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Course Description

Course summary

We start the course by introducing the set theory and counting concepts. The axioms of probability will be given and events, sample points, and sample space will be described. Furthermore, many examples will be solved in the meantime. The additive rule and multiplicative rule will be introduced. The Bayes’ rule and many applications will be discussed. The concept of random variables and the probability distribution function will be examined and different types of random variables will be considered. We introduce the cumulative distribution and the expected value will be studied. The historical discussion of probability leads to the application of expected functions in Game theory. Different familiar discrete and continuous distributions will be studied and their application and approximations will be considered.


Course description

Probability introduces students to the basic concepts and logic of statistical reasoning and gives the students introductory-level practical ability to choose, generate, and properly interpret appropriate descriptive and inferential methods. In addition, the course helps students gain an appreciation for the diverse applications of statistics and its relevance to their lives and fields of study. Throughout the course, there are many interactive elements. These include simulations, “walk-throughs” that integrate voice and graphics to explain an example of a procedure or a difficult concept, and, most prominently. The course is built around a series of carefully devised learning objectives that are independently assessed.


Learning outcomes

  • Define the principal concepts of probability,
  • Express the concepts of the factorial and the basic principle of counting,
  • Solve the problems about permutation, combination, and Binomial Theorem,
  • Express the concept of probability and its features,
  • Explain the concept of a random event,
  • Express the probability definitions,
  • Define the sample space,
  • Formulate theorems about the concept of probability,
  • Calculate probabilities using Conditional probability, the Rule of total probability, and Bayes’ theorem,
  • Explain the concept of a random variable and the probability distributions,
  • Define the concept of a random variable,
  • Express the features of discrete and continuous random variables,
  • Formulate the distribution functions,
  • Calculate the expected value and the moments,
  • Calculate the expected value of a random variable,
  • Calculate the expected value of a function of a random variable,
  • Express the variance of a random variable.


What will I learn in this course?

  • Many definitions and concepts in probability,
  • The origin of probability and historical discussion on this field,
  • Conditional probability and its applications,
  • The different distributions and their applications,
  • Random variables and different types of their distributions,
  • Joint probability distribution and application of iterated integrals in probability.


Why should I take this course?

  • To know some probability concepts,
  • To understand the useful concepts in stokes, economic fields, banking, and finance,
  • To work in any field of engineering (computer science, mechanics…),
  • To know the applications of probability in health science,
  • To follow a stochastic process.


Target audience

All people whose jobs are related to economics and finance; banking, engineering, computer science, stochastic process, biomathematics… The students and the curious people in the probability concepts.


Who should take this course?

If you want to improve your skills in most of the fields ( the vast range of people, from economists to biologists) you should be familiar with the concepts that are offered in this course.


Certificate

A certificate of participation is given upon completion of this course.  


PAYMENT BY BANK TRANSFER

Apart from credit card payments, you can make your payment by transferring to the UBAN number.


Account Number: 10-304-0000134885 – NEAR EAST UNIVERSITY LTD.

Near East Bank – UBAN: CT16139050100103040000134885 It is mandatory to write your Name – Surname and E-mail address during payment by money order.

After the payment, send your receipt to info.estudybox@neu.edu.tr with your Name – Surname, and E-mail address.    

Course Curriculum

1 The set Theory and related concepts


1 Counting, Permutation, Combination


1 The probability axioms, additive rule, Conditional probability


1 Multiplicative rule, Bayes’ rule and applications


1 Random variables and Probability distribution functions


1 Expected function, Cumulative distribution


1 Joint probability distribution


1 Binomial distribution and applications


1 Hypergeometric distribution and approximation, Geometric distribution


1 Poisson distribution, Normal distribution


Instructor

Asst. Prof. Dr. Mohammad Momenzadeh

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Mohammad Momenzadeh was born in 1982 in Tehran, the capital city of Iran. He completed his primary and high school education at the American College (Alborz). His education followed with an undergraduate degree at the Shiraz State University, Faculty of Art and Science, Department of Mathematics (2000-2004) in pure mathematics. He followed a Graduate degree at Urmiyeh State University (2006) in Harmonic Analysis and presented his thesis in the title of "Multiplication Invariant Subspace of Bergman Space '' and Ph.D. (2016) at Eastern Mediterranean University, Department of Mathematics In Jan 2016. M. Momenzadeh presented his thesis titled Comprehensive study of q-Bernoulli q-Euler and q-Genocchi polynomials and was awarded the title of Doctor of Mathematics (Ph.D.). Momenzadeh worked as a part-time lecturer at several universities in Iran including Air Force University (Shahid Sattari), many Branch of Azad University (south Tehran, east Tehran, Qazvin, Garmsar), Non-profit university of ALLAMEH QAZVINI, at Iran between the years 2006-2010, as a Research Assistant at Eastern Mediterranean University (2010-2016), and as a part-time lecturer at the same institute (2016). Momenzadeh published several papers in the title of his Ph.D. thesis and Music and Mathematics. He supervised 4 master theses in the following titles: · 1. “Comprehensive Study of q-Bernoulli Matrix and its Properties”, Kakangi. Y. (2017) 2. “On a Class of q-difference Equations, Existence, and Uniqueness”, Yusuf. L. (2017) 3. “Unification of q-exponential Function and Related q-polynomials.”, Mahmood, D. (2018) 4. “On a Study of q-fractional Differential Equation with Three Boundary Values”. Ibrahim M.(2019) 1. “Comprehensive Study of q-Bernoulli Matrix and its Properties”, Kakangi. Y. (2017) 2. “On a Class of q-difference Equations, Existence, and Uniqueness”, Yusuf. L. (2017) 3. “Unification of q-exponential Function and Related q-polynomials.”, Mahmood, D. (2018) 4. “On a Study of q-fractional Differential Equation with Three Boundary Values”. Ibrahim M.(2019). Furthermore, he published more than 10 international articles and attended more than 6 international conferences. Furthermore, he published more than 10 international articles and attended more than 6 international conferences.

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