Year 2 A Level topics by textbook chapter

Here you can see my videos about A-level mathematics organised by the Chapters in the A-level textbooks. The content should be very similar for all exam boards for single maths A-level.

Note: Work in Progress! Please check back soon for more content. This content is actively in development and expected to be much more complete by Summer 2020!

Chapter 1 Proof
  1. Proof root 2 is irrational

Chapter 3 Sequences and Series

1. Intro to sequence notation
1a. Formal notation for sequences and series *NEW 2021*
1b. Linear, quadratic and geometric sequences *NEW 2021*
2. Arithmetic progressions (APs)
3. General formulae for APs
4. Geometric progressions (GPs) including general formulae
5. Sigma notation for summing series
6. Sum of an AP
7. Sum of a finite GP
8. Sum to infinity of a GP
9*. Summing the harmonic series
10*. Calculating mortgage repayments using geometric progressions
11*. The link between differencing sequences and differentiating functions

ONLINE COURSE: Sequences and series, APs and GPS- Mathsaurus course with teaching videos and worksheets with full video solutions

Chapter 5 Differentiation

1. Chain rule
2. Harder chain rule
3. Product rule
4. Quotient rule
5*. Proving the product rule from the chain rule
6*. Proving the quotient rule from the chain and product rules

Chapter 8 Trigonometric Identities

Proof of the compound angle formulae

Chapter 9 Further Differentiation

1. Implicit differentiation
2. Implicit differentiation – finding and classifying stationary points

Chapter 13 Differential Equations
  1. Separable differential equations and exponential growth
Chapter 21 Projectiles

General equation of the path of a projectile