Knowledge of the theory of differential schemes and principles
of their construction; main cryptographic methods, protocols and
algorithms,
structures
of
cryptographic
messages
and
mathematical models of texts and codes; fundamental
technologies of development of algorithms; principles of creation
of parallel computing systems; mathematical models of parallel
on Java; implementation of appendices in the Java language; means of the
parallel and distributed programming for cluster and multiprocessor
computing systems; realization of algorithms of processing of data with help
of the modern languages of high level; uses of architectural patterns for the
distributed, interactive and adaptable systems.
algorithms; fundamental concepts of the theory of recognition of
images.
Ability to find effective solutions of problems of calculus
mathematics; to apply Numerical methods of the solution of
initial and regional tasks to the ordinary differential equations and
the differential equations in private derivatives, the integrated
equations; to carry out cryptoanalysis of models of codes, to
control confidential keys; to model images and to create
animations of difficult scenes and events; to develop effective
algorithms of the solution of tasks.
5В060300-Механика
Code of the
subject
Name of the subject, number of credits,
prerequisites, distribution by types of classes
Purposes, objectives, brief content of module (subject)
Learning outcomes
(knowledge, abilities, skills )
1
2
3
4
HK1101
History of Kazakhstan
Prerequisites: no
Module purpose: to history of state and law of the Republic of
Kazakhstan it is directed on studying of process of origin, formation and
state and right development. Conclusions and judgments of this science
are based on the analysis of the exact facts and really taken place events of
state and legal life of Kazakhstan. The place and role of science of the
state and the right of Kazakhstan among other sciences are defined by that
it represents realization of historical approach of research of the state and
legal phenomena from the moment of their emergence till today. It
logically recreates and restores an objective picture of evolution of state
and legal systems, establishments and the institutes existing and existing
in the territory of the Republic. The protokazakh medieval states and their
legal systems were fixed and studied both foreign travellers, and local
observers and originators of dynasty historiographies.
Knowledge: the different parties of activity of the Kazakh
horde are available in official documents, in various written
sources of foreign and local observers, in works of national
creativity. During edge colonization by the Russian Empire
there were the numerous works of different character describing
with different degree of reliability and objectivity a political
system and legal relations in the region. In the conditions of the
Soviet power of a problem of national statehood in Kazakhstan
were studied in special scientific institutions from class and
party positions.
Ability in modern conditions to carry out studying of history of
state and law of the Republic, relying on the research
experience summed up in this direction and knowledge for a
reconstruction of an objective picture of history of state and law
of the country.
POK(R)Ya1102 Professional-focused Kazakh (Russian)
language
Prerequisites: no
Module purpose: expansion of a basic word stock of common words and
phrases,
mastering by grammatical forms and designs at the level of their use in
speech. Mastering by a basic word and terminological stock in the
specialty. Creation of various types of speech activity: conversation,
description, informing. Grammatical forms and designs in communicative,
functional aspects. Reproduction adapted and a producing simple
pragmatical texts, dialogical and monological, in an oral and written form,
on the subjects actual for social and professional spheres, on different
types of speech activity: speaking, audition, reading, letter.
Knowledge: development of educational and professional
speech: a) development of skills of reading, hearing, literature
making an abstract in the specialty; b) different drawing up the
scientific and educational texts close to texts of textbooks and
lectures, dialogues and monologues on educational and
professional subjects; c) intensive training in the main
functional and semantic types of statements: to monologue
description, monologue narration, monologue - a reasoning,
dialogue conversation, dialogue - discussion. Professional
Kazakh (Russian) language
Ability to develop scientific and professional speech: the active,
generalized, volume formation of skills and abilities in the field
of scientific and professional speech.
POIYa1103
Professional-focused foreign language
Prerequisites: no
Module purpose: phonetic, spelling, lexical, grammatical norms of a
studied foreign language. Phonetics: pronunciation and rhythmic-
intonational
features of a foreign language, reception and reproduction of sound system
of speech. Spelling: sound alphabetic system of language, basic spelling
rules. Lexicon: word-formation models; basic word stock of 2500 units of
basic language, and also the terms corresponding to a profile of specialty;
Lexicon differentiation on scopes of application.
