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An Introduction to Discrete Maths Course

An Introduction to Discrete Maths Course

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Highlights

  • On-Demand course

  • 18 hours 56 minutes

  • All levels

Description

Overview

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Description

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  • After successfully completing the An Introduction to Discrete Maths Course, you will receive a FREE PDF Certificate as evidence of your newly acquired abilities.

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Requirements

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Course Curriculum

Sets

Introduction to Sets

00:01:00

Definition of Set

00:09:00

Number Sets

00:10:00

Set Equality

00:09:00

Set-Builder Notation

00:10:00

Types of Sets

00:12:00

Subsets

00:10:00

Power Set

00:05:00

Ordered Pairs

00:05:00

Cartesian Products

00:14:00

Cartesian Plane

00:04:00

Venn Diagrams

00:03:00

Set Operations (Union, Intersection)

00:15:00

Properties of Union and Intersection

00:10:00

Set Operations (Difference, Complement)

00:12:00

Properties of Difference and Complement

00:07:00

De Morgan's Law

00:08:00

Partition of Sets

00:16:00

Logic

Introduction

00:01:00

Statements

00:07:00

Compound Statements

00:13:00

Truth Tables

00:09:00

Examples

00:13:00

Logical Equivalences

00:07:00

Tautologies and Contradictions

00:06:00

De Morgan's Laws in Logic

00:12:00

Logical Equivalence Laws

00:03:00

Conditional Statements

00:13:00

Negation of Conditional Statements

00:10:00

Converse and Inverse

00:07:00

Biconditional Statements

00:09:00

Examples

00:12:00

Digital Logic Circuits

00:13:00

Black Boxes and Gates

00:15:00

Boolean Expressions

00:06:00

Truth Tables and Circuits

00:09:00

Equivalent Circuits

00:07:00

NAND and NOR Gates

00:07:00

Quantified Statements - ALL

00:08:00

Quantified Statements - THERE EXISTS

00:07:00

Negations of Quantified Statements

00:08:00

Number Theory

Introduction

00:01:00

Parity

00:13:00

Divisibility

00:11:00

Prime Numbers

00:08:00

Prime Factorisation

00:09:00

GCD & LCM

00:17:00

Proof

Intro

00:06:00

Terminologies

00:08:00

Direct Proofs

00:09:00

Proofs by Contrapositive

00:11:00

Proofs by Contradiction

00:17:00

Exhaustion Proofs

00:14:00

Existence & Uniqueness Proofs

00:16:00

Proofs by Induction

00:12:00

Examples

00:19:00

Functions

Intro

00:01:00

Functions

00:15:00

Evaluating a Function

00:13:00

Domains

00:16:00

Range

00:05:00

Graphs

00:16:00

Graphing Calculator

00:06:00

Extracting Info from a Graph

00:12:00

Domain & Range from a Graph

00:08:00

Function Composition

00:10:00

Function Combination

00:09:00

Even and Odd Functions

00:08:00

One to One (Injective) Functions

00:09:00

Onto (Surjective) Functions

00:07:00

Inverse Functions

00:10:00

Long Division

00:16:00

Relations

Intro

00:01:00

The Language of Relations

00:10:00

Relations on Sets

00:13:00

The Inverse of a Relation

00:06:00

Reflexivity, Symmetry and Transitivity

00:13:00

Examples

00:08:00

Properties of Equality & Less Than

00:08:00

Equivalence Relation

00:07:00

Equivalence Class

00:07:00

Graph Theory

Intro

00:01:00

Graphs

00:11:00

Subgraphs

00:09:00

Degree

00:10:00

Sum of Degrees of Vertices Theorem

00:23:00

Adjacency and Incidence

00:09:00

Adjacency Matrix

00:16:00

Incidence Matrix

00:08:00

Isomorphism

00:08:00

Walks, Trails, Paths, and Circuits

00:13:00

Examples

00:10:00

Eccentricity, Diameter, and Radius

00:07:00

Connectedness

00:20:00

Euler Trails and Circuits

00:18:00

Fleury's Algorithm

00:10:00

Hamiltonian Paths and Circuits

00:06:00

Ore's Theorem

00:14:00

The Shortest Path Problem

00:13:00

Statistics

Intro

00:01:00

Terminologies

00:03:00

Mean

00:04:00

Median

00:03:00

Mode

00:03:00

Range

00:08:00

Outlier

00:04:00

Variance

00:09:00

Standard Deviation

00:04:00

Combinatorics

Intro

00:03:00

Factorials

00:08:00

The Fundamental Counting Principle

00:13:00

Permutations

00:13:00

Combinations

00:12:00

Pigeonhole Principle

00:06:00

Pascal's Triangle

00:08:00

Sequence and Series

Intro

00:01:00

Sequence

00:07:00

Arithmetic Sequences

00:12:00

Geometric Sequences

00:09:00

Partial Sums of Arithmetic Sequences

00:12:00

Partial Sums of Geometric Sequences

00:07:00

Series

00:13:00

Assignment

Assignment - An Introduction to Discrete Maths

00:00:00

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NextGen Learning
London, United Kingdom

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