Specification educational and vocational programs
Code and specialty name 
5В070500 – Mathematical and computer modeling 
Appropriated academic degree 
Bachelor of Technics and Technologies on a specialty 5В070500–Mathematical and Computer Modeling 
The training period 
20152019 years. 
Training language 
Kazakh / Russian / English 
The faculty 
Mechanics and Mathematics 
Department 
Mathematical and Computer Modeling 
The purpose and objectives of the program 
The baccalaureate program is focused on preparation of highly skilled experts of the mathematical and computer modeling possessing knowledge and competences, demanded for work in educational, scientific and technical institutions. Also, on satisfaction of requirements of the Kazakhstan and foreign higher educational institutions, the research centers. Purposes, problems of an educational program: – formation of national model of the continuous education integrated into world educational space by comparison to foreign educational programs, satisfying requirement of the personality and society in the specialty 5B070500 – Mathematical and computer modeling; – direct connection of an educational program with inquiries and modern practice of activity and development of the state and policy, economy and management, science and education that will allow to let out the experts competent of practical activities; – training of specialists for the state, commercial and public structures, capable to put the received knowledge into practice in professional (labor) situations. 
The content of educational and vocational programs
Competencies 
Disciplines 


Bbasic knowledge of the recent history of progressive stages of development of statehood of Kazakhstan. In the context of global and Eurasian historical process. 
HRK1101 History of Kazakhstan
POK(R)L1102 Professionaloriented Kazakh (Russian) language
POFL1103 Professionaloriented Foreign language
PSK2104 The philosophy of scientific knowledge 


Knowledge of social and ethical values based on social and legal norms and tolerance of different cultural and religious traditions. Basic knowledge of the functioning and development of nature and society, the ability to adequately navigate the various socioeconomic, political and emergencies. Knowledge about the basic stages of development of political idea, subjects of politics, political elite and leadership. Knowledge about becoming of the political system of the independent state of Republic of Kazakhstan, politicians of nationstate of Republic of Kazakhstan on the stage of speedup modernisation in the light of annual messages of President of people RK. Knowledge of ethics of the personal and social success in the field of mathematical and computer design. Knowledge about the features of origin of ethics, principles and norms of professional ethics, codes of professional ethics, ethics of business communication, social responsibility. Knowledge about a culture and religion: concept and origin of religion, structures and functions of religion, moral maintenance of religion. Knowledge of the basic stages of becoming and development of sociology, history of sociology, society, social institutes and cooperations, task forces and communities. Knowledge about personality in the system of social cooperation, social inequality and social mobility, theories of middle level, social conflicts and logic of their permission. There is knowledge of legislative and legal acts in area of safety of vital functions. Knowledge of tasks, principles of construction and functioning of civil defensive in РК, classification of dangerous and harmful factors, radiation danger, защит from ionizing radiations, chemical danger. Knowledge of basic principles and methods of defence of population is in the emergencies of peaceful and military time. Ability to render a доврачебную help at emergencies.Knowledge of aim, task and methods of ecology, ecology of individual, law of a minimum of Liebig and law of tolerance of Sheldord, ecology of populations and association. Knowledge of principles and methods of guard of environment. Knowledge of the protected territories, ecological issues of the day of steady development of Republic of Kazakhstan. Knowledge of basic concepts and category of the state and right, legal relations, good behaviour and offence, legal responsibility. Knowledge of bases of constitutional right, administrative law, civil law, family law, tax right, labour right for Republic of Kazakhstan. Knowledge of criminal law, ecolaw, landed right, civiljudicial right, international law of Republic of Kazakhstan. Knowledge of basic problems of economy, economic categories and laws, specific methods of study of economic processes, relations of property and types of the economic systems. 
PIC3201 Psychology of Interpersonal Communication
TAPS3202 Theoretical and Applied Political Science
EPSS3203 Ethics of personal and social success
CR3204 Culture and Religion
GAS3205 General and Applied Sociology
FLS3206 Fundamentals of Life Safety
ESD3207 Ecology and Sustainable Development
KL3208 Kazakh law
FE3209 Fundamentals of Economics 
3. Block vocational modules 

