01. School of Information technologies and Applied mathematics

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Open Access
Basic Java: Selected topics
(Almaty, Suleyman demirel university - 2000, 2000) Hajilarov E.K.
Abstract. "Basic Java Programming" is an introductory course that provides beginners with a foundational understanding of Java, a versatile and widely-used programming language. This course covers the fundamental elements of Java, including variables, data types, control structures, and basic functions. Through a combination of theoretical lessons and hands-on coding exercises, students will become proficient in Java syntax and basic programming concepts.The course also introduces the principles of object-oriented programming (OOP) and guides students in creating Java classes and objects. Students will learn to design simple Java applications, fostering problem-solving skills and modularity. "Basic Java Programming" is an excellent starting point for those looking to learn the fundamentals of programming and pave the way for further Java exploration.
Open Access
Элементы дискретной математики
(Suleyman Demirel University, 2004) Джумадильдаев А.С.
Книга содержит конспект лекций, прочитанных на первом курсе в Университете им. Сулеймана Демиреля и в Казахстанско-Британском Техническом Университете по курсу «Дискретная математика» за первые 7 недель. В лекциях затрагиваются элементы теории множеств, комбинаторики и теории чисел. В части 2 будут приведены лекции за 8-15 недели. В ней будут обсуждены следующие темы: • Алгебраические структуры • Логика высказываний и булевые функции • Элементы теории графов.
Open Access
Calculus : brief summary and exercises. Part 1
(Almaty, Suleyman demirel university - 2005, 2005) Nartova D.S.
Abstract. The "Calculus: Theory and Practice" course is a comprehensive introduction to the fundamental branch of mathematics known as calculus. This abstract provides an overview of the course's key components, which include both theoretical concepts and practical exercises. The course begins by presenting the core principles of calculus, starting with the concept of limits, derivatives, and integrals. Students will delve into the mathematical foundations that underpin this discipline, understanding how calculus provides the tools to analyze and describe the behavior of functions, curves, and change itself. In the practical aspect of the course, students will engage in a wide range of exercises and problems that require them to apply calculus techniques to real-world scenarios. These exercises will cover differentiation, integration, optimization, and related rates, among other topics. Through these exercises, students will develop critical problem-solving skills and gain the ability to model and solve complex, dynamic situations.
Open Access
Calculus and analytic geometry
(Suleyman Demirel University, 2005) Aliyev H.N.
Mathematics is not as complicated as it seems at first glance. If you follow all the sections of this book, you will gain firm confidence in your mathematical abilities. This book was written to help students understand how to solve mathematical problems. Each section contains examples and solved problems. Immediately after the section, the corresponding number of exercises with correct answers is given. The exercises will help students deepen their understanding of the sections. We wish you good luck and have fun with math!
Open Access
Statistic. Solved problems and exercises. Part 1.
(Suleyman Demirel University, 2006) Aliyev H.N.
Inferential statistics consists of methods that use sampie results to help make decisions or predictions about a population. The point and interval estimatıon procedures are forms of statistical inference. Another type of statistical inference is hypothesis testing. In hypothesis testing we begin by stating a hypothesis about a population characteristic. This hypothesis, called the null hypothesis, is assumed to be true unless suffıcient evidence can be found in a sampie to reject it. The situation is quite similar to that in a criminal trial. The defendant is assumed to be innocent; if suffıcient evidence to the contrary is presented, however, the jury will reject this hypothesis and conclude that the defendant is guilty.In statistical hypothesis testing, often the null hypothesis is an assumption about the value of a population parameter. A sampie is selected from the population, and a point estimate is computed. By comparing the value of the point estimate to the hypothesized value of the parameter we draw a conclusion with respect to whether or not there is a suffıcient evidence to reject the null hypothesis. A decision is made and often a specific action is taken depending upon wlıether or not the null hypothesis about the population parameter is accepted or rejected.
