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Course Overview
Looking to strengthen your mathematical understanding in the UK? Start your learning journey with the Pure Mathematics Fundamentals Course. This CPD-accredited, fully online mathematics course is designed for individuals looking to build or refresh their core mathematical knowledge, logical reasoning skills, and analytical thinking for academic, technical, or professional development purposes.
This best-selling and highly rated programme provides essential knowledge to work effectively in various academic, analytical, and problem-solving environments, including education, research, data-focused roles, and technical study pathways.
This online pure mathematics course in the UK is tailored for learners seeking flexible, accredited training that supports numerical confidence, structured thinking, and progression into further mathematics, science, engineering, or data-related learning.
Course Overview
Structured into clearly organised learning units, this Pure Mathematics Fundamentals course covers crucial topics, including:
- Core principles of pure mathematics and mathematical logic
- Algebraic expressions, equations, and functions
- Number systems, sequences, and mathematical patterns
- Introduction to mathematical proofs and reasoning methods
- Trigonometry fundamentals and analytical applications
- Foundational calculus concepts and mathematical analysis
- Problem-solving strategies and abstract thinking techniques
Each learning unit is designed to develop your understanding of essential mathematical concepts and how they are applied in academic and analytical contexts.
Whether you’re preparing for further study or strengthening your analytical skills, this course provides a comprehensive foundation to excel in various academic and technical environments across the UK.
This pure mathematics course provides the theoretical foundation needed to support logical reasoning, numerical analysis, and structured problem-solving. Additionally, it strengthens your understanding of mathematical logic and ethical academic practice, ensuring you develop into a confident and responsible learner.
By completing this Pure Mathematics Fundamentals course, you will gain CPD-recognised knowledge that supports Continuing Professional Development and long-term academic or career progression.
Enrol Now and Build Strong Mathematical Foundations
Learning Outcomes
By completing this Pure Mathematics Fundamentals Course, you will:
- Acquire essential knowledge of pure mathematics principles
- Understand algebraic structures, equations, and functions
- Develop logical reasoning and mathematical proof skills
- Apply analytical problem-solving techniques to abstract concepts
- Strengthen numerical confidence and mathematical accuracy
- Understand foundational trigonometry and calculus concepts
- Improve critical thinking applicable across multiple disciplines
- Prepare for further learning in mathematics, science, or technology
Why Enrol in This Course?
By enrolling in this CPD-accredited Pure Mathematics Fundamentals Course in the UK, you gain structured, flexible training designed to support skill development and knowledge enhancement in mathematics and analytical reasoning.
This online mathematics course offers:
- CPD accreditation to support Continuing Professional Development
- 24/7 online access with flexible, self-paced learning
- Clear, structured modules aligned with UK CPD standards
- Strong focus on logic, reasoning, and problem-solving skills
- A solid theoretical base for further academic or technical study
This course is ideal for learners seeking to expand their mathematical knowledge without the need for prior experience or formal qualifications.
Who is This Course for?
This course is suitable for:
- Students looking to strengthen foundational mathematics skills
- Learners preparing for advanced maths, science, or engineering study
- Professionals seeking to improve analytical and logical thinking
- Individuals returning to education or refreshing core maths knowledge
- Anyone interested in developing structured problem-solving abilities
Prerequisites for This Course
There are no formal entry requirements for this course. It is open to:
- Beginners with an interest in mathematics and analytical thinking
- Learners seeking CPD-accredited mathematics training
- Individuals pursuing personal, academic, or professional development
The course is fully compatible with PCs, Macs, laptops, tablets, and smartphones, allowing you to study anytime, anywhere.
CPD Accredited Certification
Upon completing the course and passing the final exam, you will receive a CPD QS Accredited Certificate from Apex Learning. This certification demonstrates your qualifications and skills. The Digital version of the certificate is available for a discounted price of £9.99 only, and you can order a hard copy of the certificate for a discounted price of £14.99 only.
📍Note: Discounted certificate pricing is available for a limited time only. Secure yours before the offer ends!
