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### Courses

Mathematics For Engineers

Course handouts

 Chapter 1. Complements on Connectedness, Differential Forms of the First Degree, and Analytic Functions. PDF Chapter 2. Holomorphic Functions. PDF Chapter 3. Laurent Series and Residue Theory. PDF Chapter 4. Laplace Transform. PDF Chapter 5. Introduction to Lebesgue Integration Theory. PDF Chapter 6. Fourier Transform. PDF Chapter 7. Distributions and Generalized Functions. PDF

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Assignments & Exams

Introduction To Probability

## Homework Policy

• Students should submit the homework in PDF format before the due time, to my e-mail: omran(underscore)kouba(at)hiast(d0t)edu(d0t)sy
• Students may collaborate on a homework and submit just one document but it should be indicated in the document the percentage of contribution of each of the collaborators.
• Each homework paper must have at least 6 completely solved problems from the problem list,
• The harder the chosen problems are, the more marks the student gets.

## Chapter 1. Events and Probability

 Lecture Title Available Online Link Due 1-1 Events Algebra 15-4-2020 Video 1-2 Probability Measure 18-4-2020 Video 1-3 Conditional Probability  Stochastic Independence 20-4-2020 Video Homework 20-4-2020 PDF 27-4-2020

## Chapter 2. Random Variables

 Lecture Title Available Online Link Due 2-1 General Definitions 26-4-2020 Video 2-2 Types of Random Variables 28-4-2020 Video 2-3 First Encounter With the Law  of Large numbers. 30-4-2020 Video Homework 30-4-2020 PDF 07-5-2020

## Chapter 3. Discrete Random Variables

 Lecture Title Available Online Link Due 3-1 Probability Mass Function 10-5-2020 Video 3-2 Expectation 12-5-2020 Video 3-3 Examples of Discrete Random Variables. 14-5-2020 Video 3-4 Common Probability Mass Function 17-5-2020 Video 3-5 Conditional Expectation 19-5-2020 Video Homework 19-5-2020 PDF 26-5-2020

## Chapter 4. Continuous Random Variables

 Lecture Title Available Online Link Due 4-1 Probability Density Function 26-5-2020 Video 4-2 Expectation 28-5-2020 Video 4-3 Examples of continuous Random Variables. 31-5-2020 Video 4-4 Common Probability Density Function of Random Vectors 02-6-2020 Video 4-5 Conditional Expectation 04-6-2020 Video 4-6 Functions of Random Variables 07-6-2020 Video Homework 07-6-2020 PDF 14-6-2020

## Chapter 5. Generating Functions and Their Applications

 Lecture Title Available Online Link Due 5-1 Generating Functions -1 14-6-2020 Video 5-2 Generating Functions -2 16-6-2020 Video 5-3 Characteristic Functions 18-6-2020 Video 5-4 Characteristic Functions of well-known Distributions 21-6-2020 Video 5-5 Weak law of Large Numbers and Central Limit Theorem 23-6-2020 Video Homework 23-6-2020 PDF 30-6-2020

## Course handouts

 Chapter 1. Events and Probability. PDF Chapter 2. Random Variables, Generalities. PDF Chapter 3. Discrete Random Variables. PDF Chapter 4. Continuous Random Variables. PDF Chapter 5. Generating Functions and Their Applications. PDF