Course Name  
Code  Semester  Theory (hour/week)  Application/Lab (hour/week)  Local Credits  ECTS 

Fall 
Prerequisites  None  
Course Language  
Course Type  Required  
Course Level    
Mode of Delivery    
Teaching Methods and Techniques of the Course  Problem Solving  
Course Coordinator    
Course Lecturer(s)  
Assistant(s)   
Course Objectives  
Learning Outcomes  The students who succeeded in this course;

Course Description 
 Core Courses  X 
Major Area Courses  
Supportive Courses  
Media and Managment Skills Courses  
Transferable Skill Courses 
Week  Subjects  Required Materials 
1  Combinatorial analysis  Chapter 1 
2  Geometric probability  Chapter 1 
3  Axioms of probability  Chapter 2 
4  Properties of probability  Chapter 4 
5  Conditional probability and independence of events  Chapter 3 
6  Total Probability Formula and Bayes' Formula  Chapter 3 
7  Random variables and properties of distribution functions  Chapter 4 
8  Types of random variables, Some discrete random variables  Chapter 4 
9  Some continuous random variables  Chapter 5 
10  Expected value  Chapter 4 
11  Expectation of a function of a random variable  Chapters 4 & 5 
12  Variance  Chapters 4 & 5 
13  Hazard rate functions  Chapter 5 
14  The wellknown distribution functions  Chapters 4 & 5 
15  Mean Residual Life function  Chapter 5 
16  Review of the semester 
Course Notes/Textbooks  “A First Course in Probabilty” by Sheldon Ross. 
Suggested Readings/Materials  “Probability and Statistics for Engineers and Scientists” by Ronald Walpole, Raymond Myers, Sharon Myer. 
Semester Activities  Number  Weigthing 
Participation  1  10 
Laboratory / Application  
Field Work  
Quizzes / Studio Critiques  3  15 
Portfolio  
Homework / Assignments  
Presentation / Jury  
Project  
Seminar / Workshop  
Oral Exam  
Midterm  1  35 
Final Exam  1  40 
Total 
Weighting of Semester Activities on the Final Grade  5  60 
Weighting of EndofSemester Activities on the Final Grade  1  40 
Total 
Semester Activities  Number  Duration (Hours)  Workload 

Course Hours (Including exam week: 16 x total hours)  16  4  64 
Laboratory / Application Hours (Including exam week: 16 x total hours)  16  
Study Hours Out of Class  15  3  
Field Work  
Quizzes / Studio Critiques  3  3  
Portfolio  
Homework / Assignments  
Presentation / Jury  
Project  
Seminar / Workshop  
Oral Exam  
Midterms  1  22  
Final Exams  1  25  
Total  165 
#  Program Competencies/Outcomes  * Contribution Level  
1  2  3  4  5  
1  To have a grasp of basic mathematics, applied mathematics and theories and applications of statistics.  X  
2  To be able to use theoretical and applied knowledge acquired in the advanced fields of mathematics and statistics,  X  
3  To be able to define and analyze problems and to find solutions based on scientific methods,  X  
4  To be able to apply mathematics and statistics in real life with interdisciplinary approach and to discover their potentials,  X  
5  To be able to acquire necessary information and to make modeling in any field that mathematics is used and to improve herself/himself,  X  
6  To be able to criticize and renew her/his own models and solutions,  X  
7  To be able to tell theoretical and technical information easily to both experts in detail and nonexperts in basic and comprehensible way,  X  
8  To be able to use international resources in English and in a second foreign language from the European Language Portfolio (at the level of B1) effectively and to keep knowledge uptodate, to communicate comfortably with colleagues from Turkey and other countries, to follow periodic literature,  X  
9  To be familiar with computer programs used in the fields of mathematics and statistics and to be able to use at least one of them effectively at the European Computer Driving Licence Advanced Level,  X  
10  To be able to behave in accordance with social, scientific and ethical values in each step of the projects involved and to be able to introduce and apply projects in terms of civic engagement,  X  
11  To be able to evaluate all processes effectively and to have enough awareness about quality management by being conscious and having intellectual background in the universal sense,  X  
12  By having a way of abstract thinking, to be able to connect concrete events and to transfer solutions, to be able to design experiments, collect data, and analyze results by scientific methods and to interfere,  X  
13  To be able to continue lifelong learning by renewing the knowledge, the abilities and the compentencies which have been developed during the program, and being conscious about lifelong learning,  
14  To be able to adapt and transfer the knowledge gained in the areas of mathematics and statistics to the level of secondary school,  
15  To be able to conduct a research either as an individual or as a team member, and to be effective in each related step of the project, to take role in the decision process, to plan and manage the project by using time effectively. 
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest