| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | MAT21120121310 | PROBABILITY AND STATISTICS -I | Compulsory | 2 | 3 | 5 |
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| Level of Course Unit |
| First Cycle |
| Objectives of the Course |
| The aim of the course is
• to teach Basic Concepts of Probability Theory.
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| Name of Lecturer(s) |
| Doç. Dr. Selahattin MADEN |
| Learning Outcomes |
| 1 | will develop the right thinking and the ability to comment and students will gain basic knowledge about mathematics. |
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| Mode of Delivery |
| Formal Education |
| Prerequisites and co-requisities |
| Yok |
| Recommended Optional Programme Components |
| Week 1 Random experiments
Week 2 Probability spaces
Week 3 Probability calculations
Week 4 Random variables and the independence of one random variable
Week 5 Distribution functions and features
Week 6 Distribution functions and features(more)
Week 7 Expected value
Week 8 Midterm exam
Week 9 Variance
Week 10 Mass moments
Week 11 Sample moments, convergence properties of the sample moments
Week 12 Covariance
Week 13 Correlation
Week 14 The expected value-related features.
Week 15 Variance on the properties.
Week 16 Final exam
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| Course Contents |
| • Random experiments.
• Probability spaces.
• Probability calculations.
• Random variables and the independence of one random variable.
• Distribution functions and features.
• Expected value,
• Variance,
• Mass moments,
• Sample moments,
• Convergence properties of the sample moments.
• Covariance.
• Correlation.
• The expected value-related features.
• Variance on the properties.
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| Weekly Detailed Course Contents |
|
| 1 | Random experiments
| | | | 2 | Probability spaces
| | | | 3 | Probability calculations
| | | | 4 | Random variables and the independence of one random variable
| | | | 5 | Distribution functions and features
| | | | 6 | Distribution functions and features(more)
| | | | 7 | Expected value
| | | | 8 | Midterm exam
| | | | 9 | Variance
| | | | 10 | Mass moments
| | | | 11 | Sample moments, convergence properties of the sample moments
| | | | 12 | Covariance
| | | | 13 | Correlation
| | | | 14 | The expected value-related features.
| | | | 15 | Variance on the properties.
| | | | 16 | Final exam
| | |
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| Recommended or Required Reading |
| 1. Olasılık ve İstatistik, Fikri Akdeniz, Baki Kitabevi, 2002.
2. Olasılığa Giriş, Selahattin Maden, Seçkin Yayıncılık, 2006
3. Probability (Theory and Problems) ,Seymour Lipschutz, Mc-Graw Hill International Book Company, New York,1979..
4. An Introduction to the Statistical Analysis of Data , Anderson T.W.and Selove S.L., Houghton Mifflin Company , Boston,1978.
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| Planned Learning Activities and Teaching Methods |
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| Assessment Methods and Criteria | |
| SUM | 0 | |
| SUM | 0 | | Yarıyıl (Yıl) İçi Etkinlikleri | 40 | | Yarıyıl (Yıl) Sonu Etkinlikleri | 60 | | SUM | 100 |
| | Language of Instruction | | Turkish | | Work Placement(s) | | Yok |
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| Workload Calculation |
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| Midterm Examination | 1 | 1.5 | 1.5 |
| Final Examination | 1 | 1.5 | 1.5 |
| Attending Lectures | 14 | 4 | 56 |
| Self Study | 14 | 3 | 42 |
| Individual Study for Homework Problems | 14 | 2 | 28 |
| Individual Study for Mid term Examination | 1 | 12 | 12 |
| Individual Study for Final Examination | 1 | 12 | 12 |
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| Contribution of Learning Outcomes to Programme Outcomes |
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| * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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