3.1 Natural science (STEM) module 

Knowledge about the device of computer; knowledge of bases of modern of informativelycommunication technologies of collection, treatment and presentation of information; knowledge of methods and DMFS. Ability to work in the operating system Windows; ability to use modern of informativelycommunication technologies for collection, treatment and analysis of information; ability to use and process difficult documents with the use of Microsoft Office. Knowledge of mathematical model, applied in theoretical physics; knowledge of basic concepts, theorems of theoretical physics and quantum mechanics; knowledge of methods of decision of tasks of theoretical physics and quantum mechanics. Knowledge of theory of physical kinetics, basic methods of physical kinetics. Ability to get equalizations of balance for the middle closeness of substance, impulse and energy. Possession skills of decision of tasks of physical kinetics and analysis of the got results. Knowledge of mathematical models, applied in thermodynamics; knowledge basic concept of thermodynamics; knowledge of methods of decision of tasks of thermodynamics. Ability to pick up adequate mathematical models; ability to apply corresponding methods for the decision of tasks of thermodynamics 
ITPP1301 Information Technology for professional purposes
TPQM2302 Theoretical Physics. Quantum Mechanics
FK3303 Physical Kinetics
Ther4304 Thermodynamics 
3.2. Basic vocational modules 

Module1. Mathematical analysis 

Knowledge of the theory of real numbers, the exact upper and lower bounds of the set of numbers, the limit of the number sequence, the basic properties of convergent sequences is arbitrarily large sequences with infinitely small, the limit of a monotone sequence, Cauchy criterion that the limit function, the properties of infinitely small and infinitely large functions. Remarkable limits. The concept of uniform continuity. 
MA1301 Mathematical analysis – I MA1302 Mathematical analysis – II MA2303 Mathematical analysis – III 
Module2. Algebra and Geometry 

Knowledge of theory of the systems of algebraic equalizations, basic properties of determinants and matrices, algebraic and geometrical description of lines and surfaces the second order, primary information about groups, rings and fields, вероятностностатистических concepts, as simple probability and her estimation; casual size, her numerical descriptions and their estimations; basic methods of evaluation. Knowledge of axioms of linear and Euclidean spaces, concepts of base and coordinates, theory of linear operators in linear spaces, classification of normal operators in Euclidean and unitary spaces, theory of quadratic forms and quadrics. A theory of curves and surfaces is in Euclidean space. Curvature, twisting, formulas Френе. First and second quadratic forms of surface, theorem of Meusnier. Curvatures of surfaces. Theorem Bonn about congruence of surfaces. Derivation formulas, symbols of Кристоффеля. Internal geometry of surfaces. Geodesic curvature, geodesic line. Equalizations of EulerLagrange and extreme properties geodesic. Formula of GaussBonne. 
AGLA1301 Analytical geometry and linear algebra 1
AGLA1302 Analytical geometry and linear algebra 2
DGTA2303 Differential Geometry and tensor analysis 
Module3. Differential equations control theory 

Knowledge of bases of organization of relational databases and tool of development of user applications is needed for a modern specialist activity of that is related to treatment of large volumes of information, or with the direct planning and introduction of the informative systems in different establishments or enterprises. Ability to build relational databases. Knowledge of basic methods of decision of differential equalizations 1th and 2th orders, systems of differential equalizations. Knowledge basic concept of equalizations of mathematical physics and equalization with the partials of firstorder, study linear equalization of mathematical physics, also nonlinear equalizations of mathematical physics. Knowledge of practical skills in decision of tasks of mathematical analysis with that it is mathematically correct to set the simplest certain problem of practice, choose a mathematical vehicle and method of her decision, decide her; to work with the special literature on the basic divisions of mathematical analysis. 
FRDBD3303 Fundamentals of relational database design
DE2302 Differential equations
MPE2303 Mathematical Physics Equations
COM3304 Computations and Optimisation Methods 
Module4. Mechanics 

