Discrete Mathematics
What you'll learn
- Learn the language of Mathematics and Mathematical symbols helping you through your Mathematical Journey.
- Construct, read and prove Mathematical statements using a variety of methods.
- Learn the fundamental topics in Logic, how to construct truth tables and tell the falsehood and truthfulness of a compound statements.
- Understand Boolean Expressions, black boxes, logical gates, digital circuits and many related topics
- Master fundamentals of Set Theory, equivalence relations and equivalence classes.
- Understand Fundamental Theorem of Arithmetics, Modular Arithmetic, and how to find GCD & LCM
- Learn how to find incidence and adjacency matrices, and identify walks trails, paths and circuits.
- Learn essential concepts in Statistics and Combinatorics.
Requirements
- Know basic operations like addition and multiplication.
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:
Sets
Logic
Number Theory
Proofs
Functions
Relations
Graph Theory
Statistics
and Combinatorics
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 plain English, away from cloudy, complicated mathematical jargons and that is to help the student learn the material rather than getting stuck with fancy words.
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.
Who this course is for:
- This course is designed for Math and Computer Science majors or anyone interested in learning what makes the backbones of Mathematics and Computer Science.
Course content
- Preview00:19
- Preview08:41
- 3 questionsQuiz
- 10:07Number Sets
- 3 questionsQuiz
- 09:16Set Equality
- 3 questionsQuiz
- 09:56Set-Builder Notation
- 3 questionsQuiz
- 11:49Types of Sets
- 3 questionsQuiz
- 10:27Subsets
- 3 questionsQuiz
- 05:06Power Set
- 3 questionsQuiz
- 04:59Ordered Pairs
- 3 questionsQuiz
- 14:08Cartesian Products
- 3 questionsQuiz
- 03:38Cartesian Plane
- 3 questionsQuiz
- Preview03:14
- 3 questionsQuiz
- 14:35Set Operations (Union, Intersection)
- 3 questionsQuiz
- 10:16Properties of Union and Intersection
- 3 questionsQuiz
- 11:57Set Operations (Difference, Complement)
- 3 questionsQuiz
- 07:29Properties of Difference and Complement
- 3 questionsQuiz
- 08:17De Morgan’s Law
- 3 questionsQuiz
- 15:49Partition of Sets
- 3 questionsQuiz
- 00:39Extra Practice Problems
Instructor
![Miran Fattah](data:image/svg+xml,%3Csvg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 64 64"%3E%3C/svg%3E){kind=avatar}
- 4.4 Instructor Rating
- 2,325 Reviews
- 16,784 Students
- 10 Courses
Fattah has B.S. in Mathematics and Geophysics from the University of Oklahoma in Oklahoma, USA. He has taught and tutored tens of thousands of college students all over the world. 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 anyone.