Knowledge: the main parts of speech – a noun, an adjective, an
adverb, a verb, an article, a pronoun, a pretext; structure of a
simple and compound sentence; main models of word
formation. Reading: formation of skills of fact-finding, search,
studying and viewing reading. Speaking: skills of dialogical
and monological speech within studied subjects. Letter:
development of skills of a consecutive statement of thoughts,
reasonings, and also information when writing compositions
and letters of personal and business character.
Ability to translate texts in the specialty from a foreign
language on native according to language norms. Audition:
perception aurally messages of household, information and
professional character
LAAG 1401
Linear algebra and analytical geometry 1
3 credit/ 5 ECTS
Prerequisites: none
2+1+0
The purpose of teaching the course - to help students basic mathematical
skills of professionally significant and notions of analytic geometry and
linear algebra methods for solving systems of linear algebraic equations.
Objectives: The main objective of the course - the study of the foundations
of analytical geometry and linear algebra. It also discusses methods for
solving systems of linear algebraic equations. The development of the
logical and algorithmic thinking, the formation of independent cognitive
activity of students, the ability to learn throughout life, the mastery of
basic algorithms of numerical methods of analytic geometry and simple
implementations
Knowledge of the theory of limits, integration, differentiation,
knowledge base of the course of higher mathematics. The
ability to calculate a system of linear algebraic equations, the
ability to find the determinants of the second, third, and large
orders, ability to find solutions of matrix equations, the ability
to use mathematical tools for the study of real processes and
phenomena. Possession of ways of calculating the definition;
knowledge of methods for solving systems of linear algebraic
equations, the basic theory of matrices, possession of basic
concepts, methods, and algorithms of analytical geometry.
LAAG 1402
Linear algebra and analytical geometry 2
3 credit/ 5 ECTS
Prerequisites: Linear algebra and analytical
geometry 1
2+1+0
The purpose of teaching the course, study the set of solutions of equations
defined by polynomials.
Objectives: The main objective of the course - the study of the foundations
of analytical geometry and linear algebra. Also, the notion of affine
variety, about the theory of Abelian integrals, which were obtained
remarkable results on algebraic curves and having a purely geometric
meaning.
Knowledge of the theory of limits, integration, differentiation,
knowledge base of the course of higher mathematics. The
ability to calculate a system of linear algebraic equations, the
ability to find the determinants of the second, third, and large
orders, ability to find solutions of matrix equations, the ability
to use mathematical tools for the study of real processes and
phenomena. Possession of ways of calculating the definition;
knowledge of methods for solving systems of linear algebraic
equations, the basic theory of matrices, possession of basic
concepts, methods, and algorithms of analytical geometry.
MA1403
Mathematical analysis 1
4 credit/ 6 ECTS
Prerequisites: none
2+2+0
Objective: To introduce the basic ideas and methods of mathematical
analysis.
Objectives: The objectives of the course in mathematical analysis
included the development of students' logical thinking and mathematical
culture needed to explore other mathematical subjects.
Knowledge of theoretical material and thus be able to choose
their method of solving problems. Ability to work
independently with the literature, the ability to work as a group
together to discuss the challenges and be able to explain to their
fellow students understood the material, the ability of students
to apply their knowledge in practice, the development of
creative thinking. Possession of scientific and mathematical
terminology, equally know different areas of mathematics.
MA1404
Mathematical analysis 2
4 credit/ 6 ECTS
Prerequisites: Mathematical analysis 1
2+2+0
Objective: To study the functions and their generalizations methods
differential and integral calculus.
Objectives of the course Mathematical Analysis II is the development of
students' knowledge of differential and integral equations and methods of
solving them.
