An Introduction to Discrete Maths

An Introduction to Discrete Maths

Overview

Graphs may seem like meaningless lines, and sets will look like a bunch of random numbers if you don’t understand discrete maths. And if you don’t understand discrete maths, how will you answer the graphs or set questions in your exam? Worry not; an Introduction to Discrete Maths course is the perfect solution for you. 

From the Introduction to Discrete Maths course, you will receive engaging and informative lessons on sets, logic and number theory. Furthermore, you will be able to clearly understand the principles of graph theory and statistics. In addition, this comprehensive course will provide you with a detailed understanding of combinatorics and more. By the end of this course, you will be able to build your expertise in discrete maths.

After completing the Introduction to Discrete Maths course, you will be able to build your expertise in discrete maths. At One Education, there are no hidden fees, no sudden exam charges or unexpected payments. Everything will be cleared out before you even attempt to sign up. So you can join the course without any worries. Enrol now and start learning!

Learning Outcome

Certification

After completing this course's assessment, you will be eligible for:

OE Certificate@2x-100 (1) (1) (1)
Transcript

The CPD QS accredited certificate is available in PDF format, at the cost of £9, or a hard copy can be sent to you via post, at the cost of £15.

You can Order Your CPD QS Accredited Certificate from here.

Course design

The course is delivered through our online learning platform, accessible through any internet-connected device. There are no formal deadlines or teaching schedules, meaning you are free to study the course at your own pace.

You are taught through a combination of

Why study this course

To join this course, there are no entry requirements or previous qualifications required. A student will just have to be above 16 years with good proficiency in English language and IT. This course is an excellent opportunity to develop a good grasp of discrete maths and score high in exams. 

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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