QLS Endorsed Certification
Upon successful completion of the course, learners can order an Endorsed Certificate as recognition of their achievement. QLS Endorsed Certificates are available for an additional fee based on the qualification level, plus a £10 postage charge for international delivery.
Career Path
Completing the Pure Mathematics Fundamentals Course supports progression towards knowledge-based pathways, including:
- Mathematics and Statistics Study Pathways
- Data Analysis and Analytical Foundations
- Science, Engineering, and Technology Studies
- Education and Academic Support Roles
- Professional Development and CPD Progression
Pure Mathematics Fundamentals Course | CPD Accredited Mathematics Course Online – UK
Looking to strengthen your mathematical understanding in the UK? Start your learning journey with the Pure Mathematics Fundamentals Course. This CPD-accredited, fully online mathematics course is designed for individuals looking to build or refresh their core mathematical knowledge, logical reasoning skills, and analytical thinking for academic, technical, or professional development purposes.
This best-selling and highly rated programme provides essential knowledge to work effectively in various academic, analytical, and problem-solving environments, including education, research, data-focused roles, and technical study pathways.
This online pure mathematics course in the UK is tailored for learners seeking flexible, accredited training that supports numerical confidence, structured thinking, and progression into further mathematics, science, engineering, or data-related learning.
Course Overview
Structured into clearly organised learning units, this Pure Mathematics Fundamentals course covers crucial topics, including:
- Core principles of pure mathematics and mathematical logic
- Algebraic expressions, equations, and functions
- Number systems, sequences, and mathematical patterns
- Introduction to mathematical proofs and reasoning methods
- Trigonometry fundamentals and analytical applications
- Foundational calculus concepts and mathematical analysis
- Problem-solving strategies and abstract thinking techniques
Each learning unit is designed to develop your understanding of essential mathematical concepts and how they are applied in academic and analytical contexts.
Whether you’re preparing for further study or strengthening your analytical skills, this course provides a comprehensive foundation to excel in various academic and technical environments across the UK.
This pure mathematics course provides the theoretical foundation needed to support logical reasoning, numerical analysis, and structured problem-solving. Additionally, it strengthens your understanding of mathematical logic and ethical academic practice, ensuring you develop into a confident and responsible learner.
By completing this Pure Mathematics Fundamentals course, you will gain CPD-recognised knowledge that supports Continuing Professional Development and long-term academic or career progression.
Enrol Now and Build Strong Mathematical Foundations
Learning Outcomes
By completing this Pure Mathematics Fundamentals Course, you will:
- Acquire essential knowledge of pure mathematics principles
- Understand algebraic structures, equations, and functions
- Develop logical reasoning and mathematical proof skills
- Apply analytical problem-solving techniques to abstract concepts
- Strengthen numerical confidence and mathematical accuracy
- Understand foundational trigonometry and calculus concepts
- Improve critical thinking applicable across multiple disciplines
- Prepare for further learning in mathematics, science, or technology
Why Enrol in This Course?
By enrolling in this CPD-accredited Pure Mathematics Fundamentals Course in the UK, you gain structured, flexible training designed to support skill development and knowledge enhancement in mathematics and analytical reasoning.
This online mathematics course offers:
- CPD accreditation to support Continuing Professional Development
- 24/7 online access with flexible, self-paced learning
- Clear, structured modules aligned with UK CPD standards
- Strong focus on logic, reasoning, and problem-solving skills
- A solid theoretical base for further academic or technical study
This course is ideal for learners seeking to expand their mathematical knowledge without the need for prior experience or formal qualifications.
Who is This Course for?
This course is suitable for:
- Students looking to strengthen foundational mathematics skills
- Learners preparing for advanced maths, science, or engineering study
- Professionals seeking to improve analytical and logical thinking
- Individuals returning to education or refreshing core maths knowledge
- Anyone interested in developing structured problem-solving abilities
Prerequisites
There are no formal entry requirements for this course. It is open to:
- Beginners with an interest in mathematics and analytical thinking
- Learners seeking CPD-accredited mathematics training
- Individuals pursuing personal, academic, or professional development
The course is fully compatible with PCs, Macs, laptops, tablets, and smartphones, allowing you to study anytime, anywhere.