Knowledge of theoretical material and thus be able to choose
their method of solving problems. Ability to work
independently with the literature, the ability to work as a group
together to discuss the challenges and be able to explain to their
fellow students understood the material, the ability of students
to apply their knowledge in practice, the development of
creative thinking. Possession of scientific and mathematical
terminology, equally know different areas of mathematics.
MA2405
Mathematical analysis 3
3 credit (5 ECTS)
Prerequisites: Mathematical analysis 2
2+1+0
Objective: To study the differential
and integral calculus, theory
series (functional, power and Fourier transform) and multi-dimensional
integrals.
Objectives of the course Mathematical Analysis III is to develop the
students to apply their knowledge in practice, the development of creative
Knowledge of theoretical material and thus be able to choose
their method of solving problems. Ability to work
independently with the literature, the ability to work as a group
together to discuss the challenges and be able to explain to their
fellow students understood the material, the ability of students
to apply their knowledge in practice, the development of
thinking
creative thinking. Possession of scientific and mathematical
terminology, equally know different areas of mathematics.
DE2406
Differential equations
3 credit/ 5ECTS
Prerequisites: Mathematical analysis 2
2+1+0
Any mathematical model that adequately describes the reality in terms of
differential equations, certainly includes (explicitly or implicitly) the
various options, and in a typical situation, their values are known only
approximately with some accuracy. Therefore, the question about the
behavior of solutions of differential equations with a small change in the
value of the input parameter equation is of fundamental interest. This
course focuses on more complex singular occasion - when not fulfilled the
assumption of regularity of the occurrence of a parameter in the equation.
Ability to apply the theoretical knowledge to solve practical
problems. Ability to develop the right strategy the task.
possession of theoretical and experimental research methods
characteristic problems of a specific area of mathematics.
CM2407
Computational methods
3 credit/ 5 ECTS
Prerequisites: Mathematical analysis 2
2+0+1
The main purpose of the discipline "Numerical solution of nonlinear
boundary value problems" is to develop in students a holistic
understanding of the basic concepts and fundamental aspects of
computational methods used for the analysis of the equations of
continuum mechanics.
have representation on the methods of setting and study the
boundary and initial problems for partial differential equations.
know: the basic concepts and definitions of the theory of
difference schemes, questions of approximation, convergence
and stability of difference schemes.
be able to: build a finite difference schemes for certain
nonlinear differential problems, explore approximation,
convergence and stability of difference schemes for specific
tasks numerically solve tasks.
have skills: basic numerical solution of mathematical problems;
programming basic algorithms of computational mathematics
MPhE 2408
Mathematical Physics equations
3 credit/ 5ECTS
Prerequisites: Mathematical analysis 3
2+1+0
Course objective: the study of the basic concepts of mathematical physics
equations and partial differential equations of the first order, the study of
linear equations of mathematical physics and nonlinear equations of
mathematical physics.
know the basic mathematical concepts involved in the program,
their interrelation, interdependence and interaction not only
between themselves but also with other mathematical
disciplines.
be able to accurately and thoroughly substantiate the reasoning
without cluttering it with unnecessary details.
acquire practical skills to solve problems in order to
mathematically correct to put a specific practice the simplest
problem, select a method to solve it and solve it.
PTMS 2409
Probability Theory and Mathematical statistics
3 credit/ 5ECTS
Prerequisites: Mathematical analysis 3
2+1+0
The purpose of discipline is to present basic information about the
construction and analysis of mathematical models that take into account
random factors. The main objective is to familiarize students with the
basics of probability theory and mathematical statistics in the framework
of finite-dimensional random variables without the strict application of
measure theory and functional analysis. For a basis of a theory of
probability accepted universally recognized system of axioms of AN
-basic knowledge of probability theory and mathematical
statistics in the framework of finite-dimensional random
variables without strict application of the measure theory and
functional analysis.
