| MATHEMATICS | |||||
| 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 | Spring | 3 | 0 | 3 | 6 |
| The course opens with the approval of the Department at the beginning of each semester |
| Language of instruction: | En |
| Type of course: | Must Course |
| Course Level: | Bachelor |
| Mode of Delivery: | Face to face |
| Course Coordinator : | Instructor NERMINE AHMED EL SISSI |
| Course Lecturer(s): |
Dr. Öğr. Üyesi MÜRÜVVET ASLI AYDIN |
| 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: | 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 |
| Attendance | 0 | % 0 |
| Laboratory | 0 | % 0 |
| Application | % 0 | |
| Field Work | % 0 | |
| Special Course Internship (Work Placement) | % 0 | |
| Quizzes | % 0 | |
| Homework Assignments | 0 | % 0 |
| Presentation | 0 | % 0 |
| Project | 0 | % 0 |
| Seminar | 0 | % 0 |
| Midterms | 2 | % 60 |
| Preliminary Jury | % 0 | |
| Final | 1 | % 40 |
| Paper Submission | % 0 | |
| Jury | % 0 | |
| Bütünleme | % 0 | |
| 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 |
| Laboratory | 0 | 0 | 0 |
| Application | 0 | 0 | 0 |
| Special Course Internship (Work Placement) | 0 | 0 | 0 |
| Field Work | 0 | 0 | 0 |
| Study Hours Out of Class | 14 | 7 | 98 |
| Presentations / Seminar | 0 | 0 | 0 |
| Project | 0 | 0 | 0 |
| Homework Assignments | 0 | 0 | 0 |
| Quizzes | 0 | 0 | 0 |
| Preliminary Jury | 0 | 0 | 0 |
| Midterms | 1 | 2 | 2 |
| Paper Submission | 0 | 0 | 0 |
| Jury | 0 | 0 | 0 |
| Final | 1 | 2 | 2 |
| Total Workload | 144 | ||
| No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
| Program Outcomes | Level of Contribution |