Knowledge of the mathematical models applied in theoretical mechanics; knowledge of basic concepts and theorems of theoretical mechanics; knowledge of methods of decision of tasks of theoretical mechanics. Able: to pick up adequate mathematical models for description of mechanicprocesss. Knowledge of mathematical models, applied in mechanics of continuous environments; basic concepts and theorems of mechanics of continuous environment; methods of decision of tasks. 
TM2301 Theoretical Mechanics
CM3302 Continuum Mechanics 
Module5. Computational Mathematics 

Knowledge of basic tasks of algebra of analysis and theory of usual differential equalizations. Ability to apply the methods of calculable mathematics for the numeral decision of tasks of algebra of analysis and theory of usual differential equalizations. Possession, programming and constructions of algorithms, ground of correctness of tasks, skills of numeral decision of the investigated tasks. Knowledge of basic tasks of equalizations of mathematical physics and concept of разностных charts. Ability to apply the methods of calculable mathematics for the numeral decision of tasks for differential equalizations in the partials of mathematical physics. 
NM2301 Numerical methods– 1
NM2302 Numerical methods – 2 
Module6. Mathematical Modeling 

A mathematical design of the real processes is one of modern and effective methods of decision of tasks of scientific and technical progress. Methodology of mathematical design creation of adequate mathematical character of the investigated object and his analysis is the basis of by means of calculable and computer technologies. Knowledge of mathematical design of chemical processes: classic mathematical models of chemistry, receptions of design of difficult chemical processes, methods of quality analysis of the dynamic systems, computational algorithms of calculation of models. Knowledge of drafting of mathematical models of difficult physical processes. Receptions and methods of decision of intricate problems of mathematical physics. Use of numeral methods for physical processes. 
IMM3301 Introduction to Mathematical Modeling
MMChP3302 Mathematical modeling of chemical processes
MCMPhP4303 Mathematical and computer modeling of physical processes 
Module7. Administration and Programming 

Knowledge of basic methods of the effective programming. To own skills of the procedureoriented programming, skills of programming of highefficiency numeral methods, application of effective libraries of numeral methods, to the use of popular compilers in the different operating systems. Knowledge about the basic concepts of the operating systems of Linux; knowledge of basic tasks of administration; knowledge of the stages of the initial loading; knowledge of stop and restart of the system, about the features of the file system OS Linux, about connection of FTUS, moving away of users, disconnecting of registration record, about the devices of sequential access, about protocols of network of ТСР/ІР, about procedure of addition of hard disk. Knowledge of basic methods of the effective programming in language C++. Ability to realize numeral methods in language C++ in procedural style. Receipt of base knowledge on questions of organization of the parallel computer systems, and also basic technologies of organization of parallel calculations on multiprocessor calculable complexes with the updiffused or general main memory. 
Pro1301 Programming
SAOS2302 System Administration operating systems
OOPC2303 Objectoriented programming in C++ PP2304 Parallel Programming 
Module8. Компьютерная графика и базы данных 

Knowledge about the methods of threedimensional design of objects with the use of base and extended primitives, component objects, modifiers and instruments; knowledge about the threedimensional design of objects with the use of splines and forms; knowledge about a полигональном design; knowledge about the methods of animation, illumination and visualization. Ability to design the threedimensional stages, influence an user environment; ability of work with standard materials, ability to create new materials; to lay on texture on an object; ability to influence a chamber; ability to place and influence illumination in the stage; ability to create animation; ability to execute visualization of the working stage. Knowledge of programmatic and vehicle facilities of creation and treatment of image on ПЭВМ; knowledge about the modern interfaces of the application programming(API). Ability to work with some of interfaces of the application programming(Open GL). Basic knowledge of probability theory and mathematical statistics in the framework of finite random variables without the strict application of the measure theory and functional analysis. The ability to apply the learned material for applications, to expand their own knowledge and skills on PT and the MS. Possession of theoretical foundations of probabilistic methods and simulation of stochastic phenomena. 
3DM3301 3Dmodeling
PCG3302 Programming in computer graphics
PTMS2301 Probability Theory and Mathematical statistics 
3.3 Modules individual educational trajectories (IET)/ OC 

