احصاء - دكتوراة
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Item Some Generalization of Topological Spaces(2017) Magaidh Saleh Mohammed AL-garadiAbstract In this thesis we study new types of separation axioms where the possibility of separating two points or two sets or a point and a set has been studied using the new concept of β-open sets. We have also identified some special spaces such as externally disconnected spaces(E.D space) with some properties of open sets. Moreover, new types of compactness have been treated according to β-open sets and the relationship between the different types of compactness has been studied. ملخص في هذه الرسالة ندرس أنواع جديدة من موضوعات الفصل ، وقد تم د ا رسة إمكانية فصل اثنين من النقاط أو مجموعتين أو نقطة ومجموعة باستخدام كذ لك عرفنا بعض الفضاءات .β مفهوم جديد لممجموعات المفتوحة من النوع الخاصة مثل الفضاءات غير المت ا ربطة كميا بالإضافة الى ذلك عرفنا أنواع وكذلك درسنا .β جديدة من الت ا رص بواسطة المجموعات المفتوحة من النوع العلاقات بين أنواع الت ا رص المختمفة .Item نموذج قياسي كلي للإقتصاد اليمني(2012) خالد احمد محمد المسنيAbstract This study is based on designing a holistic a macro-econometric model of Yemen in with the aim of predicting the future trends of the economic variables in Yemen and to reach the required rate of growth of the economy and identify the investments that should be available to achieve this growth. The model was constructed based on four standards namely; the economic theory features and structure of tlle Yemeni economy, utilizing or benefiting from the previous evaluative research conducted in Yemen and the extent to which the data were available and were detailed. The model is based on a time series of annual data for the period (1990-2008) which are of a real value. The model is also characterized with its dynamic nature as it consists of lagged variables, and it employs the dummy variables to take into consideration the structural variables and political circumstances in Yemen. It also encompasses 41 equations including 16 behavioral equations. The current study models are placed in four major blocks which constitute the supply and demand sides of Yemeni economy which are the real sector, the govermnent sector, the monetary sector and the external sector. For estimating the model, two phases were performed: The first stage: In this phase, the solution of the behavioral equations was conducted by using ordinary least squares (OLS), and the model estimation was a difficult and challenging as it included numerous attempts in order to reach to the final form which can be consistent with the economic theory, and by which, the standard and statistical tests and the specificity of the structure of the Yemeni economy. The second phase: Model Stimulation: The second phase began with identifying each equation of the model and placing them in the Simultaneous Equation Model. D It also includes solving the entire equations of tlle model fully using the three — stage- least squares (3 SLS). After carrying out the process of identifying the model to determine the appropriate way of estimating the model, it was found that each behavioral equation with over loft diagnosis meets the requirements of tlle necessary condition for the diagnosis, which is the Order Condition. After carefully reviewing the values of the variables (equations), and subjecting them to well- known statistical tests to ensure the reliability of the estimates and their conformity with the expectations of the theoretical side, the final model was determined. After the completion of the estimation, the suitability and validity of the model were tested by carrying out dynamic simulation for the period of time (1990-2008) upon which the model was constructed and tested by using a group of criteria to measure the extent of the deviation between the estimated numbers and the actual figures of the intemal variables. The model simulation and tests showed that the majority of the variables of the model achieved satisfactory results, and the model managed to largely simulate the historical and actual or real pattern of the major variables, and based on such findings, the model can be used to achieve a number of goals including: -Predicting the future trends for the macro-economic variables of the Yemeni economy for the period (2009-2020). -Estimating the required rate of growth of the economy (44%) of the value of the GDP. -To achieve the required growth, investments need to be estimated (3,548,613) million YR. -Recognizing the impact of implementing certain policies and alternatives through simulation.Item تقويم اساليب تدريس منهج الرياضيات للمرحلة الثانوية في ولاية اعالي النيل بجمهورية جنوب السودان(2014) شارلس تيتوتيبو اديبوAbstract The study aims at finding out the evaluation of teaching methods of mathematics of secondary stage of Sudan in Upper Nile State of The Republic of South Sudan , according to opinions of the teachers and supervisors of mathematics in the state , and also finding out their own opinions about the contribution of educational technology in developing means of teaching mathematics . ' The researcher in this study dealt with the population who is much concem about the problems of education for developing educational operation . At last the study achieved numerous objectives . The researcher used descriptive method which based on theoretical aspects for achieving the hypothesis of the study . To collect data and information related to the study , the researcher used the questionnaire for teachers who are teaching mathematics in governmental schools and nongovemmental ( private ) schools , and he also used interviews for supervisors of mathematics to achieve the research targets with addition to the mathematics test for second year secondary school students in four State secondary schools , to find out the strengths and weakness of teaching curriculum , such as assessment and evaluation for their understandings . The sample and population of the study were (60) teachers of mathematics in secondary schools and ( 9) supervisors of mathematics in secondary stage in Upper Nile State. The researcher used statistical package for social sciences (SPSS ) to analyse the data , used also logical analysis descriptive method to analyse the information and interviews . The researcher arrived at the following findings : 1- The crowdies of classroomsin schools . 2- Lack of training mathematics teachers . 3- Lack of academic and educational experience among mathematics teachers . 4- Lack of teaching aids in schools . The ‘researcher gives a number of recommendations to the people who are responsible for education curriculuins in usual and specially the mathematics curriculum of secondary schools :- 1- The importance of using educational technology in teaching mathematics in secondary schools . 2- Improving students performance and helping them in absorbing the subject as possible as can . ( 3- Providing teacher’s proofs containfng enrichment questions that are concemed with the supportive subjelct . 4- Finding monthly and quarterly exams in order to improve the perfonnance of studentsItem The Theory of Mathematical Control and it’s Application in Power Systems Wireless(2017) Thwiba Abdulslam Khalid AbdulrhmanAbstract The mathematical theory of control is very essential in engineering and networks. We consider some application of this theory to power control in time varying wireless networks and also the application to power delayed control system in wireless networks, where the users of the network are in relative motion. We showed that in this case if the solution of the power of the system exists, the solution is uniformly asymptotically stable. It is also showed that the stability is global.Item Factors Affecting Under-Five Mortality in Sudan (1996-2006)(جامعة النيلين, 2012) Hagir Osman EljackAbstract This thesis focuses on the factors affecting child mortality in Sudan. It specifically examines how under-five mortality is related to the bio-demographic, socio-economic and household’s environmental characteristics such as age of mother at childbearing, if the birth is single or twin, preceding birth interval, sex of the child, order of birth, place of residence, mother’s educational level, fertility of women, household size, wealth index, source of drinking water, type of toilet facility, material of roof, material of floor and place for cooking and fuels for