A-level Maths: Advanced Functions and Methods
Develop comprehensive understanding of advanced mathematical principles and exam strategies to build a strong foundation for university STEM education.
Develop comprehensive understanding of advanced mathematical principles and exam strategies to build a strong foundation for university STEM education.
Elevate your A-level mathematics skills with this comprehensive course from Imperial College London. Designed for Year 13 students aiming for top grades, this course deep dives into advanced topics such as functions, sequences and series, and numerical methods. You'll develop critical thinking, problem-solving abilities, and mathematical fluency essential for A-level success and future STEM studies. Through seven intensive modules, you'll explore function notation, composite and inverse functions, arithmetic and geometric sequences, binomial expansions, advanced trigonometry, and numerical methods for equation solving. This course not only prepares you for exams but also bridges the gap to undergraduate-level mathematics, providing a solid foundation for future academic pursuits.
4.6
(24 ratings)
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What you'll learn
Define and manipulate functions, including composite and inverse functions
Work with sequences and series, including arithmetic and geometric progressions
Apply binomial expansions for both positive integer and non-integer indices
Use radian measure and solve advanced trigonometric problems
Understand and apply trigonometric identities and formulae
Implement numerical methods such as the trapezium rule and Newton-Raphson method
Skills you'll gain
This course includes:
PreRecorded video
Graded assignments, exams
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Limited Access access
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There are 7 modules in this course
This course offers an in-depth exploration of advanced A-level mathematics topics, designed to prepare students for both exams and future STEM studies. It covers a wide range of crucial mathematical concepts, including functions and their properties, sequences and series, advanced trigonometry, and numerical methods. The course emphasizes not just theoretical understanding but also practical problem-solving skills, encouraging students to develop fluency, confidence, and deep reasoning abilities. Through seven comprehensive modules, students will learn to manipulate functions, work with complex sequences and series, master advanced trigonometric concepts, and apply numerical methods to solve equations. Throughout, students are encouraged to think critically, construct mathematical arguments, and understand how these concepts fit into the broader mathematical landscape. The course is particularly aligned with the Edexcel, AQA, OCR, and OCR(MEI) exam boards, making it an invaluable resource for A-level students across the UK.
Algebra and Functions
Module 1
Sequences and Series 1
Module 2
Sequences and Series 2
Module 3
Trigonometry 1
Module 4
Trigonometry 2
Module 5
Numerical Methods 1
Module 6
Numerical Methods 2
Module 7
Fee Structure
Instructors
8 Courses
Mathematics Education and Outreach Expert at Imperial College London
Philip Ramsden serves as Director of Cross-Curricular Mathematics Education and Principal Teaching Fellow at Imperial College London, where he has made significant contributions to mathematics education and outreach since 1993. His teaching spans multiple departments including Mathematics, Physics, and Aeronautics, while leading major initiatives in widening participation and mathematics education. He directs the mAths programme, an extensive outreach initiative targeting Year 12 and 13 students from underrepresented backgrounds pursuing A grades at A-level, and coordinates the monthly "Maths Circle" masterclasses in partnership with the Royal Institution
8 Courses
Mathematics Education and Problem-Solving Expert at MEI
Phil Chaffé serves as a national coordinator for the Advanced Mathematics Support Programme, a UK government-funded initiative promoting post-16 mathematics education, bringing extensive experience from his previous roles in schools and universities. His current work focuses on coordinating projects across England that prepare students for advanced study at top universities, with particular emphasis on developing problem-solving skills necessary for university admissions examinations. As a respected figure in mathematics education, he has gained recognition for his engaging presentations on diverse topics including evolutionary biology mathematics, music mathematics, and recursive universe concepts, making complex mathematical ideas accessible to students. His expertise spans both theoretical mathematics and its practical applications, demonstrated through his work in developing enrichment programs and delivering masterclasses that bridge the gap between secondary education and university-level mathematics. His contributions to mathematics education extend beyond traditional classroom teaching to include innovative approaches that inspire students to explore advanced mathematical concepts and their real-world applications.
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4.6 course rating
24 ratings
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