discipline, the graduate should know the role of physical culture in human development.
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Kazakh (Russian) Language
- Number of credits: 5
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description:
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Information-Communication Technologies
- Number of credits: 5
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: During the study of the discipline students will learn following aspects:ICT role in key sectors of development of society. Microsoft Office Windows Cybersafety. Internet technologies. Cloud and mobile technologies. Multimedia technologies. Smart Technology. E-technologies. Electronic business. E-learning. Electronic government. Information technologies in the professional sphere.
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Mathematical Analysis I
- Number of credits: 5
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The content of the discipline is aimed at studying the theory of sequences and the theory of functions of one variable, the limits and continuity of a function, derivative, differential, the main theorems of differential calculus,the study and construction of a graph of a function using the derivative.
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Introduction to Functional Data Analysis
- Number of credits: 5
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: Functional data analysis is a subset of data analysis that applies functional analysis techniques to study the structure of data and build models. It usually focuses on working with continuous functions or signals, as opposed to classical data analysis, which is more often associated with discrete or tabular data.
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Real and Complex Analysis
- Number of credits: 6
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: To form the ability to analyze the mathematical description of the natural-science picture of the world, to get acquainted with the main methods for studying variables, these methods are based on the analysis of infinitesimal quantities and the use of the properties of the field of complex numbers.
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Discrete mathematics and mathematical logic
- Number of credits: 5
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The goal is the formation of knowledge and skills of future specialists in the use of apparatus and methods of discrete mathematics in the analysis, management and programming of modern processes and systems and to form the ability using the mathematical logic for the study of mathematical objects.
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Algorithms and Data Structures
- Number of credits: 5
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The purpose is formation of the ability to apply algorithms, data structures for solving various programming problems. As a result of studying, the following abilities of students will be formed: - create various programs using fundamental computational; - practically use the data structures; - analyze the effectiveness of algorithms.
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Introduction to Optimization Theory
- Number of credits: 5
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The purpose of the discipline: to develop the ability to numerically implement fundamental methods for solving the main classes of extreme problems in finite-dimensional and infinite-dimensional spaces. The existence of an optimal solution, direct optimality conditions, and classification of optimization methods will be studied. examples of optimization problems.
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Mathematical statistics
- Number of credits: 5
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: Purpose: mastering basic mathematical and statistical concepts; development of logical and algorithmic thinking abilities; mastering the fundamental methods of solving mathematical and statistical problems. Content: basic concepts of mathematical statistics within the relevant theory (sampling method; estimation theory; theory of statistical hypothesis testing); performing typical tasks using mathematical statistics methods (estimating an unknown parameter of the population; testing statistical hypotheses).
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Mathematical Analysis – II
- Number of credits: 5
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The content of the discipline is aimed at studying the theory of integrals, integration methods, the use of integrals for calculating the length of a curve, the area and volume of figures, the convergence of numerical series, the signs of the convergence of series, the convergence of functional series.
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Machine learning
- Number of credits: 5
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The purpose of the discipline: To study methods of data extraction, processing and analysis, including data extraction and transformation into a form that will be more convenient to work with later. Familiarity with software packages for information analysis. Will be studied: Introduction to Data Mining. Statistical methods of data processing. Elements of decision theory. Theory of estimates. Hypothesis testing. Time series.
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Multivariable Calculus
- Number of credits: 5
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The aim is a consideration of the concept of the limit, the continuity of functions of several variables, partial derivatives and differentiability, the application of differential calculus to finding extremums, implicit and inverse functions, the conditional extremum; the consideration of the concept of a double and triple integral and their applications.
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Cloud Computing
- Number of credits: 6
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: Purpose: during this course, students will get acquainted with the basic concepts, principles and technologies of cloud computing, as well as learn practical skills of working with cloud platforms and services such as Amazon, Google, Microsoft.
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Philosophy
- Number of credits: 5
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: Purpose: to form a systematic understanding of philosophy and its main problems and methods in the context of future professional activities. The main content of ontology and metaphysics is considered in the context of the historical development of philosophy; the importance of key worldview concepts in the modern world.