Assessment Method
Assessment for the course is conducted through an automated multiple-choice exam. A score of 60% is required to pass and earn the CPD Accredited Certificate. Reflective assignments are provided to enhance your learning, with expert tutor feedback available.
Certification
Upon completing the course and passing the final exam, you will receive a CPD QS Accredited Certificate from Apex Learning. This certification demonstrates your qualifications and skills. The Digital version of the certificate is available for a discounted price of £9.99 only, and you can order a hard copy of the certificate for a discounted price of £14.99 only.
📍Note: Discounted certificate pricing is available for a limited time only. Secure yours before the offer ends!
⬇️ Remove this QLS section if the course is not QLS endorsed (from mobile as well)
Endorsed Certificate from the Quality Licence Scheme
Upon successful completion of the course, learners can order an Endorsed Certificate as recognition of their achievement. QLS Endorsed Certificates are available for an additional fee based on the qualification level, plus a £10 postage charge for international delivery.
Career Path
Completing the Pure Mathematics Fundamentals Course supports progression towards knowledge-based pathways, including:
- Mathematics and Statistics Study Pathways
- Data Analysis and Analytical Foundations
- Science, Engineering, and Technology Studies
- Education and Academic Support Roles
- Professional Development and CPD Progression
Frequestly Asked Questions
Is this Pure Mathematics Fundamentals course recognised in the UK?
This course is CPD-accredited and designed to support Continuing Professional Development through structured learning and skill enhancement.
Is this course suitable for beginners?
Yes. No prior experience or qualifications are required.
Is this course fully online?
Yes. The course is 100% online with flexible, self-paced access.
Does this course provide a professional qualification?
No. This is a CPD-accredited training course for knowledge and skill development purposes only.
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FAQ Schema Markup
Course Curriculum
- 16 sections
- 32 lectures
- 00:00:00 total length
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About Course 00:02:00 -
Quick Guide 00:01:00
About Course -
Topics of Essential Revision – 1 00:00:00
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Negative numbers and operations on Integers 00:14:00
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The rules of Indices in Algebra 00:11:00
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Working with indices Part 1 00:10:00
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Working with indices Part 2 00:08:00
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Fractional Indices 00:12:00
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What are Polynomials? 00:07:00
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Writing statements in Algebraic Form 00:06:00
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Simplification using BODMAS 00:08:00
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Distributive Property 00:07:00
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Addition of Algebraic expressions 00:13:00
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Subtraction of Algebraic expressions 00:12:00
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Multiplication of Algebraic Expressions Part 1 00:05:00
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Multiplication of Algebraic Expressions Part 2 00:05:00
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Multiplication of Algebraic Expressions Part 3 00:06:00
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Division of algebraic expressions Part 1 00:11:00
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Division of algebraic expressions Part 2 00:10:00
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Division of algebraic expressions Part 3 00:07:00
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Topics of Essential Revision – 2 00:00:00
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Factorization by method of common factor 00:13:00
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Factorization by regrouping the terms 00:10:00
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Factorization by difference of two squares 00:11:00
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Factorization using identity (a + b) ² and (a – b) ² 00:10:00
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Factorization using identity (a + b + c) ² 00:05:00
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Factorization by middle term split Part 1 00:12:00
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Factorization by middle term split Part 2 00:09:00
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Simultaneous Linear Equations 00:07:00
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Graphical Method 00:06:00
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Graphical method Continued 00:11:00
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Elimination by substitution Method 00:09:00
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Equating the coefficients Method 00:11:00
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Cross Multiplication 00:10:00
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Equations Reducible to Linear Equations-1 00:08:00
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Equations Reducible to Linear Equations-2 00:14:00
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Introduction to Quadratic Equations 00:05:00
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Solving Quadratic Equations by Factorization method 00:09:00
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Writing in completed square form 00:07:00
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Solving by completed square method 00:08:00
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Sketching of Quadratic Graphs 00:12:00
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Quadratic graphs using Transformations 00:06:00
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Quadratic inequalities 00:11:00
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Deriving Quadratic formula 00:05:00
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Solving problems using Quadratic Formula 00:06:00
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Nature of Roots Part – 1 00:05:00
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Nature of roots Part – 2 00:12:00
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Downloadable Resources 00:00:00
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Distance formula 00:18:00
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Mid point formula 00:05:00
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Gradient of a line 00:11:00
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Graphing using gradient and y intercept 00:03:00
