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| BIL2016 | | 3+1+0 | ECTS:5 | | Year / Semester | Spring Semester | | Level of Course | First Cycle | | Status | Compulsory | | Department | DEPARTMENT of COMPUTER ENGINEERING | | Prerequisites and co-requisites | None | | Mode of Delivery | Face to face | | Contact Hours | 14 weeks - 3 hours of lectures and 1 hour of practicals per week | | Lecturer | Dr. Öğr. Üyesi Gül TAHAOĞLU | | Co-Lecturer | None | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | The objective of this course is to provide computer engineering students the basic probability / statistics concepts and theory. |
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | learn basic probabilistics principals | 12 | 1 | | LO - 2 : | gain probablity distribution and models | 12 | 1 | | LO - 3 : | learn basic statistics principals | 12 | 1 | | LO - 4 : | learn to solve based probabity theory some problems in computer engineneering | 12 | 1 | | CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), LO : Learning Outcome | | |
| Basic concepts, basic axioms, geometric probability; conditional probability, independent events, Bayes formula, random variables and their characteristics, distribution of random variables, cdf, pdf, classification of distributions: discrete distributions, continuous distributions, expected value, variance, multivariable distribution functions, mixed distributions, percentile function; median, marginal distributions, conditional distributions, moments, moment generating functions, covariance, correlation, Maximum Likelihood Estimation, MAP Estimation, regression, confidence interval |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Basic Concepts: Stochastic process, sample space, event, certain event, impossible event; Basic operations on events; Probability Models in Discrete Sample Spaces; Traditional Probability Model | | | Week 2 | Basic axioms of probability theory and basic results from these axioms | | | Week 3 | Geometric probability; Conditional probability; Multiplication of Probabilities; Independence of Events; Bayes formula | | | Week 4 | Random variable and its characteristics: Concept, basic characteristics | | | Week 5 | Distribution of random variables; cumulative distribution function; Probability (density) function; Basic characteristics of a distribution function | | | Week 6 | Classification of distributions: discrete distributions (Bernoulli, Binomial, Geometric, Poisson), continuous distributions (uniform, exponential, gauss, Gamma, Erlang, Chi-square, Rayleigh, Weibull) | | | Week 7 | The expected value of the random variable; Expected value properties | | | Week 8 | Variance and standard deviation of random variable; Basic characteristics of variance | | | Week 9 | Mid-term exam | | | Week 10 | Bivariate distribution functions; Marginal distributions; Conditional distributions | | | Week 11 | Multivariate distribution functions; Mixed distributions, percentile function; median | | | Week 12 | A statitics application: Bayes Classifier | | | Week 13 | Histogram; Moments; Center Moments; Skewness; Kurtosis; Moment Generating Functions; Covariance; correlation | | | Week 14 | Estimation; Maximum likelihood estimation; Biased / unbiased estimations; MAP estimation; Bayes estimation | | | Week 15 | Regression; Confidence interval | | | Week 16 | End-of-term exam | | | |
| 1 | Probability and Statistics for Engineering and the Sciences 9th Edition - Jay L. Devore, Brooks Cole, 9 edition, 2015, 792 pages | | | |
| 1 | Probability and statistics 4th Edition - Morris H. DeGroot, Pearson, 4 edition, 2011, 912 pages. | | | 2 | Statistics 12th Edition - James T. McClave, Terry T. Sincich, Pearson, 12 edition, 2012, 840 pages | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | | 2 | 50 | | Quiz | 12 | 03/05/2013 | 1 | 20 | | End-of-term exam | 15 | | 2 | 50 | | |
| Student Work Load and its Distribution | | Type of work | Duration (hours pw) | No of weeks / Number of activity | Hours in total per term | | Yüz yüze eğitim | 4 | 14 | 56 | | Sınıf dışı çalışma | 5 | 14 | 70 | | Arasınav için hazırlık | 2 | 5 | 10 | | Arasınav | 2 | 1 | 2 | | Kısa sınav | 1 | 1 | 1 | | Dönem sonu sınavı için hazırlık | 2 | 5 | 10 | | Dönem sonu sınavı | 2 | 1 | 2 | | Diğer 1 | 10 | 3 | 30 | | Total work load | | | 181 |
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