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Numerical methods-I
- Number of credits: 9
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: Purpose: teaching students the ability to use the basic numerical methods and the basics of computational mathematics. will be formed: - knowledge of the initial principles and theory of Numerical Methods; - knowledge of algorithms and methods of numerical methods of algebra and analysis, stability issues of algorithms.
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Numerical methods-II
- Number of credits: 6
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: Objective: to form students ' holistic, systematic and fundamental understanding of numerical methods and their implementation on a computer in solving partial differential equations. The following aspects will be studied: the finite-difference method and its justification for solving partial differential equations. Variational and projection methods.
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Linear algebra and analytical geometry
- Number of credits: 6
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The purpose of the discipline: to form the ability to use linear algebra to study mathematical objects. To form the ability to use the methods of vector algebra and the coordinate method to study objects of analytic geometry, to formulate and prove the key statements of linear algebra and analytic geometry.
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Numerical methods-III
- Number of credits: 6
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The purpose of the discipline is to train qualified specialists in the application of the finite element method for modeling fields of various physical nature, described by the equations of mathematical physics. Content: Fundamentals of the principles of constructing a finite element model. Sampling of the specified calculation area.
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High-level programming languages
- Number of credits: 9
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The content of the discipline is aimed at acquiring theoretical knowledge and practical skills in the field of basic methodologies for developing programs using high-level programming languages - the study of modern tool environments designed for developing programs using high-level programming languages.
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Нistory of Kazakhstan
- Number of credits: 5
- Type of control: [РК1+MT+РК2+ ГЭК] (100)
- Description: The purpose of the discipline is to give objective knowledge about the main stages in the development of the history of Kazakhstan from ancient times to the present. Expected learning outcomes: 1) demonstrate knowledge and understanding of the main stages in the development of the history of Kazakhstan; 2) to correlate the phenomena and events of the historical past with the general paradigm of the world-historical development of human society through critical analysis; 3) to possess the skills of analytical and axiological analysis in the study of historical processes and phenomena of modern Kazakhstan; 4) be able to objectively and comprehensively comprehend the immanent features of the modern Kazakh model of development; 5) Systematize and give a critical assessment of historical phenomena and processes in the history of Kazakhstan. During the study of the discipline students will learn following aspects: Ancient people and the formation of a nomadic civilization, Turkic civilization and the Great Steppe, Kazakhstan in modern times (XVIII - early XX centuries), Kazakhstan as part of the Soviet administrative-command system, Kazakhstan in the world community (1991-2022).
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Algorithmization and Programming
- Number of credits: 9
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The purpose of studying the discipline is to master the conceptual apparatus of computer science, programming, the ability to structure the subject area of research, the ability to create an algorithm for solving the task assigned to it and translate it into the appropriate programming language.
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Culturology
- Number of credits: 2
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: Aim of discipline is to form a bachelor's understanding of the specifics of the development of national culture in the context of world culture and civilization, need to preserve the cultural code of the Kazakh people, ability to pursue in independent professional activity a strategy of preserving the cultural heritage.
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Linear algebra and geometry
- Number of credits: 6
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The purpose of the discipline: to introduce basic mathematical concepts based on the concept of linearity, which are necessary for the training of specialists in all areas of mathematics; to form the ability to use the methods of vector algebra and the coordinate method for the study of objects.
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Mathematical logic and discrete mathematics
- Number of credits: 9
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: Discipline content: study of set theory, propositional logic and predicate logic, introduction to axiomatic formal systems, basic formalizations of algorithms and computability, introduction to classification of algorithms and problems by complexity, elements of combinatorics, recursive relations, remainder theorem, generating and multiplicative functions, Diophantine equations, elements of graph theory, Boolean functions.
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Mathematical analysis
- Number of credits: 9
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The content of the discipline is aimed at studying the theory of sequences and functions, limits and continuity of a function, derivative, differential, theorems of differential calculus, Taylor formula, theory of integrals, convergence of series, decomposition of functions into power series; application of differential calculus.
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Object-Oriented Programming
- Number of credits: 5
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The main constructs of a high-level programming language are studied: data types and operations, basic structural programming constructs, input/output organization, functions, variable varieties; program structure, pointers, and address arithmetic. Tools of the discipline: principles and properties of object-oriented programming, classes, inheritance, access attributes.
