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Information
| Unit | FACULTY OF SCIENCE AND LETTERS |
| STATISTICS PR. | |
| Code | ISB461 |
| Name | Simulation and Modelling |
| Term | 2018-2019 Academic Year |
| Semester | 7. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 5 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Label | E Elective |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. HÜSEYİN GÜLER |
| Course Instructor |
Prof. Dr. HÜSEYİN GÜLER
(Güz)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
The aim of this course is to provide students with the knowledge of modelling analytically difficult problems encountered in Statistics. In addition to this, it is also aimed to bring the knowledge of obtaining an empirical solution of the problem with a simulation by creating a virtual experiment
Course Content
The definition and objective of simulation, techniques for simulation, mathematical modelling, programming in MATLAB, Monte Carlo estimation of a parameter of interest.
Course Precondition
Yok
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Students will be able to determine the difference between classical sampling approaches and simulation. |
| LO02 | Students will be able to generate random numbers from the uniform distribution within range (0,1) with random number generators. |
| LO03 | Students will be able to determine how they can generate random numbers from a distribution with probability integral transformation. |
| LO04 | Students will be able to model a real life phenomena with random variables. |
| LO05 | Students will be able to determine how they can estimate the model parameters with simulation. |
| LO06 | Students will be able to estimate the parameters of a large scale problem with simulations by using MATLAB. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Explain the essence fundamentals and concepts in the field of Probability, Statistics and Mathematics | 3 |
| PLO02 | - | Emphasize the importance of Statistics in life | 3 |
| PLO03 | - | Define basic principles and concepts in the field of Law and Economics | 0 |
| PLO04 | - | Produce numeric and statistical solutions in order to overcome the problems | 4 |
| PLO05 | - | Use proper methods and techniques to gather and/or to arrange the data | 1 |
| PLO06 | - | Utilize computer systems and softwares | 4 |
| PLO07 | - | Construct the model, solve and interpret the results by using mathematical and statistical tehniques for the problems that include random events | 5 |
| PLO08 | - | Apply the statistical analyze methods | 2 |
| PLO09 | - | Make statistical inference(estimation, hypothesis tests etc.) | 4 |
| PLO10 | - | Generate solutions for the problems in other disciplines by using statistical techniques | 2 |
| PLO11 | - | Discover the visual, database and web programming techniques and posses the ability of writing programme | 0 |
| PLO12 | - | Construct a model and analyze it by using statistical packages | 5 |
| PLO13 | - | Distinguish the difference between the statistical methods | 1 |
| PLO14 | - | Be aware of the interaction between the disciplines related to statistics | 3 |
| PLO15 | - | Make oral and visual presentation for the results of statistical methods | 4 |
| PLO16 | - | Have capability on effective and productive work in a group and individually | 4 |
| PLO17 | - | Professional development in accordance with their interests and abilities, as well as the scientific, cultural, artistic and social fields, constantly improve themselves by identifying training needs | 0 |
| PLO18 | - | Develop scientific and ethical values in the fields of statistics-and scientific data collection | 1 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Definitions and a review of probability and random variables | Appropriate chapter of lecture notes | |
| 2 | Random number generators | Appropriate chapter of lecture notes and reference book | |
| 3 | Simulating from some distributions | Appropriate chapter of lecture notes and reference book | |
| 4 | Simulating from some distributions | Appropriate chapter of lecture notes and reference book | |
| 5 | Algorithms and MATLAB | Appropriate chapter of lecture notes | |
| 6 | Generating random numbers and simulating some distributions with MATLAB | Appropriate chapter of lecture notes | |
| 7 | Generating random numbers and simulating some distributions with MATLAB | Appropriate chapter of lecture notes and reference book | |
| 8 | Mid-Term Exam | A review of topics about the midterm exam | |
| 9 | Estimation of a parameter with simulation | Appropriate chapter of lecture notes | |
| 10 | Estimation of a parameter with simulation | Appropriate chapter of lecture notes | |
| 11 | Applications of simulation 1: Estimation of a parameter, estimation of a probability | Appropriate chapter of reference book | |
| 12 | Applications of simulation 2: Estimation of a probability, hypothesis testing | Appropriate chapter of reference book | |
| 13 | Applications of simulation 3: Hypothesis testing, simulating a regression equation | Appropriate chapter of lecture notes | |
| 14 | Applications of simulation 4: Simulating a regression equation, Monte Carlo Integral | Appropriate chapter of lecture notes | |
| 15 | Applications of simulation 5: Monte Carlo Integral | Appropriate chapter of lecture notes | |
| 16 | Term Exams | A review of topics about the final exam | |
| 17 | Term Exams | A review of topics about the final exam |
Assessment (Exam) Methods and Criteria
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Midterm Exam | 50 | 20 |
| 1. Homework | 50 | 20 |
| General Assessment | ||
| Midterm / Year Total | 100 | 40 |
| 1. Final Exam | - | 60 |
| Grand Total | - | 100 |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 3 | 42 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 12 | 12 |
| Final Exam | 1 | 18 | 18 |
| Total Workload (Hour) | 114 | ||
| Total Workload / 25 (h) | 4,56 | ||
| ECTS | 5 ECTS | ||