Overview
Could a stronger grasp of logic, sets and graph theory make computer science, programming or data analysis feel easier? This Discrete Mathematics Course Online is designed for students, computing beginners, aspiring software developers and analytical learners who want to build the maths skills behind technical subjects.
Discrete mathematics focuses on structures, patterns and rules. As a result, it supports key areas such as algorithms, digital logic, databases, networks, counting methods and problem-solving. It also helps learners think in a clearer and more ordered way.
This basic discrete mathematics course online introduces sets, logic, number theory, proofs, functions, relations, graph theory, statistics, combinatorics, sequences and series. Therefore, it is a strong choice for anyone seeking an online discrete maths course with certificate support.
Course Description
This Discrete Mathematics Course introduces the core maths ideas used in computing, data and problem-solving. First, the course covers set theory, including number sets, set equality, set-builder notation, subsets, power sets, ordered pairs, Cartesian products, Venn diagrams, set operations, De Morgan’s Law and partitions. These topics help learners see how objects can be grouped, compared and organised.
After that, the course moves into logic. Learners explore statements, truth tables, logical equivalences, conditional statements, quantified statements, Boolean expressions and digital logic circuits. In addition, the course covers number theory through parity, divisibility, prime numbers, prime factorisation, GCD and LCM. Learners also build confidence with proof methods, including direct proof, contrapositive proof, contradiction, exhaustion, existence, uniqueness and induction.
Finally, learners develop knowledge of functions, relations, graph theory, statistics, combinatorics, sequences and series. As a result, this course is suitable for learners comparing a discrete mathematics beginner course, introduction to discrete mathematics course, logic and set theory course, graph theory course online, combinatorics course online or discrete mathematics for computer science training. Overall, it helps learners build clear reasoning for programming, algorithms and further technical study.
Key Benefits of This Course
When choosing a discrete mathematics training course, learners need a clear route through abstract topics. This course helps make those ideas easier to follow and connect.
- Build a strong base in sets, logic, proofs, functions, relations and number theory.
- Strengthen the reasoning used in computer science, programming and algorithms.
- Improve confidence with graph theory, combinatorics, sequences and series.
- Practise clearer problem-solving through truth tables and proof methods.
- Prepare for further study in computing, maths, data analysis or software development.
- Study online while balancing work, school, university preparation or career change.
- Gain certificate support for your academic record, CPD profile or learning portfolio.
This course helps learners understand the structure behind mathematical thinking and use it with more confidence.
Learning Outcome
By the end of this course, you will be able to:
- Understand key discrete mathematics ideas, including sets, logic, functions and graphs.
- Analyse set operations, truth tables, logical equivalences and Boolean expressions.
- Develop confidence with direct proof, contradiction, contrapositive reasoning and induction.
- Apply number theory concepts such as divisibility, prime factorisation, GCD and LCM.
- Evaluate graph theory topics, including paths, circuits, adjacency and connectedness.
- Demonstrate knowledge of permutations, combinations and counting principles.
- Implement structured reasoning across statistics, sequences, series and problem-solving.
Who Is This Course For?
- Computer science beginners who need stronger maths foundations.
- Aspiring software developers who want better logic and problem-solving skills.
- Students preparing for computing, maths or technical study.
- Data-focused learners who want more confidence with counting and structure.
- Career changers entering tech who need a beginner-friendly maths pathway.
- Maths learners interested in logic, set theory, graph theory and combinatorics.
- Learners seeking certificate support for study, CPD or career development.
Certificate of Achievement
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Career Path
Discrete mathematics can support technical and analytical roles where logic, data structures, algorithms, graphs and formal reasoning are useful.
- Software Developer: £30,000–£75,000 per year.|Software Developers create, test and improve programs, systems and digital tools. Discrete mathematics supports Boolean logic, algorithms, graph structures, functions and structured problem-solving used in software development.
- Web Developer: £27,000–£60,000 per year.|Web Developers build and maintain websites, applications and digital systems. Discrete maths can support programming logic, database thinking, structured problem-solving and the reasoning used in front-end, back-end and full-stack development.
- Data Analyst / Statistician: £28,000–£65,000 per year.|Data Analysts and Statisticians collect data, review trends, build reports and support better decisions. Discrete mathematics can strengthen skills in functions, statistics, counting methods and structured analysis.
- Graduate Software Developer: £27,000–£39,000 per year.|Graduate Software Developers support coding, testing and early-stage software projects. This route can suit learners who are building the mathematical thinking needed for computing and software development.
- Artificial Intelligence Engineer: £35,000–£75,000 per year.|AI Engineers work with algorithms, data and machine learning systems. Discrete mathematics can support the logical, algorithmic and mathematical thinking needed for AI-related study and career pathways.
Frequently Asked Questions
Discrete mathematics is the study of countable structures such as sets, logic, integers, graphs, relations, functions, sequences and proofs. This Discrete Mathematics Course helps learners build the mathematical reasoning used in computer science, programming, algorithms and data structures.
A Discrete Mathematics Course Online covers sets, logic, truth tables, proof techniques, number theory, functions, relations, graph theory, statistics, combinatorics, sequences and series. These topics support stronger problem-solving and technical thinking.
Yes. This basic discrete mathematics course for beginners starts with core ideas such as sets and logic before moving into proofs, functions, relations, graph theory and combinatorics. Therefore, it is suitable for learners who are new to discrete maths.
No. Calculus is not usually required for beginner discrete mathematics. However, a basic understanding of algebra and a willingness to work with logic, definitions and proofs will help learners progress more confidently.
Discrete mathematics is important for computer science because it supports algorithms, Boolean logic, data structures, databases, cryptography, digital circuits and graph theory. This online discrete maths course UK helps learners understand the maths behind core computing topics.
