Ders Planı

ISTANBUL AYDIN UNIVERSITY

CLASS 1

CLASS 4

Lesson plan /

Lesson Information

Course Credit
Course ECTS Credit
Teaching Language of Instruction	İngilizce
Level of Course	Bachelor's Degree, TYYÇ: Level 6, EQF-LLL: Level 6, QF-EHEA: First Cycle
Type of Course
Mode of Delivery	Face-to-face
Does the course require compulsory or optional work experience?
Course Coordinator	Prof. Dr. SELİN SONER KARA
Instructor (s)
Course Assistant

Purpose and Content

The aim of the course	Cognition of probability, usage of probability properties for simple and complex probability calculations, understanding of discrete and continous probability bases mathematically.
Course Content	Descriptive statistics, set theory, sample space,probability, conditional probability, bayes theory, random variables, discrete and continuous probability distributions, joint probabilities, variance and covariance, some discrete and continuous probability distrubions,sampling distributions, estimation theory, hypothesis testing

Learning Outcomes

Adequate knowledge of mathematics, physical sciences and engineering of individual branches; Ability to apply theoretical and practical knowledge in relevant fields in modeling and solving engineering problems.
Ability to identify, define, formulate and solve complex engineering problems; Ability to select and apply appropriate analysis and modeling methods for this purpose.
The ability to design a complex system, process, device or product to meet specific requirements, under realistic constraints and conditions; Ability to apply modern design methods for this purpose
Ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering practices; Ability to use information technologies effectively.
Ability to design, conduct experiments, collect data, analyze and interpret results for the study of complex engineering problems or discipline-specific research issues.
Ability to work effectively in intradisciplinary and multidisciplinary teams; individual work ability.
Awareness of the necessity of lifelong learning; The ability to access information, follow developments in science and technology and constantly renew oneself.
Acting in accordance with ethical principles, awareness of professional and ethical responsibility; Information about standards used in engineering applications
Designs a complex system, process, device or product to meet specific requirements under realistic restrictions and conditions; implements the modern design methods.
Information about the effects of engineering practices on health, environment and security at universal and social dimensions and the problems of the age reflected in the field of engineering; Awareness of the legal consequences of engineering solutions
Ability to communicate effectively verbally and in written Turkish; knowledge of at least one foreign language; Ability to write effective reports and understand written reports, prepare design and production reports, make effective presentations, give and receive clear and understandable instructions.
The ability to rally an organization around a vision and apply entrepreneurial and leadership skills.
Ability to use appropriate analytical, experimental and computational methods to ensure system integration; Ability to design, develop and improve these integrated systems that include people, materials, information, equipment and energy
Ability to follow innovations and scientific publications in the field of Industrial Engineering; Ability to develop new and creative solutions to meet customer needs and demands and capture market opportunities, taking into account Occupational Safety and worker health issues.

Weekly Course Subjects

1	Descriptive Statistics, Introduction to Probability
2	Probability of an Event, Additive Rules, Multiplicative Rules
3	Conditional Probability,Dependent and Independent Events, Bayes Theorem
4	Random Variables, Discrete and Continuous Sample Space
5	Some Discrete Probability Distributions,Uniform Distribution, Binomial Distribution, Hypergeometric Distribution
6	Some Discrete Probability Distributions, Negative Binomial Distribution, Geometric Distribution, Poisson Distributions
7	Some Continous Probability Distributions, Uniform Distribution,Normal Distribution
8	1st midterm
9	Some Continous Probability Distributions, Exponential Distributions
10	Sampling distributions
11	Sampling distributions,t distribution, chi-squared distribution, F distribution
12	Estimation theory
13	Estimation theory
14	Tests of hypotheses

Resources

1-WALPOLE R.E., MYERS R.H., MYERS S.L. YE K.E., Probability and Statistics for Engineers and Scientists, 9th Edition, Prentice Hall, 2011.

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