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Teaching & Academics Math Discrete Math

Discrete Mathematics: Beginner's Complete, Math Crash Course

Discrete Mathematics for Beginners: Number, Graph & Set theory, Proofs, Combinatorics & more! Math for Computer Science.
Rating: 2.8 out of 52.8 (136 ratings)
6,212 students
Created by Nikoloz Sanakoevi, Mikheil Chkheidze
Last updated 11/2019
English
English [Auto]
30-Day Money-Back Guarantee

What you'll learn

  • Most comprehensive course on the market in Discrete Math
  • Fully understand the fundamentals of mathematical logic
  • Solve problems with propositions and quantifiers with mathematical logic
  • Build truth tables and understand basics of digital logic design
  • Learn to apply indirect, direct and other methods of proofs
  • Learn to check for divisibility as well as learn the method of Euclidean algorithm
  • Fully understand how equivalence, partial order and binary relations work
  • Learn about bijective and injective functions
  • Master the fundamentals of counting
  • Grasp the consepts of combinations and permutations and be able to use them to solve problems
  • Learn about Boolean Algebra and De Morgan's Law
  • Learn about simple, complete and bipartite Graphs
  • Master other concepts and applications in graph theory such as trees, paths and circuits
  • Be fully prepared for the MATH 245 course in college

Requirements

  • basic math operations
  • willingness to learn

Description

  • Are you a Math, Computer Science or Computer Engineering student or maybe a professional who needs to succeed in Discrete Mathematics? 
  • Do you need to develop your mathematical skills and learn with practice?
  • Are you already studying Discrete Math Subject but need a better resource and online teacher to study and get better grades? 
  • Do you need to increase your GPA but have little time to study?

This is a great place to learn Discrete Mathematics! Master Discrete Mathematics Today and Enroll Now!

In this course you will learn discrete mathematics and study mathematical logic, mathematical proofs, set theory, functions, relations, graph theory, number theory as well as combinations and permutations.

Each chapter of the course can be taken independently if required, and each chapter covers all of the listed topics in details so you will study everything that is necessary and in the order that most suits you as a student. As students usually come to this course for specific topic(s) and exercises, here is the comprehensive list of what you will learn from each chapter of this course:

  1. Logic: Propositions, Connectives, Truth Tables, Logic Gates, Conditional and Biconditional Propositions, Rules of Inference, Predicates and Quantifiers
  2. Proofs: Direct and Indirect Proofs, Proof by Induction and other Methods of Proof
  3. Sets: Sets and Number Sets, Complement Sets, Cartesian Product, Operations, Boolean Algebra and De Morgan's Law
  4. Functions and relations: Ordered Pair, Dom, Range, Inverse Relations
  5. Graphs: Simple and Complete Graph, Bipartite Graph, Paths and Circuits, Euler Circuit and Euler Path, Hamiltonian Circuit and Hamiltonian Path, Trees
  6. Numbers: Divisibility and Division Algorithm, Euclidean Algorithm
  7. Combinatorics: Combinations, Permutations, Fundamental Principle of Counting


Every lecture on these topics in discrete math is in high quality - 1080p and the powerpoint presentations are downloadable. (you can use them when you will need and they can save you time by revisiting the learned material as well). All the concepts and definitions are explained in the videos and each topic is ending with a set of examples as well as a small theory quiz (optional). We will go through each step to solve the given examples in each lesson as well as practice them at the end of each of the 7 chapters. In case of difficulties, you can post a question and get help from the instructors! You will have everything to learn discrete mathematics!

This course will be useful to anyone studying discrete math and any related subject to discrete mathematics, such as linear algebra, calculus, economics, statistics, cryptography, finance, actuarial science, data structures, data science or algorithms. And if you are a computer science student and you were searching for mathematics for computer science than you will definitely need to go through this training! This is also a great start for computer and math related majors, because they usually require a solid knowledge in discrete math.

The instructors have both completed discrete mathematics in there computer engineering sophomore year and got the A+ (4.0) grade in discrete math which has lead to the idea of creating this training. We have seen how our university students in fields such as computer science, computer engineering and electrical engineering were struggling to study the material and worried about passing their exams. And if you are tired of learning everything on your own with university or from professors while going to the lectures everyday, you can now get these lessons  for as little as two cups of coffee and this small investment will rapidly effect your life, career and especially your GPA! So make the right decision today and enroll now! Learn discrete Mathematics Today!

In addition, to this, you get 100% satisfaction or Money-Back Guarantee for 30 days so you have nothing to lose. The lessons can be watched on any device and at the end you are even getting a certificate for completion that you can put on your resume, linkedin, show your co-workers and/or classmates and professors.

After enrolling you will feel 100% confident and will master your skills in Discrete Math. You will have all necessary materials to revisit and videos with lifetime access that you can watch even on your phone, laptop or TV screen. You will solve the problems in discrete math step-by-step and even know all the theory and concepts that are necessary for your success in this subject. Feel free to look at the free materials that are provided to you on this page. All the powerpoint presentations are downloadable so that you will be able to simply skim through them in 20 minutes if you will need to repeat some material or prepare for your class.

Do you need to Master Discrete Mathematics? 

Don't wait no more! 100% satisfaction or Money-Back Guarantee for 30 days!

ENROLL NOW!

