Discrete Mathematics

Master Discrete Math, the backbone of Mathematics and Computer Science
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  • Lectures 58
  • Length 4 hours
  • Skill Level All Levels
  • Languages English
  • Includes Lifetime access
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About This Course

Published 10/2015 English

Course Description

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:

  1. Symbols
  2. Sets
  3. Logic
  4. Arithmetic
  5. Proofs
  6. Functions
  7. Relations
  8. Probability
  9. and Combinatorics 

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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.

What are the requirements?

  • Know basic operations like addition and multiplication.

What am I going to get from this course?

  • Most comprehensive Discrete Mathematics course on Udemy.
  • Understand the backbones of Mathematics and Computer Science.
  • Understand Sets, Logic, Divisors, Proofs, Functions, and Relations.
  • Learn the language of Mathematics.
  • Learn necessary Mathematical symbols.
  • Construct and read Mathematical statements.
  • Prove Mathematical statements.
  • Prove statements by induction.
  • Learn how to use Venn diagrams.
  • Learn how to construct truth tables.
  • Know how to tell the falsehood and truthfulness of a compound statements.
  • Know how to create new sets using different operations.
  • Find equivalence relations and equivalence classes.
  • Learn how to find odd and even functions.
  • Know how to check if a set is injective, bijective, or surjective.
  • Understand Fundamental Theorem of Arithmetics.
  • Learn how to find GCD & LCM.
  • Learn basics of Modular Arithmetics.
  • Learn essential concepts in Probability.

What is the target audience?

  • This course is designed for Math and Computer Science majors or anyone interested in learning what makes the backbones of Mathematics and Computer Science.

What you get with this course?

Not for you? No problem.
30 day money back guarantee.

Forever yours.
Lifetime access.

Learn on the go.
Desktop, iOS and Android.

Get rewarded.
Certificate of completion.

Curriculum

Section 1: Introduction
Introduction and Promo Video
Preview
01:46
Section 2: Symbols
2 pages

Symbols used throughout the course.

Section 3: Sets
Basics
03:34
Special Types of Sets
02:19
Number Sets
06:31
Venn Diagrams
Preview
01:42
Operations
04:26
Binary Operations Properties
05:11
De Morgan's laws for Sets
1 page
Power Sets
02:00
Section 2 Quiz
7 questions
Section 4: Logic
Statements
02:09
Compound Statements
02:13
Truth Tables
12:45
Logical Equivalences
02:09
De Morgan's laws in Logic
04:07
More Logical Equvielances
2 pages
5 questions

Section 5: Arithmetics
Divisors
03:39
Divisibility Rules 1-5
03:20
More Divisibility Rules 1-12
2 pages
Primes, Odds & Evens
04:28
Fundamental Theorem of Arithmetic (FTA)
Preview
01:41
More Examples on FTA
1 page
GCD & LCM
05:09
Modular Arithmetics
04:29
Section 4 Quiz
7 questions
Section 6: Proofs
Intro
03:46
Direct Proofs
03:41
Induction Proofs
07:50
Contradiction Proofs
04:03
Contrapositive Proofs
03:40
Construction Proofs
02:46
Exhaustion Proofs
02:59
Section 5 Quiz
9 questions
Section 7: Functions
Functions
03:35
Domains
02:42
Range
02:55
Injection
05:20
Surjection
03:56
Bijection
01:57
Even and Odd Functions
06:06
Function Compositions
04:18
Section 6 Quiz
7 questions
Section 8: Relations
Equivalence Relation
Preview
05:55
Equivalence Class
01:43
Section 7 Quiz
6 questions
Section 9: Probability
Average
02:44
Median
02:54
Mode
01:58
Range
00:41
Outlier
01:53
Variance
03:50
Standard Deviation
02:18
Expected Value (EV)
05:06
Law of Large Numbers
01:38
Gambler's Fallacy
02:41
Chapter Quiz
8 questions
Section 10: Combinatorics
What is Combinatorics?
01:14
Factorials
05:05
The Basic Counting Principle
09:16
Permutations
12:39
Combinations
05:29
Pigeonhole Principle
06:39
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.  

Chapter Quiz
8 questions

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Instructor Biography

Miran Fattah, B.S. in Mathematics & Geophysics

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.

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