IET 1. Mathematical Modeling 

Knowledge of scientific writing and preparation of scientific articles for the prestigious international journal on mathematical and computer modeling, computer technologies. Knowledge of spectral and wavelet of analysis: bases of functional and wavelet of analysis and ability to describe the processes of transformation and forming of alarm information, principles of decomposition of signals, свертку of signals, frequency presentation of signals. Knowledge of models and methods of highperformance calculations.
Languages used mathematical methods and their application to problems of mathematical and computer modeling of atmospheric processes, a deep understanding and establishing relationships between a wide range of physical phenomena and facts, applying the basic principles, knowledge of mathematical and computer modeling of atmospheric processes and problems of meteorology. Knowledge of spectral methods is in theoretical physics: study of numeral algorithms and spectral methods for the decision of tasks of theoretical physics, possibility of choice and application of spectral methods for the decision of the applied tasks. Knowledge of biological processes and processes of the genic engineering : study of mathematical models of tasks of the genic engineering, educating to the methods of raising and decision of mathematical tasks, analysis of the studied processes, mathematical models of processes of selection of genes from an organism(cages), realization of manipulations with genes and introduction of them in other. Knowledge of the universal properties of biomedical systems and methods for their simulation. Ability to analyze mathematical models of biomedical processes using mathematical methods and computers. Knowledge of physics and technologies processes: nonstationary tasks warm  and массопереноса at presence of dynamic sources of substances and heat. Knowledge of calculable hydrodynamics: formulation of basic equalizations of fluid and gas dynamics of streams, equalization of indissolubility, impulse, conservation of energy, equalization of the state(for gases). Knowledge of design of dynamics of the deformed environments : nonlinear dynamic systems, general properties and laws of motion of the deformed bodies, power cooperation’s in these bodies. Knowledge of mathematical models is in theoretical physics: the mathematical models applied in theoretical physics; basic concepts and theorems of theoretical physics, methods of decision of tasks of theoretical physics. Ability to pick up adequate mathematical models for description of mechanicprocesss. Ability of application of corresponding methods for the decision of tasks of theoretical physics. Ability to analyse the got results from the point of view of physics. 
SW3501 Scientific writing (каз/рус/анг)
SVA3502 Spectral and wavelet analysis
MMHPC3503 Models and methods for highly productivetion calculations TOCMPM3504 Theoretical bases of computer modeling of problems of meteorology
SMTPh3505 Spectral Methods in Theoretical Physics
MMBPGE3506 Mathematical modeling biological processes and Genetic Engineering
MCMBPhM3507 Mathematical and computer modeling in biophysics and medicine MMPhTP4508 Mathematical modeling of physical and technological processes CFD4509 Computational fluid dynamics
MNDDM4510 Modeling the nonlinear dynamics of deformable media
MMTPh4511 Mathematical models in theoretical physics 
IET 2. Computational mathematics and scientific computing 

