Discrete Maths

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Discrete Maths

Level: Intermediate
Modules: 123 Modules
Duration: 19 hours, 5 minutes
Students: 121

Overview

The Discrete Maths course provides learners with industry expert insights to enhance their professional skills. This self-paced course covers topics such as sets, logic, number theory, proof, functions, relations, graph theory, statistics, combinatorics, and sequence and series. Learners will gain problem-solving skills, connect with the Discrete Maths community, and receive a CPD accredited certificate upon completion.

Learning Outcomes:

Acquire a comprehensive understanding of Discrete Maths concepts and principles.
Develop problem-solving skills related to sets, logic, number theory, functions, and more.
Connect with the Discrete Maths professional community to gain first-hand experience.
Receive a CPD accredited certificate to boost your CV and enhance job prospects.
Stay updated with the latest information and developments in Discrete Maths.
Benefit from unlimited access to the course, gaining valuable knowledge at your own pace.

Why buy this Discrete Maths?

Unlimited access to the course for forever
Digital Certificate, Transcript, student ID all included in the price
Absolutely no hidden fees
Directly receive CPD accredited qualifications after course completion
Receive one to one assistance on every weekday from professionals
Immediately receive the PDF certificate after completing the course
Receive the original copies of your certificate and transcript on the next working day
Easily learn the skills and knowledge from the comfort of your home

Certification

After successfully completing the course you will be able to claim the pdf certificate for free. Original Hard Copy certificates need to be ordered at an additional cost of £9.60.

Who is this course for?

This Discrete Maths course is ideal for

Students
Recent graduates
Job Seekers
Anyone interested in this topic
People already working in the relevant fields and want to polish their knowledge and skill.

Prerequisites

This Discrete Maths does not require you to have any prior qualifications or experience. You can just enrol and start learning.This Discrete Maths was made by professionals and it is compatible with all PC’s, Mac’s, tablets and smartphones. You will be able to access the course from anywhere at any time as long as you have a good enough internet connection.

Career path

As this course comes with multiple courses included as bonus, you will be able to pursue multiple occupations. This Discrete Maths is a great way for you to gain multiple skills from the comfort of your home.

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	00:18:00
	Partition of Sets	00:16:00
Logic
	Introduction	00:00:00
	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 – Discrete Maths	00:00:00