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Ordinary differential equations
- Number of credits: 5
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: To form the ability to apply the theory and methods of ordinary differential equations to solve applied differential equation problems. The content of the discipline is aimed at studying the following sections of the differential equation: basic concepts and methods for solving differential equations, higher-order differential equations.
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Queuing systems
- Number of credits: 6
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The purpose of teaching the discipline is to familiarize students with the basic concepts and definitions related to the classical theory of queuing and methods of analyzing service systems of various types and purposes. The task of the discipline is to obtain basic knowledge in the field of queuing systems.
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Sociology
- Number of credits: 2
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The course presents general questions of theory and history of sociology, methodology and methods of sociological research, special sociological theories. This course is aimed at shaping the sociological imagination of students, basic ideas about the subject and methods of sociological research, topical problems and sociology branches.
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Fundamentals of functional analysis
- Number of credits: 6
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: To develop the ability to use the basic concepts and methods of functional analysis to solve problems of modeling real processes in various fields of natural science and economics. The content of the discipline is aimed at the study of linear normed, metric, Banach and Hilbert spaces.
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Political Science
- Number of credits: 2
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The academic discipline “Political science” forms knowledge of the laws and laws of world politics and modern political processes, explaining the essence and content of the policy of national states, on the basis of ensuring national security and the realization of national interests.
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Applied tools of Computational Sciences and Statistics
- Number of credits: 9
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The purpose of this discipline is to use software packages to solve various problems of mathematical and statistical modeling. The discipline introduces students to the use of software packages such as Matlab, Stata and Wolfram Mathematica to conduct a wide range of statistical analyzes and data processing in various fields.
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Psychology
- Number of credits: 2
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The purpose of studying the discipline is to provide scientifically grounded training of highly qualified specialists on the basis of studying the fundamental concepts of psychology management, creating the necessary prerequisites for theoretical understanding and practical application of the most important management problems related to the process of professional development.
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Module of socio-political knowledge (Culture)
- Number of credits: 2
- Type of control: RK1+RK2 (100)
- Description: Aim оf discipline: to develop the ability to explain and interpret subject knowledge in all fields of science, shaping of the discipline. Sociology and sociological perspectives, social structure, form of policy, organizational structure, institutions, the legal and organizational rules, content, purpose, value, policy, concept and essence of culture, semiotics of culture, psychology of personality, psychology of interpersonal communication will be studied.
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Module of socio-political knowledge (Political science)
- Number of credits: 2
- Type of control: RK1+RK2 (100)
- Description: Aim оf discipline: to develop the ability to explain and interpret subject knowledge in all fields of science, shaping of the discipline. Sociology and sociological perspectives, social structure, form of policy, organizational structure, institutions, the legal and organizational rules, content, purpose, value, policy, concept and essence of culture, semiotics of culture, psychology of personality, psychology of interpersonal communication will be studied.
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Module of socio-political knowledge (Psychology)
- Number of credits: 2
- Type of control: RK1+RK2 (100)
- Description: Aim оf discipline: to develop the ability to explain and interpret subject knowledge in all fields of science, shaping of the discipline. Sociology and sociological perspectives, social structure, form of policy, organizational structure, institutions, the legal and organizational rules, content, purpose, value, policy, concept and essence of culture, semiotics of culture, psychology of personality, psychology of interpersonal communication will be studied.
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Module of socio-political knowledge (Sociology)
- Number of credits: 2
- Type of control: RK1+RK2 (100)
- Description: Aim оf discipline: to develop the ability to explain and interpret subject knowledge in all fields of science, shaping of the discipline. Sociology and sociological perspectives, social structure, form of policy, organizational structure, institutions, the legal and organizational rules, content, purpose, value, policy, concept and essence of culture, semiotics of culture, psychology of personality, psychology of interpersonal communication will be studied.
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Module of socio-political knowledge (Sociology/ Political science/ Culture/ Psychology)
- Number of credits: 8
- Type of control: RK + Exam (100)
- Description: Aim оf discipline: to develop the ability to explain and interpret subject knowledge in all fields of science, shaping of the discipline. Sociology and sociological perspectives, social structure, form of policy, organizational structure, institutions, the legal and organizational rules, content, purpose, value, policy, concept and essence of culture, semiotics of culture, psychology of personality, psychology of interpersonal communication will be studied.
