Further Maths

Head of Department:

SHE

KS5 COORD:

MHI

 

 

KS5

KS5 Summary

Maths/Further Maths

Exam board: EDEXCEL

Number of exams: 3

 

Summary:

Autumn

Spring

Summer

  • Complex numbers (part 1)
  • Matrices (part 1)
  • Poisson and binomial distributions (part 1)
  • Momentum and impulse
  • Matrices (part 2)
  • Complex numbers (part 2)
  • Discrete probability distributions
  • Work, energy and power (part 1)
  • Series
  • Algebra and functions
  • Proof
  • Poisson and binomial distributions (part 2)
  • Work, energy and power (part 2)
  • Vectors
  • Poisson and binomial distributions (part 2)
  • Chi squared tests
  • Elastic collisions in one dimension
  • Calculus
  • Chi squared tests (part 1)
  • Elastic collisions in one dimension

 

 

 

Summary:

Autumn

Spring

Summer

  • Complex numbers
  • Geometric and negative binomial distributions
  • Momentum and impulse
  • Hyperbolic functions
  • Polar coordinates (part 1)
  • Hypothesis testing
  • The Central Limit Theorem
  • Elastic strings and springs and elastic energy
  • Polar coordinates (part 2)
  • Further algebra and functions (series)

 

 

  • Chi squared tests (part 3) 
  • Probability generating functions
  • Elastic strings and springs and elastic energy
  • Further calculus (part 1)
  • Probability generating functions
  • Elastic collisions in two dimensions
  • Further calculus (part 2)
  • Differential equations (part 1)
  • Quality of tests and estimators (part 1)
  • Elastic collisions in two dimensions
  • Differential equations (part 2)
  • Quality of tests and estimators (part 2)
  • Oblique impacts

Additional Reading:

Clegg, A. (2003) A brief history of infinity, Robinson

Courant, R. Robbins, H. and Stewart, S. (1996) What is mathematics?, Oxford University Press

Du Sautoy, M. (2003) The music of the primes : why an unsolved problem in mathematics matters, Harper Perennial

Frankel, L. (1997) Numbers: the universal language, Thames and Hudson

Hodges, A. (1992) Alan Turing: the enigma, Vintage

Singh, S. (2001) The cracking code book: how to make it, break it, hack it, crack it, Harper Collins

Zaslavsky, C. (1999) Africa counts: number and pattern in African cultures, A Cappella Books

Singh, S. (2002) Fermat’s Last Theorem, Fourth Estate

Hofstadter, D. (1999) Gödel, Escher, Bach : An Eternal Golden Braid, Basic Books

Yanofsky, N. (2016) The Outer Limits of Reason: What Science, Mathematics, and Logic Cannot Tell Us, MIT Press

Stoppard, T.(1993) Arcadia, Faber and Faber

 

Useful websites:

https://www.youtube.com/channel/hindsmaths

www://integralmaths.org

https://www.drfrostmaths.com/

https://www.mathsgenie.co.uk/

https://www.wolframalpha.com/

https://www.examsolutions.net/a-level-maths/edexcel/

https://www.desmos.com/

https://www.geogebra.org/