Knowledge of scientific writing and preparation of scientific articles for the prestigious international journal on mathematical and computer modeling, computer technologies. Knowledge about columns and algorithms: properties of counts, classic algorithms on columns, presentation of counts in a computer, oriented and unoriented columns. Knowledge of methods and their applications Monte Carlo: theory of chances and mathematical statistics for the numeral decision of tasks of mathematical physics, "nonclassical" numeral methods of decision of tasks of mathematical physics, concepts and ideas of methods of construction of difficult casual sizes, use of algorithms of methods of Monte Carlo. Knowledge of numeral decision of nonlinear regional tasks: methods of raising and research of regional and initial tasks for equalizations in partials, basic concepts and determinations of theory of разностных charts, questions of approximation, convergence and stability of разностных charts. Ability to build разностные charts for certain nonlinear differential tasks, to investigate approximation, convergence and stability of разностных charts for certain tasks, numeral to decide the put tasks. Knowledge of organization of the distributed systems: concept of totality of the autonomous processors and systems, incorporated in of communication subnet for an accumulation given and operating together for the decision of general task. Knowledge of scientific calculation: methods of raising of tasks, development of разностных charts, determination of approximation, proof of convergence and stability of разностных charts, application of numeral methods, construction of charts by means of the systems of scientific graphic arts. Knowledge of scientific calculation : methods of raising of tasks, development of разностных charts, determination of approximation, proof of convergence and stability of разностных charts, application of numeral methods, construction of charts by means of the systems of scientific graphic arts. Knowledge of method of eventual elements: Theoretical and practical bases of method of eventual elements. Algorithmization and computer realization of МКЭ. About modern МКЭ software. Ability to break up an area on eventual elements, to apply МКЭ for certain equalizations in partials, numeral to realize tasks by means of present МКЭ software. Knowledge of calculable hydrodynamics: formulation of basic equalizations fluid/gas dynamics of streams, namely: equalization of indissolubility, equalization of maintenance of impulse, equalization of maintenance of energies, equalization of the state(for gases). Calculable hydrodynamics of подраздел mechanics of continuous environment, including totality of the physical, mathematical and numeral methods intended for the calculation of descriptions of stream processes. Knowledge of numeral decision of tasks of реологии: description of mechanical properties of various materials in the different modes of deformation, when simultaneously their capacity can show up for a flow and accumulation of convertible deformations. Ability to develop general principles and suppositions coming from that the receipt of quantitative betweennesss is possible by measurands, ability to develop реологические equalizations of the state. Rheology equalizations of the state are a mathematical reflection or mathematical models of the real properties of environment. Knowledge of the concurrent programming and management by the updiffused data. Knowledge about the methods of programming of parallel virtual machines; to master some technologies of the concurrent programming; to know architecture of the cluster systems on the base of directives of MPI. 
SW3501 Scientific writing ( каз/рус/анг )
GA3502 Graphs and Algorithms
MCMA3503 MonteCarlo methods and their applications
NSNBVP3204 The numerical solution of nonlinear boundary value problems
ODS3505 The Organization of distributed systems
SC32506 The scientific computing
NMCGS3507 Numerical methods for Curvilinear Grid
FET4508 Finite element technique
CFD4509 Computational fluid dynamics
NSR4510 Numerical solution of the rheology
PPDDM4511 Parallel programming and distributed data management 
IET 3. Computer modeling 

Knowledge of scientific writing and preparation of scientific articles for the prestigious international journal on mathematical and computer modeling, computer technologies. Knowledge of mobile technologies: concept about mobile technologies and appendixes, mobile platform and service, mobile television, mobile commerce, mobile банкинг, mobile marketing and other similar directions. Knowledge of the systems of computer makeup and scientific graphic arts: bases of work in the system of computer makeup of LaTeX, process of preparation of scientific reports and publications in LaTeX, reflection of results of scientific researches in the graphic and mathematical packages of Grapher, MathCad, Origin et al. Ability of preparation of the advanced studies is in the system of computer makeup of LaTeX, use of formats of Postscript and PDF, insertions of graphic data in LaTeX, to prepare a scientific report or publication with the use of charts, tables, charts and illustrations. Ability of work in the graphic and mathematical packages of Grapher, MathCad, Origin et al. Knowledge of basis of cryptography and defence of information: the modern state of problems of storage, treatment, search, transmission, transformation, closing and renewal of confidential information in organizations and on the enterprises of different directions of activity and different patterns of ownership, methods of protection fetch to her, to consider the questions of development of facilities and systems of collection and defence of information(ЗИ) uptodate. Knowledge and ability of development of appendixes in language of C#: basic methods of programming in language of C#, creation of the applied applications in language of C# in the objectoriented style. Possession skills of the objectoriented programming, by skills of creation network, multithreading appendix, applications of classes of WPF and language of marking of XAML for creation of graphic manmachine interface, by the methods of programming server and clientserver appendix. Knowledge of programming of appendixes and applets for the internet in language of Java 2. Knowledge of basic methods of programming in language of Java 2. Ability of creation the applied applications in language of Java 2 in the objectoriented style. Knowledge of Web of technology: development of modern web technologies status, about their place and role inprocess computer networks of Internet/Intranet; problems and directions of development of the web technologies and programmatic facilities, applied in web technologies. Knowledge mathematical bases of computer graphics  II: programmatic and vehicle facilities of creation and treatment of image on ПЭВМ; interface of the application programming (API). Ability to work with some of interfaces of the application programming (Open GL). Knowledge of control system by databases: principles of organization of data and construction of models of data, language of queries of SQL and his procedural expansions. Ability to systematize information. Knowledge of computer design and programming is in AutoCAD. Ability to use the instruments of drawing, editing and registration. Ability of construction and editing of threedimensional models. Knowledge about possibilities of the programs of the computer drawing and order of passing of the planning stages; knowledge of bases of construction of primitives and drafts is in AutoCAD; knowledge of documentation on all stages of planning. Ability to design drafts on a computer; ability to apply different facilities of visualization of draft and printing. Knowledge of the operating systems of UNIX/LINUX for professional aims. Knowledge of commands and instruments of the operating systems of UNIX/LINUX. Ability to control and manage motion of work of the operating system. Capacity for administration of the computer systems on enterprises. 
SW3501 Scientific writing ( каз/рус/анг )
MT3502 Mobile technology
DTPSSG3503 DTP systems and scientific graphics
CIS3504 Cryptography and Information Security
ADC3505 Application Development in C#
PJ23506 Programming in Java 2
WT3507 Web technology
MFCG4508 Mathematical Foundations of Computer Graphics – II
DBMS4509 Database Management Systems
CDPACAD4510 Computer design and programming in AutoCAD
OSPP4511 Operating systems for professional purposes 
3.4 Interdisciplinary module 

