| Ders Adı | Kodu | Yarıyıl | T+U Saat | Kredi | AKTS |
|---|---|---|---|---|---|
| Probabılıty | IME 208 | 4 | 2 + 0 | 2 | 3 |
| Ön Koşul Dersleri | |
| Önerilen Seçmeli Dersler | |
| Dersin Dili | Türkçe |
| Dersin Seviyesi | Lisans |
| Dersin Türü | Zorunlu |
| Dersin Koordinatörü | Doç.Dr. ÖZKAN ERGENE |
| Dersi Verenler | Doç.Dr. ÖZKAN ERGENE, |
| Dersin Yardımcıları | Res. Assist. Özkan ERGENE |
| Dersin Kategorisi | Alanına Uygun Temel Öğretim |
| Dersin Amacı | Understanding the basic principle of counting and the basic problems related with probability, recognizing of distributions |
| Dersin İçeriği | The basic principle of counting; Permutation concept and applications; Combination concept and applications; Binom's theorem; Concept of probability; Basic concepts of probability and probability axioms; Conditional probability and Bayes' theorem; Geometric probability problems; Random variable concept; Probability function; Probability density function; Expected value and variance of random variables; Moment generating functions and moments; Some discrete distributions; Bernoulli, binomial, geometric, hypergeometric, Poisson distributions; Some continuous distributions; Uniform distribution; Exponential distribution; Normal distribution and properties. |
| # | Ders Öğrenme Çıktıları | Öğretim Yöntemleri | Ölçme Yöntemleri |
|---|---|---|---|
| 1 | Students understand the basic principle of counting. | Lecture, Drilland Practice, | Testing, |
| 2 | Students can define permutations and combinations. | Lecture, Drilland Practice, | Testing, |
| 3 | Students can explain basic concepts about probability. | Lecture, Drilland Practice, | Testing, |
| 4 | Students can explain the conditional probability. | Lecture, Drilland Practice, | Testing, |
| 5 | Students can solve geometric probability problems. | Lecture, Drilland Practice, Problem Solving, | Testing, |
| 6 | Students can explain the probability function and the probability density function. | Lecture, Drilland Practice, | Testing, |
| 7 | Students can explain some discrete distributions. | Lecture, Drilland Practice, | Testing, |
| 8 | Students can explain some continuous distributions. | Lecture, Drilland Practice, | Testing, |
| Hafta | Ders Konuları | Ön Hazırlık |
|---|---|---|
| 1 | The basic principle of counting / Permutation concept and applications | |
| 2 | Combination concept and applications / Binom's theorem | |
| 3 | Concept of probability / Basic concepts of probability and probability axioms | |
| 4 | Conditional probability and Bayes' theorem | |
| 5 | Geometric probability problems / Random variable concept | |
| 6 | Probability function / Probability density function | |
| 7 | Expected value and variance of random variables | |
| 8 | Moment generating functions and moments | |
| 9 | Midterm | |
| 10 | Some discrete distributions/ Bernoulli, binomial, geometric, hypergeometric, Poisson distributions | |
| 11 | Some continuous distributions | |
| 12 | Uniform distribution | |
| 13 | Exponential distribution | |
| 14 | Normal distribution and properties |
| Kaynaklar | |
|---|---|
| Ders Notu | |
| Ders Kaynakları | Olasılık ve İstatistik, Fikri Akdeniz, Akademisyen Kitabevi Olasılık ve İstatistik - Problemler ve Çözümleri İle, Semra Oral Erbaş, Gazi Kitabevi Olasılık Problemleri, Ömer Faruk Gözükızıl-Metin Yaman, Sakarya Yayıncılık Olasılık, Hüseyin Demir, Nobel Akademik Yayıncılık Olasılık Problemleri, Ömer Faruk Gözükızıl-Metin Yaman, Sakarya Yayıncılık Olasılık ve İstatistik, Mustafa Balcı-Şükran Özdemir, Delta Kültür Yayınevi
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| Değerlendirme Sistemi | |
|---|---|
| Yarıyıl Çalışmaları | Katkı Oranı |
| 1. Ödev | 20 |
| 1. Ara Sınav | 40 |
| 1. Kısa Sınav | 20 |
| 2. Kısa Sınav | 20 |
| Toplam | 100 |
| 1. Yıl İçinin Başarıya | 50 |
| 1. Final | 50 |
| Toplam | 100 |
| AKTS - İş Yükü Etkinlik | Sayı | Süre (Saat) | Toplam İş Yükü (Saat) |
|---|---|---|---|
| Course Duration (Including the exam week: 16x Total course hours) | 16 | 2 | 32 |
| Hours for off-the-classroom study (Pre-study, practice) | 16 | 2 | 32 |
| Mid-terms | 1 | 5 | 5 |
| Quiz | 2 | 3 | 6 |
| Assignment | 1 | 3 | 3 |
| Final examination | 1 | 5 | 5 |
| Toplam İş Yükü | 83 | ||
| Toplam İş Yükü / 25 (Saat) | 3,32 | ||
| Dersin AKTS Kredisi | 3 | ||