• Türkçe
  • English
Course Code: 
EDEM 208
Course Period: 
Spring
Course Type: 
Core
P: 
2
Credits: 
2
ECTS: 
3
Course Language: 
İngilizce
Course Objectives: 
The aim of this course is both to discuss and solve problems about fundamental principle of counting, permutation, combination and probability.
Course Content: 
Fundamental principle of counting; permutation concept and its applications; combination concept and its applications; binomial theorem, concept of probability, fundamental terms related to probability and probability axioms; conditional probability and Bayes’ theorem; problems of geometric probability; concept of random variable; probability function, probability frequency function; expectation and variance of random variables; moment-generating functions and moments; some discrete distributions Bernoulli, binomial, geometric, hypergeometric, Poisson distribution; some continuous distributions, regular distribution, exponential  distribution, normal distribution and their properties.

 

Course Methodology: 
1. Lecture 2. Case study 3. Discussion 4. Demonstration 5. Group work 6. Microteaching 7. Problem solving
Course Evaluation Methods: 
A. Supply type B. Multiple-choice test C. Incomplete D. True-False E. Oral exam F. Portfolio G. Performance type H. Report

Vertical Tabs

Course Learning Outcomes

Learning Outcomes Program Outcomes Teaching Methods Assessment Methods
1) Explains fundamental principle of counting. 1 1 A, E
2) Explains permutation and solves problems about permutation. 1, 3, 4 1, 7 A, E
3) Explains combination and solves problems about combination. 1, 3, 4 1, 7 A, E
4) Explains binomial expansion and makes exercises. 1, 3, 4 1, 7 A, E
5) Explains probability and types of probability. 1 1 A, E
6) Solves probability problems. 1, 3, 4 1, 7 A, E
7) Explains characteristics of probability function and solves related problems. 1, 3, 4 1, 7 A, E
8) Explains discrete and continuous distribution and solves related problems. 1, 3, 4 1, 7 A, E

 

Course Flow

COURSE CONTENT
Week Topics Study Materials
1 Fundamental principle of counting  
2 Permutation  
3 Permutation  
4 Combination  
5 Combination  
6 Binomial expansion  
7 Probability  
8 Midterm  
9 Probability  
10 Probability  
11 Random variables  
12 Discrete distributions  
13 Continuous distributions  
14 Problems  

 

Recommended Sources

RESOURCES
Compulsory Probability & Statistics for Engineers and Scientists, R.E. Walpole, R.H. Myers, S.L. Myers, and K. Ye, 8th Edition, Prentice Hall, 2007
Recommended  

 

Material Sharing

COURSE MATERIALS 
Documents  
Assignments  
Exams Midterm, quizzes, final exams

 

Assessment

ASSESSMENT
IN-TERM STUDIES Quantity Percentage
Midterm 1 40
Final 1 40
Quiz 2 20
Total   100
Contribution of Final Exam to Overall Grade   40
Contribution of In-term Studies to Overall Grade   60
Total   100

 

Course’s Contribution to Program

COURSE CONTRIBUTION TO PROGRAM OUTCOMES
No Program Outcomes Level of contribution
1 2 3 4 5
1 Knows historical, cultural and scientific developments of the mathematical concepts covered in elementary school mathematics curriculum     X    
2 Applies fundamental mathematical and geometric concepts into other disciplines and real life situations         X
3 Applies mathematical processes (e.g. problem solving, proving theorems, etc.) into given cases accurately.         X
4 Plans for mathematics teaching process in line with the elementary school curriculum’s vision, philosophy and goals   X      
5 Uses teaching strategies and techniques that are appropriate for students’ age, grade level, individual differences and readiness level   X      
6 Determines and applies appropriate strategies and materials to foster and evaluate students’ mathematical thinking skills. X        
7 Uses and develops appropriate resources and materials to teach mathematics       X  
8 Monitors students’ learning process, development and achievement and assesses them by using appropriate assessment tools X        
9 Improves professional knowledge by following recent issues in mathematics education X        
10 Contributes to the development of mathematics education by doing scientific research X        

 

ECTS

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
Activities Quantity Duration
(Hour)
Total Workload (Hour)
Course hours (including the exam week: 15 x total course) 15 2 30
Hours for off-the-classroom study (pre-study, practice) 15 1 15
Midterm 1 10 10
Quiz 2 5 10
Final 1 10 10
Total Workload     75
Total Workload / 25 (hours)     3
ECTS     3