Master Discrete Mathematics: Sets, Math Logic, and More
Teaching & Academics / Mathematics

Master Discrete Mathematics: Sets, Math Logic, and More

Master Discrete Mathematics: Learn and master all of Discrete Math - Logic, Set Theory

Master Discrete Mathematics: Sets, Math Logic, and More
This Course Includes:
  • 6h 57m
  • 54 Lectures
  • 102 Downloadable Assets
  • Full Lifetime Access
  • Access on Mobile and TV
  • Certificate on Completion

Overview

What will learners learn in this course?
  • Most Complete Course on Discrete Math offered on Platform
  • 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
What are the requirements or prerequisites for taking your course?
  • Fundamentals of Mathematics (Up to Algebra)
  • Willingness to Learn
Who is the course 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
Description

Course Content

  • 5 Sections
  • 54 Lectures
  • 6h 57m Total Length
Set Theory
1h 43m
15 Lectures

Set Theory

The Empty Set
0:03:55
Introduction to Sets
0:01:00
Introduction to Sets Quiz Walkthrough
0:03:27
Subsets
0:09:01
Power Sets
0:13:16
Practice with Subsets and Power Sets
0:08:23
Subsets and Power Sets
0:01:00
Subsets and Power Sets Quiz Walkthrough
0:05:39
Set Operations
0:05:34
Practice with Set Operations
0:07:50
Introduction to Functions
0:10:51
Cartesian Products and Ordered Pairs
0:08:53
Cartesian Products and Ordered Pairs Practice
0:07:29
Introduction to Truth Tables
0:11:07
Proofs With Truth Tables
0:11:47
Practice With Truth Tables
0:10:21
Truth Tables
0:01:00
Truth Tables Quiz Walkthrough
0:06:48
Basic Laws of Logic
0:07:46
Advanced Laws of Logic
0:09:14
Practice with Logic Laws
0:10:17
Logic Laws
0:01:00
Logic Laws Quiz Walkthrough
0:05:27
Introduction to Counting
0:07:30
Rule of Sum and Product Practice
0:09:53
Factorials Explanation
0:04:04
Intro to Counting
0:01:00
Intro to Counting Quiz Walkthrough
0:04:49
Introduction to Permutations
0:11:37
Introduction to Combinations
0:12:19
Practice with Permutations and Combinations
0:09:35
Harder Practice with Combinations and Permutations
0:12:03
Permutations
0:01:00
Permutations Quiz Walkthrough
0:05:36
Combinations
0:01:00
Combinations Quiz Walkthrough
0:10:25
The Binomial Theorem
0:09:08
Pascal's Triangle
0:06:22
Binomial Theorem and Pascal's Triangle
0:01:00
Binomial Theorem and Pascal's Triangle Quiz Walkthrough
0:13:58
Introduction to Proofs
0:06:57
Direct Proofs
0:10:02
Proof by Contraposition
0:13:27
Proof by Contradiction
0:07:56
Proof by Cases
0:11:51
Proof by Cases Extra Example
0:03:33
Mathematical Induction
0:10:15
Introduction to Graph Theory
0:12:26
Families of Graphs
0:09:53
Degrees of Graphs
0:10:27
Introduction to Paths and Circuits
0:10:29

About Teacher

Viviane Prohaska

Viviane Prohaska
Originally From: Equatorial Guinea
Originally From: Equatorial Guinea
Equatorial Guinea
Location: Equatorial Guinea

5.00 (1 Review)
Biography

This year, I am honored to be your language instructor. I have around 19 years of experience as a Punjabi instructor. I am extremely interested in receiving your support and collaborating with your family to have a good school year.

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