A Level Further Maths

Here you can find links to playlists and videos on some topics from A Level Further Maths. I am hoping to make a lot more content for this section in 2020 so please also check back later!

Hyperbolic Functions
  1. Hyperbolics – sinh and cosh
  2. More hyperbolic functions – tanh, sech, cosech and coth
  3. Graphs of hyperbolic functions
  4. Solving equations involving hyperbolics
  5. Inverse hyperbolic functions and their logarithmic forms
  6. Double angle identities for hyperbolic functions
  7. Osborn’s rule

Further calculus with trigonometric and hyperbolic functions
  1. Differentiating inverse hyperbolic functions
  2. Differentiating inverse trigonometric functions
  3. Integrating the reciprocal of a quadratic (arctan/invesre tan integrals)
  4. Integration – hyperbolic and trigonometric substitutions
Reduction formulae
  1. Introduction to reduction formulae
  2. Reduction formulae for sin^n(x)
  3. Reduction formulae for integration – a harder example

Summing series using the method of differences
  1. Summing series using the method of differences
Integrating Factors
  1. Using integrating factors to solve differential equations
Integrating the quotient of any two polynomials
  1. Integrating the quotient of any two polynomials