FURTHER MATHEMATICS

COURSE DESCRIPTION:

This course is part of the A-level Programme and it complements the Mathematics A-level for those students seeking entry to demanding Engineering or Economics degree courses. . Teaching is done by regular classes and is supported by downloadable notes and set exercises as well as their solutions.

RECOMMENDED BOOKS:

Edexcel AS and A Level Modular Mathematics: Further Mathematics 1 by Keith Pledger and Dave Wilkins, 2008
Edexcel AS and A Level Modular Mathematics: Further Mathematics 2 by Keith Pledger and Dave Wilkins, 2009
Edexcel AS and A Level Modular Mathematics: Decision Mathematics 1 by Susie Jameson, 2010
Edexcel AS and A Level Modular Mathematics: Mechanics 2 by Keith Pledger, 2009
Edexcel AS and A Level Modular Mathematics: Mechanics 3 by Keith Pledger, 2009
Edexcel AS and A Level Modular Mathematics: Statistics 2 Keith Pledger and and Alan Clegg, 2009

COURSE OUTLINE:

complex numbers
roots of quadratic equations
numerical solution of equations
coordinate systems (conic sections)
matrix algebra
transformations using matrices
further series
proof by induction
Inequalities
McLaurin and Taylor series
further complex numbers
first order differential equations
second order differential equations
polar coordinates

algorithms
algorithms on graphs
the route inspection problem
critical path analysis
linear programming
matchings

kinematics of a particle moving in a straight line or plane
centres of mass
work and energy
collisions
statics of rigid bodies

further kinematics
elastic strings and springs
further dynamics
motion in a circle
simple harmonic motion

Binomial distributions
Poisson distributions
continuous random variables
continuous distributions
sampling distributions
hypothesis tests