| SOFTWARE ENGINEERING | |||||
| Bachelor | TR-NQF-HE: Level 6 | QF-EHEA: First Cycle | EQF-LLL: Level 6 | ||
| Course Code | Course Name | Semester | Theoretical | Practical | Credit | ECTS |
| MAT3026 | Probability and Statistics | Fall | 3 | 0 | 3 | 6 |
| Language of instruction: | English |
| Type of course: | Must Course |
| Course Level: | Bachelor’s Degree (First Cycle) |
| Mode of Delivery: | Face to face |
| Course Coordinator : | Instructor NERMINE AHMED EL SISSI |
| Course Lecturer(s): |
Dr. Öğr. Üyesi MÜRÜVVET ASLI AYDIN |
| Recommended Optional Program Components: | None |
| Course Objectives: | Topics in probability and statistics are introduced through their definitions leading to the development of basic probabilistic and statistical tools. Emphasis is placed on using these tools to solve engineering problems and to make informed decisions. |
|
The students who have succeeded in this course; 1) Calculate probability using permutations and combinations 2) Calculate probability of unions and intersects 3) Determine the reliability block diagram of a system of elements 4) Understand the conditional probability an apply on probability problems 5) Calculate probability using probability distribution functions 6) Calculate expectation values 7) Apply hypothesis testing 8) Determine confidence intervals |
| The course will cover the following topics: Counting and probability (both theoretical and experimental definitions); Rules of probability (based on set theory); conditional probability; The random variable; probability mass functions and density functions; Expectation values; sampling theory (mean and standard deviation); hypothesis testing; Confidence intervals (for the population mean, population standard deviation). |
| Week | Subject | Related Preparation |
| 1) | Introduction to the course. | |
| 2) | Counting and probability. | |
| 3) | Rules of Probability (sets, additive rules, independence), the Reliability Block Diagram. | |
| 4) | Conditional probability (independence, Bayes' theory). | |
| 5) | The random variable, and probability distributions (discrete and continuous) \ review. | |
| 6) | Expectation values: the population mean. | |
| 7) | Expectation values: the population standard deviation. | |
| 8) | Special discrete distributions (Geometric, Hypergeometric, Binomial, Poisson). | |
| 9) | Special continuous distributions (Exponential, Weibull, Normal). | |
| 10) | Sampling (the sampled mean and standard deviation, and their distributions) \ review. | |
| 11) | Hypothesis testing (p-values for the mean and standard deviation, t- and chi-square-distributions). | |
| 12) | Confidence intervals I - intervals for the mean, pairing, standard error in the sample mean. | |
| 13) | Confidence intervals II - intervals for the mean (two population) | |
| 14) | Confidence intervals III - intervals for the standard deviation. |
| Course Notes / Textbooks: | Walpole, Ronald E., et al. "Probability & Statistics for Engineers & Scientists", Prentice Hall, 9th ed. |
| References: | Douglas C. Montgomery & George C. Runger. "Applied Statistics and Probability for Engineers”; (2011) Wiley. Devore, Jay.; "Probability & Statistics for Engineering and the Sciences". CengageBrain.com. |
| Semester Requirements | Number of Activities | Level of Contribution |
| Midterms | 2 | % 60 |
| Final | 1 | % 40 |
| Total | % 100 | |
| PERCENTAGE OF SEMESTER WORK | % 60 | |
| PERCENTAGE OF FINAL WORK | % 40 | |
| Total | % 100 | |
| Activities | Number of Activities | Duration (Hours) | Workload |
| Course Hours | 14 | 3 | 42 |
| Study Hours Out of Class | 14 | 7 | 98 |
| Midterms | 1 | 2 | 2 |
| Final | 1 | 2 | 2 |
| Total Workload | 144 | ||
| No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
| Program Outcomes | Level of Contribution | |
| 1) | Be able to specify functional and non-functional attributes of software projects, processes and products. | |
| 2) | Be able to design software architecture, components, interfaces and subcomponents of a system for complex engineering problems. | |
| 3) | Be able to develop a complex software system with in terms of code development, verification, testing and debugging. | 3 |
| 4) | Be able to verify software by testing its program behavior through expected results for a complex engineering problem. | 2 |
| 5) | Be able to maintain a complex software system due to working environment changes, new user demands and software errors that occur during operation. | 3 |
| 6) | Be able to monitor and control changes in the complex software system, to integrate the software with other systems, and to plan and manage new releases systematically. | 2 |
| 7) | Be able to identify, evaluate, measure, manage and apply complex software system life cycle processes in software development by working within and interdisciplinary teams. | 3 |
| 8) | Be able to use various tools and methods to collect software requirements, design, develop, test and maintain software under realistic constraints and conditions in complex engineering problems. | 2 |
| 9) | Be able to define basic quality metrics, apply software life cycle processes, measure software quality, identify quality model characteristics, apply standards and be able to use them to analyze, design, develop, verify and test complex software system. | 1 |
| 10) | Be able to gain technical information about other disciplines such as sustainable development that have common boundaries with software engineering such as mathematics, science, computer engineering, industrial engineering, systems engineering, economics, management and be able to create innovative ideas in entrepreneurship activities. | 5 |
| 11) | Be able to grasp software engineering culture and concept of ethics and have the basic information of applying them in the software engineering and learn and successfully apply necessary technical skills through professional life. | |
| 12) | Be able to write active reports using foreign languages and Turkish, understand written reports, prepare design and production reports, make effective presentations, give clear and understandable instructions. | |
| 13) | Be able to have knowledge about the effects of engineering applications on health, environment and security in universal and societal dimensions and the problems of engineering in the era and the legal consequences of engineering solutions. |