Yes. Learners can receive certificate support after completing the course requirements. A discrete mathematics certificate online can support academic development, CPD records, learning portfolios and preparation for computer science, programming or data-related study.
Basic Discrete Mathematics Reviews
Excellent
98%
Would Recommend15
Certified Learners100%
Authentic Reviews
A well-organised and highly valuable course with clear, easy-to-understand guidance throughout. I’ve gained knowledge that’s directly relevant to my day-to-day responsibilities. It’s given me greater confidence in applying these skills professionally.
Engaging content delivered in a straightforward and structured format. The examples were realistic and helped reinforce key concepts effectively. I would certainly recommend it to colleagues looking to upskill
Comprehensive, insightful and professionally presented from start to finish. The course materials were clear and well supported. A worthwhile investment for anyone serious about career development
Curriculum
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Introduction to Sets
00:01:00
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Definition of Set
00:09:00
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Number Sets
00:10:00
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Set Equality
00:09:00
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Set-Builder Notation
00:10:00
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Types of Sets
00:12:00
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Subsets
00:10:00
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Power Set
00:05:00
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Ordered Pairs
00:05:00
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Cartesian Products
00:14:00
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Cartesian Plane
00:04:00
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Venn Diagrams
00:03:00
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Set Operations (Union, Intersection)
00:15:00
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Properties of Union and Intersection
00:10:00
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Set Operations (Difference, Complement)
00:12:00
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Properties of Difference and Complement
00:08:00
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De Morgan’s Law
00:08:00
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Partition of Sets
00:16:00
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Introduction
00:01:00
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Statements
00:07:00
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Compound Statements
00:13:00
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Truth Tables
00:09:00
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Examples
00:13:00
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Logical Equivalences
00:07:00
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Tautologies and Contradictions
00:06:00
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De Morgan’s Laws in Logic
00:12:00
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Logical Equivalence Laws
00:03:00
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Conditional Statements
00:13:00
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Negation of Conditional Statements
00:10:00
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Converse and Inverse
00:07:00
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Biconditional Statements
00:09:00
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Examples
00:12:00
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Digital Logic Circuits
00:13:00
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Black Boxes and Gates
00:15:00
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Boolean Expressions
00:06:00
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Truth Tables and Circuits
00:09:00
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Equivalent Circuits
00:07:00
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NAND and NOR Gates
00:07:00
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Quantified Statements – ALL
00:08:00
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Quantified Statements – THERE EXISTS
00:07:00
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Negations of Quantified Statements
00:08:00
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Introduction
00:01:00
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Parity
00:13:00
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Divisibility
00:11:00
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Prime Numbers
00:08:00
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Prime Factorisation
00:09:00
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GCD & LCM
00:17:00
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Intro
00:06:00
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Terminologies
00:08:00
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Direct Proofs
00:09:00
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Proofs by Contrapositive
00:11:00
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Proofs by Contradiction
00:17:00
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Exhaustion Proofs
00:14:00
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Existence & Uniqueness Proofs
00:16:00
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Proofs by Induction
00:12:00
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Examples
00:19:00
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Intro
00:01:00
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Functions
00:15:00
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Evaluating a Function
00:13:00
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Domains
00:16:00
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Range
00:05:00
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Graphs
00:16:00
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Graphing Calculator
00:06:00
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Extracting Info from a Graph
00:12:00
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Domain & Range from a Graph
00:08:00
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Function Composition
00:10:00
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Function Combination
00:09:00
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Even and Odd Functions
00:08:00
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One to One (Injective) Functions
00:09:00
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Onto (Surjective) Functions
00:07:00
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Inverse Functions
00:10:00
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Long Division
00:16:00
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Intro
00:01:00
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The Language of Relations
00:10:00
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Relations on Sets
00:13:00
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The Inverse of a Relation
00:06:00
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Reflexivity, Symmetry and Transitivity
00:13:00
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Examples
00:08:00
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Properties of Equality & Less Than
00:08:00
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Equivalence Relation
00:07:00
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Equivalence Class
00:07:00
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Intro
00:01:00
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Graphs
00:11:00
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Subgraphs
00:09:00
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Degree
00:10:00
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Sum of Degrees of Vertices Theorem
00:23:00
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Adjacency and Incidence
00:09:00
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Adjacency Matrix
00:16:00
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Incidence Matrix
00:08:00
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Isomorphism
00:08:00
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Walks, Trails, Paths, and Circuits
00:13:00
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Examples
00:10:00
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Eccentricity, Diameter, and Radius
00:07:00
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Connectedness
00:20:00
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Euler Trails and Circuits
00:18:00
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Fleury’s Algorithm
00:10:00
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Hamiltonian Paths and Circuits
00:06:00
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Ore’s Theorem
00:14:00
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The Shortest Path Problem
00:13:00
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Intro
00:01:00
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Terminologies
00:03:00
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Mean
00:04:00
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Median
00:03:00
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Mode
00:03:00
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Range
00:08:00
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Outlier
00:04:00
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Variance
00:09:00
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Standard Deviation
00:04:00
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Intro
00:03:00
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Factorials
00:08:00
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The Fundamental Counting Principle
00:13:00
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Permutations
00:13:00
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Combinations
00:12:00
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Pigeonhole Principle
00:06:00
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Pascal’s Triangle
00:08:00
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Intro
00:01:00
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Sequence
00:07:00
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Arithmetic Sequences
00:12:00
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Geometric Sequences
00:09:00
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Partial Sums of Arithmetic Sequences
00:12:00
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Partial Sums of Geometric Sequences
00:07:00
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Series
00:13:00
Offer Ends in
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Duration:18 hours, 57 minutes
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Access:1 Year
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Units:122

8 Reviews

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