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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.
Course Cost
₹ 5,859
Intermediate
Skill Level
7 Weeks
Self-paced lessons
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.
14,055 Enrolled
English
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
Develop problem-solving skills for unfamiliar mathematical scenarios
Construct rigorous mathematical arguments using various tools and notations
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 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
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Faculties
These are the expert instructors who will be teaching you throughout the course. With a wealth of knowledge and real-world experience, they're here to guide, inspire, and support you every step of the way. Get to know the people who will help you reach your learning goals and make the most of your journey.
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8
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Frequently asked Questions
Below are some of the most commonly asked questions about this course. We aim to provide clear and concise answers to help you better understand the course content, structure, and any other relevant information. If you have any additional questions or if your question is not listed here, please don't hesitate to reach out to our support team for further assistance.