Discrete Mathematics: Logic Essentials

Name: Discrete Mathematics: Logic Essentials
Rating: 4.2 (15 reviews)

A Complete Introductory Course with Quiz

Created byAmin Ali

Last updated 5/2023

English

What you'll learn

Introduction to Discrete Mathematics and History
Logic and Propositional Statements
Building Propositional Logic
Symbols and Variables
Truth Tables and Basic Key Terms for Logic

Course content

3 sections • 12 lectures • 31m total length

Introduction to Discrete Mathematics2:24
History of Logic1:47
Logic, Statement and Proposition1:51
Learn the rules of logic, distinguish valid and invalid arguments, and apply propositions, declarative sentences, and propositional logic to computer circuits, programming, and software development.
Propositional Statements Examples Sets2:49
Practice Test 1
Practice Test 2

Building Propositions3:30
Explore how propositions use variables like p, q, r, s to form simple and compound statements with and, or, not, and denote true and false by capital D and F.
Symbolic Representations of Proposition1:43
Explore symbolic representations of propositions using connectives—negation, conjunction, disjunction, conditional, and biconditional—with examples like 'God is the capital of Egypt' and '18 is divisible by 9'.
Propositional Statements Examples Sets (Advanced)5:39
Understanding Truth Tables3:30

Key Terms1:51
Define a proposition as a statement that is true or false, not both, and learn to use logical operators such as negation, disjunction, implication, and biconditional to combine propositions.
Truth Table Design Term1:54
Learn truth table design in discrete mathematics, showing how outcomes scale as 2^n with n variables, with examples: two variables yield four outcomes and three yield eight.
Quiz with Solution 12:50
Quiz with Solution 21:25
Explore the main issues in given propositions and apply negation rules to identify opposite claims, using examples like there is no oxygen on Mars and the negation of arithmetic statements.

Requirements

Basic Mathematics Knowledge

Description

This course facilitates students to build up and increase the understanding of discrete mathematics with special emphasis on computer science practical applications. The key topics includes Propositional Logic, its history, developing and understanding logic statement, propositional variables and propositional connectives and variables. The courses covers some useful with examples and quizzes. the course also describes how to manipulate compound statements as well.

Who this course is for:

Undergraduate Mathematics
Undergraduate Computer Science
Undergraduate Data Science
Undergraduate Engineering
Learners who want to review Discrete Math
Anyone interested in learning Basics of Discrete Mathematics and Logic in a simple way

Discrete Mathematics: Logic Essentials

What you'll learn

Explore related topics

Course content

Introduction4 lectures • 9min

Building Proposition4 lectures • 14min

Key Terms & Quizzes4 lectures • 8min

Requirements

Description

Who this course is for: