الجامعة :جامعة المنصورة |
الكلية :كلية الحاسبات والمعلومات |
القسم :علوم الحاسب |
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| 1- بيانات المقرر :- |
| | الرمز الكودى: | احص 232 | | اسم المقرر: | الاحتمالات و التوزيعات الاحصائية | | الفرقة: | ثانية القسم العام | | عنوان البرنامج: | | | التخصص: | | | عدد الساعات: | نظري: | 3 | فصل: | 3 | عملى: | |
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| 2- أهداف المقرر :- |
| - To provide a solid introduction to probability theory and statistics. With this background the students should be able to specify and solve simple probabilistic problems. They should gain also some practice in working with basic statistical methods.
- Uncertainty and randomness, random experiments, probability spaces and events, sets and fields, probability distributions, probability approaches and measures, joint and conditional probability, dependent and independence.
- Probability by counting methods, permutations, combinations, Bernoulli trials, binomial probability law and applications.
- Single and pairs of random variables, discrete and continuous random variables, functions of random variables, joint and conditional distribution functions, important distribution functions and their applications in electrical engineering.
- Expected value and moments of random variables, mean and variance, correlation and covariance of pairs of random variables.
- Sums of random variables, sample mean and sample variance, the law of large numbers, central limit theorem, sampling distribution and confidence intervals.
- Applying methods of probability and statistics in computer science fields such as Natural Language Processing, Digital Signal Processing, Simulation, Machine Learning, Uncertainty, and Data and Text Mining.
- Developing skill in using computer methods for solving problems in probability and statistics.
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| 3- نواتج التعلم المستهدفة للمقرر :- |
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| 4- محتويات المقرر :- |
| | م | الموضوع | الأسبوع |
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| 1 | Continuous Random Variables | | | 2 | Jointly Distributed Random Variables | | | 3 | Properties of Expectation | | | 4 | Limit Theorems | | | 5 | Additional Topics in Probability | | | 6 | Simulation | | | 7 | Axioms of Probability | | | 8 | Conditional Probability and Independence | | | 9 | Random Variables | | | 10 | Discrete Distributions | |
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| 5- أساليب التعليم والتعلم :- |
| | م | الاسلوب |
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| Computer + Data Show + power point slides. | | Blackboard. | | Free Discussion. | | Different Software | | The presentation is problem-oriented and motivated by practical examples. | | Assignments are given which should be worked out independently and presented in the lecture. |
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| 6- أساليب التعليم والتعلم للطلاب ذوى القدرات المحدودة :- |
| لا توجد بيانات. |
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| 7- تقويم الطلاب :- |
| أ- التوقيت |
| | م | الطريقة | الأسبوع |
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| 1 | Mid-Term exam and Reports | 14 | | 2 | Oral and Practical | 15 |
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| ب- توزيع الدرجات |
| | م | الطريقة | الدرجة |
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| 1 | امتحان نصف الترم | 5 | | 2 | امتحان آخر الترم | 75 | | 3 | الامتحان الشفوى | 5 | | 4 | الامتحان العملى | 5 | | 5 | أعمال الترم | 5 | | 6 | طرق أخرى للتقييم | 5 | | المجموع | 100% |
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| 8- قائمة الكتب الدراسية والمراجع |
| | م | العنصر | النوع |
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| 1 | Ahmed E. Naghamish, "Probability Theory and Statistical Distributions for Computer Science", 2006. | | | 2 | John Willey & Sons. Probability and Statistics with Reliability, Queuing, and Computer Science Applications, 2nd Ed, 2001. | | | 3 | Sheldon Ross. A First Course in Probability, 5th Ed, 1998. | | | 4 | Ronald E. Walpole, Raymond H. Myers and Sharon L. Myers, Probability and Statistics for Engineers and Scientists, 6th Ed, 1998. | | | 5 | Different Web Sites | | | 6 | Different Periodicals. | |
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| 9- مصفوفة المعارف والمهارات المستهدفة من المقرر الدراسي |
| | م | المحتوى | أسبوع الدراسة |
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| Continuous Random Variables | | | Jointly Distributed Random Variables | | | Properties of Expectation | | | Limit Theorems | | | Additional Topics in Probability | | | Simulation | | | Axioms of Probability | | | Conditional Probability and Independence | | | Random Variables | | | Discrete Distributions | |
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| اساتذة المادة: - |
| - السيد فؤاد حسن رضوان
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| رئيس مجلس القسم العلمى: - |
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