Course Name Code Semester T+U Hours Credit ECTS
Probability IME 208 4 2 + 0 2 3
Precondition Courses
Recommended Optional Courses
Course Language Turkish
Course Level Bachelor's Degree
Course Type Compulsory
Course Coordinator Arş.Gör.Dr. ÖZKAN ERGENE
Course Lecturers Arş.Gör.Dr. ÖZKAN ERGENE,
Course Assistants

Res. Assist. Özkan ERGENE

Course Category Available Basic Education in the Field
Course Objective

Understanding the basic principle of counting and the basic problems related with probability, recognizing of distributions

Course Content

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.

# Course Learning Outcomes Teaching Methods Assessment Methods
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,
Week Course Topics Preliminary Preparation
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
Resources
Course Notes
Course Resources

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

 

 

Order Program Outcomes Level of Contribution
1 2 3 4 5
1 X
2 X
3 X
4
5
6
7
8
9
10
11
12
13
14
15
16
17
Evaluation System
Semester Studies Contribution Rate
1. Ödev 20
1. Ara Sınav 40
1. Kısa Sınav 20
2. Kısa Sınav 20
Total 100
1. Yıl İçinin Başarıya 50
1. Final 50
Total 100
ECTS - Workload Activity Quantity Time (Hours) Total Workload (Hours)
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
Total Workload 83
Total Workload / 25 (Hours) 3.32
dersAKTSKredisi 3