Open Access
STATISTICS. Solved problems and exercises Part 2
(Suleyman Demirel University, 2009) Aliyev H.N.
Inferential statistics consists of methods that use sampie results to help make decisions or predictions about a population. The point and interval estimatıon procedures are forms of statistical inference. Another type of statistical inference is hypothesis testing. In hypothesis testing we begin by stating a hypothesis about a population characteristic. This hypothesis, called the null hypothesis, is assumed to be true unless suffıcient evidence can be found in a sampie to reject it. The situation is quite similar to that in a criminal trial. The defendant is assumed to be innocent; if suffıcient evidence to the contrary is presented, however, the jury will reject this hypothesis and conclude that the defendant is guilty. In statistical hypothesis testing, often the null hypothesis is an assumption about the value of a population parameter. A sampie is selected from the population, and a point estimate is computed. By comparing the value of the point estimate to the hypothesized value of the parameter we draw a conclusion with respect to whether or not there is a suffıcient evidence to reject the null hypothesis. A decision is made and often a specific action is taken depending upon wlıether or not the null hypothesis about the population parameter is accepted or rejected.
Open Access
A course in information theory
(Almaty, Suleyman demirel university-2009, 2009) Arslanov M.Z.
Abstract. Information Theory is a fundamental field of study that plays a pivotal role in various aspects of modern technology, communication, and data science. This abstract provides an overview of a course in Information Theory, which covers the core principles and applications of this field.This course aims to introduce students to the foundational concepts of Information Theory, including entropy, information content, and coding theory. It explores the mathematical foundations of information and communication, enabling students to quantify and manipulate information in a systematic manner. Topics covered include Shannon's entropy, data compression, channel capacity, and error-correcting codes. Through a combination of theoretical lectures, practical exercises, and real-world applications, students will gain a comprehensive understanding of the principles that underlie the transmission and storage of information in various communication systems. They will also learn how these principles are applied in fields such as data compression, cryptography, and error detection and correction.The course is designed to cater to a diverse range of students, from those with a strong mathematical background to those with a more practical interest in communication and information technology. By the end of the course, students will not only be equipped with a solid theoretical foundation but will also have the skills to apply Information Theory to solve real-world problems, making it an essential part of the curriculum for anyone interested in the intersection of mathematics, computer science, and communication technology.
Open Access
ENTROPY AND ESCAPE OF MASS FOR SL3(Z)\ SL3(R)
(arXivLabs, 2010) Einsiedler M.; Kadyrov Sh.
We study the relation between measure theoretic entropy and escape of mass for the case of a singular diagonal flow on the moduli space of three-dimensional unimodular lattices.
Open Access
ENTROPY AND ESCAPE OF MASS FOR HILBERT MODULAR SPACES
(arXivLabs, 2011) Kadyrov Sh.
We study the relation between metric entropy and escape of mass for the Hilbert modular spaces with the action of a diagonal element.
Open Access
Algebraic numbers, hyperbolicity, and density modulo one
(Journal of Number Theory, 2012) Gorodnik A.; Kadyrov S.
We prove the density of the sets of the form λm 1 μn 1ξ1 +···+ λm k μn k ξk: m,n ∈ N modulo one, where λi and μi are multiplicatively independent algebraic numbers satisfying some additional assumptions. The proof is based on analysing dynamics of higher-rank actions on compact abelian groups.
Open Access
MICROLEARNING IN COMPUTER NETWORKS
(Faculty of Engineering and Natural Science, 2012) Zhamanov A.