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Differential equations
- Number of credits: 9
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: To form the ability to apply the theory and methods of ordinary differential equations and partial differential equations. The content of the discipline is aimed at studying the following sections of the differential equation: basic concepts and methods of solving differential equations, differential equations of the first and highest order.
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Introduction to Quantum Computing
- Number of credits: 6
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The purpose of the discipline is to understand the architecture of a quantum computer and the features of quantum computing. The course will cover the following topics: fundamentals of quantum physics, which is necessary for understanding the mechanism of quantum computing; paradigms of quantum computing;qubits; quantum systems.
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Partial Differential Equations
- Number of credits: 5
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: To form the ability to solve problems for partial differential equations and know the basic theory. The content of the discipline is aimed at studying the classification of partial differential equations and bringing them to canonical form, Fourier methods, thermal potentials, the continuation method and Green's functions, the maximum principle, the Cauchy problem, mixed problems, the Duhamel principle.
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Foreign Language
- Number of credits: 5
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: Purpose: to form the improvement of knowledge of foreign language communicative competence. The main methods of speech skills and foreign language communication skills are considered as a basis for the development of communicative competence; implementation of acquired speech skills in the process of searching, selecting and using material in English.
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Military Training
- Number of credits: 6
- Type of control: MC
- Description: Military Training
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Probability Theory
- Number of credits: 5
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The purpose of studying the subject is to learn basic probability concepts; development of logical and algorithmic thinking; to master the basic methods of solving probabilistic problems, to learn the properties of optimization and assessment of solving applied problems using probability properties, numerical characteristics of random variables.
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Probability Theory and mathematical statistics
- Number of credits: 9
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The purpose of this discipline is to familiarize with the basic concepts and results of probability theory and mathematical statistics. Discipline content: study of the basic concepts of classical probability; random variables; laws of large numbers and limit theorems; basic concepts of sampling theory; point estimates and methods of finding them.
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Applied statistics
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The purpose of the course is to introduce students to the basic concepts, results and important practical applications of examples and tasks of modern applied statistics. Content: Sampling. Parameter estimation and fitting of probability distributions. The smallest square estimates. Maximum probability. The method of moments. Some statistical distributions.
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Introduction to stochastic analysis
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The goal is to introduce one of the modern areas of mathematics - the basic concepts of the theory of stochastic analysis and simple examples of its applications. Teaching the probabilistic and mathematical foundations of the theory being studied.
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Fundamentals of Statistical Data Science
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The goal of the course is to teach students the basics of statistical analysis and machine learning for working with data, various methods of collecting, analyzing and interpreting data, including descriptive statistics, parameter estimation methods, hypothesis testing, etc., the ability to use software for statistical data analysis and machine learning , such as R, Python, TensorFlow and others.
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Computational statistics
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The objective of the course is to educate students on the application of computational methods and techniques for solving statistical problems. It aims to develop students' skills and understanding necessary for utilizing computer algorithms and programs in statistical data analysis. Students learn to use R and SAS tools.
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Introduction to Optimization Theory
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The purpose of the discipline: to develop the ability to numerically implement fundamental methods for solving the main classes of extreme problems in finite-dimensional and infinite-dimensional spaces. The existence of an optimal solution, direct optimality conditions, and classification of optimization methods will be studied. examples of optimization problems.
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Computational methods in finance
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The purpose of the course is to develop computational skills and present numerical methods important for the financial industry. The course contains: random number generation, Monte Carlo method, numerical solutions of stochastic differential equations and their implementation, finite difference schemes for solving partial differential equations arising in finance.
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Al-Farabi and Modernity
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: Aim of the discipline: to form students' ideas about the scientific and philosophical heritage of the great Turkic thinker Abu Nasr al-Farabi in developing the world and national culture. Learning outcomes: explain the main philosophical contents al-Farabi's heritage and his influence on the formation of Turkic philosophy; influence European Renaissance.