Who this course is for:

  • Math Majors
  • Computer Science Majors
  • People Interested in Mathematics
  • Students of Science Majors
  • People Interested in Studying Discrete Math
  • Students of Engineering Majors
  • Computer Engineering Majors
  • People pursuing Bachelor's degree
  • People pursuing Master's degree
  • Professions related to Computers
  • Professions related to Mathematics
  • Professions related to Engineering
  • People interested in backbone of Mathematics
  • People interested in backbone of Computer Science

Course content

7 sections • 72 lectures • 4h 2m total length

  • Preview03:14
  • Preview00:07
  • Intro to the Section
    00:19
  • Preview02:17
  • Propositions
    2 questions
  • Preview05:25
  • Connectives
    2 questions
  • Truth Table
    04:35
  • DeMorgan's Law
    1 question
  • Quick Feedback
    00:08
  • Introduction to Logic Gates
    04:55
  • Logic Gates
    2 questions
  • Conditional and Biconditional Proposition
    04:36
  • Conditional and Biconditional Proposition
    2 questions
  • Preview08:44
  • Rules of Inference
    1 question
  • Preview03:00
  • Predicates
    2 questions
  • Quantifiers
    07:22
  • Quantifiers
    2 questions
  • Chapter 1 Exercises
    11:36
  • Chapter 1 Theory Quiz
    8 questions
  • Section 1 notes
    00:36
  • Yay!
    00:20

  • Intro to the Section
    00:09
  • Preview05:49
  • Direct Proof
    2 questions
  • Preview04:06
  • Indirect Proof
    1 question
  • Preview04:13
  • Induction
    2 questions
  • More Methods of Proof
    04:46
  • Other Methods of Proof
    2 questions
  • Chapter 2 Exercises
    03:51
  • Chapter 2 Theory Quiz
    12 questions
  • Section 2 notes
    00:48
  • Great!
    00:13

  • Intro to the Section
    00:06
  • Introduction
    06:49
  • Introduction
    2 questions
  • Number Sets
    04:50
  • Number Sets
    2 questions
  • Complement Sets
    05:09
  • Complement Sets
    2 questions
  • Cartesian Product
    04:55
  • Cartesian Product
    2 questions
  • Operations
    05:44
  • Operations
    2 questions
  • De Morgan's Laws
    07:12
  • Intro to Boolean Algebra
    09:54
  • Intro to Boolean Algebra
    2 questions
  • Exercises on Set Theory
    05:28
  • Chapter 3 Theory Quiz
    7 questions
  • Section 3 notes
    00:06
  • Move on to the step 4!
    00:08

  • Intro to the Section
    00:07
  • Ordered Pair
    02:33
  • Ordered Pair
    2 questions
  • Domain and Range
    04:20
  • Domain and Range
    1 question
  • Relation and Function
    03:29
  • Relation and Function
    1 question
  • Inverse Relation
    03:05
  • Inverse Relation
    1 question
  • Composition and Equivalence
    07:47
  • Composition and Equivalence
    2 questions
  • Injective and Surjective Functions
    06:23
  • Injective and Surjective
    2 questions
  • Exercises
    06:35
  • Chapter 4 Theory Quiz
    6 questions
  • Section 4 notes
    00:06
  • You did significant progress!
    00:09

  • Intro to the Section
    00:05
  • Intro to Graphs
    05:40
  • Graphs
    2 questions
  • Simple and Complete Graphs
    02:36
  • Simple and complete graphs
    1 question
  • Bipartite Graph
    03:10
  • Bipartite Graph
    2 questions
  • Paths
    02:30
  • Paths
    1 question
  • Circuits
    02:48
  • Cicuits
    2 questions
  • Euler Circuit and Euler Path
    03:54
  • Euler circuit and euler path
    2 questions
  • Hamiltonian Path and Hamiltonian Circuit
    01:31
  • Hamiltonian Path and Hamiltonian Circuit
    1 question
  • Trees
    03:24
  • Trees
    2 questions
  • Types of Trees
    05:18
  • Type of Trees
    2 questions
  • Exercises on Graphs
    04:07
  • Chapter 5 Theory Quiz
    9 questions
  • Section 5 notes
    00:06
  • You're almost there!
    00:06

  • Intro to the Section
    00:08
  • Divisibility and Division Algorithm
    05:01
  • Divisibility and Division Algorithm
    2 questions
  • Exercises on Divisibility
    03:40
  • Euclidean Algorithm
    04:52
  • Euclidean Algorithm
    1 question
  • Exercises on Euclidean Algorithm
    04:09
  • Chapter 6 Theory Quiz
    4 questions
  • Section 6 notes
    00:06
  • You're really close!
    00:10

  • Intro to the Section
    00:06
  • Fundamental Principle of Counting
    05:25
  • Fundamental Principle of Counting
    1 question
  • Exercises on Rule of Product
    04:05
  • Permutations
    04:47
  • Permutations
    1 question
  • Combinations
    04:11
  • Combinations
    1 question
  • Exercises on Permutations and Combinations
    03:54
  • Chapter 7 Theory Quiz
    3 questions
  • Section 7 notes
    00:06
  • Congrats
    00:04

Instructors

Nikoloz Sanakoevi
Web Development and Programming Instructor
Nikoloz Sanakoevi
  • 3.5 Instructor Rating
  • 1,227 Reviews
  • 65,113 Students
  • 11 Courses

Hi, my name is Nick and I will be teaching you through Udemy!

I have many years of experience in programming and technical subjects. That's exactly, what I want to teach you.

I am grateful for this opportunity to teach thousand of students just like you through my courses!

My main focus is programming languages, but I teach other topics such as math and electronics as well.

Look through my courses, maybe, you'll find something for you.

Mikheil Chkheidze
Computer Engineer
Mikheil Chkheidze
  • 2.8 Instructor Rating
  • 136 Reviews
  • 6,212 Students
  • 1 Course

I am Mikheil Chkheidze from Georgia. I have graduated from U.S. high school when I was an exchange student in 2010-2011. With top scores and experience, I received full grant and majored in Computer Engineering at San Diego State University. I have graduated in 2019. My passion is software development and online learning systems.

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