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Some standard lines 00:05:00
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Slope intercept form y = m x +c 00:06:00
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Point slope form and two point form 00:11:00
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Intersection of line and parabola 00:10:00
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Past Papers Problems Part 1 00:09:00
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Past Papers Problems Part 2 00:11:00
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Past Papers Problems Part 3 00:09:00
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Past Papers Problems Part 4 00:12:00
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Past Papers Problems Part 5 00:12:00
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Downloadable Resources 00:00:00
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Sequence and series ( video) 00:08:00
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Arithmetic Sequence 00:10:00
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General term of an A.P. 00:07:00
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Finding given term is which term 00:05:00
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Writing sequence when two terms are known 00:08:00
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Condition for three terms to be in A.P. 00:05:00
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Sum to n terms of A.P. 00:06:00
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Practice Problems 1 (A.P.) 00:09:00
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Practice problems 2 (A.P.) 00:07:00
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Practice problems 3 (A.P.) 00:07:00
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Practice problems 4 (A.P.) 00:11:00
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Geometric Progressions 00:12:00
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Sum to n terms in G.P. 00:14:00
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Sum to infinite Terms in G.P. 00:13:00
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Practice Problems 1 (GP) 00:15:00
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Practice Problems 2 (GP) 00:12:00
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Practice Problems 3 (GP) 00:07:00
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Practice Problems based on AP and GP both 00:15:00
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Past papers problems 1 00:17:00
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Past papers problems 2 00:10:00
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Past papers problems 3 00:11:00
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Downloadable Resources 00:00:00
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Geometric Progressions – Resources 00:00:00
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What is Factorial? 00:07:00
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n-choose –r problems 00:07:00
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Properties of n – choose -r 00:05:00
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Binomial Theorem for positive index 00:20:00
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Expanding using Binomial Theorem 00:11:00
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Finding the indicated term in the Binomial expansion 00:11:00
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Finding the indicated term from end 00:09:00
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Finding the coefficient for given exponent (index) of the variable 00:09:00
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Finding the term independent of variable 00:05:00
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Expanding in increasing and decreasing powers of x 00:09:00
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Practice problems 1 00:12:00
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Practice Problems 2 00:09:00
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Practice problems 3 00:10:00
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Past papers problems 1 00:15:00
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Past Paper problems 2 00:13:00
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Past Paper problems 3 00:09:00
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Downloadable Resources 00:00:00
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What is Function? 00:08:00
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Vertical Line Test 00:04:00
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Value of a Function Graphically 00:08:00
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Domain Range of a function Algebraically 00:14:00
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Domain Range of a function Graphically 00:07:00
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Even & Odd Functions 00:07:00
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One to one Function 00:05:00
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Composite Functions 00:09:00
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How to draw Rational Functions- 1 00:05:00
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How to draw Rational Functions- 2 00:10:00
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Inverse of a function Algebraically 00:05:00
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Inverse of a function Graphically 00:09:00
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Practice Problems 1 00:16:00
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Practice Problems 2 00:11:00
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Downloadable Resources 00:00:00
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What is Derivative? 00:08:00
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Derivation of formula for Derivative 00:06:00
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Differentiation by definition or First Principle 00:07:00
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Power Rule 00:22:00
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Practice Problems on Power Rule 1 00:07:00
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Practice Problems on Power Rule 2 00:07:00
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Practice Problems on Power Rule 3 00:05:00
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Practice Problems on Power Rule 4 00:13:00
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Practice Problems on Power Rule 5 00:08:00
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Downloadable Resources 00:00:00
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Tangents and Normals- Basics 00:13:00
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Practice- Tangents and Normals Part 1 00:16:00