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Introduction to Data Science and machine learning
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The objectives of the discipline are: to familiarize students with the practical basics of machine learning, to get acquainted with examples of typical and rare tasks solved using machine learning, to study project management and teams in the field of machine learning, form students' skills in setting machine learning tasks.
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Introduction to Quantum Computing
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The purpose of the discipline is to understand the architecture of a quantum computer and the features of quantum computing. The course will cover the following topics: fundamentals of quantum physics, which is necessary for understanding the mechanism of quantum computing; paradigms of quantum computing;qubits; quantum systems.
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Scientific Research Methods
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: Objective - to develop skills in cognitive activity in the field of science. To use methods of scientific research for understanding and assimilating information. To be able to describe the object of research. To master methods of search, processing of scientific information, systematization, analysis, synthesis to obtain an objective content of scientific knowledge. To apply analytical and practical research methods and argumentation systems for justification, assertion, evaluation.
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Nonparametric statistics
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The purpose of the discipline: nonparametric (the assumed distribution function does not depend on the parameters) methods of data processing are considered in terms of their capabilities comparable to Gaussian. The main advantages of nonparametric methods in comparison with parametric methods are a wider field of applications.
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Parallelization of algorithms
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The purpose of mastering the discipline is to form an idea of the main technologies of parallel computing, to get acquainted with the methods and principles of creating parallel algorithms, to master the technologies of parallel programming for further use in solving resource-intensive computational problems of mathematical analysis, computer security.
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Legal Bases of Corruption Control
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The goal of the discipline is to form a responsible attitude and the ability to demonstrate in practice the application of the principles and norms of anti-corruption legislation in order to prevent corruption offenses, to form intolerance towards corruption, an anti-corruption culture in everyday life and at the workplace, civil liability. The following will be studied: anti-corruption legislation, the system and activities of anti-corruption subjects, causes and conditions conducive to corruption, anti-corruption policy, international experience in combating corruption.
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Entrepreneurship
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: Purpose: formation of practical skills for carrying out entrepreneurial activities. Student able to: use market opportunities that correspond to their interests and abilities; make an initial decision about business; work effectively within the framework of legal norms; evaluate the potential market opportunities of a startup.
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Modern methods of computational mathematics
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The purpose of studying this course is to teach students modern methods of numerical analysis and mathematical modeling with an emphasis on solving inverse problems, as well as modern software packages for the numerical implementation of computational mathematics algorithms, including solving inverse problems and wavelet analysis.
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Statistical analysis
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The purpose of the discipline is to form students ' scientific understanding of the methods of studying the nature of the relationships of features measured in nominal scales, as well as the development of probabilistic and statistical thinking necessary for successful research and analytical work on the study of patterns.
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Stochastic processes and applications
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The purpose of the discipline: to give students the theory of basic stochastic (random) processes and to show their applications in: biology, chemistry, physics, virology, medicine, economics, finance, etc. In the course of studying the course, to form students ' abilities: to apply the acquired knowledge.
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Decision theory
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The objectives of the discipline are: to study the principles of mathematical modeling of applied problems, methods of solving multi-criteria problems of natural science, including in conditions of uncertainty. As a result of mastering the course, the student must: understand the ideas underlying the theory of decision-making.
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Abais Teaching
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The goal of the discipline is to form in future specialists the ability to self-knowledge, the use of Abai's doctrine as the basis of spirituality and intellectuality of modern Kazakhstan, the application of their professional knowledge, understanding and abilities through the prism of humanism and education in order to strengthen the unity of the country and civil solidarity of society.The following will be studied: the concept of the teachings of Abai; sources of teaching; components of Abai's doctrine; categories of Abai's doctrine; measuring instruments of the teachings of Abai; the essence and meaning of Abai’s doctrine.
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Ecology and Human Life Safety
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The goal of the discipline is to form a number of key competencies based on modern environmental management concepts that implement the principles of harmonious optimization of the conditions for human interaction with nature, including in the process of tourist and recreational activities.The following will be studied: the principles of sustainable development, conservation and reproduction of natural resources to ensure the safety of human life, methods for assessing and minimizing risks, protecting against dangers, including during travel, measures to eliminate the consequences of accidents, anthropogenic disasters, natural disasters, environmental protection and rational environmental management.
