CIE International A-Level Further Maths: Further Pure 1

Master the content from Paper 1 (Further Pure Mathematics 1) of Cambridge International A-Level Further Maths

What you'll learn

• Matrices
• Vectors
• Polar Coordinates
• Rational Functions
• Roots of Polynomials
• Proof by Induction
• Series

Requirements

A good understanding of Cambridge International A-Level Maths content, or equivalent.

Description

CIE International A-Level Further Maths: Further Pure 1 is a course for anyone studying the Cambridge International A-Level Further Maths:

This course covers all the content in Paper 1 (Further Pure Mathematics 1) of the Cambridge International A-Level Further Maths Course. It's also a great option for anyone looking to learn more advanced pure mathematics.

The main sections of the course are:

- Roots of Polynomials - we'll look at the relationship between a polynomial and its roots.

- Rational Functions - we will learn how to graph and solve equations related to functions that can be expressed as one polynomial divided by another.

- Series - we will learn how to find sums and partial sums of natural numbers, squares and cubes, as well as use the method of differences.

- Polar Coordinates - we'll learn how to sketch, differentiate and integrate polar curves, and how to relate them back to Cartesian equations.

- Matrices - we'll explore the fascinating world of matrices and matrix algebra, and learn how to find inverses and explore transformations in 2 and 3 dimensions.

- Vectors - we'll learn how to represent lines and planes in 3 dimensions using vectors, and explore how these interact. We'll also cover the vector product and see how it can be used in a range of problems.

- Proof by induction - we'll learn how to prove statements about series, divisibility, matrices and derivatives using induction.

Please note: This course is intended for people studying the Cambridge International A-Level Further Maths Syllabus, and not the UK syllabus (covered by Edexcel, OCR, AQA and MEI exam boards). If you are looking for these, check out my other courses on these!

What you get in this course:

Videos: Watch as I explain each topic, introducing all the key ideas, and then go through a range of different examples, covering all the important ideas in each. In these videos I also point out the most common misconceptions and errors so that you can avoid them.

Quizzes: Each sub-section is followed by a short quiz for you to test your understanding of the content just covered. Most of the questions in the quizzes are taken from real A-Level past papers. Feel free to ask for help if you get stuck on these!

Worksheets: At the end of each chapter I have made a collection of different questions taken from real A-Level past papers for you to put it all together and try for yourself. At the bottom of each worksheet is a full mark-scheme so you can see how you have done.

I really hope you enjoy this course!

Woody

Who this course is for:

• People studying Cambridge International A-Level Further Maths
• Anyone who wants to learn some advanced pure maths.