cooking. The study’s source of the data is Sudan Household Health Survey (SHHS), which conducted in 2006. Since the dependent variable is the survival status of the child at the time of the survey (Alive/Dead), the data has been analyzed using logistic regression. Child mortality model has been estimated and found that the risk factors associated with under-five mortality in Sudan were age of mother at childbearing, if the birth is single or twin, preceding birth interval, source of drinking water, type of toilet facility and place for cooking and two interaction variables; twinity of births and fertility of women, and preceding birth interval and place of residence. Also, differentials in risk factors by North/South regions have been investigated and found that the risk factors associated with under-five mortality in North Sudan were age of mother at childbearing, if the birth is single or twin, preceding birth interval, fertility of women, source of drinking water and place for cooking while the risk factors in South Sudan were preceding birth interval, fertility of women, if the birth is single or twin and type of toilet Also, results revealed that the most risky factors affecting child mortality in Sudan were the bio-demographic and environmental factors.Item تطوير مناهج الرياضيات بالمرحلة الثانوية في السودان(جامعة النيلين, 2015) غادة فاروق الطيب أحمد الهاديملخص البحث باللغة العربية هذا البحث يتحدث عن مناهج الرياضيات بالمرحلة الثانوية بالسودان ومدى مواكبتها للثورة التعليمية الحديثة وطريقة تطويرها، وذلك باستعراض أهدافها ومقرراتها ومقارنتها بالجودة الشاملة والمعايير التي يجب اتباعها حتى نتمكن من التأكد من تماشيها مع المعايير التعليمية الحديثة. استخدمت الباحثة المنهج الوصفي التحليلي لتحليل مناهج الرياضيات بالمرحلة الثانوية مع استعراض لمناهج مرحلة الأساس، وثم تصميم استبانة لمعلمي الرياضيات بالمرحلة الثانوية في ولاية الخرطوم تتكون من ست محاور هي: 1/ محور الأهداف 2/ محور المحتوى 3/ محور طرائق أساليب التدريس 4/ محور الوسائل التعليمية 5/ محورالتقويم 6/ محور الصعوبات وقد اختارت الباحثة العينة الاستطلاعية الأساسية بالطريقة العشوائية، وقد توصلت الباحثة إلى استنتاجات منها: - في محور الأهداف بالمرحلة الثانوية يحقق الجزء اليسير من أهداف منهج الرياضيات التي وضع من أجلها. - محتوى المنهج لا يتصف بمواصفات المحتوى الجيد. - طرق وأساليب التدريس تساهم في تحقيق أهداف منهج الرياضيات. - الوسائل التعليمية لا تزيد دافعية الطلاب نحو تعلم الرياضيات، ولا تتناسب مع موضوعات المحتوى المقررة. - التقويم لا يرتكز على اهداف خاصة ولا يتصف بالموضوعية ولا يستخدم أسلوب التقويم المستمر بل يستخدم لتقويم الطلاب في نهاية العام. - توجد صعوبات في تدريس مادة الرياضيات منها: عدم توفير الكتاب المدرسي، الأجهزة والمعدات التعليمية، قلة المعلمين المدربين والمؤهلين، ضعف الإمكانيات بالمدرسة، عدم فاعلية الموجهين الفنيين، انشغال المعلمين بالدروس الخاصة وعمل المجموعات. وفي ضوء نتائج البحث خرجت الباحثة بمجموعة من الاستنتاجات كما قدمت عدداً من التوصيات ومنها: أن هناك قصوراً في مناهج الرياضيات في ضوء المعايير الحديثة، وقدمت عدداً من المقترحات لتلافي هذا القصور. Abstract This research speaks about curriculum of mathematics of the secondary school in Sudan and how it fulfills the new scientific revolution and how it can be improved through evaluation of its aims and subjects and comparison with modern needs and requirements to achieve required educational objectives. The researcher adopted the descriptive analytical method for analyzing mathematical curriculum of the secondary school with simple demonstration of the basic curriculum of mathematics. A questionnaire has been designed and implemented. The target category is the teachers of mathematics of the secondary schools in Khartoum province. The questionnaire consists of six domains: 1\ Objectives 2\ content 3\ style and way of teaching 4\ Educational technique 5\ evaluation 6\ obstacles The researcher chooses a random sample, and concluded the following: - The aims of the curriculum have not been fulfilled except for a few points. - The content is not considered to be good. - The style and way of teaching participate in fulfilling the aims of the curriculum of mathematics. - The education techniques do not make studentsattracted to mathematics nor are they suitable for the content of the curriculum. - Evaluation does not depend on private aims or use the