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What is this course about?
Discrete Mathematics (DM), or Discrete Math is the backbone of Mathematics and Computer Science. DM is the study of topics that are discrete rather than continues, for that, the course is a MUST for any Math or SC student. The topics that are covered in this course are the most essential ones, those that will touch every Math and Science student at some point of their education. Discrete Mathematics gives students the ability to understand Math language and based on that, the course is divided into 8 sections. The sections are:
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How is it delivered?
I know visually seeing a problem getting solved is the easiest and the most direct way for a student to learn so I designed the course keeping this in mind. The materials are delivered mostly through videos to make complex subject easy to comprehend. More details on certain lessons are delivered through text files to provide more explanation or examples. The course is taught in plane English, away from cloudy, complicated mathematical jargons and that is to help the student learn the material rather than getting stuck with fancy words.
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How do I learn better?
There are quizzes after each section so you can test your knowledge and see how much of the material has sank in. I suggest you go through each lesson several times to better understand the content.
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Section 1: Introduction  

Lecture 1 
Introduction and Promo Video
Preview

01:46  
Section 2: Symbols  
Lecture 2  2 pages  
Symbols used throughout the course. 

Section 3: Sets  
Lecture 3 
Basics

03:34  
Lecture 4 
Special Types of Sets

02:19  
Lecture 5 
Number Sets

06:15  
Lecture 6 
Venn Diagrams
Preview

01:42  
Lecture 7 
Operations

04:26  
Lecture 8 
Binary Operations Properties

05:11  
Lecture 9 
De Morgan's laws for Sets

1 page  
Lecture 10 
Power Sets

02:00  
Quiz 1 
Section 2 Quiz

7 questions  
Section 4: Logic  
Lecture 11 
Statements

02:09  
Lecture 12 
Compound Statements

02:13  
Lecture 13 
Truth Tables

12:45  
Lecture 14 
Logical Equivalences

02:09  
Lecture 15 
De Morgan's laws in Logic

04:07  
Lecture 16 
More Logical Equvielances

2 pages  
Quiz 2  5 questions  
Section 5: Arithmetics  
Lecture 17 
Divisors

03:39  
Lecture 18 
Divisibility Rules 15

03:20  
Lecture 19 
More Divisibility Rules 112

2 pages  
Lecture 20 
Primes, Odds & Evens

04:28  
Lecture 21 
Fundamental Theorem of Arithmetic (FTA)
Preview

01:41  
Lecture 22 
More Examples on FTA

1 page  
Lecture 23 
GCD & LCM

05:09  
Lecture 24 
Modular Arithmetics

04:29  
Quiz 3 
Section 4 Quiz

7 questions  
Section 6: Proofs  
Lecture 25 
Intro

03:46  
Lecture 26 
Direct Proofs

03:41  
Lecture 27 
Induction Proofs

07:50  
Lecture 28 
Contradiction Proofs

04:03  
Lecture 29 
Contrapositive Proofs

03:40  
Lecture 30 
Construction Proofs

02:46  
Lecture 31 
Exhaustion Proofs

02:59  
Quiz 4 
Section 5 Quiz

9 questions  
Section 7: Functions  
Lecture 32 
Functions

03:35  
Lecture 33 
Domains

02:42  
Lecture 34 
Range

02:55  
Lecture 35 
Injection

05:20  
Lecture 36 
Surjection

03:56  
Lecture 37 
Bijection

01:57  
Lecture 38 
Even and Odd Functions

06:06  
Lecture 39 
Function Compositions

04:18  
Quiz 5 
Section 6 Quiz

7 questions  
Section 8: Relations  
Lecture 40 
Equivalence Relation
Preview

05:55  
Lecture 41 
Equivalence Class

01:43  
Quiz 6 
Section 7 Quiz

6 questions  
Section 9: Probability  
Lecture 42 
Average

02:44  
Lecture 43 
Median

02:54  
Lecture 44 
Mode

01:58  
Lecture 45 
Range

00:41  
Lecture 46 
Outlier

01:53  
Lecture 47 
Variance

03:50  
Lecture 48 
Standard Deviation

02:18  
Lecture 49 
Expected Value (EV)

05:06  
Lecture 50 
Law of Large Numbers

01:38  
Lecture 51 
Gambler's Fallacy

02:41  
Quiz 7 
Chapter Quiz

8 questions  
Section 10: Combinatorics  
Lecture 52 
What is Combinatorics?

01:14  
Lecture 53 
Factorials

05:05  
Lecture 54 
The Basic Counting Principle

09:16  
Lecture 55 
Permutations

12:39  
Lecture 56 
Combinations

05:29  
Lecture 57 
Pigeonhole Principle

06:39  
Lecture 58  11:09  
http://mathforum.org/dr.cgi/pascal.cgi? The above website is a Pascal's Triangle generator. All you have to do is to indicate how many rows you want and it will generate the corresponding Pascal's Triangle. 

Quiz 8 
Chapter Quiz

8 questions 
Fattah has B.S. in Mathematics and Geophysics from theUniversity of Oklahoma in Oklahoma, USA. He has taught and tutored many college students both in the United States and Iraq. His love for teaching made him one of four students in Iraq to receive a full scholarship to pursue a B.S. degree in the States so to return back to his home country and teach.
He is passionate about Math & Science and loves to share his passion with others. To him, Mathematics and Sciences are crucial for everyone to learn no matter how little. He is a BIG believer in visual learning, and his aim is to deliver the concepts in an easy and direct way so as to make the learning process fast for everyone.