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Introduction to Mathematical Modeling
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The course is aimed at teaching students the fundamentals of mathematical modeling, including various methods and approaches to constructing mathematical models, as well as the use of computer programs for solving problems.
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Introduction to Data Science
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The objective of the course is to familiarize students with the fundamentals and key concepts in the field of data science. Students will learn about various data sources and methods of data collection, including databases, files, etc. The course covers the basics of data processing and storage.
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Markov random processes
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: To form the ability to use basic probabilistic knowledge on random processes in finance. Content of discipline: Discrete Markov process with discrete time. Markov homogeneous and inhomogeneous chain. Discrete Markov process with continuous time. Poisson stationery and non-stationary flow of events. Final probabilities of states of a homogeneous Markov chain. The final probabilities of the states of the system in which the discrete homogeneous Markov process with continuous time. The process of death and reproduction.
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Mathematical models in economics
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The aim of the course is to introduce students to the principles and methods of formalizing organizational and economic problems, building economic-mathematical models and conducting research on personal computers. The objectives of the course are to acquire skills in formalizing economic problems, building economic-mathematical models and interpreting calculation results based on these models.
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Mechanics
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The purpose of this course is the formation of knowledge on the basic laws of nature and the mechanics of the material continuum, the acquisition of skills in building mathematical models, processes occurring in nature and technology and their analysis using the methods and means of modern mathematics; development of future specialists' abilities for scientific generalizations and conclusions.
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Fundamentals of Stochastic Processes
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The purpose of the course is to introduce students to the key concepts and methods of stochastic analysis, including stochastic processes, and to develop their understanding and skills in this area. Students should be able to use the properties of random processes and their numerical characteristics to find optimal solutions and predict random phenomena.
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Fundamentals of Stochastic Financial Mathematics
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: Stochastic financial mathematics is an important discipline that combines mathematics and finance. It provides tools and methods for modeling and analyzing financial markets, managing risks and evaluating financial instruments. The course "Fundamentals of Stochastic Financial Mathematics" is an introductory course that introduces students to the basic concepts and techniques of this discipline.
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Time series statistics
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: Purpose: presentation of the basic concepts of the theory of time series: random process or time series, basic models of time series and parameter estimation. The issues of non-parametric estimation necessary for solving applied and scientific problems are considered.
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Stochastic Models and Applications
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The aim of the course is to teach students the basics of stochastic analysis and its applications in various fields such as finance, economics, biology, physics and others.Knowledge of the basic concepts and definitions of stochastic analysis, such as probability space, random variables, stochastic processes and martingales others.
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Computer graphics in computing
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The course is aimed at familiarizing students with the basics of computer graphics, their application for visualizing the results of scientific calculations, acquiring skills in using computer mathematics systems, developing spatial imagination, and forming motivation for self-education.
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Monte Carlo methods
- Type of control: [RK1+MT+RK2+Exam] (100)
- Description: The main objective of the course is to teach students how to apply probability theory and mathematical statistics to the numerical solution of mathematical problems. Students should know the basic concepts and ideas of Monte Carlo methods.
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Pre-diploma
- Type of control: Защита практики
- Description: The goal of the practice is to form the ability to integrate the theory and methodology of technological and chemical disciplines to solve practical problems related to future professional activities. The practice is aimed at the formation of an independent solution to real problems in the field of chemical technology of inorganic substances using the competencies obtained in the course of mastering the educational program.
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Educational
- Type of control: Защита практики
- Description: Сonsolidation of the received theoretical knowledge, professional orientation of students; familiarization and study of the organization of activity, structure, directions of scientific activity of the department, faculty, university. - use knowledge of physical laws and theories to explain the structure of matter, forces and interactions in nature, the origin of fields; use acquired knowledge in practice and in everyday life;
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Production
- Type of control: Защита практики
- Description: Consolidation of theoretical and practical knowledge obtained at the university, familiarization with the organization and production technology, the acquisition of practical skills and professional experience in the field of study. As a result of the internship, the student will be able to study and analyze the necessary information, to carry out the necessary calculations using modern technical means.