There is knowledge of innovative enterprise in area of mathematical and computer design. Knowledge about an innovative process, innovative activity innovative operations and product. Knowledge of life cycle innovative operations and product : new product developments, going into a market, stabilizing of market, reduction of market, getting up of market, falling of market. Search of innovative ideas and her estimation, drafting of businessplan of innovative project, search necessary resource, management by an enterprise. Knowledge of laws, regulative rights on the results of intellectual activity and means of individualization, intellection and facilities of individualization, about the protection of the authorial and allied rights, about preparation and to accompaniment of licence contracts, agreements on the transmission of technologies. Knowledge of basic processes of molecular biology. Ability to take apart elements, stages of these processes and to design these processes in the cages of simple and difficult organisms. Knowledge of basic stoichiometrical laws of chemistry; intercommunication between the structure of periodic table and distribution of electrons into an atom; substantive provisions of theory about nature of chemical connection; laws of thermodynamics; laws homogeneous and heterogeneous равновесий; properties of solutions of неэлектролитов and electrolytes; conformities to law of kinetics of reactions and able to apply them in practice(laboratory practical work). Able independently to conduct a physical and chemical experiment, process the obtained data of graphical and analytical methods, interpret them and draw conclusion; to use reference data on thermodynamics and electrochemical properties of substances for the decision of практиче¬ских tasks; to own terminology. 
IE2601 Innovative entrepreneurship (by industry)
IP2602 Intellectual property law
MB2603 Molecular biology
PhCh2604 Physical chemistry 
 Compliance with the ethics of communication;  The ability to select and organize the language means that in certain situations of communication contribute to achieving the objectives of communication  Ability to clearly express their thoughts, to speak correctly. 
CSLC3605 Culture of Speech and Language Communication 
To know: the main provisions of treatises of AlFarabi; modern approaches to the solution of scientific, educational and social problems; develop skills of unconventional thinking. 
FC3606 AlFarabi and Contemporaneity 
4.1 Practice 

Knowledge of technology of algorithmization and drafting of algorithms as a programmatic code, flowcharts; knowledge of programming language for the decision of tasks on a computer; knowledge of the use of builtin functions and подпрограмм. Ability to make flowcharts; ability to develop algorithms for the decision of tasks with numbers, tests, arrays, records, great numbers and other constructions; ability to make functions and подпрограммы; ability to write a programmatic code in programming language; ability to collect the program in a programming environment; ability of realization of search and removal of errors; ability of realization of start and program debug. 
EP1101 Educational Practice – I

