Advanced A-Level Further Maths: From Diff Equations to Stats
Master complex A-Level Further Mathematics topics and prepare for STEM degrees with this comprehensive course.
Master complex A-Level Further Mathematics topics and prepare for STEM degrees with this comprehensive course.
Delve into advanced A-Level Further Mathematics with this in-depth course from Imperial College London. Covering crucial topics such as applications of differential equations, momentum, work, energy and power, the Poisson distribution, the Central Limit Theorem, Chi-squared tests, and statistical errors, this course is designed to elevate your mathematical skills to the highest level. Through eight 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 and physics.
Instructors:
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What you'll learn
Apply differential equations to model physical phenomena like simple harmonic motion
Analyze momentum and energy in complex physical systems
Utilize the work-energy principle to solve advanced mechanics problems
Apply the Poisson distribution to model and analyze discrete events
Understand and apply the Central Limit Theorem in statistical analysis
Conduct and interpret Chi-squared tests for various statistical applications
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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Module Description
This advanced course in A-Level Further 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 eight comprehensive modules, each focusing on key areas of advanced mathematics and its applications. Students will explore differential equations and their applications in physics, including simple harmonic motion and damped oscillations. The course delves into mechanics concepts such as momentum, work, energy, and power, providing a strong foundation in applied mathematics. Statistical concepts are covered in depth, including the Poisson distribution, the Central Limit Theorem, and Chi-squared tests. The course culminates with an introduction to Type I and Type II errors in statistical analysis. Throughout the course, emphasis is placed on developing critical thinking, problem-solving skills, and the ability to construct rigorous mathematical arguments. This course is designed to bridge the gap between high school mathematics and university-level STEM subjects, preparing students for the rigors of higher education.
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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