Advanced A-Level Math: From Motion to Differential Equations
Master complex A-Level Mathematics topics and prepare for STEM degrees with this comprehensive course.
Master complex A-Level Mathematics topics and prepare for STEM degrees with this comprehensive course.
Delve into advanced A-Level Mathematics with this in-depth course from Imperial College London. Covering crucial topics such as general motion, moments and equilibrium, the normal distribution, vectors, advanced differentiation and integration methods, and differential equations, this course is designed to elevate your mathematical skills to the highest level. Through seven comprehensive modules, you'll develop the fluency, confidence, and problem-solving abilities needed to excel in your A-level exams and prepare for undergraduate STEM degrees. The course emphasizes deep reasoning and the construction of mathematical arguments, encouraging you to apply your knowledge to complex, real-world scenarios. Ideal for students aiming for top grades and a solid foundation for university-level mathematics.
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What you'll learn
Apply calculus to solve complex kinematics problems in one and two dimensions
Analyze projectile motion using both vector and calculus methods
Solve equilibrium problems involving moments and coplanar forces
Use the Normal distribution for modeling and hypothesis testing
Perform vector operations and apply them to pure mathematics problems
Master advanced differentiation techniques including implicit and parametric methods
Skills you'll gain
This course includes:
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Graded assignments, exams
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Limited Access access
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There are 7 modules in this course
This advanced course in A-Level Mathematics covers a wide range of topics essential for students preparing for their Year 13 exams and future STEM degrees. The course is structured into seven comprehensive modules, each focusing on key areas of advanced mathematics. Students will explore general motion in one and two dimensions, including projectile motion and friction models. The course delves into moments and equilibrium of rigid bodies, providing a strong foundation in mechanics. Statistical concepts are covered through an in-depth study of the Normal distribution and its applications in hypothesis testing. Vector operations in two and three dimensions are thoroughly explored, along with their applications in pure mathematics. Advanced calculus topics include complex differentiation methods (product, quotient, and chain rules) and integration techniques (substitution, partial fractions, and integration by parts). The course culminates with an introduction to differential equations, teaching students how to solve and interpret these powerful mathematical tools. Throughout the course, emphasis is placed on developing critical thinking, problem-solving skills, and the ability to construct rigorous mathematical arguments.
Calculus in Kinematics and Projectile Motion
Module 1
Friction, Moments and Equilibrium of rigid bodies
Module 2
The Normal Distribution
Module 3
Vectors
Module 4
Differentiation Methods
Module 5
Integration Methods
Module 6
Differential Equations
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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