In nowadays we have much kind of problems in the system of higher education. Actually there are a lot of reasons. But in this thesis I will explain only one reason. Only one but in my opinion it is one of the main reasons. Students especially in our university everyday get very huge amount of information. Every student can take up to 8-9 courses in one semester. During one day student will have to go to 5 - 6 lessons. From every lesson he will have to read at least one chapter. It will take about 1 - 2 hour to read chapter and to understand it. So you can see that it will take very big amount of time for a student to understand all lessons and it will be very hard for him/her to do everything in time. But this is only one side of a coin. According to a Soviet Union system of education. Student has to read very much if he wants to learn some topic. He reads a lot of information about the things that are concerned with his topic. This is a good practice but unfortunately not now. Because now it is information age. Information is increased every day. And it is not possible to know everything. Especially this is true for information technologies sphere where new technologies are developed every day. The thing that you learned yesterday may be not needed tomorrow because it will be old and new technologies will come and you will have to relearn again. So what can we do in this situation? We can use the microlearning method which is very popular now in the world. The main principle of this method is to divide one huge complex information into many small pieces and try to make them as easy as possible. Leave only main parts, only necessary things and try to give more good examples. This makes work very easy. You can learn a small part of information in 15 minutes and then practice it. And in this way you learn step by step until you will learn everything at all. Now when you know enough about this topic you can deal with complex things related to your topic. Because you are aware of what it is about. You have so called fundament. Let me show an example. Say you want to learn what Computer Networks is. We have many books that explain you what is this Science about. But most of these books are very huge and sometimes boring books. Instead many people are making search request in Google and find good tutorials for them. For example w3schools.com. Why? Because it will take about 20-30 minutes for you to understand the main principle of Computer Networks without going into details. If you want to learn more about this topic, ] mean if you want to learn some specific or more detailed information about it, then you can read a book. And because it has exhaustive examples that can teach you a lot. Also it is very good to memorize this topic. Now I will try to explain my idea more clearly.
Open Access
«МУЛЬТИСЕРВИСНАЯ СЕТЬ КАМПУСА СДУ»
(Faculty of Engineering and Natural Science, 2012) Амреев М.Б.
В последнее время с завидным постоянством идет речь о новинках интернеттехнологий, анонсируемых тем или иным оператором связи. Речь пойдет о технологии, которая в ближайшее время может заменить Егате Веау/АТМ. Это технология МРГ5, которая будет интересна по соотношению цена /качество прежде всего корпоративным клиентам. МРГ.$ (МиаРгоюсо| Габе! Зет?) — это технология коммутации пакетов на основе использования меток в многопротокольных сетях. МРГ5 изначально предназначена для построения магистральных [Р-сетей с высокими возможностями в области управления трафиком и качеством сервиса. Мешо Ещегте — это технология построения сетей агрегации на основе технологии Ефегпе{. Выбор Ефегтее не случаен, так как эта технология давно уже является стандартом де-факто для локальных сетей. Мено Еее: представляет собой концепцию предоставления услуг сети Ефегле: в масштабах города. Гибкость технологии Ефегпеь её относительная дешевизна, а также очень большая распространенность и вероятность поддержки сетевым оборудованием различных производителей делает Мено Ефегие! сети практически идеальным выбором для построения пакетной агрегационной магистрали города. Клиент в этом случае получает несколько вариантов виртуальных каналов связи с большим количеством параметров, ответственных за качество услуги, снижая при этом свои затраты на сетевое оборудование (сетевые интерфейсы типа Ефегпе! имеют низкую стоимость) и расходы на приобретение услуги (стоимость услуги на базе Ейегпе: ниже аналогичных услуг ввиду меньших затрат и расходов провайдера на поддержание и эксплуатацию оборудования сети Е#егпей. Мировая тенденция такова, что количество подключений по протоколу Егате Кеау постепенно уменьшается, подключения по протоколу АТМ держаться примерно на одном уровне, а число подключений к УРМ, построенным на базе МРТ.5, стремительно растет. В России, например, данная технология очень активно внедряется такими крупными телекоммуникационными операторами, как Едиат, ВТСошш, ТрансТелеКом.
Open Access
Fundamentals of Computer Networks in microleaming style: textbook
(Suleyman Demirel University, 2012) Zhamanov A.M.
