# A-Level Maths: Pure (Year 2)

## What you'll learn

- Differentiation: chain rule, product rule, quotient rule and more
- Integration: reverse chain rule, integration by parts, integration by substitution, differential equations and more
- Partial fractions
- Graphs and functions
- Binomial expansion
- Radians
- Advanced trigonometry, including sec, cosec and cot, and trigonometric identities
- Parametric equations
- Vectors
- Numerical methods, including iteration and Newton-Raphson

## Description

**A-Level Maths: Pure (Year 2) is a course for anyone studying A-Level Maths:**

This course covers all the second year pure content in A-Level. The course is suitable for all major exam boards, including Edexcel, OCR, AQA and MEI. It is also a great course for anyone wanting to learn some more advanced pure maths. This course is intended for purchase by adults.

The main sections of the course are:

- Parametric Equations - where we learn how to express algebraic fractions in partial fractions, a trick used to great effect later in the course.

- Functions in Graphs - where we explore modulus functions, graph transformations, and learn about different types of functions, range and domain.

- Binomial Expansion - here we extend the binomial expansion formula covered in my Pure (Year 1 / AS) course to include negative and fractional powers.

- Radians - we learn about a new way to measure angles, and the amazing things that this facilitates.

- Trigonometric Functions - here we learn about three new trig functions (sec, cosec and cot), and explore the numerous ways that these new functions can be used.

- Trigonometric Identities and Modelling - Here we learn about the compound angle formulae, and look at how these can be used. We also explore harmonic form and learn to use this to model real-world scenarios.

- Differentiation - in this chapter we take the differentiation already learned in the Pure (Year 1 / AS) course to a whole new level. We learn how to differentiate pretty much every type of function we can think of, learning about the chain rule, product and quotient rules, as well as connected rates of change.

- Integration - a giant chapter in which we learn many different techniques to integrate increasing advanced functions. We also explore differential equations.

- Parametric Equations - here we learn about a brand new way to represent a curve, and explore how to use calculus with parametric curves.

- Numerical Methods - here we explore various techniques for finding roots of equations, like x = cosx, that are impossible for find exact solutions to.

- Vectors - here we learn how to work with vectors in 3D, extending what was covered in the previous pure course.

**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.

**This course comes with:**

· A 30 day money-back guarantee.

· A printable Udemy certificate of completion.

· Support in the Q&A section - ask me if you get stuck!

*I really hope you enjoy this course!*

*Woody*

## Who this course is for:

- People taking or planning to take A-level Maths
- Anyone interested in learning some more advanced pure mathematics.

## Course content

- Preview01:24

## Instructor

After finishing my studies at Oxford University I worked for a year in India before moving to London, which is where I have been ever since.

I have taught mathematics in some of the best performing schools in the country for over 10 years, where I have taught all levels of school maths, including GCSE, A-Level, Further Maths and Oxbridge entrance paper preparation. I also have 1000's of hours of tutoring experience working one-to-one with students on A-level maths and further maths.

Alongside this I have worked with businesses to train their staff in mathematical skills, such as statistics, data analysis and mathematical software packages.

Away from my work I love music and long-distance cycling, and recently cycled from London to Istanbul.