Probability and Statistics I (MATH291) Course Detail

Course Name	Course Code	Season	Lecture Hours	Application Hours	Lab Hours	Credit	ECTS
Probability and Statistics I	MATH291	3. Semester	3	0	0	3	5

Pre-requisite Course(s)
N/A

Course Language	English
Course Type	Service Courses Taken From 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 Coordinator
Course Lecturer(s)
Course Assistants
Course Objectives	In addition to some tools for classification, summarization 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; Upon completing of the course, students are expected to: 1- learn how to organize a set of data 2- be able to summarize the data by using the measures of central tendency and dispersion 3- calculate the probability with the assistance of basic concept of probability including some counting techniques, permutations and combinations 4- have the ability to use conditional probability, Bayesian approach and statistically independency within probability problems 5- be able to calculate the mean and standard deviation with expected value concept by understanding the difference between discrete and continuous random variables, 6- have the ability to use some probability distributions such as binomial and normal probability functions.
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-Experiment, Sample Space,	pp. 127-130
6	Classical / 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 Indpendency	pp. 142-145
10	Random Variables, Probability Function	pp. 147-150
11	Expected Value and Its Properties, Mean and Standard Deviation	pp. 155-157
12	Binomial Distribution	pp. 167-168
13	Normal Distribution, Standard Normal Variable, Z table	pp. 182-185
14	Problems on Normal Distribution and Vice-Verse 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. D.H. Sanders, R. K. Simidt, Statistics, A First Course, 1990

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
#	Program Qualifications / Competencies	1	2	3	4	5
1	Ability to determine, identify, formulate and solve the problems in the field of aviation management; for this purpose, ability to select and apply appropriate methods of analyzing and modelling			X
2	Adequate knowledge in the areas of business, management, and aviation management; ability to apply to identify and solve the problems encountered in the field of air transport operations and theoretical and practical knowledge in these areas.			X
3	Ability to design to meet the specific requirements of complex system or process related to aviation management, under realistic constraints and conditions; for this purpose, ability to apply modern design methods.( Realistic constraints and conditions, depending on the nature of the design, contain items as economics, environmental issues, sustainability, manufacturability, ethical, health, safety, social and political problems.)
4	The ability to select, use and develop of modern techniques and tools that are needed for the applications needed in aviation management;the ability to use information technologies effectively.
5	To examine the problem of aviation management experimental design, conducting experiments, collecting data, analyzing and interpreting the results skills.					X
6	The ability to work effectively in the disciplinary and multi-disciplinary teams; individual study skills.
7	Effective verbal and written communication skills in English; follow the information and developments in the field and be able to share with other people, use it in the B1 level of European Language Portfolio, knowing at least one foreign language.
8	Aware of the necessity of lifelong learning, ability to access to information, follow developments in science and technology and continuous self-renewal ability.
9	Information about business applications such as project management, risk management and change management; awareness of entrepreneurship, innovation and sustainable development.				X
10	Information about the effects of aviation management applications on health, environment and safety in the universal and social dimensions and be aware of the legal consequences of the applications to be performed.
11	To possess conscious about the effects of management and workplace applications of aviation management enterprises on occupational and environmental safety and the health of employees, as well as awareness about legal consequences of these applications.			X
12	To possess conscious about responsibility of professional and ethics.

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