ECTS - Introduction to Probability and Statistics-I
Introduction to Probability and Statistics-I (MATH293) Course Detail
| Course Name | Course Code | Season | Lecture Hours | Application Hours | Lab Hours | Credit | ECTS |
|---|---|---|---|---|---|---|---|
| Introduction to Probability and Statistics-I | MATH293 | Diğer Bölümlere Verilen Ders | 3 | 0 | 0 | 3 | 5 |
| Pre-requisite Course(s) |
|---|
| None |
| Course Language | Turkish |
|---|---|
| Course Type | Service Courses Given to Other Departments |
| Course Level | Bachelor’s Degree (First Cycle) |
| Mode of Delivery | Face To Face |
| Learning and Teaching Strategies | Lecture, Question and Answer, Problem Solving. |
| Course Lecturer(s) |
|
| Course Objectives | In addition to some tools for classification, summarizing and making sense of data, to provide students with basic probability knowledge and certain probability distributions |
| Course Learning Outcomes |
The students who succeeded in this course;
|
| Course Content | Basic Definitions, Tables and Graphs, Central Tendency Measures, Central Dispersion Measures, Probability Concept, Conditional Probability, Bayesian Approach, Random Variables, Expected Value, Binomial and Normal Distributions. |
Weekly Subjects and Releated Preparation Studies
| Week | Subjects | Preparation |
|---|---|---|
| 1 | Basic Definitions, Frequency Distributions | pp. 3-5 |
| 2 | Relative, Cumulative, Cumulative Relative Frequency Distributions, Graphs, Stem and Leaf Display | pp. 24-28 |
| 3 | Central Tendency Measures; Mean, Median and Mode for Unclassified and Classified Data | pp. 73-76 |
| 4 | Central Dispersion Measures; Variance, Standard Deviation, Coefficient of Variation, Chebyshev Theorem | pp. 93-100 |
| 5 | Probability Concept, Random Event-Random Experiment, Sample Space | pp. 127-130 |
| 6 | Clasical / Postrerior Probability Definitions, Rule of Counting; Permutation and Combination, Multiplication Rule | pp. 135-137 |
| 7 | Midterm Exam | |
| 8 | Venn Diagrams, Contingency table, Conditional Probability | pp. 138-140 |
| 9 | Bayesian Approach, Statistical Independency | pp. 142-145 |
| 10 | Random Variables, Probability Function, Probability Distribution Table | pp. 147-150 |
| 11 | Expected Value and Its Properties, Mean and Standard Deviation | pp. 155-157 |
| 12 | Binomial Distribution | pp. 167-168 |
| 13 | Properties of Normal Distribution, Standard Normal Variable, Z table | pp. 182-185 |
| 14 | Problems on Normal Distribution and Opposite Usage of Z table (Cut-off value ) | pp. 199-205 |
| 15 | Review | |
| 16 | Final Exam |
Sources
| Course Book | 1. D.H. Sanders, R. K. Simidt, Statistics, A First Course, 1990 |
|---|---|
| Other Sources | 2. Yrd. Doç. Dr. Burhan ÇİL, ‘ İstatistik’, Tutibay Yay., 1994 |
| 3. Elementary Statistics, A step by step Approach, Bluman, 2001 |
Evaluation System
| Requirements | Number | Percentage of Grade |
|---|---|---|
| Attendance/Participation | - | - |
| Laboratory | - | - |
| Application | - | - |
| Field Work | - | - |
| Special Course Internship | - | - |
| Quizzes/Studio Critics | - | - |
| Homework Assignments | 2 | 10 |
| Presentation | - | - |
| Project | - | - |
| Report | - | - |
| Seminar | - | - |
| Midterms Exams/Midterms Jury | 2 | 50 |
| Final Exam/Final Jury | 1 | 40 |
| Toplam | 5 | 100 |
| Percentage of Semester Work | 60 |
|---|---|
| Percentage of Final Work | 40 |
| Total | 100 |
Course Category
| Core Courses | |
|---|---|
| Major Area Courses | |
| Supportive Courses | |
| Media and Managment Skills Courses | |
| Transferable Skill Courses |
The Relation Between Course Learning Competencies and Program Qualifications
| # | Program Qualifications / Competencies | Level of Contribution | ||||
|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | ||
| 1 | Has the ability to apply scientific knowledge gained in the undergraduate education and to expand and extend knowledge in the same or in a different area | |||||
| 2 | Can apply gained knowledge and problem solving abilities in inter-disciplinary research | |||||
| 3 | Has the ability to work independently within research area, to state the problem, to develop solution techniques, to solve the problem, to evaluate the obtained results and to apply them when necessary | |||||
| 4 | Takes responsibility individually and as a team member to improve systematic approaches to produce solutions in unexpected complicated situations related to the area of study | |||||
| 5 | Can develop strategies, implement plans and principles on the area of study and can evaluate obtained results within the framework | |||||
| 6 | Can develop and extend the knowledge in the area and to use them with scientific, social and ethical responsibility | |||||
| 7 | Has the ability to follow recent developments within the area of research, to support research with scientific arguments and data, to communicate the information on the area of expertise in a systematically by means of written report and oral/visual presentation | |||||
| 8 | To have an oral and written communication ability in at least one of the common foreign languages ("European Language Portfolio Global Scale", Level B2) | |||||
| 9 | Has software and hardware knowledge in the area of expertise, and has proficient information and communication technology knowledge | |||||
| 10 | Follows scientific, cultural, and ethical criteria in collecting, interpreting and announcing data in the research area and has the ability to teach. | |||||
| 11 | Has professional ethical consciousness and responsibility which takes into account the universal and social dimensions in the process of data collection, interpretation, implementation and declaration of results in mathematics and its applications. | |||||
ECTS/Workload Table
| Activities | Number | Duration (Hours) | Total Workload |
|---|---|---|---|
| Course Hours (Including Exam Week: 16 x Total Hours) | |||
| Laboratory | |||
| Application | |||
| Special Course Internship | |||
| Field Work | |||
| Study Hours Out of Class | 14 | 3 | 42 |
| Presentation/Seminar Prepration | |||
| Project | |||
| Report | |||
| Homework Assignments | |||
| Quizzes/Studio Critics | |||
| Prepration of Midterm Exams/Midterm Jury | 2 | 10 | 20 |
| Prepration of Final Exams/Final Jury | 1 | 15 | 15 |
| Total Workload | 77 | ||