COURSE DESCRIPTION AND APPLICATION INFORMATION

Course Name Code Semester T+A+L (hour/week) Type (C / O) Local Credit ECTS
Probability and Statistics FENS 200 Fall-Spring 03+02+00 Elective 4 4
Academic Unit: Faculty of Natural Science and Engineering
Mode of Delivery: Face to face
Prerequisites: -
Language of Instruction: English
Level of Course Unit: Undergraduate
Course Coordinator: - -
Course Objectives: The aim of this course is to introduce students to probability and statistical theory and applications and provide some basic information necessary for data analysis in engineering systems.
Course Contents: Module 1: Data presentations and analysis, probability concepts and probability axioms, random variables, mathematical averages
Module 2: Discrete and continuous probability distributions, probability calculations, common distributions, conditional probability and independence
Module 3: Probability distributions, estimation and confidence intervals, hypothesis testing
Module 4: Experimental design
Module 5: Risk and reliability concepts
Learning Outcomes of the Course Unit (LO):
  • 1- To calculate the statistics of numerical data
  • 2- Using probability concepts and random variables to represent uncertainties in events
  • 3- To determine the statistics of random variables
  • 4- To solve probability calculation problems involving probability density and cumulative distribution functions
  • 5- To recognize several common probability distributions and to solve distribution problems
  • 6- To be familiar with probability and statistics applications
  • 7- To be able to do experiment design, reliability and risk analysis
Planned Learning Activities and Teaching Methods: A total of 5 projects, which include laboratory work, interpretation of laboratory results, literature review calculations, presentations and writing reports The course consists of 5 modules. In each module consisting of 2 or 3 weeks, after the first week lecture, comprehension of the concepts is ensured by means of applications (experiments or observations). Finally, students are asked to explain the concepts they learned in each module by applying them on a project. The weight of the applications in the course evaluation is 10% and the project is 15%. In the project evaluation, 10% grade is given by the lecturer as project report and presentation evaluation, while 5% is given as peer evaluation.


WEEKLY SUBJECTS AND RELATED PREPARATIONS

WeekSubjectsRelated Preperation
1 A.1) Introduction to Statistics. Mean and deviation. Probability and counting rules. Conditional probability and Bayes rule.
2 A.2) Quality of life experiment application, making in-class calculations at the end of the course. Excel application
3 A.3) Presentation and discussion of the statistics and probability introduction project. Writing reports and making presentations.
4 B.1) Random Variables, Probability Distributions. Observations about Binom, Normal and Poisson distributions.
5 B.2) Box counting test application. Sample distribution and reliability range. Giving the control tables project as homework.
6 B.3) Project presentation of control tables project. Report writing, presentation and discussion.
7 Review and assessment
8 C.1) Experimental design lecture. Creating and testing models. Calculations with Excel.
9 C.2) Designing and testing a home-school route experiment. Application with Excel.
10 C.3) Presentation of project design and report preparation.
11 D.1) Reliability and risk analysis lecture. First degree reliability analysis. Examination of the systems.
12 D.2) Applications from Electric, Computer, Construction, Mechatronic systems. Project introduction
13 D.3) Reliability and risk analysis project presentations. Preparation and presentation of the report.
14 Review and assessment


REQUIRED AND RECOMMENDED READING

Walpole, R.E., R.H. Meyers, S.L Meyers, and K. Ye, Probability and Statistics for Engineers and Scientists, 9th Ed. Pearson International Edition, Prentice-Hall, 2012.


OTHER COURSE RESOURCES



ASSESSMENT METHODS AND CRITERIA

Semester RequirementsNumberPercentage of Grade (%)
Attendance / Participation 12 10
Midterms / Oral Exams / Quizes 1 20
Final Exam 1 30
Written presentations (reports) 4 10
Oral presentations 4 10
In-Class Application Reports 4 10
Project Presentations (Peer review) 4 10
Total: 30 100


WORKLOAD

EventsCountDuration (Hours)Total Workload (hour)
Course Hours121.518
Preparations (in class)12336
Preparations (out class)12672
Presentation121.518
Feedback/Class Discussions12112
Exam (Exam Hours and Preparation)11212
Total Workload (hour):168


THE RELATIONSHIP BETWEEN COURSE LEARNING OUTCOMES (LO) AND PROGRAM QUALIFICATIONS (PQ)

# PQ1 PQ2 PQ3 PQ4 PQ5 PQ6 PQ7 PQ8 PQ9 PQ10
LO1                    
LO2                    
LO3                    
LO4                    
LO5                    
LO6                    
LO7