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Practice- Tangents and Normals Part 2 00:13:00
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Practice- Tangents and Normals Part 3 00:11:00
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Practice- Tangents and Normals Part 4 00:14:00
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Downloadable Resources 00:00:00
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Stationary Points – Basics 00:13:00
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Practice- Increasing Decreasing & Maxima Minima part 1 00:11:00
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Practice- Increasing Decreasing & Maxima Minima part 2 00:12:00
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Practice- Increasing Decreasing & Maxima Minima part 3 00:10:00
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Downloadable Resources 00:00:00
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Concavity-Basics 00:02:00
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Concavity & Second Derivative 00:08:00
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Second Derivative Test 00:09:00
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Practice Problems on second derivative 00:04:00
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Practice Problem of Maxima Minima using second derivative test Part 1 00:17:00
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Practice Problem of Maxima Minima using second derivative test Part 2 00:10:00
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Practice Problem of Maxima Minima using second derivative test Part 3 00:07:00
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Practice Problem of Maxima Minima using second derivative test Part 4 00:07:00
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Applications of Maxima and Minima Part 1 00:09:00
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Applications of Maxima and Minima Part 2 00:07:00
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Applications of Maxima and Minima Part 3 00:10:00
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Applications of Maxima and Minima Part 4 00:09:00
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Applications of Maxima and Minima Part 5 00:10:00
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Applications of Maxima and Minima Part 6 00:08:00
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Past Paper Problems on applications of maxima and minima Part 1 00:09:00
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Past Paper Problems on applications of maxima and minima Part 2 00:09:00
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Past Paper Problems on applications of maxima and minima Part 3 00:08:00
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Past Paper Problems on applications of maxima and minima Part 4 00:07:00
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Chain Rule 00:12:00
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Rate of change part 1 00:05:00
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Rate of change part 2 00:10:00
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Rate of change part 3 00:07:00
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Past Paper Problems using chain rule -1 00:06:00
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Past Paper Problems using chain rule -2 00:07:00
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Past Paper Problems using chain rule – 3 00:07:00
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Past Paper Problems using chain rule – 4 00:04:00
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Downloadable Resources 00:00:00
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What is Integration? 00:12:00
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Practice Questions 1 00:06:00
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Practice Questions 2 00:09:00
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Practice Questions 3 00:09:00
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Fundamental Theorem of Calculus 00:09:00
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What is Definite Integration? 00:10:00
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Finding Definite Integration 00:09:00
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Practice Questions on Definite Integration 1 00:10:00
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Practice Questions on Definite Integration 2 00:10:00
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Practice Questions on Definite Integration 3 00:15:00
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Area below x-axis 00:12:00
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Practice Problems on Area below x-axis 1 00:11:00
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Practice Problems on Area below x-axis 2 00:13:00
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Practice Problems on Area below x-axis 3 00:09:00
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Practice Problems on Area below x-axis 4 00:07:00
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Area between two curves (Basics) 00:15:00
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Practice Problems on Area between two curves 1 00:06:00
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Practice Problems on Area between two curves 2 00:13:00
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Practice Problems on Area between two curves 3 00:12:00
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Practice Problems on Area between two curves 4 00:10:00
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Practice Problems on Area between two curves 5 00:13:00
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The Reverse Chain Rule- Indefinite Integration 00:06:00
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The Reverse Chain Rule- Definite Integration 00:05:00
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Practice Problems on The Reverse Chain Rule 00:09:00
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Improper Integrals 00:06:00
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Volumes by Integration 00:08:00
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Practice Problems on Volumes by Integration-1 00:04:00
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Practice Problems on Volumes by Integration-2 00:04:00
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Claim Your Certificate 00:00:00
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Thank you for completing your course with us! We’d appreciate your feedback! 00:00:00
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This course includes:
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Duration:1 day, 3 hours
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Access:1 year access
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Level:
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CPD Points:10