Knowledge of numeral methods for the decision of the system of linear algebraic equalizations, nonlinear equalizations, tasks of interpolation, numeral integration, differential equalizations. Ability of choice and application of numeral method for a decision the set problem; ability to develop algorithms numeral methods; ability to write a programmatic code in programming language for the chosen numeral method; ability to collect the program in a programming environment; ability of realization of search and removal of errors; ability of realization of start and debugging 
EP1102 Educational Practice – II 
Knowledge of the use of methods of mathematical design for the decision of scientific and applied tasks; knowledge of work with modern programmatic and vehicle facilities of information technologies for implementation of scientific researches. Ability to carry out researches and get new scientific results; ability publicly to come forward before different audiences with lectures, reports about problems and ways of their decision. Possession ability to work in a research collective. 
PP3201 Professional Practice– I
PP4202 Professional Practice– II 
During practice formed skills, abilities and professional competence  the ability to: own culture of thinking, the ability to build a clear and reasoned oral and written language; knowledge of one foreign language at a level no lower than spoken; aware of the social importance of their future profession, have a high motivation to perform professional activities; possession of computer skills as a means of information management; work with information on global computer networks; work in a team and use legal documents in their activities; the ability to use scientific and cognitive activities, as well as in the social sphere the professional skills of information and computer technologies; working with information from a variety of sources, including the network resources on the Internet, for professional and social problems; to the intellectual, cultural, moral, physical and professional selfdevelopment, the desire to improve their qualifications and skills; demonstrate a basic knowledge of general scientific natural sciences, mathematics and computer science, the understanding of the basic facts, concepts, principles, theories related to applied mathematics, mathematical modeling and computer science (CS1); acquire new scientific and professional knowledge, using modern educational and information technology; to understand and apply in a research and applied activities of modern mathematical apparatus; as part of the research and production team to solve the problem of professional activity; critically rethink the experience, if necessary, change the type and nature of their professional activity; to carry out a targeted search for information about the latest scientific and technological developments in the Internet and from other sources; collect, process and interpret the data of modern scientific research needed to draw conclusions on relevant scientific, professional, social and ethical issues; to solve problems of industrial and technological activities at a professional level, including: the development of algorithmic and software solutions in the field of system and application programming; used in professional activity modern programming languages and databases, operating systems, digital libraries and software packages, network technology; Ability: to formalize the problem, analyze the obtained models and apply analytical and numerical methods for their solution; use a problemoriented software for calculations, numerical simulations, visualization of results; collect and analyze information on random processes by means of mathematical statistics, including the use of specialized software; the ability to analyze the situation and make the best decisions in terms of random events and competition; the ability to investigate and solve formal problems using analytic methods and specialized software; ability to construct mathematical models of simple physical processes. 
PP403 PrediplomaPractice 
5. Final Certification 

Knowledge of theory of scientific, technical, economic and productive task, according to the theme of diploma work; knowledge of methods and methods for a decision the set problem; knowledge of terminology; knowledge of requirements and rules of registration of diploma work(project). Ability to produce to the operation(mathematical letups and calculations, construction of charts and diagrams, drafting of algorithms and programs for a calculable process, design and animation of the threedimensional stages, planning of drafts, programming of charts, construction of websites and scripts, planning of database, development of appendixes et al) on the topic of work; ability to design and publish job performances. Possession methodology of research(scientific, project) and experimentation at the decision of the developed problems and questions; possession skills of search, analysis and mastering of literature; possession skills of conduct of independent исследовательской(by a project) work. 
Writing and Presentation of Bachelor's dissertation ( Diploma Project) 
6. Additional Forms of training 

Knowledge of public policy and ASIC achievements of Kazakhstan in the field of physical culture and sports. Knowledge of the theoretical and methodological, hygienic and organizational foundations of physical culture and sports. 
PhT Physical Training 