The textbook describes the fundamentals of Computer Networks in microleaming style. Textbook represents theoretical and practicable interest contains usefiıl materials, illustrations and tables. Textbook is intended for students of IT engineers who study “Computer Networks” course in universities. In modem world, people are always busy with their concems. In addition to ali fhis not an excessive amount of relevant information is processed by our brain every day. In this regard, it is difficult to find time for leaming the requıred knowledge. For that reason I decided to write book in microleaming style, which will provide readers to gel required information in short time, because of microleaming style gives ability to ехріаіп a lot of thıngs without using much words which is separated into small parts.
Open Access
Решение дифференциальных уравнений с помощью исскусственных нейронных сетей
(faculty of engineering and natural sciences, 2013) Газизов Т.
We should note the special role of differential equations in the solution of many problems in mathematics, physics and engineering, as it is not always possible to establish a functional relationship between the data and the variables, but it is often possible to derive a differential equation that allows you to accurately predict the course of a particular process under certain conditions. Differential equations have great practical importance, being a powerful tool for exploring the many problems of science and technology: they are widely used in mechanics, astronomy, physics, in many problems of chemistry and biology. This is because very often the laws that govern certain processes are recorded in the form of differential equations, and the equations themselves act as a mean of quantitative interpretation of thus laws. To solve thus equations we take the most well suited networks belonging to a class of Hopfield neural networks. These networks have a way of transmitting output signals to the inputs, and the response of such networks is dynamic, i.e. after receive a new input the output is calculated and transmitting by feedback network modifies the input. Then the output is recalculated, and the process is repeated again. For the network, which can be considered as stable, the sequence of iterations lead to smaller changes in outputs, and at the end the output does not become permanent. There is also an unstable network, for which the process of selection of the output may never end. That's the essence of the network settings for gaining the desired result. Of course, there is also a classical numerical methods. But there are situations where these methods may not lead to a solution, or it can be obtained for a very large number of iterations. The neural network is much more flexible in this respect, and generally, an algorithm based on them is more efficient.
Open Access
Evaluation Performance of Students by use Neural Network in Kazakhstan
(Faculty of Engineering and Natural Science, 2013) Halil A.
This thesis evaluates the ability of Artificial Neural Networks (ANN) to predict the performance of Taldykorgan Kazakh Turkish High School students in Kazakhstan. Educational institutions take a big part in people life.School administrators and student's parents pay attention for the performance of the students. Academic researchers have developed several models to predict the improve the performance. Artificial Neural Networks have the potential to provide human characteristics of problem solving that are so difficult to simulate using the analytical. logical techniques of Decision Support System(DSS) . ANN can analyze big quantities of data to establish patterns and characteristics in situations where the rules or logic are not known(Turban,et al.2006). ANN model is designed, built on available student's data. The TANI forecasting program of ANN is used to predict the student's performance based on inputs and output parameters. N This study's result. shows that the neural network model can predict student's real performance with very small errors and predicts better when the today’s and future's samples have similar characteristics
Open Access
ОБУЧЕНИЕ ОСНОВАМ ПРОГРАММИРОВАНИЯ СТУДЕНТОВ, ОБУЧАЮЩИХСЯ ПО СПЕЦИАЛЬНОСТИ “МАТЕМАТИКА”
(Faculty of Engineering and Natural Science, 2013) Айтасов Р.
Данная исследовательская работа заключает в себе разбор языков програмирования и выбор наиболее оптимального силабуса дальнейшего обучения студентов на специальности «Математика» инженерного факультета университета имени Сулеймана Демиреля. В докладе предлагается своеобразное новое направление курса «Языки програмирования для математиков», а именно выбран подходящий формат обучения програмированию с точки зрения математического мышления.
Open Access
TEXT BASED DOCUMENT SIMILARITY MEASURE
(Suleyman Demirel University, 2013) Shnibekov Zh.
