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, 2009COURSE 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 coordinatesalgorithms

algorithms on graphs

the route inspection problem

critical path analysis

linear programming

matchingskinematics of a particle moving in a straight line or plane

centres of mass

work and energy

collisions

statics of rigid bodiesfurther kinematics

elastic strings and springs

further dynamics

motion in a circle

simple harmonic motionBinomial distributions

Poisson distributions

continuous random variables

continuous distributions

sampling distributions

hypothesis tests