A-level Maths: Calculus and Applied Topics
Achieving excellence in A-levels and preparing for STEM fields requires mastering vital concepts like calculus, Newtonian physics, and statistical analysis.
Achieving excellence in A-levels and preparing for STEM fields requires mastering vital concepts like calculus, Newtonian physics, and statistical analysis.
Enhance your A-level mathematics skills with this comprehensive course from Imperial College London, designed for Year 12 students aiming for top grades. This course covers essential topics in calculus, Newton's laws, and statistical hypothesis testing, providing a strong foundation for A-level exams and future STEM degrees. Through seven intensive modules, you'll develop critical thinking, problem-solving abilities, and mathematical fluency. From differentiation and integration to modeling with exponential functions and applying the binomial distribution, this course bridges the gap between GCSE and A-level mathematics, preparing you for academic excellence and future success in STEM fields.
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What you'll learn
Differentiate exponential and other complex functions
Apply differentiation to find stationary points and equations of tangents and normals
Integrate exponential functions and use integration to find areas under curves
Model growth and decay using exponential functions
Manipulate expressions involving indices using logarithms
Apply Newton's laws to solve problems involving forces
Skills you'll gain
This course includes:
PreRecorded video
Graded assignments, exams
Access on Mobile, Tablet, Desktop
Limited Access access
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There is 1 module in this course
This course offers an in-depth exploration of key A-level mathematics topics, designed to prepare students for both exams and future STEM studies. It covers a range of crucial mathematical concepts including calculus, Newton's laws of motion, and statistical hypothesis testing. 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 differentiate and integrate various functions, apply calculus to real-world problems, understand the principles of Newton's laws, and conduct statistical hypothesis tests using the binomial distribution. Throughout, students are encouraged to think critically, construct mathematical arguments, and understand how these concepts fit into the broader mathematical landscape, preparing them for both A-level exams and future studies in mathematics, physics, engineering, and other STEM fields.
Advanced Mathematics Topics
Module 1
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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