continuous evolutional methods, but only limited to evaluation at the end of the year. - So many obstacles are present. - Shortage of school books. - Absence of new equipments and teaching instruments. - Deficiency of trained and qualified teachers. - Mathematics teachers are busy by private lessons and group teaching. - Weakness of finance in schools. From the results obtained, the researcher concluded certain results and made some recommendations and explained some shortages in mathematics curriculum in correlation with the new standard measures and made many suggestions to overcome these shortages.Item Optimality Problem of Portfolio in an Incomplete Markets(جامعة النيلين, 2015) Budoor Mohammed Abd ElatiAbstract The main objective of this thesis is to study the optimal portfolio problem in incomplete markets. The problem of finding such optimal portfolio is of connection to solve partial differential equations corresponding to the infinitesimal generator of the process describing the risky assets in the given markets.Is the method used to find the solution of the a rising partial differential equation is a viscosity concept .As an application for finding optimal portfolio a consumption problem is considered. Due to the incompleteness of the markets they the problem is challenging because the best strategy we aim will not be perfect. Abstract (Arabic) الهدف الرئيسي من هذه الرسالة هو د ا رسة مشكلة امثلية المحافظ المالية في الاسواق المالية غير المكتملة، مع د ا رسة قضية الاستهلاك الامثل هذه الد ا رسة تتطلب البحث عن حل للمعادلة التفاضلية المناظرة لمولد العملية المتناهية الصغر العشوائية التي تصف سعر الاسهم ذات المخاطرة. هذه المعادلات التفاضلية ترتبط بمسألة شروط وجود المحافظ المالية المطلوبة. هذه الشروط تؤطر لمجموعة من المتباينات )تفاضلية( تم د ا رستها و ايجاد الحل اللزج لها.Item تقويم تدريس الرياضيات في محافظة كوستي بالمرصحلة الثانوية Evaluation of teaching mathematics in the province of Kosti(2010) مواهب الأمين احمد الحاجAbstract The aim of this research is to deal with the problems of teaching Mathematics at the Secondary school Level in the province of Kosti , and to gather the various opinions of the teachers and directors on the subject and to understand the effects of these problems on teaching mathematics. This research focuses on the teacher`s qualifications and the efforts required to develop their skills. It also aims to study the students acquisition when taught by a substitute teacher compared to those taught be a specialize teacher. The aim is also to study the level of acquisition of the students located in the Kosti rural area. 4 The research gives attention to the private schools and visual aids affordability and the efforts carried out by the governor of the state to develop the schools and to solve the problems facing the mathematic teachers . All mentioned projects are to enhance the efficiency required wherein lies recommendations for execution. The researcher has chosen the descriptive and analytical methods. A questionnaire has been designed and implemented , the targeted categories are the teachers and directors and a test is designed for a group of students. The research is organized in Four Chapters, Chapter One handles the theoretical frame work which includes an introduction concerning the education problems that impedes the teaching of mathematics in the Arab world . This chapter presents the significance of the research ,the hypotheses, the statement of the problem, the research objectives and the terminology utilized. Chapter Two discusses the teacher s qualifications, training , the syllabus design. Chapter Three presents the various opinions of categories concerned . The questionnaire has been used where statistical analysis are utilized to get the fruits that support the opinions. The researcher depends on the descriptive and analytical statistics to explain measurements and comparisons. The computer statistic package (SPSS) for a sample of (30) measures validity and reliability, thus a comparison of two varieties such as, independence ,differences etc. is provided. The researcher depended on observation. The findings present recommendations and further studies . Chapter Four concerns the students assessment and