| 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
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| 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. |
| Week | Subjects | Related Preperation |
| 1 |
A.1) Introduction to Statistics. Mean and deviation. Probability and counting rules. Conditional probability and Bayes rule. |
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| 2 |
A.2) Quality of life experiment application, making in-class calculations at the end of the course. Excel application |
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| 3 |
A.3) Presentation and discussion of the statistics and probability introduction project. Writing reports and making presentations. |
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| 4 |
B.1) Random Variables, Probability Distributions. Observations about Binom, Normal and Poisson distributions. |
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| 5 |
B.2) Box counting test application. Sample distribution and reliability range. Giving the control tables project as homework. |
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| 6 |
B.3) Project presentation of control tables project. Report writing, presentation and discussion. |
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| 7 |
Review and assessment |
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| 8 |
C.1) Experimental design lecture. Creating and testing models. Calculations with Excel. |
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| 9 |
C.2) Designing and testing a home-school route experiment. Application with Excel. |
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| 10 |
C.3) Presentation of project design and report preparation. |
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| 11 |
D.1) Reliability and risk analysis lecture. First degree reliability analysis. Examination of the systems. |
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| 12 |
D.2) Applications from Electric, Computer, Construction, Mechatronic systems. Project introduction |
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| 13 |
D.3) Reliability and risk analysis project presentations. Preparation and presentation of the report. |
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| 14 |
Review and assessment |
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At Kadir Has University, a Semester is 14 weeks; The weeks 15 and 16 are reserved for final exams.
THE RELATIONSHIP BETWEEN COURSE LEARNING OUTCOMES (LO) AND PROGRAM QUALIFICATIONS (PQ)
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PQ1 |
PQ2 |
PQ3 |
PQ4 |
PQ5 |
PQ6 |
PQ7 |
PQ8 |
PQ9 |
PQ10 |
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| LO7 |
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Contribution: 1 Low, 2 Average, 3 High