-the ability to solve problems in the theory of probability and
statistics using basic formulas of these disciplines;
work as a group together to solve tasks related to TV and MC;
Kolmogorov. Particular attention is drawn to the fact that students have
learned well the fundamental concepts of probability theory, and mastered
the main methods of formulating and solving problems in mathematical
statistics.
should develop probabilistic and statistical thinking and the
ability to cope with the tasks of the probabilistic nature;
must learn to circulate freely with concepts such as probability
and its evaluation, the random variable, its characteristics and
their evaluation, point and interval estimation.
VCOT 3410
Variational calculus and optimization
techniques
3 credit/ 5ECTS
Prerequisites: Mathematical analysis 3
2+1+0
The purpose of teaching the subject, "The calculus of variations and
optimization techniques" is to develop future professionals of
contemporary theoretical knowledge in the calculus of variations and
optimization techniques.
The task of the discipline
"The calculus of variations and optimization techniques" is:
- To develop in students a deep knowledge of the fundamentals of
calculus of variations and optimization methods;
- The ability to apply this knowledge in the study and solution of specific
problems encountered in various fields of science.
-Knowledge of basic concepts and methods of calculus of
variations and optimal control, the role of the calculus of
variations and possibilities of its application in various fields
PhFM 1411
Physical foundations of mechanics
2 credit/ 3 ECTS
Prerequisites: none
1+0+1
The purpose of teaching the subject "Physical principles of mechanics" is
to develop future professionals the ability to conduct experimental
research in the field of mechanics.
The task of the discipline is to:
- To develop in students a deep knowledge of the physical foundations of
mechanics;
- The ability to apply this knowledge to the experiments.
Ability to apply the theoretical knowledge to solve practical
problems, develop the right strategy solving tasks, own
experimental research methods
TM2412
Theoretical Mechanics
3 credit/ 5ECTS
Prerequisites: Mathematical analysis 2
2+0+1
The purpose of this module is formation at future specialists of base for
the subsequent profound studying of special areas of mechanics. The
module acquaints students with the main concepts, theorems and methods
of theoretical mechanics, studies motion of a material point and
mechanical systems.
Ability to apply knowledge from various sections of theoretical
mechanics and its methods which find the appendix at the
solution of technical tasks, an illustration of their application to
the solution of specific objectives.
AMSBD 2413 Analytical mechanics and solid body dynamics
3 credit/ 5ECTS
Prerequisites: Theoretical Mechanics
2+1+0
The purpose of this module is formation at future specialists of base for
the subsequent profound studying of special areas of mechanics. The
module acquaints students with the main concepts, theorems and methods
of analytical mechanics and rigid body dynamics.
Knowledge of theoretical mechanics, continuum mechanics,
main sections of continuum mechanics, mechanics of structural
elements, mathematical bases of mechanics: analytical
mechanics and rigid body dynamics, the basic concepts and
methods of differential geometry, topology.
MMR3414
Mechanics of machines and robotics
3 credit/ 5ECTS
Prerequisites: Theoretical Mechanics
2+0+1
The purpose of teaching is to teach the use modern methods of
investigation of kinematics and dynamics of mechanisms and machines,
robotic systems and analysis of dynamic processes in machines with using
modern computer technology
The ability to use modern methods of investigation of
kinematics and dynamics of mechanisms and machines, robotic
systems and analysis of dynamic processes in machines
TOV3415
Theory of oscillations and vibrations 2 credit/ 3
ECTS
Prerequisites: Theoretical Mechanics
1+0+1
Vibration theory - a field of science that investigates oscillatory and wave
phenomena in systems of different nature. Theory of vibrations primarily
interested in the general properties of vibration processes, and not the
details of the system behavior associated with the expression of its specific
nature (physical, biological, etc.).
The ability to make a design scheme, and know the
methodology and ways of making the differential equations of
small vibrations of mechanical systems with a finite number of
degrees of freedom
MM2416
Materials mechanics
2 credit/ 3 ECTS
Prerequisites: Theoretical Mechanics
1+0+1
The purpose of teaching "Mechanics of Materials" is to develop future
specialists of modern theoretical knowledge in strength calculations.