acquisition , where the researcher has implemented the statistical analysis method for the purpose, the research also includes summary of the previous studies. ملخص البحث سوف نتحدث في موضوع هذ ا البحث عن بعض مشاكل تعليم الرياضيات في محافظة كوستي بالمرحلة الثانوية و التعرف على آر اء المعلمين و الموجهين حو ل المشكلت التي تو اجه تدريس الرياضيات بالمرحلة الثانوية و التعرف على مدى تأثير تلك المشكلت على تدريس مادة الرياضيات. وسوف نتناو ل أيضاًا معلم الثانوي ومؤهلته و المجهود ات المبذولة لتأهيله , وكما ندرس مستوى تحصيل الطل ب الذين تم تدريسهم من قبل معلم بديل وطل ب تم 5 تدريسهم من قبل معلم متخصص وسوف ندرس ايضاًا مستوى تحصيل طل ب ريفي مدينة كوستي. نتناو ل أيضا التعليم الخا ص في المحافظة و الوسائل التعليمية المتاحة لتدريس مادة الرياضيات ومجهود ات الولية لتطوير المد ارس ودر اسة العديد من المشاكل الرخرى التي تو اجه معلمي الرياضيات حتى نتمكن من الوصو ل الى الجودة المطلوبة و ايجاد الحلو ل المناسبة ورفع التوصيات للتنفيذ. استخدمت الباحثة المنهج الوصفي و التحليلي حيث تم تصميم استبيانة للمعلمين و الموجهيين و اجر اء ارختبار تحصيلي للطل ب . و اشتملت الدر اسة على اربعة فصو ل موزعة الى : البا ب الو ل : الطار النظري بد ات الدر اسة بالمقدمة التي تشمل مشكلت تعليم الرياضيات في العالم العربي وأهد اف تعليم الرياضيات ,معلومات عن مدينة كوستي ,موضوع البحث,فروض البحث,آليات البحث,مشكلة البحث و اهميته,أهد اف البحث,مسلمات البحث وحدوده,وتعريف مصطلحات البحث . اما البا ب الثاني (معلم الرياضيات و السعي نحو الجودة) يشتمل على تدريب وتأهيل و اعد اد معلم الرياضيات , ومناهج الرياضيات و السعي نحو الجودة اما البا ب الثالث اشتمل على التعرف على ار اء مجموعة البحث حو ل المشكلت وعلى ضوء الجانب العملي ( الستبانة ) ، استخدمنا التحليل الحصائي للوصو ل إلى نتائج تفيدنا في توضيح رؤيتنا لر اء المجموعة للمشكلت ( آرخذين في العتبار بان الستبيان عبارة عن المشاكل التي تو اجهها مادة الرياضيات وبالستناد على فرضيات البحث ) . وتعتبر بناء الستبانة وتحليلها الحصائي هو الجانب العملي ، وفي التحليل الحصائي اعتمدنا على الحصاء الستدللي و الوصفي ( لتوضيح المقاييس وعقد المقارنات ) و الحصاء الستدللي استخدمنا فيه أرختبار مربع كاي للستقللية وهو مناسب للعتبار ات التية : 1 (حجم العينة ( الستبيان ) أكبر من 30. 2 (يوفر المقارنة لمتغيرين ( إستقللية ، إرختلف ، ألخ ...) 3 (يعتمد على المشاهد ات الملحظة و المشاهد ات اللحقة . كما تم وإيجاد الحلو ل لها وتقديم توصيات ومقترحات البا ب الر ابع أشتمل على تقويم تحصيل الطل ب بإجر اء ارختبار تحصيلي , وأشتمل أيضاًا على ملخص للدر اسات السابقة .Item دراسة تحليلية للتمويل الاصغر لمصرف الادخار و التنمية الاجتماعية بالسودان من 2008-2013م(جامعة النيلين, 2016) ايمن محمد عثمان سيدAbstract Addressed in this study the subject entitled: Microfinance in Sudan case of the Bank of Savings and Social Development in Sudan in the period (2008 - 2013) study was initiated interest in the poor classes since for quite some time, where it was the formulation and development of strategies aim was to raise the level of income following the macro-economic policy objectives, and financing, social and financial policies, as Anbr funding of the most important economic and social development factors to drive the economy and achieve the desired goals. We find that the funding will help in the development of small and developing countries, especially the projects and the reduction of the unemployment problem, but a holy grail in the emergence of the boom economic, where small projects funded by the Savings and Social Development Bank plays an important role in creating jobs, thus alleviating the poverty, and helps families lacking to alternative sources of income to create jobs have so they can do some projects that are commensurate with it. We try in this Aldrsah answer some of the questions which were represented in: Did the Savings and Social Development Bank of Sudan following the policies that have led to poverty alleviation in the Sudan? What are the policies that I follow supervises savings bank and access to the target segments? Find Aa analytical method has been adopted. The research found several results was that most of Almstvidet of funding are male, and they go to the bank on their own, which means that the culture of the bank amounted to everybody, and that the payment is in the form of premiums after the productivity of the project, as the study proved that the funding policies of the Savings Bank of dealing with