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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


Online Course / COVID-19

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