The task of the discipline "Mechanics of Materials" is to develop in
students:
- Calculation skills of core structural elements of strength, stiffness and
stability;
- The ability to appeal to modern testing machines and the measuring
equipment.
The ability to calculate the core structural elements of strength,
stiffness and stability and handling with modern testing
machines and test equipment.
ICM2417
Introduction to Continuum Mechanics 2 credit/
3 ECTS
Prerequisites: Theoretical Mechanics
1+1+0
The purpose and objective is to study the basic concepts and sections of
continuum mechanics: kinematics and deformation of environment, strain
tensor of velocity strain and stress, equations and theorems of dynamics
and thermodynamics, classical model (ideal gas and liquid, viscous
incompressible fluid, elastic and thermo-elastic body).
The ability to solve the problem of determining the equation of
the medium, the fields of displacement, velocity and
acceleration, trajectory, streamlines and vortex lines, the strain
tensor components, the rate of deformation and stress,
know the basic terms and the theoretical foundations of
continuum
mechanics;
- Be able to research the simplest method of continuum
mechanics.
MDS3418
Mechanics of deformable solids
3 credit/ 5ECTS
Prerequisites: Introduction to Continuum
Mechanics
2+0+1
The purpose of the course mechanics of deformable solid (MDS) to give
students and secure on laboratory studies the theoretical foundations of the
mechanics of deformable solid, to involve students in the logic modeling
MDS. The main objective of MDS is the simulation of deformation and
fracture of solids.
To be able to solve the problems of the theory of elasticity,
mechanics of deformable solid, know the basics of the theory of
thermo-elasticity, the basic concepts thermoviscous elasticity,
strength
condition
-own a method of modeling and analyzing the simplest task
mechanics of deformable solid
FTHMT2419
Fundamentals of thermodynamics and heat and
mass transfer
2 credit/ 3 ECTS
Prerequisites: Introduction to Continuum
Mechanics
1+1+0
Aim of the discipline is to teach students about the theory of the thermal
energy, momentum and mass transfer in continuum meida (liquids and
gases). Heat and mass transfer include fundamental disciplines such as
fluid mechanics, thermodynamics and electrodynamics
-Understand diffusion and heat transfer in fluids, between fluids
and solids and in applications of the heat and mass transfer.
-be able to model simple processes of the heat and mass
transfer, apply boundary conditions and analize the results;
-Lear how to use methods of modelling nad analisys of simple
heat and mass transfer phenomena.
FGM3420
Fluid and gas mechanics
3 credit/ 5ECTS
Prerequisites: Introduction to Continuum
Mechanics
2+0+1
The aim and purpose of the discipline "Fluid Mechanics" is the study the
fundamentals of Fluid Dynamics and teach skills for solving problems.
The course cover kinematics, equations, laws and theorems of
hydrostatics, hydrodynamics equations, dynamics of an ideal gas
environment and a viscous incompressible fluid solutions.
- develop a student’s understanding of the basic principles of
fluid mechanics;
- the student will demonstrate an ability to recognize the type of
fluid flow that is occurring in a particular physical system; an
ability to choose the appropriate fluid mechanical principles
needed to analyze fluid-flow situations;
- the student will demonstrate an ability to solve and analyze
the mathematical model associated with a physical fluid-flow
system.
EMM3421
Experimental methods in mechanics
3 credit/ 5ECTS
Prerequisites: Mechanics of machines and
robotics: Fluid and gas mechanics
1+0+2
The aim of the course is to provide students with systematic knowledge in
the field of experimental methods in mechanics and teaching them the
procedure of the work. The task of the course is to teach students to do
experiments by their self.
- to know the main point, application methods, advantages and
disadvantages of various experimental methods;
-to be able to ground choice of experimental methods to solve
one or another problem;
- to have skills of development and analyze the results of
experimental investigation.
Pro1422
Programming
3 credit/ 5 ECTS
Prerequisites: none
1+0+2
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