small projects are successfully completed. I recommend Find the need to increase the funding ceiling for small projects by the bank and the interest of all commercial banks financing requirements for small enterprises and the development of financial plans to her, and the removal of barriers to organizational policies and government policies for the banking system, and the establishment of a standing committee and a panel of bankers to pursue small businesses owners to ensure their continuity, and work to find definitive solutions to the problems of small businesses.Item تطوير مناهج الرياضيات بالمرحلة الثانوية في السودان(جامعة النيلين, 2015) غادة فاروق الطيب أحمد الهاديملخص البحث باللغة العربية هذا البحث يتحـدث عـن مناهـج الرياضـيات بالمرصحلـة الثانويـة بالسودان ومدى مواكبتها للثورة التعليمية الحديثة وطريقة تطويرها، وذلـك باسـتعراض أهـدافها ومقرراتهـا ومقارنتهـا بـالجودة الشـاملة والمعايير التي يجب اتباعها صحتى نتمكن من التأكد مـن تماشـيها مـع المعايير التعليمية الحديثة. استخدمت الباصحثـة المنهـج الوصـفي التحليلـي لتحليـل مناهـج الرياضيات بالمرصحلة الثانوية مع استعراض لمناهج مرصحلـة السـاس، ورثم تصميم استبانة لمعلمي الرياضيات بالمرصحلة الثانوية فــي وليــة الخرطوم تتكون من ست محاور هي: 1 /محور الهداف 2 /محور المحتوى 3 /محور طرائق أساليب التدريس 4 /محور الوسائل التعليمية 5 /محور التقويم 6 /محور الصعوبات وقد اختارت الباصحثة العينة الستطلعية الساسية بالطريقة العشوائية، وقد توصلت الباصحثة إلى استنتاجات منها: - في محور الهداف بالمرصحلة الثانويـة يحقـق الجـزء اليسـير من أهداف منهج الرياضيات التي وضع من أجلها. - محتوى المنهج ل يتصف بمواصفات المحتوى الجيد. - طرق وأساليب التدريس تساهم فـي تحقيـق أهـداف منهـج الرياضيات. - الوســائل التعليميــة ل تزيــد دافعيــة الطل ب نحــو تعلــم الرياضيات، ول تتناسب مع موضوعات المحتوى المقررة. 5 - التقويم ل يرتكز على اهداف خاصة ول يتصف بالموضوعية ول يستخدم أسلو ب التقويم المستمر بـل يسـتخدم لتقـويم الطل ب في نهاية العام. - توجد صـعوبات فـي تـدريس مـادة الرياضـيات منهـا: عـدم توفير الكتا ب المدرسي، الجهزة والمعدات التعليميــة، قلــة المعلميـــن المـــدربين والمـــؤهلين، ضـــعف المكانيـــات بالمدرســة، عــدم فاعليــة المــوجهين الفنييــن، انشــغال المعلمين بالدروس الخاصة وعمل المجموعات. وفي ضوء نتائج البحث خرجت الباصحثة بمجموعة من ا الستنتاجات كما قدمت عددًا من التوصيات ومنها: أن هناك قصورً في مناهج الرياضيات في ضوء المعايير الحديثة، وقدمت عددًا من المقترصحات لتلفي هذا القصور. 6 Abstract This research speaks about curriculum of mathematics of the secondary school in Sudan and how it fulfills the new scientific revolution and how it can be improved through evaluation of its aims and subjects and comparison with modern needs and .requirements to achieve required educational objectives The researcher adopted the descriptive analytical method for analyzing mathematical curriculum of the secondary school with .simple demonstration of the basic curriculum of mathematics A questionnaire has been designed and implemented. The target category is the teachers of mathematics of the secondary .schools in Khartoum province :The questionnaire consists of six domains 3\ style and way of teaching 2\ content Objectives \1 6\ obstacles Educational technique 5\ evaluation \4 The researcher chooses a random sample, and concluded the :following The aims of the curriculum have not been fulfilled except - .for a few points .The content is not considered to be good - The style and way of teaching participate in fulfilling the - .aims of the curriculum of mathematics The education techniques do not make students attracted - to mathematics nor are they suitable for the content of the .curriculum 7 Evaluation does not depend on private aims or use the - continuous evolutional methods, but only limited to .evaluation at the end of the year .So many obstacles are present - .Shortage of school books - .Absence of new equipments and teaching instruments - .Deficiency of trained and qualified teachers - Mathematics teachers are busy by private lessons and - .group teaching .Weakness of finance in schools - From the results obtained, the researcher concluded certain results and made some recommendations and explained some shortages in mathematics curriculum in correlation with the new standard measures and made many suggestions to overcome these .shortages