An Introduction to Discrete Maths
Overview Students often struggle with abstract mathematical concepts that feel disconnected from real problem-solving and logical thinking. Without a clear …
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Overview
Students often struggle with abstract mathematical concepts that feel disconnected from real problem-solving and logical thinking. Without a clear foundation, topics like sets, logic, and graph theory can become confusing and difficult to apply in studies or technical fields. This An Introduction to Discrete Maths course is designed to simplify complex ideas and build strong analytical skills step by step. The An Introduction to Discrete Maths course explains key topics such as number theory, proofs, functions, and combinatorics in a structured way. Through practical examples and logical reasoning exercises, the An Introduction to Discrete Maths course helps learners strengthen problem-solving ability and mathematical thinking. Whether you are preparing for computer science, engineering, or advanced studies, this An Introduction to Discrete Maths course builds the essential foundation needed for success in logical and structured fields.
Key Benefits Included
► Accredited by CPD
► Instant Access
► 24/7 Learning Assistance
► Self-paced learning and laptop, tablet, smartphone-friendly
► Fully online, interactive course with audio voiceover
► Developed by qualified professionals in the field
Learning Outcomes
► Understand fundamental concepts of sets and logic clearly
► Apply number theory principles to solve structured problems
► Construct valid mathematical proofs using logical reasoning
► Analyse functions, relations, and their real-world applications
► Solve combinatorics and graph theory problems effectively
Who is This Course For?
► Students studying mathematics or computer science
► Beginners preparing for technical or engineering courses
► Learners improving logical reasoning and problem-solving skills
► University applicants needing discrete maths foundations
► Professionals revising core mathematical concepts
► Anyone interested in structured analytical thinking
Certification
CPD Certification
After successfully completing the assessment of this course, you can apply for the CPD accredited certificates.
PDF certificate: £9.99
Hardcopy certificate: £15.99
Career Opportunities
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Course Curriculum
The course covers a wide range of essential topics, including:
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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 | ||
Certificate of Achievement
Upon completion, you will receive a CPD-accredited certificate recognised globally. Choose from:
Pdf Certificate & Transcript £7.99
Hardcopy Certificate & Transcript £17.99
This certification validates your knowledge and skills, boosting your employability in healthcare.
It is used in computer science, programming, data analysis, and logical problem-solving.
Yes, it starts from basic concepts and gradually builds advanced understanding.
Basic arithmetic knowledge is enough to begin this course.
It improves logical thinking required for software development and data-related jobs.
It covers sets, logic, graph theory, combinatorics, and other core areas.
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- £24.99
- 1 year
- Intermediate
- Number of Units123
- Number of Quizzes0
- 18 hours, 56 minutes Gift this course
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