Mathematical Statistics I(ECON207)
| Course Code | Course Name | Semester | Theory | Practice | Lab | Credit | ECTS |
|---|---|---|---|---|---|---|---|
| ECON207 | Mathematical Statistics I | 1 | 4 | 0 | 0 | 4 | 5 |
| Prerequisites | |
| Admission Requirements |
| Language of Instruction | French |
| Course Type | Compulsory |
| Course Level | Bachelor Degree |
| Course Instructor(s) | Renginar DAYANGAÇ renginnar@gmail.com (Email) |
| Assistant | |
| Objective | Introduction to probability theory |
| Content | Counting techniques, conditional probability, univariate and multivariate continous and discrete random variables, fonctions of random variables, expected value and variance, Tchebychev Inequality, Law of Large Numbers, Central Limit Theorem |
| Course Learning Outcomes | Ability to use counting techniques, to derive objective probabilty, to work with conditional probabilty and probaility distributions, to evaluate expected values and variances, to understand the probability implications of sampling and population. |
| Teaching and Learning Methods | Theoretical lectures, practice sessions and homeworks |
| References |
Schay, G. (2007), Introduction to probability with statistical application. Fouratié J. ve Laslier, J.F. (1987), Probabilités et statistiques. |
Theory Topics
| Week | Weekly Contents |
|---|---|
| 1 | Introduction: probabilty, subjective and objective probability concepts |
| 2 | Experiments and events and counting techniques |
| 3 | Probability of events: subsets, partitions and population |
| 4 | Conditional probability and Bayes Theorem |
| 5 | Univariate discrete and continous random variables |
| 6 | Mid-term |
| 7 | Biivariate discrete random variables |
| 8 | Bivariate continous random variables |
| 9 | Marginal and conditional distributions and independence |
| 10 | Fonctions of discrete random variables |
| 11 | Fonctions of continous random variables |
| 12 | Expected value and variance |
| 13 | Expected value and variance of functions of random variables |
| 14 | Tchebychev Inequality, Law of Large Numbers and the Central Limit Theorem |
Practice Topics
| Week | Weekly Contents |
|---|---|
| 1 | Basic terminology, review of set theory concepts |
| 2 | Counting techniques |
| 3 | Probability of events |
| 4 | Conditional probability and applications of Bayes Theorem |
| 5 | Probability laws and distributons, univariate discrete and continous random variables |
| 6 | Mid-term |
| 7 | Bivariate discrete random variables |
| 8 | Bivariate continous random variables |
| 9 | Conditional probability and independence |
| 10 | Fonctions of discrete random variables |
| 11 | Fonctions of continous random variables |
| 12 | Expected value and variance |
| 13 | Expected value and the variance of functions of random variables |
| 14 | Review-applied sessions |
Contribution to Overall Grade
| Number | Contribution | |
|---|---|---|
| Contribution of in-term studies to overall grade | 1 | 40 |
| Contribution of final exam to overall grade | 1 | 60 |
| Toplam | 2 | 100 |
In-Term Studies
| Number | Contribution | |
|---|---|---|
| Assignments | 0 | 0 |
| Presentation | 0 | 0 |
| Midterm Examinations (including preparation) | 1 | 100 |
| Project | 0 | 0 |
| Laboratory | 0 | 0 |
| Other Applications | 0 | 0 |
| Quiz | 0 | 0 |
| Term Paper/ Project | 0 | 0 |
| Portfolio Study | 0 | 0 |
| Reports | 0 | 0 |
| Learning Diary | 0 | 0 |
| Thesis/ Project | 0 | 0 |
| Seminar | 0 | 0 |
| Other | 0 | 0 |
| Toplam | 1 | 100 |
| No | Program Learning Outcomes | Contribution | ||||
|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | ||
| 1 | Demonstrate a basic knowledge of different economic theories and main discussions driving current theoretical approaches | |||||
| 2 | Demonstrate ability to use basic qualitative and quantitative methods to asses different economic questions of applied fields | X | ||||
| 3 | Show a sound understanding of current economic discussions and problems | |||||
| 4 | Have an effective and clear communication in written and oral formats in different public and professional contexts. | |||||
| 5 | Demonstrate basic knowledge of the world economic history and a sound knowledge of the Turkish economic history | |||||
| 7 | Demonstrate knowledge of standard quantitative techniques and empirical models used in economics | X | ||||
| 8 | Show ability to apply basic economic theory to an applied topic | X | ||||
| 9 | Show a basic understanding of analytical methods, both theory- and model-based | X | ||||
| 10 | Show ability to use economic concepts to discuss current economic issues | |||||
| 11 | Reason logically and work analytically | X | ||||
| 12 | Show awareness on social aspects of the economics in different applied and theoretical fields | |||||
| 13 | Identify appropriate economic models to analyse problems | |||||
| 16 | Show understanding of basic statistical and econometric concepts and ability to apply basic concepts to own empirical work | X | ||||
| 17 | Demonstrate a sound knowledge of the current economic issues in Turkey and a general knowledge of the issues in the world economy | |||||
| Activities | Number | Period | Total Workload |
|---|---|---|---|
| Class Hours | 1 | 56 | 56 |
| Working Hours out of Class | 1 | 28 | 28 |
| Assignments | 1 | 14 | 14 |
| Midterm Examinations (including preparation) | 1 | 25 | 25 |
| Final Examinations (including preparation) | 1 | 25 | 25 |
| Total Workload | 148 | ||
| Total Workload / 25 | 5.92 | ||
| Credits ECTS | 6 | ||