Master Discrete Mathematics: Sets, Math Logic, and More
4.6 (931 ratings)
Course Ratings are calculated from individual students’ ratings and a variety of other signals, like age of rating and reliability, to ensure that they reflect course quality fairly and accurately.
5,756 students enrolled

Master Discrete Mathematics: Sets, Math Logic, and More

Master Discrete Mathematics: Learn and master all of Discrete Math - Logic, Set Theory, Combinatorics, Graph Theory, Etc
4.6 (931 ratings)
Course Ratings are calculated from individual students’ ratings and a variety of other signals, like age of rating and reliability, to ensure that they reflect course quality fairly and accurately.
5,756 students enrolled
Created by Grant Hall
Last updated 6/2019
English
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Current price: $69.99 Original price: $99.99 Discount: 30% off
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This course includes
  • 6.5 hours on-demand video
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
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What you'll learn
  • Most Complete Course on Discrete Math offered on Udemy
  • Fully Understand Mathematical Logic
  • Grasp the Complex Topic of Counting for Advanced Mathematics
  • Know When to Use Combinations or Permutations
  • Solve Real World Problems Using Combinations and Permutations
  • Discover How to Solve Mathematical Proofs Using a Variety of Methods
  • Learn Mathematical Notation to be able to Understand Complex Proofs
Requirements
  • Fundamentals of Mathematics (Up to Algebra)
  • Willingness to Learn
Description

All new quiz solution videos plus an additional graph theory section to help students master all aspects of Discrete Math!

Welcome to Master Discrete Math! 

This is a course designed to help you master the difficult topics of Discrete Math and get you prepared for a career in computer science, actuarial science, mathematics, or even engineering! I have been tutoring for many years and my students have had great experiences with my teaching methods!

Here's what students who have taken this course have had to say: 

I got this course originally to review material for my final, and the instructor is very clear in his videos. I wish I had this at the beginning of the semester! - Jessica, Udemy Student

Easy to understand, Concepts are well explained and demonstrated. - Jeremy, Udemy Student

Great course on Discrete Math. The practice questions are a big help! - Bridgette, Udemy Student

This Master Discrete Math Course includes over 30 lectures that will introduce students to many topics including sets and their properties, advanced counting techniques (combinations/permutations), mathematical logic, and graph theory. The students' progress will be measured along the way through practice videos and quizzes that contain examples following almost every new topic. This course can be broken into a few key categories:

  1. Set Theory: Students will leave this course understanding what sets are, the nuances of sets, and how to find power sets.

  2. Mathematical Logic: After this course students students will understand mathematical logic and truth tables. They will learn the many logic laws that help computers run complex algorithms while also learning how to solve basic proofs using truth tables.

  3. Advanced Counting Techniques: Students will learn the advanced counting techniques used by poker players and statisticians that help them analyze complex problems. Students will be exposed to the sum and product principles along with the combination and permutation formulas. There will be an abundance of practice problems in this section due to its difficulty!

  4. Mathematical Proofs: Students will learn the foundations of writing mathematical proofs. We will discuss the many different methods of mathematical proofs and go through many examples. This section is often important as you go into other math classes that can be very proof heavy. 

  5. Graph Theory: We finish the course with a section on graph theory. Graph theory is a huge and important part of mathematics that we begin to scratch the surface on in this course. Students will begin to see the wide ranging applications of graph theory when they learn about Euler and Hamilton paths/circuits, complete/bipartite graphs, and more. 

Who this course is for:
  • Computer Science Majors
  • Math Majors
  • People interested in the math behind computers
  • People interested in mathematical logic
  • Anyone wanting to expand their mathematical knowledge
Course content
Expand all 45 lectures 06:38:50
+ Set Theory
12 lectures 01:30:27
The Empty Set
03:55
Introduction to Sets
4 questions
Introduction to Sets Quiz Walkthrough
03:27
Subsets
09:01
Power Sets
13:16
Practice with Subsets and Power Sets
08:23
Subsets and Power Sets
4 questions
Subsets and Power Sets Quiz Walkthrough
05:39
Set Operations
05:34
Practice with Set Operations
07:50
Cartesian Products and Ordered Pairs
08:53
Cartesian Products and Ordered Pairs Practice
07:29
+ Mathematical Logic and Truth Tables
9 lectures 01:23:48
Introduction to Truth Tables
11:07
Proofs With Truth Tables
11:47
Practice With Truth Tables
10:21
Truth Tables
2 questions
Truth Tables Quiz Walkthrough
06:48
Basic Laws of Logic
07:46
Advanced Laws of Logic
09:14
Practice with Logic Laws
10:17
Logic Laws
2 questions
Logic Laws Quiz Walkthrough
05:27
+ Combinations and Permutations
13 lectures 01:57:19
Introduction to Counting
07:30
Rule of Sum and Product Practice
09:53
Factorials Explanation
04:04
Intro to Counting
4 questions
Intro to Counting Quiz Walkthrough
04:49
Introduction to Permutations
11:37
Introduction to Combinations
12:19
Practice with Permutations and Combinations
09:35
Harder Practice with Combinations and Permutations
12:03
Permutations
4 questions
Permutations Quiz Walkthrough
05:36
Combinations
4 questions
Combinations Quiz Walkthrough
10:25
The Binomial Theorem
09:08
Pascal's Triangle
06:22
Binomial Theorem and Pascal's Triangle
4 questions
Binomial Theorem and Pascal's Triangle Quiz Walkthrough
13:58
+ Mathematical Proofs
7 lectures 01:04:01
Introduction to Proofs
06:57
Direct Proofs
10:02
Proof by Contraposition
13:27
Proof by Contradiction
07:56
Proof by Cases
11:51
Proof by Cases Extra Example
03:33
Mathematical Induction
10:15
+ Graph Theory
4 lectures 43:15
Introduction to Graph Theory
12:26
Families of Graphs
09:53
Degrees of Graphs
10:27
Introduction to Paths and Circuits
10:29