Advanced Mathematics Course builds analytical precision, problem-solving confidence, and logical reasoning. Explore algebra, calculus, statistics, and mathematical modelling to strengthen academic performance and support progression into science, engineering, finance, and technology careers.
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Level 2 
14 Students 
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The Advanced Mathematics Course is designed to strengthen your understanding of essential mathematical principles while developing the analytical skills required for academic and professional success. Covering Advanced Mathematics, Mathematical Analysis, Calculus Concepts, and Advanced Algebra, this course provides a structured learning experience that builds confidence in solving complex mathematical challenges with precision and logical reasoning.
Throughout the course, you will explore Mathematical Logic, Matrices, Trigonometric Functions, Lines & Planes, and the Pair of Straight Line concept through practical examples and guided lessons. You will enhance your Problem Solving abilities, master Linear Algebra, develop Mathematical Proofs, and gain the confidence to apply mathematical theories across a wide range of analytical and technical disciplines.
The final section introduces Linear Programming, Differential Equations, Mathematical Modelling, and key Applied Mathematics techniques, enabling you to solve real-world optimisation and decision-making problems. Whether you are preparing for higher education, improving quantitative skills, or advancing your career, this SEO-focused Advanced Mathematics Course provides comprehensive knowledge and practical expertise for long-term success.
Learners complete an assignment designed to evaluate their understanding of the course content. The assignment is reviewed by qualified tutors who provide personalised feedback, allowing learners to demonstrate their applied knowledge and skills.
After completing the Advanced Mathematics Course assessment, you will be eligible to receive a CPD-accredited certificate worth £9 from One Education to demonstrate your achievement.
The certificate is also available as a printed hard copy delivered by post for £15.
Quality Licence Scheme Endorsed Certificate
Learners also have the option to order a Quality Licence Scheme (QLS) Endorsed Certificate as additional proof of achievement. The QLS Endorsed Certificate can be delivered by post for £69, with an additional £10 postage charge for international students.
This course has been endorsed by the Quality Licence Scheme for its high-quality, non-regulated provision and training programmes. This course is not regulated by Ofqual and is not an accredited qualification. Your training provider will be able to advise you on any further recognition, for example progression routes into further and/or higher education. For further information please visit the Learner FAQs on the Quality Licence Scheme website.
Advanced Mathematics Course builds on core mathematical knowledge by exploring higher-level topics such as calculus, linear algebra, differential equations, mathematical modelling, and advanced problem-solving techniques. This course develops analytical thinking and prepares learners to tackle complex mathematical challenges with confidence.
Studying Advanced Mathematics Course strengthens logical reasoning, quantitative analysis, and mathematical proficiency for academic and professional success. The course supports progression into higher education and careers in engineering, data science, finance, research, technology, and other fields that rely on advanced mathematical skills.
The Advanced Mathematics Course course has a total study time of 6 days, 6 hours. This comprehensive programme is designed for flexible learning, allowing learners to progress at their own pace while mastering advanced mathematics concepts, including mathematical analysis, advanced algebra, calculus, linear algebra, differential equations, mathematical modelling, proof techniques, problem-solving strategies, and applied mathematics.
The Advanced Mathematics Course requirements are simple and suitable for learners with a basic understanding of mathematics. Participants should have an interest in advanced mathematical concepts, logical reasoning, and analytical problem-solving, along with a willingness to explore topics such as algebra, calculus, linear algebra, and differential equations. Access to an internet-enabled device and commitment to regular study are recommended for effective learning and successful course completion.
This course explores advanced mathematical concepts, covering advanced algebra, calculus, differential equations, linear algebra, mathematical analysis, mathematical modelling, proofs, functions, and problem-solving techniques used in higher-level mathematics.
A basic understanding of mathematics is recommended. The course is suitable for students, aspiring engineers, science learners, and anyone looking to strengthen their advanced mathematical knowledge and analytical skills.
The course is delivered online, allowing you to learn at your own pace and develop advanced mathematical skills conveniently.
Yes. Mathematical exercises, problem-solving activities, practical examples, assignments, and quizzes may be included to reinforce learning.
You will receive a certificate of completion after successfully finishing the course.
This course supports career development in mathematics, engineering, computer science, data science, finance, physics, research, education, and other fields requiring advanced analytical and quantitative skills.
| Unit 01: Introduction | |||
| Introduction | 00:01:00 | ||
| Unit 02: Mathematical Logic | |||
| Introduction to Mathematical Logic, What is Sentence, Statements and their Types | 00:02:00 | ||
| Introduction to Logical Connectivity, Tautology, Contradiction, Contingency, Pattern | 00:06:00 | ||
| Quantitative and Quantified Statement and types and example | 00:03:00 | ||
| Dual: Replacing of Connections and Symbols | 00:02:00 | ||
| Negations of Compound Statement, Converse, Inverse, & Contrapositive | 00:03:00 | ||
| Algebra of Statements and Law | 00:05:00 | ||
| Real Life application of Logic to Switching Electric Circuit | 00:05:00 | ||
| Unit 03: Matrices | |||
| Introduction to Matrices, Multiplication and Addition using Matrix | 00:06:00 | ||
| Inverse of Matrix Uniqueness of Inverse, Elementary Transformation | 00:09:00 | ||
| Method of REDUCTION AND INVERSION with real life example how we can implement | 00:17:00 | ||
| Unit 04: Trigonometric Functions | |||
| Introduction to Trigonometric Function | 00:03:00 | ||
| General Solutions and Theorem | 00:10:00 | ||
| Solution of Triangle: Polar Co-ordinates | 00:22:00 | ||
| Rules and Theorems of Sin Cosine and Tan | 00:22:00 | ||
| Unit 05: Pair of Straight Line | |||
| Introduction & Combined Equations | 00:07:00 | ||
| Degrees and Types | 00:13:00 | ||
| Some Theorem | 00:17:00 | ||
| Unit 06: Lines & Planes | |||
| Introduction – vector Cartesian theorem | 00:02:00 | ||
| Cartesian Equation & 2 Point Theorem | 00:03:00 | ||
| Theorems & Problem Solving | 00:05:00 | ||
| Distance of Point Line | 00:05:00 | ||
| Skew Lines | 00:01:00 | ||
| Distance of skew lines | 00:03:00 | ||
| Distance between parallel lines | 00:02:00 | ||
| Equation of Plane and Cartesian Form | 00:10:00 | ||
| Unit 07: Linear Programming | |||
| Linear Programming Introduction | 00:08:00 | ||
| Introduction to LPP (Linear Programming Problem) | 00:05:00 | ||
| LPP Problem Solving | 00:07:00 | ||
| Assignment | |||
| Assignment -Mathematics | 6 days, 3 hours | ||
| Order Your Certificate | |||
| Order Your Certificate QLS | 00:00:00 | ||
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