Do you have a shortage of data? Not very likely. A consequence of the pervasive use of computers is that most data originate in digital form. If we trade a stock or write a book or buy a product online, these events evolve electronically. Since so many paper transactions are now in paperless digital form, lots of “big” data are available for further analysis. The concept of data mining, finding valuable patterns in data, is an obvious response to the collection and storage of large volumes of data. Data mining is no longer an emerging technology awaiting further development. Although its application is far from universal, the techniques of data mining are highly developed and for some forms of analysis are entering a mature phase. We would like to say “Give us data and we will findthepatterns.”Unfortunately, data-mining methods expect a highly structured format for data, necessitating extensive data preparation. Either we have to transform the original data, or the data are supplied in a highly structured format.Data-mining methods learn from samples of past experience. If we speak to specialists in predictive data mining, their data will be in numerical form. These people are the “numbers guys.” The “text miners” do not expect an orderly series of numbers. They are happy to look at collections of documents, where the contents are readable and their meaning is obvious. This is our first distinction between data and text mining: numbers versus text. That doesn’t mean that these are two distinct concepts. Both are based on samples of past examples. The composition of the examples is very different, yet many of the learning methods are similar. That’s because the text will be processed and transformed into a numerical representation.
Open Access
НОВИКОВ АЛГЕБРАЛАРЫ ҮШІН ҚАРАСТЫРЫЛҒАН БУХБЕРГЕР АЛГОРИТМІ
(faculty of engineering and natural sciences, 2013) Ілияс Д.Т.
Given course work describes the Buchberger algorithm to defind Grébner basis for bicommutative algebra.
Open Access
Personalized Information Systems Enabling Technologies‘and Jameco Education Model
(Faculty of Engineering and Natural Science, 2013) Nevzat B.
All over the world, especially in developed or developing countries; the need for professional and technical people has become more important than ever. The world has become a village qualified workforce, that is becoming increasingly important in our time. The main aim of the college and vocational schools in Kazakhstan: prepare individuals for specialized professions. Kazakhstan is a developing country and their profession in a lot of experts on the state of the country as a result of violence, and it needs a lot of privately owned schools and vocational high schools were opened. Standards, as well as some of the state now come to these schools and colleges and the owners see these institutions as a result of the gate to make money in this profession very seriously and colleges suffered a serious loss of prestige. In addition, college students who finish school, they directly are led to decline in the quality of university education. There are 40 colleges and 20 vocational high schools in Zhambyl state on 01/01/2013. In these schools, approximately 38,500 students receive vocational and technical education. Kazakhstan has signed a number of educational innovation to put an end to all these deficiencies, and to train professionals and qualified vocational colleges and vocational high school students to succeed in college in 2012. First, college admission's test was required to obtain a certain score. For state universities 70 points, private universities 50 points. As a result of extensive media coverage of these negativities to find a place in the state of Zhambyl, international quality of Kazak-Turkish of economy college was affected. The number of students at the entrance to college last year decreased by 20% compared to the previous year. (330 students in 2012 to 400 students in 2011) Friendship and trust between Kazakhstan and Turkey, and at the same time which is representative of the economic cooperation between the two countries is an important contribution to the development. (1997-2013 Number of Graduates 315 842 Number of graduates working in companies that Kazakh Turkish cooperation is up to 40%)
Open Access
ОБУЧЕНИЕ ОСНОВАМ ПРОГРАММИРОВАНИЯ СТУДЕНТОВ, ОБУЧАЮЩИХСЯ ПО СПЕЦИАЛЬНОСТИ “МАТЕМАТИК
(2013) Айтасов Р.
Данная исследовательская работа заключает в себе разбор языков программирования и выбор наиболее оптимального силлабуса дальнейшего обучения студентов на специальности «Математика» инженерного факультета университета имени Сулеймана Демиреля. В докладе предлагается — своеобразное новое — направление курса — «Языки программирование для математиков», а именно выбран подходящий формат обучения программированию с точки зрения математического мышления.